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P. Abramenko, University of Virginia D. Adams, University of Kentucky, Lexington, R. P. Agarwal, Texas A&M Dept. Mathematics, Charlottesville, VI, KY, USA University-Kingsville, Kingsville, TX, USA; K. S. Brown, Cornell University Dept. USA; E. KARAPINAR, Atılım University, Neurobiology & Behavior, Ithaca, NY, USA Morrey Spaces Incek, Ankara, Turkey; D. O’Regan, National University of Ireland, Galway, In this set of lecture notes, the author Buildings Ireland; A. F. Roldán-López-de-Hierro, includes some of the latest research on University of Granada, Granada, Spain This text started out as a revised version the theory of Morrey Spaces associated of Buildings by the second-named author with Harmonic Analysis. There are three Fixed Point Theory in [53], but it has grown into a much main claims concerning these spaces that Metric Type Spaces more voluminous book. The earlier are covered: determining the integrability bookwasintendedtogiveashort,friendly,ele- classes of the trace of Riesz potentials of Written by a team of leading experts mentaryintroductiontothet- ory,accessi- an arbitrary Morrey function; determining in the field, this volume presents a bletoreaderswithaminimalbackground. the dimensions of singular sets of weak self-contained account of the theory, Moreover,itapproached buildings from only solutions of PDE (e.g. The Meyers-Elcart techniques and results in metric type spaces one point of view, sometimes called the System); and determining whether there (in particular in G-metric spaces); that is, “old-fashioned” approach: A building is a are any “full” interpolation results for linear the text approaches this important area simplicial complex with certain properties. operators between Morrey spaces. [...] of fixed point analysis beginning from the The current book includes all the material of 2015. XVII, 124 p. 1 illus. in color. (Applied and basic ideas of metric space topology. [...] the earlier one, but we have added a lot. [...] Numerical Harmonic Analysis) Softcover 2015. XVII, 385 p. Hardcover 2008. XXII, 754 p. 100 illus. (Graduate Texts in € (D) 42,80 | € (A) 44,00 | *CHF 44.00 € (D) 101,64 | € (A) 104,49 | *CHF 104.50 Mathematics, Volume 248) Hardcover € 40,00 | £ 29,99 € 94,99 | £ 71,00 € (D) 50,24 | € (A) 51,65 | *CHF 67.50 € 46,95 | £ 42,99 Yellow Sale Price Yellow Sale Price € (D) 26,74 | € (A) 27,49 | *CHF 27.50 € (D) 58,84 | € (A) 60,49 | *CHF 60.50 Yellow Sale Price € 24,99 | £ 18,99 € 54,99 | £ 40,99 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 978-3-319-26679-4 978-3-319-24080-0 € 24,99 | £ 18,99 978-0-387-78834-0 ,!7ID3B9-cgghje! ,!7ID3B9-ceaiaa! ,!7IA3I7-hiidea!

M. Adams; V. Guillemin R. P. Agarwal, Texas A&M University - M. S. Agranovich, Moscow, Russia Kingsville, Kingsville, TX, USA; K. Perera, Measure Theory and Probability Florida Institute of Technology, Melbourne, Sobolev Spaces, Their FL, USA; S. Pinelas, Academia Militar, Generalizations and Elliptic “…the text is user friendly to the topics it Amadora, Portugal considers and should be very accessible… Problems in Smooth and Instructors and students of statistical An Introduction to Lipschitz Domains measure theoretic courses will appreciate Complex Analysis This book, which is based on several the numerous informative exercises; courses of lectures given by the author at helpful hints or solution outlines are given This textbook introduces the subject the Independent University of Moscow, with many of the problems. All in all, the of complex analysis to advanced is devoted to Sobolev-type spaces and text should make a useful reference for undergraduate and graduate students boundary value problems for linear elliptic professionals and students.”—The Journal in a clear and concise manner. [...] partial differential equations. Its main focus of the American Statistical Association 2011. XIV, 331 p. Hardcover is on problems in non-smooth (Lipschitz) 1996. XVI, 206 p. (The Wadsworth & Brooks/ domains for strongly elliptic systems. The € (D) 64,15 | € (A) 65,95 | *CHF 86.00 Cole Mathematics Series) Hardcover author, who is a prominent expert in the € 59,95 | £ 53,99 € (D) 53,49 | € (A) 54,99 | *CHF 58.50 theory of linear partial differential equations, € 49,99 | £ 46,99 Yellow Sale Price spectral theory and pseudodifferential € (D) 32,09 | € (A) 32,99 | *CHF 33.00 operators, has included his own very Yellow Sale Price € 29,99 | £ 22,99 recent findings in the present book. [...] € (D) 26,74 | € (A) 27,49 | *CHF 27.50 978-1-4614-0194-0 € 24,99 | £ 18,99 2015. XIII, 331 p. (Springer Monographs in Mathematics) Hardcover 978-0-8176-3884-9 ,!7IB4G1-eabjea! € (D) 101,64 | € (A) 104,49 | *CHF 126.50 ,!7IA8B7-gdiiej! € 94,99 | £ 85,50 Yellow Sale Price € (D) 58,84 | € (A) 60,49 | *CHF 60.50 € 54,99 | £ 40,99 978-3-319-14647-8 ,!7ID3B9-begehi!

1 Yellow Sale 2017 springer.com | English Titles

D. Aita, Associazione Edoardo Benvenuto, J. Akiyama, Tokyo University of Science, J. Albert, Bowling Green State University Genova, Italy; O. Pedemonte, Università Tokyo, Japan; K. Matsunaga, Yokohama, Dept. Mathematics & Statistics, Bowling di Genova, Genova, Italy; K. Williams, Kim Japan Green, OH, USA Williams Books, Torino, Italy (Eds) Treks into Intuitive Geometry Bayesian Computation with R Masonry Structures: Between Mechanics and Architecture This book is written in a style that uncovers There has been dramatic growth in the the mathematical theories buried in our development and application of Bayesian The book aims to provide an overview of the everyday lives such as examples from inference in statistics. Berger (2000) state of the art on the mechanics of arches patterns that appear in nature, art, and documents the increase in Bayesian activity and masonry structures. It is addressed traditional crafts, and in mathematical mech- by the number of published research articles, to an international audience, arising from anisms in techniques used by architects. the number of books,andtheextensivenum- the international context in which the The authors believe that through dialogues berofapplicationsofBayesianarticlesinapplied Associazione Edoardo Benvenuto has carried between students and mathematicians, disciplines such as science and engineering. out its activities in recent years, under the readers may discover the processes by One reason for the dramatic growth in honorary presidency of Jacques Heyman. [...] which the founders of the theories came Bayesian modeling is the availab- ity of to their various conclusions―their trials, computational algorithms to compute 2015. XII, 327 p. Hardcover errors, tribulations, and triumphs. [...] the range of integrals that are necessary € (D) 90,94 | € (A) 93,49 | *CHF 96.00 in a Bayesian posterior analysis. [...] 2015. XV, 425 p. Hardcover € 84,99 | £ 76,50 € (D) 64,19 | € (A) 65,99 | *CHF 66.00 2nd ed. 2009. XII, 300 p. (Use R!) Softcover Yellow Sale Price € 59,99 | £ 44,99 € (D) 48,10 | € (A) 49,45 | *CHF 64.50 € (D) 50,28 | € (A) 51,69 | *CHF 52.00 € 44,95 | £ 42,99 € 46,99 | £ 34,99 Yellow Sale Price € (D) 32,09 | € (A) 32,99 | *CHF 33.00 Yellow Sale Price 978-3-319-13002-6 € 29,99 | £ 22,99 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 978-4-431-55841-5 € 24,99 | £ 18,99 ,!7ID3B9-bdaacg! 978-0-387-92297-3 ,!7IE4D1-ffiebf! ,!7IA3I7-jccjhd!

J. Akiyama, Tokai University Research A. G. Aksoy, Claremont McKenna College M. M. Alexandrino, Instituto de Matemática Institute, Shibuya-ku, Japan; M. Kano, Ibaraki Dept. Mathematics & Computer Science, e Estatística, Universidade de São Paulo, University Computer and Information Claremont, CA, USA; M. A. Khamsi, University São Paulo, Brazil; R. G. Bettiol, University of Sciences, Hitachi, Japan of Texas, El Paso (UTEP) Dept. Mathematical Pennsylvania, Philadelphia, PA, USA Sciences, El Paso, TX, USA Factors and Factorizations Lie Groups and Geometric of Graphs A Problem Book in Real Analysis Aspects of Isometric Actions

This book chronicles the development of Education is an admirable thing, but it is This book provides quick access to the graph factors and factorizations. It pursues a well to remember from time to time that theory of Lie groups and isometric actions comprehensive approach, addressing most nothing worth knowing can be taught. Oscar on smooth manifolds, using a concise geo- of the important results from hundreds of Wilde, “The Critic as Artist,” 1890. Analysis is a metric approach. After a gentle introduction findings over the last century. One of the profound subject; it is neither easy to under- to the subject, some of its recent applica- main themes is the observation that many stand nor summarize. However, Real Analysis tions to active research areas are explored, theorems can be proved using only a few can be discovered by solving problems. This keeping a constant connection with the standard proof techniques. This stands in book aims to give independent students basic material. The topics discussed include marked contrast to the seemingly countless, the opportunity to discover Real Analysis by polar actions, singular Riemannian foliations, complex proof techniques offered by the themselves through problem solving. [...] cohomogeneity one actions, and positively extant body of papers and books. [...] 2010. X, 254 p. (Problem Books in curved manifolds with many symmetries. [...] 2011. XII, 353 p. 153 illus. (Lecture Notes in Mathematics) Hardcover 2015. X, 213 p. 14 illus. Hardcover Mathematics, Volume 2031) Softcover € (D) 53,45 | € (A) 54,95 | *CHF 72.00 € (D) 90,94 | € (A) 93,49 | *CHF 96.00 € (D) 74,85 | € (A) 76,95 | *CHF 100.50 € 49,95 | £ 44,99 € 84,99 | £ 76,50 € 69,95 | £ 62,99 Yellow Sale Price Yellow Sale Price Yellow Sale Price € (D) 26,74 | € (A) 27,49 | *CHF 27.50 € (D) 50,28 | € (A) 51,69 | *CHF 52.00 € (D) 37,44 | € (A) 38,49 | *CHF 38.50 € 24,99 | £ 18,99 € 46,99 | £ 34,99 € 34,99 | £ 26,99 978-1-4419-1295-4 978-3-319-16612-4 978-3-642-21918-4 ,!7IB4E1-jbcjfe! ,!7ID6E2-cbjbie! ,!7ID3B9-bggbce!

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M. Al-Gwaiz, King Saud University College of D. Alpay, Ben-Gurion University of the Negev R. Alvarado, University of Missouri, Science, Riyadh, Saudi Arabia Dept of Math, Bldg 37, Beer-Sheva, Israel Columbia, MO, USA; M. Mitrea, University of Missouri, Columbia, MO, USA Sturm-Liouville Theory An Advanced Complex and its Applications Analysis Problem Book Hardy Spaces on Ahlfors- Regular Quasi Metric Spaces Developed from a course taught to senior This is an exercises book at the beginning undergraduates, this book provides a unified graduate level, whose aim is to illustrate Systematically constructing an optimal introduction to Fourier analysis and special some of the connections between functional theory, this monograph develops functions based on the Sturm-Liouville the- analysis and the theory of functions of one and explores several approaches to ory in L2. The treatment relies heavily on the variable. A key role is played by the notions Hardy spaces in the setting of Alhl- convergence properties of sequences and of positive definite kernel and of reproducing fors-regular quasi-metric spaces. [...] series of numbers as well as functions, and kernel Hilbert space. A number of facts from 2015. VIII, 486 p. 17 illus., 12 illus. in color. assumes a solid background in advanced functional analysis and topological vector (Lecture Notes in Mathematics, Volume 2142) calculus and an acquaintance with ordinary spaces are surveyed. Then, various Hilbert Softcover differential equations and linear algebra. spaces of analytic functions are studied. Familiarity with the relevant theorems of real € (D) 74,89 | € (A) 76,99 | *CHF 79.00 2015. IX, 521 p. Softcover analysis, such as the Ascoli–Arzelà theorem, € 69,99 | £ 62,99 is also useful for following the proofs. [...] € (D) 74,89 | € (A) 76,99 | *CHF 77.00 € 69,99 | £ 52,99 Yellow Sale Price 2008. X, 264 p. (Springer Undergraduate € (D) 37,44 | € (A) 38,49 | *CHF 38.50 Mathematics Series) Softcover Yellow Sale Price € 34,99 | £ 26,99 ( ) | ( ) | € (D) 37,40 | € (A) 38,45 | *CHF 47.00 € D 37,44 € A 38,49 *CHF 38.50 978-3-319-18131-8 | € 34,95 | £ 24,95 € 34,99 £ 26,99 978-3-319-16058-0 Yellow Sale Price ,!7ID3B9-bibdbi! € (D) 18,18 | € (A) 18,69 | *CHF 19.00 € 16,99 | £ 12,99 ,!7ID3B9-bgafia! 978-1-84628-971-2 ,!7IB8E6-cijhbc!

K. T. Alligood; T. D. Sauer; J. A. Yorke J.L. Alperin; R. B. Bell S. Amari, RIKEN Brain Science Institute, Wako Chaos Groups and Representations Information Geometry and Its Applications Chaos: An Introduction to Dynamical The aim of this book is to provide a concise Systems, was developed and class-tested treatment of some topics from group theory This is the first comprehensive book on by a distinguished team of authors at two and representation theory for a one term information geometry, written by the universities through their teaching of course. It focuses on the non-commutative founder of the field. It begins with an courses based on the material. Intended side of the field emphasizing the general lin- elementary introduction to dualistic for courses in nonlinear dynamics offered ear group as the most important group and geometry and proceeds to a wide range of either in Mathematics or Physics, the text example. The book will enable graduate stu- applications, covering information science, requires only calculus, differential equations, dents from every mathematical field, as well engineering, and neuroscience. It consists and linear algebra as prerequisites. [...] as strong undergraduates with an interest in of four parts, which on the whole can be algebra, to solidify their knowledge of group 1996. XVII, 603 p. (Textbooks in Mathematical read independently. A manifold with a theory. The reader should have a familiarity Sciences) Softcover divergence function is first introduced, with groups, rings, and fields, along with leading directly to dualistic structure, the € (D) 53,45 | € (A) 54,95 | *CHF 77.50 a solid knowledge of linear algebra. [...] heart of information geometry. This part € 49,95 | £ 44,99 1995. X, 196 p. (Graduate Texts in (Part I) can be apprehended without any Yellow Sale Price Mathematics, Volume 162) Softcover knowledge of differential geometry. [...] ( ) | ( ) | € D 26,74 € A 27,49 *CHF 27.50 € (D) 48,10 | € (A) 49,45 | *CHF 69.00 2016. XIII, 373 p. 94 illus. (Applied | € 24,99 £ 18,99 € 44,95 | £ 40,99 Mathematical Sciences, Volume 194) 978-0-387-94677-1 Hardcover Yellow Sale Price € (D) 101,64 | € (A) 104,49 | *CHF 104.50 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 € 94,99 | £ 71,00 ,!7IA3I7-jeghhb! € 24,99 | £ 18,99 978-0-387-94526-2 Yellow Sale Price € (D) 69,54 | € (A) 71,49 | *CHF 71.50 ,!7IA3I7-jefcgc! € 64,99 | £ 48,99 978-4-431-55977-1 ,!7IE4D1-ffjhhb!

3 Yellow Sale 2017 springer.com | English Titles

L. Ambrosio, Scuola Normale Superiore T. Andreescu, University of Texas at T. Andreescu, University of Texas at Dallas, Department of Mathematics, Pisa, Dallas Natural Sciences and Mathematics, Richardson, TX, USA; D. Andrica, “Babeş- Italy; N. Gigli, Scuola Normale Superiore Richardson, TX, USA; R. Gelca, Texas Tech Bolyai” University, Cluj-Napoca, Romania Dipto. Matematica, Pisa, Italy; G. Savare, University Dept. Mathematics & Statistics, University of Pavia Department of Lubbock, TX, USA Quadratic Diophantine Mathematics, Pavia, Italy Equations Mathematical Olympiad Gradient Flows Challenges This monograph treats the classical theory of quadratic Diophantine equations and 2nd ed. 2008. IX, 334 p. (Lectures in Why Olympiads? Working mathemati- guides the reader through the last two Mathematics. ETH Zürich) Softcover ciansoftentell us that results in the eld are decades of computational techniques and € (D) 53,45 | € (A) 54,95 | *CHF 66.50 achievedafter long experience and a deep progress in the area. These new techniques € 49,95 | £ 44,99 familiarity with mathematical objects, that combined with the latest increases in progress is made slowly and collectively, computational power shed new light on Yellow Sale Price and that ashes of inspiration are mere important open problems. The authors € (D) 26,74 | € (A) 27,49 | *CHF 27.50 punctuation in periods of sustained effort. motivate the study of quadratic Diophantine € 24,99 | £ 18,99 TheOlympiadenvironment,incontrast,de- equations with excellent examples, open 978-3-7643-8721-1 mandsarelativelybriefperiodofintense problems and applications. Moreover, coccasions,andrequiresaconcentrated but the exposition aptly demonstrates many ,!7ID7G4-dihcbb! isolated effort. Yet we have foundthat par- applications of results and techniques ticipantsin mathematicsOlympiadshave [...] from the study of Pell-type equations to other problems in number theory. [...] 2nd ed. 2009. XVII, 283 p. 108 illus. (Wissenschaftsprogramm nur 2015. XVIII, 211 p. (Developments in englisch(Birkhäuser)) Softcover Mathematics, Volume 40) Hardcover € (D) 37,34 | € (A) 38,39 | *CHF 59.90 € (D) 53,49 | € (A) 54,99 | *CHF 56.50 € 34,90 | £ 27,99 € 49,99 | £ 44,99 Yellow Sale Price Yellow Sale Price € (D) 18,18 | € (A) 18,69 | *CHF 19.00 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 € 16,99 | £ 12,99 € 24,99 | £ 18,99 978-0-8176-4528-1 978-0-387-35156-8 ,!7IA8B7-gefcib! ,!7IA3I7-dfbfgi!

D. F. Anderson, University of Wisconsin, T. Andreescu, University of Texas at M. Arkowitz, Dartmouth College Madison, Madison, WI, USA; T. G. Kurtz, Dallas Natural Sciences and Mathematics, Department of Mathematics, Hanover, NH, University of Wisconsin, Madison, WI, USA Richardson, TX, USA; D. Andrica, Babeş- USA Bolyai University Faculty of Mathematics and Stochastic Analysis of Computer Scie, Cluj-Napoca, Romania Introduction to Biochemical Systems Homotopy Theory Number Theory This book focuses on counting processes and This is a book in pure mathematics dealing continuous-time Markov chains motivated Number theory, an ongoing rich area of with homotopy theory, one of the main by examples and applications drawn from mathematical exploration, is noted for its branches of algebraic topology. The princi- chemical networks in systems biology. The theoretical depth, with connections and pal topics are as follows: Basic Homotopy; book should serve well as a supplement applications to other fields from represen- H-spaces and co-H-spaces; fibrations and for courses in probability and stochastic tation theory, to physics, cryptography, cofibrations; exact sequences of homotopy processes. While the material is presented and more. While the forefront of number sets, actions, and coactions; homotopy in a manner most suitable for students who theory is replete with sophisticated and pushouts and pullbacks; classical theorems, have studied stochastic processes up to famous open problems, at its foundation including those of Serre, Hurewicz, Blak- and including martingales in continuous are basic, elementary ideas that can ers-Massey, and Whitehead; homotopy Sets; time, much of the necessary background stimulate and challenge beginning students. homotopy and homology decompositions material is summarized in the Appendix. [...] This lively introductory text focuses on a of spaces and maps; and obstruction theory. problem-solving approach to the subject. [...] The underlying theme of the entire book 2015. X, 84 p. 4 illus. (Mathematical is the Eckmann-Hilton duality theory. [...] Biosciences Institute Lecture Series, Volume 2009. XVIII, 384 p. 2 illus. 1.2) Softcover (Wissenschaftsprogramm nur 2011. XIII, 344 p. 333 illus. (Universitext) englisch(Birkhäuser)) Hardcover € (D) 42,79 | € (A) 43,99 | *CHF 53.50 Softcover € 39,99 | £ 35,99 € (D) 53,39 | € (A) 54,89 | *CHF 89.90 € (D) 64,15 | € (A) 65,95 | *CHF 86.00 € 49,90 | £ 44,99 € 59,95 | £ 53,99 Yellow Sale Price € (D) 21,39 | € (A) 21,99 | *CHF 22.00 Yellow Sale Price Yellow Sale Price € 19,99 | £ 14,99 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 € (D) 32,09 | € (A) 32,99 | *CHF 33.00 € 24,99 | £ 18,99 978-3-319-16894-4 € 29,99 | £ 22,99 978-0-8176-3245-8 978-1-4419-7328-3 ,!7ID3B9-bgijee! ,!7IA8B7-gdcefi! ,!7IB4E1-jhdcid! 4 springer.com | English Titles Yellow Sale 2017

V. I. Arnold, Russian Academy of Sciences S. Asmussen, University of Aarhus J. Awrejcewicz, Technical University of Łódź Steklov Mathematical Institute, Moscow, Dept. Mathematical Sciences, Aarhus C, Department of Automatics & Biomechanics, Russia Denmark; P. W. Glynn, Stanford University Łódź, Poland; Z. Koruba, Kielce University of Huang Engineering Center 357, Stanford, CA, Technology, Kielce, Poland Lectures on Partial USA Differential Equations Classical Mechanics Stochastic Simulation: Choice Outstanding Title! (January 2006) Algorithms and Analysis This is the last book of three devoted Like all of Vladimir Arnold’s books, this book to Mechanics, and uses the theoretical is full of geometric insight. Arnold illustrates Sampling-based computational methods background presented in Classical every principle with a figure. This book aims have become a fundamental part of the Mechanics: Kinematics and Statics and to cover the most basic parts of the subject numerical toolset of practitioners and Classical Mechanics: Dynamics. It focuses and confines itself largely to the Cauchy researchers across an enormous number on exhibiting a unique approach, rooted and Neumann problems for the classical of different applied domains and academic in the classical mechanics, to study linear equations of mathematical physics, disciplines. This book provides a broad mechanical and electromagnetic processes especially Laplace’s equation and the wave treatment of such sampling-based methods, occurring in Mechatronics. Contrary to equation, although the heat equation and as well as accompanying mathematical the majority of the books devoted to the Korteweg-de Vries equation are also dis- analysis of the convergence properties of Applied Mechanics, this volume places a cussed. Physical intuition is emphasized. [...] the methods discussed. The reach of the particular emphasis on theory, modeling, ideas is illustrated by discussing a wide analysis, and control of gyroscopic devices, 2004. X, 162 p. (Universitext) Softcover range of applications and the models including the military applications. [...] € (D) 53,49 | € (A) 54,99 | *CHF 56.50 that have found wide usage. [...] 2012. XXI, 250 p. 173 illus., 146 illus. in color. € 49,99 | £ 44,99 2007. XIV, 476 p. (Stochastic Modelling and (Advances in Mechanics and Mathematics, Yellow Sale Price Applied Probability, Volume 57) Hardcover Volume 30) Hardcover ( ) | ( ) | € D 26,74 € A 27,49 *CHF 27.50 € (D) 53,45 | € (A) 54,95 | *CHF 75.00 € (D) 117,69 | € (A) 120,99 | *CHF 121.00 | € 24,99 £ 18,99 € 49,95 | £ 43,99 € 109,99 | £ 82,00 978-3-540-40448-4 Yellow Sale Price Yellow Sale Price € (D) 26,74 | € (A) 27,49 | *CHF 27.50 € (D) 58,84 | € (A) 60,49 | *CHF 60.50 ,!7ID5E0-eaeeie! € 24,99 | £ 18,99 € 54,99 | £ 40,99 978-0-387-30679-7 978-1-4614-3977-6 ,!7IA3I7-daghjh! ,!7IB4G1-edjhhg!

K. Arwini, Al-Fateh University Fac. Sciences, I. Avramidi, New Mexico Tech, Socorro, NM J. Awrejcewicz, Technical University of Łódź Tripoli, Libya; C. T. J. Dodson, University Department of Automatics & Biomechanics, of Manchester Mathematical Institute, Heat Kernel Method Łódź, Poland Manchester, UK and its Applications Classical Mechanics Information Geometry The heart of the book is the development of a short-time asymptotic expansion for This is the second volume of three books 2008. X, 260 p. 103 illus. (Lecture Notes in the heat kernel. This is explained in detail devoted to Mechanics. In this book, Mathematics, Volume 1953) Softcover and explicit examples of some advanced dynamical and advanced mechanics € (D) 48,10 | € (A) 49,45 | *CHF 64.50 calculations are given. In addition some problems are stated, illustrated, and € 44,95 | £ 40,99 advanced methods and extensions, discussed, including a few novel concepts including path integrals, jump diffusion and in comparison to standard text books and Yellow Sale Price others are presented. The book consists of monographs. Apart from being addressed € (D) 26,74 | € (A) 27,49 | *CHF 27.50 four parts: Analysis, Geometry, Perturbations to a wide spectrum of graduate students, € 24,99 | £ 18,99 and Applications. The first part shortly postgraduate students, researchers, and 978-3-540-69391-8 reviews of some background material teachers from the fields of mechanical and gives an introduction to PDEs. [...] and civil engineering, this volume is also ,!7ID5E0-gjdjbi! intended to be used as a self-contained 2015. XIX, 390 p. 17 illus. in color. Hardcover material for applied mathematicians and € (D) 101,64 | € (A) 104,49 | *CHF 104.50 physical scientists and researchers. € 94,99 | £ 71,00 2012. XIV, 466 p. (Advances in Mechanics and Yellow Sale Price Mathematics, Volume 29) Hardcover € (D) 58,84 | € (A) 60,49 | *CHF 60.50 € (D) 187,24 | € (A) 192,49 | *CHF 192.50 € 54,99 | £ 40,99 € 174,99 | £ 130,50 978-3-319-26265-9 Yellow Sale Price € (D) 93,08 | € (A) 95,69 | *CHF 96.00 ,!7ID3B9-cgcgfj! € 86,99 | £ 64,99 978-1-4614-3739-0 ,!7IB4G1-edhdja!

5 Yellow Sale 2017 springer.com | English Titles

J. Awrejcewicz, Technical University of Łódź B. Bajnok, Gettysburg College, Gettysburg, T. Banchoff, Brown University Dept. Department of Automatics & Biomechanics, PA, USA Mathematics, Providence, RI, USA; J. Wermer, Łódź, Poland An Invitation to Abstract Linear Algebra Through Classical Mechanics Mathematics Geometry

This is the first volume of three, devoted This undergraduate textbook is intended Linear Algebra Through Geometry intro- to Mechanics. This book contains classical primarily for a transition course into higher duces the concepts of linear algebra through mechanics problems including kinematics mathematics, although it is written with a the careful study of two and three-dimen- and statics. It is recommended as a broader audience in mind. The heart and sional Euclidean geometry. This approach supplementary textbook for undergraduate soul of this book is problem solving, where makes it possible to start with vectors, linear and graduate students from mechanical each problem is carefully chosen to clarify transformations, and matrices in the context and civil engineering, as well as for physical a concept, demonstrate a technique, or to of familiar plane geometry and to move scientists and engineers. It contains a basic enthuse. The exercises require relatively directly to topics such as dot products, deter- introduction to classical mechanics, extensive arguments, creative approaches, minants, eigenvalues, and quadratic forms. including fundamental principles, statics, or both, thus providing motivation for the The later chapters deal with n-dimensional and the geometry of masses, as well as reader. With a unified approach to a diverse Euclidean space and other finite-dimensional thorough discussion on kinematics. collection of topics, this text points out vector space. Topics include systems of linear 2012. XIII, 440 p. 260 illus., 258 illus. in color. connections, similarities, and differences equations in n variable, inner products, (Advances in Mechanics and Mathematics, among subjects whenever possible. [...] symmetric matrices, and quadratic forms. [...] Volume 28) Hardcover 2013. XIV, 406 p. (Undergraduate Texts in 2nd ed. 1992. XII, 308 p. (Undergraduate € (D) 187,24 | € (A) 192,49 | *CHF 192.50 Mathematics) Softcover Texts in Mathematics) Hardcover € 174,99 | £ 130,50 € (D) 48,14 | € (A) 49,49 | *CHF 60.00 € (D) 58,80 | € (A) 60,45 | *CHF 86.50 Yellow Sale Price € 44,99 | £ 40,99 € 54,95 | £ 49,99 € (D) 93,08 | € (A) 95,69 | *CHF 96.00 Yellow Sale Price Yellow Sale Price € 86,99 | £ 64,99 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 € (D) 28,88 | € (A) 29,69 | *CHF 30.00 978-1-4614-3790-1 € 24,99 | £ 18,99 € 26,99 | £ 19,99 ,!7IB4G1-edhjab! 978-1-4899-9560-5 978-0-387-97586-3 ,!7IB4I9-jjfgaf! ,!7IA3I7-jhfigd!

N. Bacaër, IRD, Bondy Cedex, France A. A. Balinsky, Cardiff University, Cardiff, M. Bardi, Università di Padova UK; W. D. Evans, Cardiff University, Cardiff, Dipto. Matematica, Padova, A Short History of Mathematical UK; R. T. Lewis, University of Alabama at Italy; I. Capuzzo-Dolcetta, Università di Population Dynamics Birmingham, Birmingham, AL, USA Roma Dipto. Matematica, Roma, Italy

As Eugene Wigner stressed, mathematics The Analysis and Geometry Optimal Control and Viscosity has proven unreasonably effective in the of Hardy’s Inequality Solutions of Hamilton- physical sciences and their technological Jacobi-Bellman Equations applications. The role of mathematics in the This volume presents advances that have biological, medical and social sciences has been made over recent decades in areas The purpose of the present book is to been much more modest but has recently of research featuring Hardy’s inequality offer an up-to-date account of the theory grown thanks to the simulation capacity and related topics. The inequality and its of viscosity solutions of first order partial offered by modern computers.

This extensions and refinements are not only differential equations of Hamilton-Jacobi book traces the history of population of intrinsic interest but are indispensable type and its applications to optimal deter- dynamics---a theoretical subject closely tools in many areas of mathematics and ministic control and differential games. [...] connected to genetics, ecology, epidemiol- mathematical physics. Hardy inequalities ogy and demography---where mathematics on domains have a substantial role and 1997. XVII, 574 p. 16 illus. (Modern Birkhäuser has brought significant insights. [...] this necessitates a detailed investigation Classics) Softcover of significant geometric properties € (D) 48,14 | € (A) 49,49 | *CHF 59.50 2011. X, 160 p. 60 illus. Softcover of a domain and its boundary. [...] € 44,99 | £ 40,99 € (D) 26,70 | € (A) 27,45 | *CHF 36.00 € 24,95 | £ 22,99 2015. XV, 263 p. 3 illus. (Universitext) Yellow Sale Price Softcover € (D) 26,74 | € (A) 27,49 | *CHF 27.50 Yellow Sale Price € (D) 53,49 | € (A) 54,99 | *CHF 56.50 € 24,99 | £ 18,99 € (D) 16,04 | € (A) 16,49 | *CHF 16.50 € 49,99 | £ 29,99 978-0-8176-4754-4 € 14,99 | £ 11,99 978-0-85729-114-1 Yellow Sale Price € (D) 26,74 | € (A) 27,49 | *CHF 27.50 ,!7IA8B7-gehfee! ,!7IA8F7-cjbbeb! € 24,99 | £ 18,99 978-3-319-22869-3 ,!7ID3B9-ccigjd!

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J. Barnes, John Barnes Informatics, Reading, S. Bartels, Albert-Ludwigs-Universität O. Baumgart UK Freiburg, Freiburg, Germany The Quadratic Reciprocity Law Gems of Geometry Numerical Methods for Nonlinear Partial This book is the English translation of Based on a series of lectures for adult Baumgart’s thesis on the early proofs of students, this lively and entertaining book Differential Equations the quadratic reciprocity law (“Über das proves that, far from being a dusty, dull The description of many interesting phe- quadratische Reciprocitätsgesetz. Eine subject, geometry is in fact full of beauty and nomena in science and engineering leads to vergleichende Darstellung der Beweise”), fascination. The author’s infectious enthusi- infinite-dimensional minimization or evolu- first published in 1885. It is divided into asm is put to use in explaining many of the tion problems that define nonlinear partial two parts. The first part presents a very key concepts in the field, starting with the differential equations. While the develop- brief history of the development of number Golden Number and taking the reader on a ment and analysis of numerical methods for theory up to Legendre, as well as detailed geometrical journey via Shapes and Solids, linear partial differential equations is nearly descriptions of several early proofs of the through the Fourth Dimension, finishing up complete, only few results are available quadratic reciprocity law. The second part with Einstein’s Theories of Relativity. [...] in the case of nonlinear equations. [...] highlights Baumgart’s comparisons of the principles behind these proofs. [...] 2nd ed. 2012. XIII, 325 p. 337 illus., 139 illus. in 2015. X, 393 p. 122 illus. (Springer Series in color. Hardcover Computational Mathematics, Volume 47) 2015. XIV, 172 p. 1 illus. Hardcover € (D) 42,75 | € (A) 43,95 | *CHF 53.50 Hardcover € (D) 74,89 | € (A) 76,99 | *CHF 93.50 € 39,95 | £ 22,95 € (D) 101,64 | € (A) 104,49 | *CHF 126.50 € 69,99 | £ 62,99 Yellow Sale Price € 94,99 | £ 85,50 Yellow Sale Price € (D) 21,39 | € (A) 21,99 | *CHF 22.00 Yellow Sale Price € (D) 37,44 | € (A) 38,49 | *CHF 38.50 | | € 19,99 £ 14,99 € (D) 58,84 | € (A) 60,49 | *CHF 60.50 € 34,99 £ 26,99 978-3-642-30963-2 € 54,99 | £ 40,99 978-3-319-16282-9 ,!7ID6E2-dajgdc! 978-3-319-13796-4 ,!7ID3B9-bgcicj! ,!7ID3B9-bdhjge!

M. Barot, Universidad Nacional Autónoma N. Bäuerle, Karlsruhe Institute of Technology, A. F. Beardon de México, Mexico City, Mexico Karlsruhe, Germany; U. Rieder, University of Ulm, Ulm, Germany Iteration of Rational Functions Introduction to the Representation Theory Markov Decision Processes This book makes available a comprehensive, with Applications to Finance detailed, and organized treatment of the of Algebras foundations of the theory of iteration of This book gives a general introduction The theory of Markov decision processes rational functions of a complex variable. to the theory of representations of focuses on controlled Markov chains in dis- The material covered extends from the algebras. It starts with examples of crete time. The authors establish the theory original memoirs of Fatou and Julia to the classification problems of matrices under for general state and action spaces and at recent and important results and methods linear transformations, explaining the the same time show its application by means of Sullivan and Shishikura. Many of the three common setups: representation of of numerous examples, mostly taken from details of the proofs have not occurred in quivers, modules over algebras and additive the fields of finance and operations research. print before. The theory of of dynamical functors over certain categories. [...] By using a structural approach many systems and chaos has recently undergone technicalities (concerning measure theory) a rapid growth in popularity, in part due to 2015. X, 179 p. 109 illus. Softcover are avoided. They cover problems with finite the spectacular computer graphics of Julia € (D) 42,79 | € (A) 43,99 | *CHF 53.50 and infinite horizons, as well as partially sets, fractals, and the Mandelbrot set. [...] € 39,99 | £ 35,99 observable Markov decision processes, 1991. XVI, 280 p. 1 illus. (Graduate Texts in piecewise deterministic Markov decision Yellow Sale Price Mathematics, Volume 132) Softcover processes and stopping problems. [...] € (D) 21,39 | € (A) 21,99 | *CHF 22.00 € (D) 48,10 | € (A) 49,45 | *CHF 69.00 € 19,99 | £ 14,99 2011. XVI, 388 p. 24 illus. (Universitext) € 44,95 | £ 40,99 Softcover 978-3-319-11474-3 Yellow Sale Price € (D) 64,15 | € (A) 65,95 | *CHF 86.00 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 € 59,95 | £ 39,99 ,!7ID3B9-bbehed! € 24,99 | £ 18,99 Yellow Sale Price 978-0-387-95151-5 € (D) 32,09 | € (A) 32,99 | *CHF 33.00 € 29,99 | £ 22,99 ,!7IA3I7-jfbfbf! 978-3-642-18323-2 ,!7ID6E2-bidcdc! 7 Yellow Sale 2017 springer.com | English Titles

M. Beck, San Francisco State University, San C. M. Bender, Washington University Dept. R. Benedetti, Università di Pisa Dipto. Francisco, CA, USA; S. Robins, Department of Physics, St. Louis, MO, USA; S. A. Orszag, Yale Matematica, Pisa, Italy; C. Petronio, Mathematics, Brown University, Providence, University Dept. Mathematics, New Haven, Università di Pisa Dipto. Matematica, Pisa, RI, USA CT, USA Italy Computing the Advanced Mathematical Lectures on Hyperbolic Continuous Discretely Methods for Scientists Geometry and Engineers I This richly illustrated textbook explores the In recent years hyperbolic geometry has amazing interaction between combinatorics, The triumphant vindication of bold theo- been the object and the preparation for geometry, number theory, and analysis ries-are these not the pride and justification extensive study that has produced important which arises in the interplay between of our life’s work? -Sherlock Holmes, The and often amazing results and also opened polyhedra and lattices. Highly accessible Valley of Fear Sir Arthur Conan Doyle The up new questions. The book concerns the to advanced undergraduates, as well as main purpose of our book is to present geometry of manifolds and in particular beginning graduate students, this second and explain mathematical methods for hyperbolic manifolds; its aim is to provide edition is perfect for a capstone course, obtaining approximate analytical solutions an exposition of some fundamental results, and adds two new chapters, many new to differential and difference equations and to be as far as possible self-contained, exercises, and updated open problems. that cannot be solved exactly. [...] complete, detailed and unified. [...] For scientists, this text can be utilized 1992. XIV, 330 p. (Universitext) Softcover as a self-contained tooling device. [...] 1999. XIV, 593 p. (Bender,C.M.;Orszag,S.A.:Adv.Math.Methods € (D) 42,75 | € (A) 43,95 | *CHF 57.50 2nd ed. 2015. XX, 285 p. (Undergraduate Scientists,Eng.) Hardcover € 39,95 | £ 34,99 Texts in Mathematics) Hardcover € (D) 79,13 | € (A) 81,35 | *CHF 116.50 € (D) 48,14 | € (A) 49,49 | *CHF 51.00 Yellow Sale Price € 73,95 | £ 66,99 ( ) | ( ) | € 44,99 | £ 40,99 € D 21,39 € A 21,99 *CHF 22.00 Yellow Sale Price € 19,99 | £ 14,99 Yellow Sale Price € (D) 37,44 | € (A) 38,49 | *CHF 38.50 978-3-540-55534-6 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 € 34,99 | £ 26,99 € 24,99 | £ 18,99 978-0-387-98931-0 ,!7ID5E0-fffdeg! 978-1-4939-2968-9 ,!7IB4J3-jcjgij! ,!7IA3I7-jijdba!

R. A. Beeler, East Tennessee State University, B. Benedetti, University of Miami, Coral B. Bercu, Institut de Mathématiques de Johnson City, TN, USA Gables, FL, USA; E. Delucchi, Université de Bordeaux, Université de Bordeaux, Talence, Fribourg, Fribourg, Switzerland; L. Moci, France; B. Delyon, Institut de Recherche How to Count IMJ-PRG, Paris 7, France (Eds) Mathématique de Rennes, Université de Rennes, Rennes, France; E. Rio, Laboratoire Providing a self-contained resource for Combinatorial Methods in de Mathématiques de Versailles, Université upper undergraduate courses in combina- Topology and Algebra de Versailles, St. Quentin en Yvelines, torics, this text emphasizes computation, Versailles, France problem solving, and proof technique. In Combinatorics plays a prominent role in particular, the book places special emphasis contemporary mathematics, due to the Concentration Inequalities the Principle of Inclusion and Exclusion vibrant development it has experienced for Sums and Martingales and the Multiplication Principle. To this in the last two decades and its many end, exercise sets are included at the end interactions with other subjects. [...] The purpose of this book is to provide an of every section, ranging from simple overview of historical and recent results 2015. VII, 227 p. (Springer INdAM Series, computations (evaluate a formula for a given on concentration inequalities for sums of Volume 12) Hardcover set of values) to more advanced proofs. [...] independent random variables and for € (D) 74,89 | € (A) 76,99 | *CHF 79.00 2015. XV, 361 p. 61 illus., 2 illus. in color. martingales. The first chapter is devoted to € 69,99 | £ 62,99 Hardcover classical asymptotic results in probability such as the strong law of large numbers € (D) 48,14 | € (A) 49,49 | *CHF 60.00 Yellow Sale Price and the central limit theorem. [...] € 44,99 | £ 40,99 € (D) 37,44 | € (A) 38,49 | *CHF 38.50 € 34,99 | £ 26,99 2015. X, 120 p. 9 illus. in color. (SpringerBriefs Yellow Sale Price 978-3-319-20154-2 in Mathematics) Softcover € (D) 26,74 | € (A) 27,49 | *CHF 27.50 € (D) 53,49 | € (A) 54,99 | *CHF 56.50 € 24,99 | £ 18,99 € 49,99 | £ 44,99 978-3-319-13843-5 ,!7ID3B9-cabfec! Yellow Sale Price ,!7ID3B9-bdiedf! € (D) 26,74 | € (A) 27,49 | *CHF 27.50 € 24,99 | £ 18,99 978-3-319-22098-7 ,!7ID3B9-ccajih!

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M. Berger, Institut des Hautes Études B. Bergmann, Universität Frankfurt A. Bermúdez de Castro, Universidade Scientifiques (IHES), Bures-sur-Yvette, France Historisches Seminar, Frankfurt, Germany de Santiago de Compostela, Santiago de (Ed) Compostela, Spain; A. Valli, Università di Geometry Revealed Trento, Povo (Trento), Italy (Eds) Transcending Tradition: Jewish Both classical geometry and modern Mathematicians in German Computational differential geometry have been active Electromagnetism subjects of research throughout the 20th Speaking Academic Culture century and lie at the heart of many recent A companion publication to the interna- Presenting topics that have not previously advances in mathematics and physics. The tional exhibition “Transcending Tradition: been contained in a single volume, this book underlying motivating concept for the Jewish Mathematicians in German-Speaking offers an up-to-date review of computational present book is that it offers readers the Academic Culture”, the catalogue explores methods in electromagnetism, with a focus elements of a modern geometric culture by the working lives and activities of Jewish on recent results in the numerical simulation means of a whole series of visually appealing mathematicians in German-speaking of real-life electromagnetic problems and on unsolved (or recently solved) problems countries during the period between theoretical results that are useful in devising that require the creation of concepts the legal and political emancipation of and analyzing approximation algorithms. [...] and tools of varying abstraction. [...] the Jews in the 19th century and their 2015. VII, 240 p. 37 illus., 21 illus. in color. 2010. XII, 860 p. 666 illus. Hardcover persecution in Nazi Germany. [...] (Lecture Notes in Mathematics, Volume 2148) € (D) 64,15 | € (A) 65,95 | *CHF 86.00 2012. XI, 289 p. Hardcover Softcover € 59,95 | £ 53,99 € (D) 39,58 | € (A) 40,69 | *CHF 41.00 € (D) 48,14 | € (A) 49,49 | *CHF 51.00 Yellow Sale Price € 36,99 | £ 27,99 € 44,99 | £ 40,99 € (D) 32,09 | € (A) 32,99 | *CHF 33.00 Yellow Sale Price Yellow Sale Price | € 29,99 £ 22,99 € (D) 18,18 | € (A) 18,69 | *CHF 19.00 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 978-3-540-70996-1 € 16,99 | £ 12,99 € 24,99 | £ 18,99 ,!7ID5E0-hajjgb! 978-3-642-22463-8 978-3-319-19305-2 ,!7ID6E2-ccegdi! ,!7ID3B9-bjdafc!

G. M. Bergman, University of California, N. Berline, Ecole Politechnique D. J. Bernstein, University of Illinois, Berkeley, Berkeley, CA, USA Palaiseau URA/CNRS D 0169, Palaiseau Chicago Dept. Computer Science, Chicago, CX, France; E. Getzler, Northwestern IL, USA; J. Buchmann, TU Darmstadt FB An Invitation to General Algebra University Dept. Mathematics, Evanston, IL, Informatik, Darmstadt, Germany; E. Dahmen, and Universal Constructions USA; M. Vergne, Ecole Polytechnique Centre TU Darmstadt FB Informatik, Darmstadt, de Mathématiques, Palaiseau Cedex, France Germany (Eds) Rich in examples and intuitive discussions, this book presents General Algebra using Heat Kernels and Dirac Operators Post-Quantum Cryptography the unifying viewpoint of categories and functors. Starting with a survey, in non-cat- The first edition of this book presented Quantum computers will break today’s most egory-theoretic terms, of many familiar and simple proofs of the Atiyah-Singer Index popular public-key cryptographic systems, not-so-familiar constructions in algebra Theorem for Dirac operators on compact including RSA, DSA, and ECDSA. This book (plus two from topology for perspective), Riemannian manifolds and its generaliza- introduces the reader to the next generation the reader is guided to an understanding tions (due to the authors and J.-M. Bismut), of cryptographic algorithms, the systems and appreciation of the general concepts using an explicit geometric construction that resist quantum-computer attacks: in and tools unifying these constructions. of the heat kernel of a generalized Dirac particular, post-quantum public-key encryp- Topics include: set theory, lattices, category operator; the new edition makes this tion systems and post-quantum public-key theory, the formulation of universal popular book available to students and signature systems. Leading experts have constructions in category-theoretic terms, researchers in an attractive softcover. [...] joined forces for the first time to explain the state of the art in quantum computing, varieties of algebras, and adjunctions. [...] 2004. IX, 363 p. (Grundlehren Text Editions) hash-based cryptography, code-based Softcover 2nd ed. 2015. X, 572 p. 90 illus. (Universitext) cryptography, lattice-based cryptography, Softcover € (D) 53,45 | € (A) 54,95 | *CHF 72.00 and multivariate cryptography. [...] € (D) 74,89 | € (A) 76,99 | *CHF 93.50 € 49,95 | £ 39,99 2009. X, 246 p. Hardcover € 69,99 | £ 49,99 Yellow Sale Price € (D) 85,59 | € (A) 87,99 | *CHF 90.50 ( ) | ( ) | Yellow Sale Price € D 26,74 € A 27,49 *CHF 27.50 € 79,99 | £ 72,00 € (D) 37,44 | € (A) 38,49 | *CHF 38.50 € 24,99 | £ 18,99 € 34,99 | £ 26,99 978-3-540-20062-8 Yellow Sale Price € (D) 42,79 | € (A) 43,99 | *CHF 44.00 978-3-319-11477-4 ,!7ID5E0-caagci! € 39,99 | £ 29,99 ,!7ID3B9-bbehhe! 978-3-540-88701-0 ,!7ID5E0-iihaba! 9 Yellow Sale 2017 springer.com | English Titles

C. Besse, Université Toulouse 3, Toulouse, N. H. Bingham, Imperial College London, R. Bix, University of Michigan at Flint Dept. France; J. Garreau, PhLAM, Université de Lille London, UK; J. M. Fry, University of East Mathematics, Flint, MI, USA 1, Villeneuve d’Ascq Cedex, France (Eds) London, London, UK Conics and Cubics Nonlinear Optical and Regression Atomic Systems Conics and Cubics is an accessible introduc- Regression is the branch of Statistics in tion to algebraic curves. Its focus on curves Focusing on the interface between which a dependent variable of interest is of degree at most three keeps results tangi- mathematics and physics, this book offers an modelled as a linear combination of one ble and proofs transparent. Theorems follow introduction to the physics, the mathematics, or more predictor variables, together with naturally from high school algebra and two and the numerical simulation of nonlinear a random error. The subject is inherently key ideas, homogeneous coordinates and systems in optics and atomic physics. [...] two- or higher- dimensional, thus an intersection multiplicities. By classifying understanding of Statistics in one dimension irreducible cubics over the real numbers 2015. XIII, 338 p. 46 illus., 41 illus. in color. is essential. Regression: Linear Models in and proving that their points form Abelian (Lecture Notes in Mathematics, Volume 2146) Statistics fills the gap between introductory groups, the book gives readers easy access Softcover statistical theory and more specialist sources to the study of elliptic curves. It includes a € (D) 74,89 | € (A) 76,99 | *CHF 79.00 of information. In doing so, it provides the simple proof of Bezout’s Theorem on the € 69,99 | £ 62,99 reader with a number of worked examples, number of intersections of two curves. The and exercises with full solutions. [...] book is a text for a one-semester course. [...] Yellow Sale Price € (D) 37,44 | € (A) 38,49 | *CHF 38.50 2010. XIII, 284 p. 50 illus. (Springer 2nd ed. 2006. VIII, 347 p. (Undergraduate € 34,99 | £ 26,99 Undergraduate Mathematics Series) Texts in Mathematics) Hardcover 978-3-319-19014-3 Softcover € (D) 53,45 | € (A) 54,95 | *CHF 77.50 € (D) 37,40 | € (A) 38,45 | *CHF 47.00 € 49,95 | £ 44,99 € 34,95 | £ 24,95 ,!7ID3B9-bjabed! Yellow Sale Price Yellow Sale Price € (D) 26,74 | € (A) 27,49 | *CHF 27.50 € (D) 18,18 | € (A) 18,69 | *CHF 19.00 € 24,99 | £ 18,99 € 16,99 | £ 12,99 978-0-387-31802-8 978-1-84882-968-8 ,!7IB8E8-icjgii! ,!7IA3I7-dbiaci!

G. Biau, Universite Pierre et Marie Curie, M. Biskup, University of California P. Blanchard, Universität Bielefeld Fak. Paris Cedex 05; L. Devroye, McGill University, in Los Angeles, Los Angeles, CA, Physik, Bielefeld, Germany; E. Brüning, Montreal, QC, Canada USA; J. Černý, University of Vienna, Vienna, University of KwaZulu-Natal, Durban, South Austria; R. Kotecký, University of Warwick, Africa Lectures on the Nearest Warwick, UK (Eds) Neighbor Method Mathematical Methods in Physics Random Walks, Random Fields, This text presents a wide-ranging and rigor- and Disordered Systems The second edition of this textbook ous overview of nearest neighbor methods, presents the basic mathematical knowledge one of the most important paradigms in Focusing on the mathematics that lies at the and skills that are needed for courses on machine learning. Now in one self-contained intersection of probability theory, statistical modern theoretical physics, such as those volume, this book systematically covers physics, combinatorics and computer on quantum mechanics, classical and key statistical, probabilistic, combinatorial science, this volume collects together quantum field theory, and related areas. The and geometric ideas for understanding, lecture notes on recent developments in authors stress that learning mathematical analyzing and developing nearest neighbor the area. The common ground of these physics is not a passive process and include methods. Gérard Biau is a professor at subjects is perhaps best described by the numerous detailed proofs, examples, and Université Pierre et Marie Curie (Paris). Luc three terms in the title: Random Walks, over 200 exercises, as well as hints linking Devroye is a professor at the School of Com- Random Fields and Disordered Systems. [...] mathematical concepts and results to the puter Science at McGill University (Montreal). relevant physical concepts and theories. [...] 2015. XIII, 239 p. 14 illus., 3 illus. in color. 2015. IX, 290 p. 4 illus. in color. (Springer (Lecture Notes in Mathematics, Volume 2144) 2nd ed. 2015. XXVII, 598 p. 4 illus. (Progress in Series in the Data Sciences) Hardcover Softcover Mathematical Physics, Volume 69) Hardcover € (D) 90,94 | € (A) 93,49 | *CHF 93.50 € (D) 48,14 | € (A) 49,49 | *CHF 51.00 € (D) 117,69 | € (A) 120,99 | *CHF 146.50 € 84,99 | £ 63,99 € 44,99 | £ 40,99 € 109,99 | £ 99,00 Yellow Sale Price Yellow Sale Price Yellow Sale Price € (D) 50,28 | € (A) 51,69 | *CHF 52.00 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 € (D) 64,19 | € (A) 65,99 | *CHF 66.00 € 46,99 | £ 34,99 € 24,99 | £ 18,99 € 59,99 | £ 44,99 978-3-319-25386-2 978-3-319-19338-0 978-3-319-14044-5 ,!7ID3B9-cfdigc! ,!7ID3B9-bjddia! ,!7ID3B9-beaeef!

10 springer.com | English Titles Yellow Sale 2017

F. Blanchini, University of Udine, Udine, E. D. Bloch, Bard College Dept. Mathematics, B. Bollobas, University of Memphis, Italy; S. Miani, University of Udine, Udine, Annandale, NY, USA Memphis, TN, USA Italy The Real Numbers Modern Graph Theory Set-Theoretic Methods in Control and Real Analysis The time has now come when graph The second edition of this monograph This text is a rigorous, detailed introduction theory should be part of the education of describes the set-theoretic approach for the to real analysis that presents the funda- every serious student of mathematics and control and analysis of dynamic systems, mentals with clear exposition and carefully computer science, both for its own sake and both from a theoretical and practical written definitions, theorems, and proofs. to enhance the appreciation of mathematics standpoint. This approach is linked to It is organized in a distinctive, flexible way as a whole. This book is an in-depth account fundamental control problems, such as that would make it equally appropriate to of graph theory, written with such a student Lyapunov stability analysis and stabilization, undergraduate mathematics majors who in mind; it reflects the current state of the optimal control, control under constraints, want to continue in mathematics, and to subject and emphasizes connections with persistent disturbance rejection, and future mathematics teachers who want to other branches of pure mathematics. [...] uncertain systems analysis and synthesis. [...] understand the theory behind calculus. [...] 1998. XIV, 394 p. 3 illus. (Graduate Texts in 2nd ed. 2015. XVI, 630 p. 169 illus., 18 illus. 2011. XXVIII, 554 p. Hardcover Mathematics, Volume 184) Softcover in color. (Systems & Control: Foundations & € (D) 69,50 | € (A) 71,45 | *CHF 93.50 € (D) 52,38 | € (A) 53,85 | *CHF 75.00 Applications) Hardcover € 64,95 | £ 58,99 € 48,95 | £ 43,99 € (D) 117,69 | € (A) 120,99 | *CHF 124.00 € 109,99 | £ 99,00 Yellow Sale Price Yellow Sale Price € (D) 37,44 | € (A) 38,49 | *CHF 38.50 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 Yellow Sale Price € 34,99 | £ 26,99 € 24,99 | £ 18,99 € (D) 64,19 | € (A) 65,99 | *CHF 66.00 978-0-387-72176-7 978-0-387-98488-9 € 59,99 | £ 44,99 978-3-319-17932-2 ,!7IA3I7-hcbhgh! ,!7IA3I7-jieiij! ,!7ID3B9-bhjdcc!

A.M. Bloch, University of Michigan Dept. S. Bodine, University of Puget Sound, A. Bondy, Université Lyon I LaPCS-Domaine Mathematics, Ann Arbor, MI, USA (Eds) Tacoma, WA, USA; D. A. Lutz, San Diego State de Gerland, Lyon CX, France; U.S.R. Murty, University, San Diego, CA, USA University of Waterloo Department of Pure Nonholonomic Mechanics Mathematics, Waterloo, ON, Canada and Control Asymptotic Integration of Differential and Graph Theory This book explores some of the connections Difference Equations between control theory and geometric 2008. XII, 655 p. (Graduate Texts in mechanics; that is, control theory is linked This book presents the theory of asymptotic Mathematics, Volume 244) Hardcover with a geometric view of classical mechanics integration for both linear differential and € (D) 58,80 | € (A) 60,45 | *CHF 79.00 in both its Lagrangian and Hamiltonian difference equations. This type of asymptotic € 54,95 | £ 46,00 formulations and in particular with the analysis is based on some fundamental Yellow Sale Price theory of mechanical systems subject to principles by Norman Levinson. While he € (D) 28,88 | € (A) 29,69 | *CHF 30.00 motion constraints. The synthesis of the applied them to a special class of differential € 26,99 | £ 19,99 topic is appropriate as there is a particularly equations, subsequent work has shown rich connection between mechanics that the same principles lead to asymptotic 978-1-84628-969-9 and nonlinear control theory. [...] results for much wider classes of differential 2nd ed. 2015. XXI, 565 p. 59 illus., 18 illus. in and also difference equations. [...] ,!7IB8E6-cijgjj! color. (Interdisciplinary Applied Mathematics, 2015. XI, 402 p. (Lecture Notes in Volume 24) Hardcover Mathematics, Volume 2129) Softcover € (D) 74,89 | € (A) 76,99 | *CHF 79.00 € (D) 74,89 | € (A) 76,99 | *CHF 79.00 € 69,99 | £ 62,99 € 69,99 | £ 62,99 Yellow Sale Price Yellow Sale Price € (D) 37,44 | € (A) 38,49 | *CHF 38.50 € (D) 37,44 | € (A) 38,49 | *CHF 38.50 € 34,99 | £ 26,99 € 34,99 | £ 26,99 978-1-4939-3016-6 978-3-319-18247-6 ,!7IB4J3-jdabgg! ,!7ID3B9-bicehg!

11 Yellow Sale 2017 springer.com | English Titles

J. Bonnans, Ecole Polytechnique S. Bosch, Westfälische Wilhelms-Universität N. Bourbaki, Ecole normale supérieure, Paris INRIA-Saclay ile de France et, Palaiseau, Mathematisches Institut, Münster, Germany Cedex 05, France France; J. C. Gilbert, INRIA Domaine de Voluceau-Rocquencourt, Le Chesnay CX, Lectures on Formal and General Topology. Chapters 1–4 France; C. Lemarechal, INRIA Rhône-Alpes, Rigid Geometry This is the softcover reprint of the English St. Ismier CX, France; C. A. Sagastizábal, translation of 1971 (available from Springer Instituto de Matemática Pura e Aplicada The aim of this work is to offer a concise and since 1989) of the first 4 chapters of (IMPA), Rio de Janeiro, Brazil self-contained ‘lecture-style’ introduction to the theory of classical rigid geometry Bourbaki’s Topologie générale. It gives Numerical Optimization established by John Tate, together with all the basics of the subject, starting from the formal algebraic geometry approach definitions. Important classes of topological Just as in its 1st edition, this book starts launched by Michel Raynaud. These spaces are studied, uniform structures are with illustrations of the ubiquitous Lectures are now viewed commonly as an introduced and applied to topological character of optimization, and describes ideal means of learning advanced rigid groups. Real numbers are constructed numerical algorithms in a tutorial way. geometry, regardless of the reader’s level and their properties established. Part II, It covers fundamental algorithms as of background. Despite its parsimonious comprising the later chapters, Ch. 5-10, well as more specialized and advanced style, the presentation illustrates a is also available in English in softcover. topics for unconstrained and constrained number of key facts even more extensively 1995. VII, 437 p. 1 illus. (Elements of problems. Most of the algorithms are than any other previous work. [...] Mathematics) Softcover explained in a detailed manner, allowing straightforward implementation. [...] 2014. VIII, 254 p. (Lecture Notes in € (D) 53,45 | € (A) 54,95 | *CHF 72.00 Mathematics, Volume 2105) Softcover € 49,95 | £ 39,99 2nd ed. 2006. XIV, 494 p. (Universitext) € (D) 48,14 | € (A) 49,49 | *CHF 60.00 Softcover Yellow Sale Price € 44,99 | £ 40,99 ( ) | ( ) | € (D) 53,45 | € (A) 54,95 | *CHF 77.50 € D 26,74 € A 27,49 *CHF 27.50 | € 49,95 | £ 44,99 Yellow Sale Price € 24,99 £ 18,99 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 978-3-540-64241-1 Yellow Sale Price € 24,99 | £ 18,99 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 978-3-319-04416-3 € 24,99 | £ 18,99 ,!7ID5E0-gecebb! 978-3-540-35445-1 ,!7ID3B9-aeebgd! ,!7ID5E0-dfeefb!

S. Bosch, Westfälische Wilhelms-Universität N. Bouleau, Université Paris-Est L’École N. Bourbaki, Ecole normale supérieure, Paris Mathematisches Institut, Münster, Germany des Ponts ParisTech, Marne la Vallée, Cedex 05, France France; L. Denis, Université du Maine, Le Algebraic Geometry and Mans, France General Topology. Chapters 5–10 Commutative Algebra Dirichlet Forms Methods 1989. IV, 363 p. (Elements of Mathematics) Algebraic geometry is a fascinating branch for Poisson Point Measures Softcover of mathematics that combines methods and Lévy Processes € (D) 53,45 | € (A) 54,95 | *CHF 72.00 from both, algebra and geometry. It tran- € 49,95 | £ 39,99 scends the limited scope of pure algebra by A simplified approach to Malliavin calculus means of geometric construction principles. adapted to Poisson random measures Yellow Sale Price ( ) | ( ) | Moreover, Grothendieck’s schemes invented is developed and applied in this book. € D 26,74 € A 27,49 *CHF 27.50 | in the late 1950s allowed the application Called the “lent particle method” it is € 24,99 £ 18,99 of algebraic-geometric methods in fields based on perturbation of the position 978-3-540-64563-4 that formerly seemed to be far away from of particles. Poisson random measures geometry, like algebraic number theory. The describe phenomena involving random ,!7ID5E0-gefgde! new techniques paved the way to spectac- jumps (for instance in mathematical ular progress such as the proof of Fermat’s finance) or the random distribution of Last Theorem by Wiles and Taylor. [...] particles (as in statistical physics). [...] 2013. X, 504 p. (Universitext) Softcover 2015. XVIII, 323 p. 3 illus. in color. (Probability € (D) 74,85 | € (A) 76,95 | *CHF 93.50 Theory and Stochastic Modelling, Volume 76) € 69,95 | £ 49,99 Hardcover Yellow Sale Price € (D) 90,94 | € (A) 93,49 | *CHF 93.50 € 84,99 | £ 63,99 € (D) 37,44 | € (A) 38,49 | *CHF 38.50 € 34,99 | £ 26,99 Yellow Sale Price 978-1-4471-4828-9 € (D) 50,28 | € (A) 51,69 | *CHF 52.00 € 46,99 | £ 34,99 ,!7IB4E7-beicij! 978-3-319-25818-8 ,!7ID3B9-cfibii!

12 springer.com | English Titles Yellow Sale 2017

A. Bovier, Rheinische Friedrich- F. Brauer, University of British Columbia D. M. Bressoud Wilhelms Universität Bonn ,Bonn, Dept. Mathematics, Vancouver, BC, Germany; F. den Hollander, Universiteit Canada; C. Castillo-Chavez, Arizona State Second Year Calculus Leiden Mathematisch Instituut, Leiden, The University Dept. Mathematics & Statistics, Second Year Calculus: From Celestial Netherlands Tempe, AZ, USA Mechanics to Special Relativity covers Metastability Mathematical Models multi-variable and vector calculus, empha- in Population Biology sizing the historical physical problems which This monograph provides a concise gave rise to the concepts of calculus. [...] presentation of a mathematical approach and Epidemiology 1991. 404 p. (Undergraduate Texts in to metastability, a wide-spread phe- This textbook provides an introduction to Mathematics) Softcover nomenon in the dynamics of non-linear the field of mathematical biology through systems - physical, chemical, biological € (D) 59,87 | € (A) 61,55 | *CHF 86.50 the integration of classical applications in € 55,95 | £ 50,99 or economic - subject to the action of ecology with more recent applications to temporal random forces typically referred epidemiology, particularly in the context Yellow Sale Price to as noise, based on potential theory of spread of infectious diseases. [...] € (D) 28,88 | € (A) 29,69 | *CHF 30.00 of reversible Markov processes. [...] € 26,99 | £ 19,99 2nd ed. 2012. XXIV, 508 p. (Texts in Applied 2015. XXI, 581 p. 96 illus., 82 illus. in color. Mathematics, Volume 40) Hardcover 978-0-387-97606-8 (Grundlehren der mathematischen Wissenschaften, Volume 351) Hardcover € (D) 71,68 | € (A) 73,69 | *CHF 75.50 € 66,99 | £ 60,99 ,!7IA3I7-jhgagi! € (D) 117,69 | € (A) 120,99 | *CHF 124.00 € 109,99 | £ 99,00 Yellow Sale Price € (D) 37,44 | € (A) 38,49 | *CHF 38.50 Yellow Sale Price € 34,99 | £ 26,99 € (D) 64,19 | € (A) 65,99 | *CHF 66.00 € 59,99 | £ 44,99 978-1-4614-1685-2 978-3-319-24775-5 ,!7IB4G1-ebgifc! ,!7ID3B9-cehhff!

R. E. Bradley, Adelphi University, Garden S. Brenner, Louisiana State University H. Brezis, Rutgers University, Piscataway, NJ, City, NY, USA; S. J. Petrilli, Adelphi University, Dept. Mathematics &, Baton Rouge, LA, USA Garden City, NY, USA; C. E. Sandifer, USA; R. Scott, University of Chicago Dept. Newtown, CT, USA Mathematics, Chicago, IL, USA Functional Analysis, Sobolev Spaces and Partial L’Hôpital’s Analyse des The Mathematical Theory of Differential Equations infiniments petits Finite Element Methods This textbook is a completely revised, This monograph is an annotated translation Mathematics is playing an ever more updated, and expanded English edition of of what is considered to be the world’s first important role in the physical and the important Analyse fonctionnelle (1983). calculus textbook, originally published in biological sciences, provoking a blurring In addition, it contains a wealth of problems French in 1696. That anonymously published of boundaries between c disciplines and and exercises (with solutions) to guide the textbook on differential calculus was based a resurgence of interest in the modern as reader. Uniquely, this book presents in a on lectures given to the Marquis de l’Hôpital well as the cl- sical techniques of applied coherent, concise and unified way the main in 1691-2 by the great Swiss mathematician, mathematics. This renewal of interest, results from functional analysis together Johann Bernoulli. In the 1920s, a copy of both in research and teaching, has led with the main results from the theory of par- Bernoulli’s lecture notes was discovered to the establishment of the series Texts tial differential equations (PDEs). Although in a library in Basel, which presented the in Applied Mathematics (TAM). [...] there are many books on functional analysis opportunity to compare Bernoulli’s notes, 3rd ed. 2008. XVIII, 400 p. (Texts in Applied and many on PDEs, this is the first to cover in Latin, to l’Hôpital’s text in French. [...] Mathematics, Volume 15) Hardcover both of these closely connected topics. [...] 2015. LIV, 311 p. 244 illus., 9 illus. in color. € (D) 64,15 | € (A) 65,95 | *CHF 92.00 2011. XIV, 600 p. 9 illus. (Universitext) (Science Networks. Historical Studies, € 59,95 | £ 53,99 Softcover Volume 50) Hardcover € (D) 69,50 | € (A) 71,45 | *CHF 93.50 € (D) 128,39 | € (A) 131,99 | *CHF 160.00 Yellow Sale Price ( ) | ( ) | € 64,95 | £ 49,99 € 119,99 | £ 108,00 € D 32,09 € A 32,99 *CHF 33.00 € 29,99 | £ 22,99 Yellow Sale Price Yellow Sale Price 978-0-387-75933-3 € (D) 37,44 | € (A) 38,49 | *CHF 38.50 € (D) 69,54 | € (A) 71,49 | *CHF 71.50 € 34,99 | £ 26,99 € 64,99 | £ 48,99 ,!7IA3I7-hfjddd! 978-0-387-70913-0 978-3-319-17114-2 ,!7ID3B9-bhbbec! ,!7IA3I7-hajbda! 13 Yellow Sale 2017 springer.com | English Titles

D. Brigo, Fitch Ratings DerivativeFitch, J. Buchmann, TU Darmstadt FB Informatik, R. Bulajich Manfrino, Universidad Autónoma London, UK; F. Mercurio, Banca IMI San Darmstadt, Germany del Estado de Morelos, Cuernavaca, Paolo IMI Group, Milano, Italy Mexico; J. A. Gómez Ortega, Universidad Introduction to Cryptography Nacional Autónoma de México, México, Interest Rate Models - Mexico; R. Valdez Delgado, Universidad Cryptography is a key technology in Theory and Practice Autónoma del Estado de Morelos, electronic key systems. It is used to keep Cuernavaca, Mexico The 2nd edition of this successful book data secret, digitally sign documents, access has several new features. The calibration control, and so forth. Users therefore should Topics in Algebra and Analysis discussion of the basic LIBOR market not only know how its techniques work, model has been enriched considerably, but they must also be able to estimate their The techniques presented here are useful for with an analysis of the impact of the efficiency and security. Based on courses solving mathematical contest problems in swaptions interpolation technique and of taught by the author, this book explains the algebra and analysis. Most of the examples the exogenous instantaneous correlation basic methods of modern cryptography. It and exercises that appear in the book on the calibration outputs. A discussion of is written for readers with only basic math- originate from mathematical Olympiad historical estimation of the instantaneous ematical knowledge who are interested in competitions around the world. In the first correlation matrix and of rank reduction modern cryptographic algorithms and their four chapters the authors cover material has been added, and a LIBOR-model mathematical foundation. Several exercises for competitions at high school level. The consistent swaption-volatility interpolation are included following each chapter. [...] level advances with the chapters. [...] technique has been introduced. [...] 2nd ed. 2004. XVI, 338 p. (Undergraduate 2015. IX, 311 p. 40 illus., 1 illus. in 2nd ed. 2006. LVI, 982 p. (Springer Finance) Texts in Mathematics) Softcover color. (Wissenschaftsprogramm nur Hardcover € (D) 53,49 | € (A) 54,99 | *CHF 58.50 englisch(Birkhäuser)) Softcover € (D) 85,55 | € (A) 87,95 | *CHF 115.00 € 49,99 | £ 46,99 € (D) 48,14 | € (A) 49,49 | *CHF 60.00 € 44,99 | £ 40,99 € 79,95 | £ 62,99 Yellow Sale Price Yellow Sale Price € (D) 26,74 | € (A) 27,49 | *CHF 27.50 Yellow Sale Price € (D) 42,79 | € (A) 43,99 | *CHF 44.00 € 24,99 | £ 18,99 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 € 39,99 | £ 29,99 978-0-387-20756-8 € 24,99 | £ 18,99 978-3-540-22149-4 ,!7IA3I7-cahfgi! 978-3-319-11945-8 ,!7ID5E0-ccbeje! ,!7ID3B9-bbjefi!

J.H. Bruinier et al., G. van der Geer, et al. H. Bühlmann, ETH Zurich Risklab, P. Bussotti, University of Udine , Udine Switzerland, Zurich, Switzerland; A. Gisler, The 1-2-3 of Modular Forms Winterthur Versicherungen, Winterthur, The Complex Itinerary of Switzerland Leibniz’s Planetary Theory 2008. X, 266 p. 2 illus. (Universitext) Softcover € (D) 53,45 | € (A) 54,95 | *CHF 72.00 A Course in Credibility Theory This book presents new insights into € 49,95 | £ 44,99 and its Applications Leibniz’s research on planetary theory and his system of pre-established harmony. Yellow Sale Price The topic of credibility theory has been Although some aspects of this theory have € (D) 26,74 | € (A) 27,49 | *CHF 27.50 for many years — and still is — one of our been explored in the literature, others € 24,99 | £ 18,99 major interests. This interest has led us not are less well known. In particular, the 978-3-540 -74117- 6 only to many publications, but also has book offers new contributions on the been the motivation for teaching many connection between the planetary ,!7ID5E0-hebbhg! courses on this topic over more than 20 theory and the theory of gravitation. It years. These courses have undergone also provides an in-depth discussion of considerable changes over time. What we Kepler’s influence on Leibniz’s planetary present here, “A Course in Credibility Theory theory and more generally, on Leibniz’s and its Applications”, is the nal product of concept of pre-established harmony. [...] this evolution. Credibility theory can be 2015. X, 188 p. (Science Networks. Historical seen as the basic paradigm underlying Studies, Volume 52) Hardcover the pricing of insurance products. [...] € (D) 106,99 | € (A) 109,99 | *CHF 113.00 2005. XVIII, 338 p. 31 illus., 22 illus. in color. € 99,99 | £ 90,00 (Universitext) Softcover € (D) 53,45 | € (A) 54,95 | *CHF 77.50 Yellow Sale Price ( ) | ( ) | € 49,95 | £ 44,99 € D 58,84 € A 60,49 *CHF 60.50 € 54,99 | £ 40,99 Yellow Sale Price 978-3-319-21235-7 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 € 24,99 | £ 18,99 ,!7ID3B9-cbcdfh! 978-3-540-25753-0 ,!7ID5E0-cfhfda! 14 springer.com | English Titles Yellow Sale 2017

A. Cabada, Universidade de Santiago de E. L. Cano, Rey Juan Carlos University, M. Capinski; P. E. Kopp Compostela Departamento de Análise Madrid, Spain; J. Martinez Moguerza, Matemática, Santiago de Compostela, Rey Juan Carlos University, Madrid, Measure, Integral and Probability Spain; F. A. F. Tojo, Universidade de Santiago Spain; M. Prieto, ENUSA Industrias Measure, Integral and Probability is a de Compostela Departamento de Análise Avanzadas, Madrid, Spain gentle introduction that makes measure Matemática, Santiago de Compostela Quality Control with R and integration theory accessible to the Differential Equations average third-year undergraduate student. with Involutions Presenting a practitioner’s guide to capa- The ideas are developed at an easy pace in bilities and best practices of quality control a form that is suitable for self-study, with This monograph covers the existing results systems using the R programming language, an emphasis on clear explanations and regarding Green’s functions for differential this volume emphasizes accessibility and concrete examples rather than abstract equations with involutions (DEI).The first part ease-of-use through detailed explanations theory. For this second edition, the text has of the book is devoted to the study of the of R code as well as standard statistical meth- been thoroughly revised and expanded. [...] odologies. In the interest of reaching the most useful aspects of involutions from an 2nd ed. 2004. XV, 311 p. 3 illus. (Springer widest possible audience of quality-control analytical point of view and the associated Undergraduate Mathematics Series) professionals and statisticians, examples algebras of differential operators. [...] Softcover throughout are structured to simplify 2015. XIV, 154 p. 6 illus., 1 illus. in color. complex equations and data structures, and € (D) 37,40 | € (A) 38,45 | *CHF 47.00 (Atlantis Briefs in Differential Equations, to demonstrate their applications to quality € 34,95 | £ 24,95 Volume 2) Softcover control processes, such as ISO standards. [...] Yellow Sale Price € (D) 53,49 | € (A) 54,99 | *CHF 55.00 2015. XXVIII, 349 p. 126 illus., 64 illus. in color. € (D) 18,18 | € (A) 18,69 | *CHF 19.00 € 49,99 | £ 37,99 (Use R!) Softcover € 16,99 | £ 12,99 Yellow Sale Price € (D) 58,84 | € (A) 60,49 | *CHF 60.50 978-1-85233-781-0 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 € 54,99 | £ 40,99 € 24,99 | £ 18,99 Yellow Sale Price ,!7IB8F2-ddhiba! 978-94-6239-120-8 € (D) 32,09 | € (A) 32,99 | *CHF 33.00 € 29,99 | £ 22,99 ,!7IJ4G2-djbcai! 978-3-319-24044-2 ,!7ID3B9-ceaeec!

P. Cannarsa, Università degli Studi di Roma V. Capasso, Università degli Studi di Milano, V. Capraro, CWI, Amsterdam, The “Tor Vergata”, Roma, Italy; T. D’Aprile, Milan, Italy; D. Bakstein, Università degli Netherlands; M. Lupini, California Institute of Università degli Studi di Roma “Tor Vergata”, Studi di Milano, Milan, Italy Technology, Pasadena, CA, USA Roma, Italy An Introduction to Continuous- Introduction to Sofic and Introduction to Measure Theory Time Stochastic Processes Hyperlinear Groups and Connes’ and Functional Analysis Embedding Conjecture This textbook, now in its third edition, offers This book introduces readers to theories that a rigorous and self-contained introduction This monograph presents some cornerstone play a crucial role in modern mathematics, to the theory of continuous-time stochastic results in the study of sofic and hyperlinear such as integration and functional analysis, processes, stochastic integrals, and stochas- groups and the closely related Connes’ employing a unifying approach that views tic differential equations. Expertly balancing embedding conjecture. These notions, these two subjects as being deeply theory and applications, the work features as well as the proofs of many results, are intertwined. This feature is particularly concrete examples of modeling real-world presented in the framework of model theory evident in the broad range of problems problems from biology, medicine, industrial for metric structures. This point of view, examined, the solutions of which are applications, finance, and insurance using rarely explicitly adopted in the literature, often supported by generous hints. If the stochastic methods. No previous knowledge clarifies the ideas therein, and provides material is split into two courses, it can be of stochastic processes is required. [...] additional tools to attack open problems. [...] supplemented by additional topics from the 3rd ed. 2015. XVI, 482 p. 14 illus. (Modeling third part of the book, such as functions of 2015. VIII, 151 p. With an appendix and Simulation in Science, Engineering and bounded variation, absolutely continuous by Vladimir Pestov. (Lecture Notes in Technology) Hardcover functions, and signed measures. [...] Mathematics, Volume 2136) Softcover € (D) 101,64 | € (A) 104,49 | *CHF 108.00 € (D) 37,44 | € (A) 38,49 | *CHF 39.50 2015. XIV, 314 p. 8 illus., 1 illus. in color. € 94,99 | £ 86,50 € 34,99 | £ 31,99 (UNITEXT, Volume 89) Softcover € (D) 64,19 | € (A) 65,99 | *CHF 68.00 Yellow Sale Price Yellow Sale Price ( ) | ( ) | € 59,99 | £ 53,99 € D 58,84 € A 60,49 *CHF 60.50 € (D) 18,18 | € (A) 18,69 | *CHF 19.00 € 54,99 | £ 40,99 € 16,99 | £ 12,99 Yellow Sale Price 978-1-4939-2756-2 978-3-319-19332-8 € (D) 32,09 | € (A) 32,99 | *CHF 33.00 € 29,99 | £ 22,99 ,!7IB4J3-jchfgc! 978-3-319-17018-3 ,!7ID3B9-bjddci! ,!7ID3B9-bhabid! 15 Yellow Sale 2017 springer.com | English Titles

F. Cardin, Dipartimento di Matematica, A. N. Carvalho, Instituto de Ciências J. Chambers, Stanford University Dept. Padova, Italy Matemáticas e de Computação, São Carlos, Statistics, Stanford, CA, USA Brazil; B. Ruf, Università degli Studi di Milano, Elementary Symplectic Lombardia, Italy; E. Moreira dos Santos, Software for Data Analysis Topology and Mechanics Instituto de Ciências Matemáticas John Chambers has been the principal e de Computação, São Carlos, designer of the S language since its This is a short tract on the essentials of Brazil; S. H. M. Soares, Instituto de Ciências beginning, and in 1999 received the ACM differential and symplectic geometry Matemáticas e de Computação, São Carlos, System Software award for S, the only together with a basic introduction to Brazil; T. Cazenave, Laboratoire Jacques- statistical software to receive this award. He several applications of this rich framework: Louis Lions, Paris, France (Eds) analytical mechanics, the calculus of is author or coauthor of the landmark books variations, conjugate points & Morse Contributions to Nonlinear on S. Now he turns to R, the enormously index, and other physical topics. A central Elliptic Equations and Systems successful open-source system based on the feature is the systematic utilization of S language. R’s international support and the Lagrangian submanifolds and their This volume of contributions pays tribute to thousands of packages and other contribu- Maslov-Hörmander generating functions. [...] the life and work of Djairo Guedes de Figue- tions have made it the standard for statistical iredo on the occasion of his 80th birthday. [...] computing in research and teaching. [...] 2015. XVII, 222 p. 44 illus., 11 illus. in color. (Lecture Notes of the Unione Matematica 2015. XIV, 438 p. 16 illus., 6 illus. in color. 2008. XIV, 500 p. (Statistics and Computing) Italiana, Volume 16) Softcover (Progress in Nonlinear Differential Equations Hardcover € (D) 42,79 | € (A) 43,99 | *CHF 53.50 and Their Applications, Volume 86) € (D) 139,09 | € (A) 142,99 | *CHF 143.00 € 39,99 | £ 35,99 Hardcover € 129,99 | £ 97,00 € (D) 128,39 | € (A) 131,99 | *CHF 135.50 Yellow Sale Price Yellow Sale Price € 119,99 | £ 108,00 € (D) 21,39 | € (A) 21,99 | *CHF 22.00 € (D) 69,54 | € (A) 71,49 | *CHF 71.50 € 19,99 | £ 14,99 Yellow Sale Price € 64,99 | £ 48,99 978-3-319-11025-7 € (D) 69,54 | € (A) 71,49 | *CHF 71.50 978-0-387-75935-7 € 64,99 | £ 48,99 ,!7ID3B9-bbacfh! 978-3-319-19901-6 ,!7IA3I7-hfjdfh! ,!7ID3B9-bjjabg!

P. Carpentier, ENSTA ParisTech, Palaiseau, T. E. Cecil, College of the Holy Cross, V. Chapela, Suggestic Inc., Palo Alto, CA, France; J. Chancelier, École Nationale des Worcester, MA, USA; P. J. Ryan, McMaster USA; R. Criado, Universidad Rey Juan Ponts et Chaussées ParisTech, Marne la University, Hamilton, ON, Canada Carlos, Móstoles, Spain; S. Moral, BBVA, Vallée, France; G. Cohen, École Nationale Ronda de Valdecarrizo 21, Tres Cantos, des Ponts et Chaussées ParisTech, Marne la Geometry of Hypersurfaces Spain; M. Romance, Universidad Rey Juan Vallée, France; M. De Lara, École Nationale Carlos, Móstoles, Spain This exposition provides the state-of-the des Ponts et Chaussées ParisTech, Marne la art on the differential geometry of Vallée, France Intentional Risk Management hypersurfaces in real, complex, and through Complex Stochastic Multi-Stage quaternionic space forms. Special emphasis Networks Analysis Optimization is placed on isoparametric and Dupin hypersurfaces in real space forms as well This book combines game theory and The focus of the present volume is stochastic as Hopf hypersurfaces in complex space complex networks to examine intentional optimization of dynamical systems in forms. The book is accessible to a reader technological risk through modeling. As discrete time where - by concentrating who has completed a one-year graduate information security risks are in constant on the role of information regarding course in differential geometry. The evolution, the methodologies and optimization problems - it discusses the text, including open problems and an tools to manage them must evolve to related discretization issues. There is extensive list of references, is an excellent an ever-changing environment. [...] a growing need to tackle uncertainty resource for researchers in this area. [...] in applications of optimization. [...] 2015. XV, 126 p. 34 illus. in color. 2015. XI, 596 p. 23 illus. (Springer (SpringerBriefs in Optimization) Softcover 2015. XVII, 362 p. 45 illus., 14 illus. in Monographs in Mathematics) Hardcover € (D) 53,49 | € (A) 54,99 | *CHF 55.00 color. (Probability Theory and Stochastic € (D) 117,69 | € (A) 120,99 | *CHF 121.00 € 49,99 | £ 37,99 Modelling, Volume 75) Hardcover € 109,99 | £ 82,00 € (D) 101,64 | € (A) 104,49 | *CHF 107.00 Yellow Sale Price Yellow Sale Price € (D) 26,74 | € (A) 27,49 | *CHF 27.50 € 94,99 | £ 85,50 | | € (D) 64,19 € (A) 65,99 *CHF 66.00 € 24,99 | £ 18,99 Yellow Sale Price € 59,99 | £ 44,99 978-3-319-26421-9 € (D) 58,84 | € (A) 60,49 | *CHF 60.50 978-1-4939-3245-0 € 54,99 | £ 40,99 ,!7ID3B9-cgecbj! 978-3-319-18137-0 ,!7IB4J3-jdcefa! ,!7ID3B9-bibdha! 16 springer.com | English Titles Yellow Sale 2017

G. S. Chirikjian, The Johns Hopkins N. Chriss, University of Chicago H. Cohen, Université Bordeaux I Dépt. University Department of Mechanical Mathematical Finance Program, Chicago, Informatique, Talence CX, France Engineering, Baltimore, MD, USA IL, USA; v. ginzburg, University of Chicago Dept. Mathematics, Chicago, IL, USA Number Theory Stochastic Models, Information Theory, and Representation Theory Volume I: Tools and Lie Groups, Volume 1 and Complex Geometry Diophantine Equations

2009. XXII, 383 p. 13 illus. (Applied and 2010. X, 495 p. 5 illus. (Modern Birkhäuser 2007. XXIII, 650 p. (Graduate Texts in Numerical Harmonic Analysis) Hardcover Classics) Softcover Mathematics, Volume 239) Hardcover € (D) 53,49 | € (A) 54,99 | *CHF 58.50 € (D) 85,59 | € (A) 87,99 | *CHF 91.00 € (D) 53,45 | € (A) 54,95 | *CHF 77.50 € 49,99 | £ 46,99 € 79,99 | £ 73,00 € 49,95 | £ 44,99 Yellow Sale Price Yellow Sale Price Yellow Sale Price ( ) | ( ) | € (D) 26,74 | € (A) 27,49 | *CHF 27.50 € (D) 42,79 | € (A) 43,99 | *CHF 44.00 € D 26,74 € A 27,49 *CHF 27.50 | € 24,99 | £ 18,99 € 39,99 | £ 29,99 € 24,99 £ 18,99 978-0-8176-4802-2 978-0-8176-4937-1 978-0-387-49922-2 ,!7IA8B7-geiacc! ,!7IA8B7-gejdhb! ,!7IA3I7-ejjccc!

G. S. Chirikjian, The Johns Hopkins O. Christensen, Technical University of H. Cohen, Université Bordeaux I Dépt. University Department of Mechanical Denmark Department of Mathematics, Informatique, Talence CX, France Engineering, Baltimore, MD, USA Lyngby, Denmark Number Theory Stochastic Models, Functions, Spaces, Volume II: Analytic and Modern Tools Information Theory, and and Expansions Lie Groups, Volume 2 2007. XXIII, 596 p. (Graduate Texts in 2010. XIX, 266 p. 9 illus. (Applied and Mathematics, Volume 240) Hardcover The subjects of stochastic processes, infor- Numerical Harmonic Analysis) Hardcover € (D) 53,45 | € (A) 54,95 | *CHF 77.50 mation theory, and Lie groups are usually € (D) 48,14 | € (A) 49,49 | *CHF 50.50 € 49,95 | £ 44,99 treated separately from each other. This € 44,99 | £ 40,99 unique two-volume set presents these topics Yellow Sale Price ( ) | ( ) | in a unified setting, thereby building bridges Yellow Sale Price € D 26,74 € A 27,49 *CHF 27.50 | between fields that are rarely studied by € (D) 26,74 | € (A) 27,49 | *CHF 27.50 € 24,99 £ 18,99 the same people. Unlike the many excellent € 24,99 | £ 18,99 978-0-387-49893-5 formal treatments available for each of these 978-0-8176-4979-1 subjects individually, the emphasis in both ,!7IA3I7-ejijdf! of these volumes is on the use of stochastic, ,!7IA8B7-gejhjb! geometric, and group-theoretic concepts in the modeling of physical phenomena. [...] 2012. XXVII, 435 p. (Applied and Numerical Harmonic Analysis) Hardcover € (D) 64,19 | € (A) 65,99 | *CHF 67.00 € 59,99 | £ 53,99 Yellow Sale Price € (D) 32,09 | € (A) 32,99 | *CHF 33.00 € 29,99 | £ 22,99 978-0-8176-4943-2 ,!7IA8B7-gejedc!

17 Yellow Sale 2017 springer.com | English Titles

S. N. Cohen, University of Oxford D. Colton, University of Delaware Dept. J. H. Conway, ; R. Guy, University of Calgary Mathematical Institute, Oxford; R. J. Elliott, Mathematical Science, Newark, DE, Dept. Mathematics & Statistics, Calgary, AB, University of Adelaide, Adelaide, Australia USA; R. Kress, Georg-August-Universität Canada Göttingen Institut fuer Numerische und Stochastic Calculus Angewandte, Göttingen, Germany The Book of Numbers and Applications Inverse Acoustic and Journey through the world of numbers Completely revised and greatly expanded, Electromagnetic with the foremost authorities and writers in the new edition of this text takes readers Scattering Theory the field. John Horton Conway and Richard who have been exposed to only basic K. Guy are two of the most accomplished, courses in analysis through the modern The inverse scattering problem is central creative, and engaging number theorists general theory of random processes to many areas of science and technology any mathematically minded reader could and stochastic integrals as used by such as radar and sonar, medical imaging, hope to encounter. In this book, Conway systems theorists, electronic engineers geophysical exploration and nondestructive and Guy lead the reader on an imaginative, and, more recently, those working in testing. This book is devoted to the often astonishing tour of the landscape quantitative and mathematical finance. mathematical and numerical analysis of of numbers. The Book of Numbers is Building upon the original release of this the inverse scattering problem for acoustic just that - an engagingly written, heavily title, this text will be of great interest to and electromagnetic waves. [...] illustrated introduction to the fascinating, research mathematicians and graduate sometimes surprising properties of students working in those fields, as well 3rd ed. 2013. XIV, 406 p. (Applied numbers and number patterns. [...] as quants in the finance industry. [...] Mathematical Sciences, Volume 93) Hardcover 1996. IX, 310 p. (Copernicus) Hardcover 2nd ed. 2015. XXIII, 666 p. (Probability and Its € (D) 139,09 | € (A) 142,99 | *CHF 143.00 € (D) 32,05 | € (A) 32,95 | *CHF 46.50 Applications) Hardcover € 129,99 | £ 97,00 € 29,95 | £ 21,99 € (D) 74,89 | € (A) 76,99 | *CHF 79.00 Yellow Sale Price Yellow Sale Price € 69,99 | £ 62,99 | | € (D) 69,54 | € (A) 71,49 | *CHF 71.50 € (D) 16,04 € (A) 16,49 *CHF 16.50 | Yellow Sale Price € 64,99 | £ 48,99 € 14,99 £ 11,99 € (D) 37,44 | € (A) 38,49 | *CHF 38.50 978-1-4614-4941-6 978-0-387-97993-9 € 34,99 | £ 26,99 978-1-4939-2866-8 ,!7IB4G1-eejebg! ,!7IA3I7-jhjjdj! ,!7IB4J3-jciggi!

R. Coleman, Laboratoire Jean Kuntzmann L. Conlon, Washington University Dept. M. Coornaert, University of Strasbourg, Campus de Saint-Martin-d’Héres, Grenoble, Mathematics, St. Louis, MO, USA Strasbourg, France France Differentiable Manifolds Topological Dimension Calculus on Normed and Dynamical Systems Vector Spaces The basics of differentiable manifolds, global calculus, differential geometry, and related Translated from the popular French This book serves as an introduction to topics constitute a core of information edition, the goal of the book is to provide calculus on normed vector spaces at a higher essential for the first or second year graduate a self-contained introduction to mean undergraduate or beginning graduate level. student preparing for advanced courses topological dimension, an invariant of The prerequisites include basic calculus and and seminars in differential topology and dynamical systems introduced in 1999 by linear algebra, as well as a certain mathe- geometry. Differentiable Manifolds is a text Misha Gromov. The book examines how matical maturity. All the important topology designed to cover this material in a careful this invariant was successfully used by Elon and functional analysis topics are introduced and sufficiently detailed manner, presup- Lindenstrauss and Benjamin Weiss to answer where necessary. In its attempt to show how posing only a good foundation in general a long-standing open question about calculus on normed vector spaces extends topology, calculus, and modern algebra. [...] embeddings of minimal dynamical systems the basic calculus of functions of several vari- 2nd ed. 2001. XIV, 418 p. (Modern Birkhäuser into shifts. A large number of revisions and ables, this book is one of the few textbooks Classics) Softcover additions have been made to the original to bridge the gap between the available text. Chapter 5 contains an entirely new elementary texts and high level texts. [...] € (D) 42,79 | € (A) 43,99 | *CHF 42.00 section devoted to the Sorgenfrey line. [...] € 39,99 | £ 33,99 2012. XI, 249 p. (Universitext) Softcover 2015. XV, 233 p. 13 illus., 1 illus. in color. Yellow Sale Price € (D) 53,45 | € (A) 54,95 | *CHF 66.50 (Universitext) Softcover € (D) 21,39 | € (A) 21,99 | *CHF 22.00 € 49,95 | £ 44,99 € (D) 53,49 | € (A) 54,99 | *CHF 56.50 € 19,99 | £ 14,99 € 49,99 | £ 29,99 Yellow Sale Price 978-0-8176-4766-7 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 Yellow Sale Price € 24,99 | £ 18,99 ,!7IA8B7-gehggh! € (D) 26,74 | € (A) 27,49 | *CHF 27.50 978-1-4614-3893-9 € 24,99 | £ 18,99 978-3-319-19793-7 ,!7IB4G1-edijdj! ,!7ID3B9-bjhjdh!

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P. Cortez, University of Minho, Guimarães, M. L. Curtis P. Dalgaard, Copenhagen Business School, Portugal Frederiksberg, Denmark Abstract Linear Algebra Modern Optimization with R Introductory Statistics with R Beginning from scratch and developing The goal of this book is to gather in the standard topics of Linear Algebra, R is an Open Source implementation of a single document the most relevant this book is intended as a text for a first the well-known S language. It works on concepts related to modern optimization course on the subject. The goal to which multiple computing platforms and can be methods, showing how such concepts this work leads is the Theorem of Hurwitz freely downloaded. R is thus ideally suited and methods can be addressed using - that the only normed algebras over the for teaching at many levels as well as for the open source, multi-platform R tool. real numbers are the real numbers, the practical data analysis and methodological Modern optimization methods, also known complex numbers, the quaternions, and development. This book provides an ele- as metaheuristics, are particularly useful the octonions. Unique in presenting this mentary-level introduction to R, targeting for solving complex problems for which material at an elementary level, the book both non-statistician scientists in various no specialized optimization algorithm has stresses the complete logical development fields and students of statistics. The main been developed. These methods often of the subject and will provide a bavuable mode of presentation is via code examples yield high quality solutions with a more reference for mathematicians in general. with liberal commenting of the code and reasonable use of computational resources the output, from the computational as 1990. X, 168 p. 1 illus. (Universitext) Softcover (e.g. memory and processing effort). [...] well as the statistical viewpoint. [...] € (D) 48,10 | € (A) 49,45 | *CHF 69.00 2014. XIII, 188 p. 33 illus. (Use R!) Softcover € 44,95 | £ 40,99 2nd ed. 2008. XVI, 364 p. (Statistics and € (D) 42,79 | € (A) 43,99 | *CHF 53.50 Computing) Softcover € 39,99 | £ 29,99 Yellow Sale Price € (D) 52,38 | € (A) 53,85 | *CHF 75.00 ( ) | ( ) | € D 26,74 € A 27,49 *CHF 27.50 € 48,95 | £ 43,99 Yellow Sale Price € 24,99 | £ 18,99 € (D) 21,39 | € (A) 21,99 | *CHF 22.00 978-0-387-97263-3 Yellow Sale Price € 19,99 | £ 14,99 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 978-3-319-08262-2 ,!7IA3I7-jhcgdd! € 24,99 | £ 18,99 978-0-387-79053-4 ,!7ID3B9-aicgcc! ,!7IA3I7-hjafde!

D. A. Cox, Amherst College, Amherst, MA, D.J. Daley, ; D. Vere-Jones, Victoria N. J. Daras, Hellenic Military Academy, Vari USA; J. Little, College of the Holy Cross, University, Wellington Dept. Mathematics, Attikis, Greece; M. Th. Rassias, ETH Zürich, Worcester, MA, USA; D. O’Shea, New College Wellington, New Zealand Zürich, Switzerland (Eds) of Florida, Sarasota, FL, USA An Introduction to the Computation, Cryptography, Ideals, Varieties, and Algorithms Theory of Point Processes and Network Security

This text covers topics in algebraic Point processes and random measures find Analysis, assessment, and data management geometry and commutative algebra with wide applicability in telecommunications, are core competencies for operation a strong perspective toward practical earthquakes, image analysis, spatial point research analysts. This volume addresses a and computational aspects. The first four patterns and stereology, to name but a number of issues and developed methods chapters form the core of the book. A few areas. The authors have made a major for improving those skills. It is an outgrowth comprehensive chart in the Preface illus- reshaping of their work in their first edition of a conference held in April 2013 at the Hel- trates a variety of ways to proceed with the of 1988 and now present An Introduction lenic Military Academy, and brings together material once these chapters are covered. In to the Theory of Point Processes in two a broad variety of mathematical methods addition to the fundamentals of algebraic volumes with subtitles Volume I: Elementary and theories with several applications. It geometry—the elimination theorem, the Theory and Methods and Volume II: discusses directions and pursuits of scientists extension theorem, the closure theorem General Theory and Structure. [...] that pertain to engineering sciences. [...] and the Nullstellensatz—this new edition incorporates several substantial changes, 2nd ed. 2008. XVII, 573 p. (Probability and Its 2015. IX, 756 p. 111 illus., 46 illus. in color. all of which are listed in the Preface. [...] Applications) Hardcover Hardcover € (D) 187,24 | € (A) 192,49 | *CHF 192.50 € (D) 149,79 | € (A) 153,99 | *CHF 158.00 4th ed. 2015. XVI, 646 p. 95 illus., 10 illus. in € 174,99 | £ 130,50 € 139,99 | £ 126,00 color. (Undergraduate Texts in Mathematics) Hardcover Yellow Sale Price Yellow Sale Price € (D) 53,49 | € (A) 54,99 | *CHF 67.00 € (D) 93,08 | € (A) 95,69 | *CHF 96.00 € (D) 82,38 | € (A) 84,69 | *CHF 85.00 € 49,99 | £ 44,99 € 86,99 | £ 64,99 € 76,99 | £ 57,99 978-0-387-21337-8 978-3-319-18274-2 Yellow Sale Price € (D) 26,74 | € (A) 27,49 | *CHF 27.50 € 24,99 | £ 18,99 ,!7IA3I7-cbddhi! ,!7ID3B9-bichec! 978-3-319-16720-6 ,!7ID3B9-bghcag! 19 Yellow Sale 2017 springer.com | English Titles

K. R. Davidson, University of Waterloo P. Davis, Brown University, Providence, RI, L. de Haan, Erasmus University, Rotterdam Department of Pure Mathematics, Waterloo, USA; R. Hersh, University of New Mexico, Erasmus School of Economics, Rotterdam, ON, Canada; A. P. Donsig, University of Albuquerque, NM, USA; E. A. Marchisotto, Netherlands; A. Ferreira, Instituto Superior Nebraska, Lincoln Dept. Mathematics, California State University, Northridge, de Agronomia Depto. Matematica, Lisboa, Lincoln, NE, USA Malibu, CA, USA Portugal Real Analysis and Applications The Mathematical Extreme Value Theory Experience, Study Edition 2010. XII, 513 p. (Undergraduate Texts in Extreme Value Theory offers a careful, Mathematics) Hardcover Winner of the 1983 National Book Award! coherent exposition of the subject starting € (D) 69,50 | € (A) 71,45 | *CHF 93.50 “…a perfectly marvelous book about the from the probabilistic and mathematical € 64,95 | £ 58,99 Queen of Sciences, from which one will get a foundations and proceeding to the statistical real feeling for what mathematicians do and theory. The book covers both the classical Yellow Sale Price who they are. The exposition is clear and full one-dimensional case as well as finite- and € (D) 37,44 | € (A) 38,49 | *CHF 38.50 of wit and humor...” - The New Yorker (1983 infinite-dimensional settings. All the main € 34,99 | £ 26,99 National Book Award edition) Mathematics topics at the heart of the subject are intro- 978-0-387-98097-3 has been a human activity for thousands duced in a systematic fashion so that in the of years. Yet only a few people from the final chapter even the most recent develop- ,!7IA3I7-jiajhd! vast population of users are professional ments in the theory can be understood. The mathematicians, who create, teach, foster, treatment is geared toward applications. [...] and apply it in a variety of situations. [...] 2006. XVIII, 418 p. 18 illus. (Springer Series 2012. XXV, 500 p. 139 illus. (Modern in Operations Research and Financial Birkhäuser Classics) Softcover Engineering) Hardcover € (D) 42,75 | € (A) 43,95 | *CHF 53.50 € (D) 55,59 | € (A) 57,15 | *CHF 83.00 € 39,95 | £ 35,99 € 51,95 | £ 46,99 Yellow Sale Price Yellow Sale Price € (D) 21,39 | € (A) 21,99 | *CHF 22.00 € (D) 39,58 | € (A) 40,69 | *CHF 41.00 € 19,99 | £ 14,99 € 36,99 | £ 27,99 978-0-8176-8294-1 978-0-387-23946-0 ,!7IA8B7-gicjeb! ,!7IA3I7-cdjega!

E. Davis, New York University, New York, J. W. Dawson, Jr., Penn State York, York, PA, J. C. De los Reyes, Escuela Politécnica NY, USA; P. J. Davis, Brown University, USA Nacional Quito, Quito, Ecuador Providence, RI, USA (Eds) Why Prove it Again? Numerical PDE-Constrained Mathematics, Substance Optimization and Surmise This monograph considers several well- known mathematical theorems and asks the This book introduces, in an accessible The seventeen thought-provoking and question, “Why prove it ” while examining way, the basic elements of Numerical engaging essays in this collection present alternative proofs. It explores the different PDE-Constrained Optimization, from the readers with a wide range of diverse per- rationales mathematicians may have for derivation of optimality conditions to the spectives on the ontology of mathematics. pursuing and presenting new proofs of design of solution algorithms. Numerical The essays address such questions as: What previously established results, as well as how optimization methods in function-spaces kind of things are mathematical objects? they judge whether two proofs of a given and their application to PDE-constrained What kinds of assertions do mathematical result are different. While a number of books problems are carefully presented. The statements make? How do people think have examined alternative proofs of individ- developed results are illustrated with several and speak about mathematics? How does ual theorems, this is the first that presents examples, including linear and nonlinear society use mathematics? How have our comparative case studies of other methods ones. In addition, MATLAB codes, for answers to these questions changed over for a variety of different theorems. [...] representative problems, are included. [...] the last two millennia, and how might 2015. XI, 204 p. 54 illus. Hardcover 2015. X, 123 p. 13 illus., 2 illus. in color. they change again in the future? [...] € (D) 90,94 | € (A) 93,49 | *CHF 96.00 (SpringerBriefs in Optimization) Softcover 2015. VI, 379 p. 35 illus., 23 illus. in color. € 84,99 | £ 76,50 € (D) 53,49 | € (A) 54,99 | *CHF 67.00 Hardcover Yellow Sale Price € 49,99 | £ 44,99 € (D) 101,64 | € (A) 104,49 | *CHF 107.00 € (D) 50,28 | € (A) 51,69 | *CHF 52.00 € 94,99 | £ 85,50 Yellow Sale Price € 46,99 | £ 34,99 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 Yellow Sale Price 978-3-319-17367-2 € 24,99 | £ 18,99 € (D) 58,84 | € (A) 60,49 | *CHF 60.50 978-3-319-13394-2 € 54,99 | £ 40,99 ,!7ID3B9-bhdghc! 978-3-319-21472-6 ,!7ID3B9-bddjec! ,!7ID3B9-cbehcg!

20 springer.com | English Titles Yellow Sale 2017

V. De Risi, MPI for the History of Science, P. N. de Souza, Department of Mathematics L. Debnath, University of Texas, Pan Berlin, Germany University of California at Berkeley, Berkeley, American, Edinburg, TX, USA CA, USA; J. Silva, Universidade Lisboa Depto. Leibniz on the Parallel Mathematica-FCL, Lisboa, Portugal Nonlinear Partial Differential Postulate and the Equations for Scientists Foundations of Geometry Berkeley Problems and Engineers in Mathematics This book offers a general introduction to The revised and enlarged third edition of this the geometrical studies of Gottfried Wilhelm In 1977 the Mathematics Department at the successful book presents a comprehensive Leibniz (1646-1716) and his mathematical University of California, Berkeley, instituted and systematic treatment of linear and epistemology. In particular, it focuses on his a written examination as one of the first nonlinear partial differential equations and theory of parallel lines and his attempts to major requirements toward the Ph.D. their varied and updated applications. In prove the famous Parallel Postulate. Further- degree in Mathematics. Its purpose was an effort to make the book more useful more it explains the role that Leibniz’s work to determine whether first-year students for a diverse readership, updated modern played in the development of non-Euclidean in the Ph.D. program had successfully examples of applications are chosen from geometry. The first part is an overview of mastered basic mathematics in order areas of fluid dynamics, gas dynamics, his epistemology of geometry and a few of to continue in the program with the plasma physics, nonlinear dynamics, his geometrical findings, which puts them likelihood of success. Since its inception, quantum mechanics, nonlinear optics, in the context of the seventeenth-century the exam has become a major hurdle to acoustics, and wave propagation. [...] studies on the foundations of geometry. [...] overcome in the pursuit of the degree. [...] 3rd ed. 2012. XXIII, 860 p. 104 illus. Hardcover 3rd ed. 2004. XIV, 593 p. 3 illus. (Problem 2016. VIII, 195 p. (Science Networks. Historical € (D) 80,24 | € (A) 82,49 | *CHF 83.00 Books in Mathematics) Softcover Studies, Volume 51) Hardcover € 74,99 | £ 66,99 € (D) 106,99 | € (A) 109,99 | *CHF 110.00 € (D) 64,19 | € (A) 65,99 | *CHF 79.00 € 99,99 | £ 74,50 € 59,99 | £ 53,99 Yellow Sale Price € (D) 39,58 | € (A) 40,69 | *CHF 41.00 Yellow Sale Price Yellow Sale Price € 36,99 | £ 27,99 € (D) 32,09 | € (A) 32,99 | *CHF 33.00 € (D) 69,54 | € (A) 71,49 | *CHF 71.50 978-0-8176-8264-4 € 64,99 | £ 48,99 € 29,99 | £ 22,99 978-3-319-19862-0 978-0-387-00892-9 ,!7IA8B7-gicgee! ,!7ID3B9-bjigca! ,!7IA3I7-aaijcj!

P. N. de Souza, Department of Mathematics K. Dębicki, University of Wrocław, G. Deelstra, Université Libre de Bruxelles, University of California at Berkeley, Berkeley, Wrocław, Poland; M. Mandjes, University of Brussels, Belgium; G. Plantin, Toulouse CA, USA; J. Silva, Universidade Lisboa Depto. Amsterdam, Amsterdam, The Netherlands School of Economics, Toulouse, France Mathematica-FCL, Lisboa, Portugal Queues and Lévy Risk Theory and Reinsurance Berkeley Problems Fluctuation Theory in Mathematics Reinsurance is an important production The book provides an extensive introduction factor of non-life insurance. The efficiency In 1977 the Mathematics Department at the to queueing models driven by Lévy-pro- and the capacity of the reinsurance market University of California, Berkeley, instituted cesses as well as a systematic account of directly regulate those of insurance markets. a written examination as one of the first the literature on Lévy-driven queues. The The purpose of this book is to provide major requirements toward the Ph.D. objective is to make the reader familiar with a concise introduction to risk theory, as degree in Mathematics. Its purpose was the wide set of probabilistic techniques well as to its main application procedures to determine whether first-year students that have been developed over the past to reinsurance. The first part of the book in the Ph.D. program had successfully decades, including transform-based covers risk theory. It presents the most mastered basic mathematics in order techniques, martingales, rate-conservation prevalent model of ruin theory, as well to continue in the program with the arguments, change-of-measure, importance as a discussion on insurance premium likelihood of success. Since its inception, sampling, and large deviations. [...] calculation principles and the mathematical the exam has become a major hurdle to tools that enable portfolios to be ordered 2015. XI, 255 p. 12 illus. (Universitext) overcome in the pursuit of the degree. [...] according to their risk levels. [...] Softcover 2014. VIII, 78 p. 3 illus. (EAA Series) Softcover 3rd ed. 2004. XIV, 593 p. 3 illus. (Problem € (D) 53,49 | € (A) 54,99 | *CHF 56.50 Books in Mathematics) Hardcover € 49,99 | £ 44,99 € (D) 42,79 | € (A) 43,99 | *CHF 53.50 € (D) 160,49 | € (A) 164,99 | *CHF 166.50 € 39,99 | £ 35,99 € 149,99 | £ 133,00 Yellow Sale Price € (D) 26,74 | € (A) 27,49 | *CHF 27.50 Yellow Sale Price Yellow Sale Price € 24,99 | £ 18,99 € (D) 21,39 | € (A) 21,99 | *CHF 22.00 € 19,99 | £ 14,99 € (D) 80,24 | € (A) 82,49 | *CHF 82.50 978-3-319-20692-9 € 74,99 | £ 55,99 978-1-4471-5567-6 978-0-387-20429-1 ,!7ID3B9-cagjcj! ,!7IB4E7-bffghg! ,!7IA3I7-caecjb!

21 Yellow Sale 2017 springer.com | English Titles

K. Deergha Rao, Osmania University, H. Derksen, University of Michigan, K. Diethelm, GNS Gesellschaft für Hyderabad, Telangana, India Department of Mathematics, Ann Arbor, Numerische Simulati, Braunschweig, MI, USA; G. Kemper, Technische Universität Germany Channel Coding Techniques München, Zentrum Mathematik - M11, for Wireless Communications Garching, Germany The Analysis of Fractional Differential Equations The book discusses modern channel coding Computational Invariant Theory techniques for wireless communications Fractional calculus was first developed by such as turbo codes, low parity check This book is about the computational pure mathematicians in the middle of the codes (LDPC), space-time coding, Reed aspects of invariant theory. Of central 19th century. Some 100 years later, engineers Solomon (RS) codes and convolutional interest is the question how the invariant and physicists have found applications codes. Many illustrative examples ring of a given group action can be for these concepts in their areas. However are included in each chapter for easy calculated. Algorithms for this purpose form there has traditionally been little interaction understanding of the coding techniques. the main pillars around which the book is between these two communities. In The text is integrated with MATLAB-based built. There are two introductory chapters, particular, typical mathematical works programs to enhance the understanding one on Gröbner basis methods and one on provide extensive findings on aspects of the subject’s underlying theories. [...] the basic concepts of invariant theory, which with comparatively little significance prepare the ground for the algorithms. Then in applications, and the engineering 2015. XXI, 394 p. 255 illus. Hardcover algorithms for computing invariants of finite literature often lacks mathematical detail € (D) 101,64 | € (A) 104,49 | *CHF 126.50 and reductive groups are discussed. [...] and precision. This book bridges the gap € 94,99 | £ 85,50 2nd ed. 2015. XXII, 366 p. 13 illus. in color. between the two communities. [...] Yellow Sale Price (Encyclopaedia of Mathematical Sciences, 2010. VIII, 247 p. 10 illus. (Lecture Notes in € (D) 58,84 | € (A) 60,49 | *CHF 60.50 Volume 130) Hardcover Mathematics, Volume 2004) Softcover | € 54,99 £ 40,99 € (D) 128,39 | € (A) 131,99 | *CHF 132.00 € (D) 48,10 | € (A) 49,45 | *CHF 64.50 978-81-322-2291-0 € 119,99 | £ 89,50 € 44,95 | £ 40,99 Yellow Sale Price Yellow Sale Price ,!7II1D2-cccjba! € (D) 69,54 | € (A) 71,49 | *CHF 71.50 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 € 64,99 | £ 48,99 € 24,99 | £ 18,99 978-3-662-48420-3 978-3-642-14573-5 ,!7ID6G2-eiecad! ,!7ID6E2-befhdf!

A. Dembo, Stanford University Dept. of G. Di Nunno, Department of A. Dimca, Université Bordeaux I Dépt. Statistics, Stanford, CA, USA; O. Zeitouni, Mathematics University of Oslo, Oslo, Informatique, Talence CX, France University of Minnesota Dept. Mathematics, Norway; B. Øksendal, University of Oslo Minneapolis, MN, USA CMA, Oslo, Norway; F. Proske, Department Sheaves in Topology of Mathematics University of Oslo, Oslo, Constructible and perverse sheaves are the Large Deviations Techniques Norway and Applications algebraic counterpart of the decomposition Malliavin Calculus for of a singular space into smooth manifolds, Large deviation estimates have proved Lévy Processes with a great geometrical idea due to R. Thom to be the crucial tool required to handle Applications to Finance and H. Whitney. These sheaves, generalizing many questions in statistics, engineering, the local systems that are so ubiquitous in statistial mechanics, and applied probability. 2009. XIV, 418 p. (Universitext) Softcover mathematics, have powerful applications Amir Dembo and Ofer Zeitouni, two of the to the topology of such singular spaces € (D) 48,14 | € (A) 49,49 | *CHF 51.00 leading researchers in the field, provide an (mainly algebraic and analytic complex € 44,99 | £ 40,99 introduction to the theory of large devi- varieties). This introduction to the ations and applications at a level suitable Yellow Sale Price subject can be regarded as a textbook for graduate students. The mathematics is € (D) 26,74 | € (A) 27,49 | *CHF 27.50 on modern algebraic topology, treating rigorous and the applications come from € 24,99 | £ 18,99 the cohomology of spaces with sheaf (as opposed to constant)coefficients. [...] a wide range of areas, including electrical 978-3-540-78571-2 engineering and DNA sequences. [...] 2004. XVI, 240 p. (Universitext) Softcover 2nd ed. 2010. XVI, 396 p. (Stochastic ,!7ID5E0-hifhbc! € (D) 48,10 | € (A) 49,45 | *CHF 75.00 Modelling and Applied Probability, Volume € 44,95 | £ 35,99 38) Softcover Yellow Sale Price € (D) 42,75 | € (A) 43,95 | *CHF 57.50 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 € 39,95 | £ 35,99 € 24,99 | £ 18,99 Yellow Sale Price 978-3-540-20665-1 € (D) 21,39 | € (A) 21,99 | *CHF 22.00 € 19,99 | £ 14,99 ,!7ID5E0-caggfb! 978-3-642-03310-0 ,!7ID6E2-addbaa! 22 springer.com | English Titles Yellow Sale 2017

M. P. Do Carmo B.A. Dubrovin; A.T. Fomenko, Lomonosov B.A. Dubrovin, ; A.T. Fomenko, Lomonosov Moscow State University Dept. Mathematics Moscow State University Dept. Mathematics Differential Forms & Mechanics, Moskva, RussiaS.P. Novikov, & Mechanics, Moskva, RussiaS.P. Novikov, and Applications MIAN, Moscow GSP 1, Russia MIAN, Moscow GSP 1, Russia This is a free translation of a set of notes Modern Geometry — Methods Modern Geometry—Methods published originally in Portuguese in 1971. and Applications and Applications They were translated for a course in the College of Differential Geome try, ICTP, This is the first volume of a three-volume Over the past fifteen years, the geometrical Trieste, 1989. In the English translation introduction to modern geometry, with and topological methods of the theory of we omitted a chapter on the Frobenius emphasis on applications to other areas of manifolds have as- sumed a central role theorem and an appendix on the nonex- mathematics and theoretical physics. Topics in the most advanced areas of pure and istence of a complete hyperbolic plane covered include tensors and their differential applied mathematics as well as theoretical in euclidean 3-space (Hilbert’s theorem). calculus, the calculus of variations in one physics. The three volumes of Modern For the present edition, we introduced a and several dimensions, and geometric Geometry - Methods and Applications con- chapter on line integrals. In Chapter 1 we field theory. This material is explained tain a concrete exposition of these methods introduce the differential forms in Rn. [...] in as simple and concrete a language as together with their main applications in possible, in a terminology acceptable mathematics and physics. This third volume, 1994. X, 118 p. (Universitext) Softcover to physicists. The text for the second presented in highly accessible languages, € (D) 42,75 | € (A) 43,95 | *CHF 57.50 edition has been substantially revised. concentrates in homology theory. [...] € 39,95 | £ 35,99 2nd ed. 1992. XVI, 470 p. (Graduate Texts in 1990. X, 418 p. (Graduate Texts in Yellow Sale Price Mathematics, Volume 93) Hardcover Mathematics, Volume 124) Hardcover ( ) | ( ) | € D 21,39 € A 21,99 *CHF 22.00 € (D) 64,15 | € (A) 65,95 | *CHF 86.00 € (D) 74,85 | € (A) 76,95 | *CHF 109.00 | € 19,99 £ 14,99 € 59,95 | £ 47,99 € 69,95 | £ 62,99 978-3-540-57618-1 Yellow Sale Price Yellow Sale Price € (D) 32,09 | € (A) 32,99 | *CHF 33.00 € (D) 37,44 | € (A) 38,49 | *CHF 38.50 ,!7ID5E0-fhgbib! € 29,99 | £ 22,99 € 34,99 | £ 26,99 978-0-387-97663-1 978-0-387-97271-8 ,!7IA3I7-jhggdb! ,!7IA3I7-jhchbi!

V. Dolejší, Charles University in Prague, B.A. Dubrovin; A.T. Fomenko, Lomonosov P. Dyke, Plymouth University, Plymouth, UK Praha 8, Czech Republic; M. Feistauer, Moscow State University Dept. Mathematics Charles University in Prague, Praha 8, Czech & Mechanics, Moskva, RussiaS.P. Novikov, An Introduction to Laplace Republic MIAN, Moscow GSP 1, Russia Transforms and Fourier Series Discontinuous Galerkin Method Modern Geometry— Methods Laplace transforms continue to be a very and Applications important tool for the engineer, physicist The subject of the book is the mathematical and applied mathematician. They are also theory of the discontinuous Galerkin method Up until recently, Riemannian geometry now useful to financial, economic and (DGM), which is a relatively new technique and basic topology were not included, biological modellers as these disciplines for the numerical solution of partial even by departments or faculties of become more quantitative. Any problem differential equations. The book is concerned mathematics, as compulsory subjects in a that has underlying linearity and with solu- with the DGM developed for elliptic and university-level mathematical education. tion based on initial values can be expressed parabolic equations and its applications to The standard courses in the classical as an appropriate differential equation and the numerical simulation of compressible differential geometry of curves and surfaces hence be solved using Laplace transforms. flow. It deals with the theoretical as well which were given instead (and still are In this book, there is a strong emphasis on as practical aspects of the DGM and treats given in some places) have come gradually application with the necessary mathematical the basic concepts and ideas of the DGM, to be viewed as anachronisms. [...] grounding. There are plenty of worked as well as the latest significant findings examples with all solutions provided. [...] and achievements in this area. [...] 1985. XV, 432 p. (Graduate Texts in Mathematics, Volume 104) Hardcover 2nd ed. 2014. XV, 318 p. 66 illus., 10 illus. in 2015. XIV, 572 p. 87 illus., 4 illus. in color. € (D) 74,85 | € (A) 76,95 | *CHF 109.00 color. (Springer Undergraduate Mathematics (Springer Series in Computational € 69,95 | £ 62,99 Series) Softcover Mathematics, Volume 48) Hardcover € (D) 37,44 | € (A) 38,49 | *CHF 47.00 € (D) 117,69 | € (A) 120,99 | *CHF 124.00 Yellow Sale Price € 34,99 | £ 24,95 € 109,99 | £ 99,00 € (D) 37,44 | € (A) 38,49 | *CHF 38.50 € 34,99 | £ 26,99 Yellow Sale Price Yellow Sale Price 978-0-387-96162-0 € (D) 18,18 | € (A) 18,69 | *CHF 19.00 € (D) 64,19 | € (A) 65,99 | *CHF 66.00 € 16,99 | £ 12,99 € 59,99 | £ 44,99 978-1-4471-6394-7 978-3-319-19266-6 ,!7IA3I7-jgbgca! ,!7ID3B9-bjcggg! ,!7IB4E7-bgdjeh!

23 Yellow Sale 2017 springer.com | English Titles

H.-D. Ebbinghaus; J. Flum; W. Thomas, M. Einsiedler, ETH Zürich Departement D. Eisenbud, Mathematical Sciences Aachen University LS für Informatik 7, Mathematik, Zürich, Switzerland; T. Ward, Research Institute (MSRI), Berkeley, CA, USA Thomas, Germany University of East Anglia School of Mathematics, Norwich, UK The Geometry of Syzygies Mathematical Logic Ergodic Theory Algebraic Geometry often seems very What is a mathematical proof? How can abstract, but in fact it is full of concrete proofs be justified? Are there limitations to This text is a rigorous introduction to examples and problems. This side of the provability? To what extent can machines ergodic theory, developing the machinery subject can be approached through the carry out mathe matical proofs? Only in this of conditional measures and expectations, equations of a variety, and the syzygies of century has there been success in obtaining mixing, and recurrence. Beginning by these equations are a necessary part of the substantial and satisfactory answers. The developing the basics of ergodic theory study. This book is the first textbook-level present book contains a systematic dis- and progressing to describe some recent account of basic examples and techniques cussion of these results. The investigations applications to number theory, this book in this area. It illustrates the use of syzygies are centered around first-order logic. [...] goes beyond the standard texts in this topic. in many concrete geometric considerations, Applications include Weyl’s polynomial from interpolation to the study of 2nd ed. 1994. X, 291 p. (Undergraduate Texts equidistribution theorem, the ergodic proof canonical curves. The text has served as a in Mathematics) Hardcover of Szemeredi’s theorem, the connection basis for graduate courses by the author € (D) 64,15 | € (A) 65,95 | *CHF 92.00 between the continued fraction map and at Berkeley, Brandeis, and in Paris. [...] € 59,95 | £ 53,99 the modular surface, and a proof of the 2005. XIV, 246 p. (Graduate Texts in equidistribution of horocycle orbits. [...] Yellow Sale Price Mathematics, Volume 229) Hardcover ( ) | ( ) | € D 32,09 € A 32,99 *CHF 33.00 2011. XVII, 481 p. (Graduate Texts in € (D) 79,13 | € (A) 81,35 | *CHF 114.00 | € 29,99 £ 22,99 Mathematics, Volume 259) Hardcover € 73,95 | £ 66,99 978-0-387-94258-2 € (D) 64,15 | € (A) 65,95 | *CHF 86.00 € 59,95 | £ 53,99 Yellow Sale Price € (D) 37,44 | € (A) 38,49 | *CHF 38.50 ,!7IA3I7-jecfic! Yellow Sale Price € 34,99 | £ 26,99 € (D) 32,09 | € (A) 32,99 | *CHF 33.00 978-0-387-22215-8 € 29,99 | £ 22,99 978-0-85729-020-5 ,!7IA3I7-cccbfi! ,!7IA8F7-cjacaf!

G. Edgar, Columbus, OH, USA D. Eisenbud, Mathematical Sciences D. Eisenbud, Mathematical Sciences Research Institute (MSRI), Berkeley, CA, USA Research Institute (MSRI), Berkeley, CA, USA Measure, Topology, and Fractal Geometry Commutative Algebra The Geometry of Syzygies

From reviews of the first edition: “In the Commutative Algebra is best understood Algebraic Geometry often seems very world of mathematics, the 1980’s might with knowledge of the geometric ideas that abstract, but in fact it is full of concrete well be described as the “decade of the have played a great role in its formation, examples and problems. This side of the fractal”. Starting with Benoit Mandelbrot’s in short, with a view towards algebraic subject can be approached through the remarkable text The Fractal Geometry geometry. The author presents a compre- equations of a variety, and the syzygies of of Nature, there has been a deluge of hensive view of commutative algebra, from these equations are a necessary part of the books, articles and television programmes basics, such as localization and primary study. This book is the first textbook-level about the beautiful mathematical objects, decomposition, through dimension theory, account of basic examples and techniques drawn by computers using recursive or differentials, homological methods, free in this area. It illustrates the use of syzygies iterative algorithms, which Mandelbrot resolutions and duality, emphasizing the in many concrete geometric considerations, christened fractals. Gerald Edgar’s book is origins of the ideas and their connections from interpolation to the study of a significant addition to this deluge. [...] with other parts of mathematics. [...] canonical curves. The text has served as a basis for graduate courses by the author 1995. XVI, 788 p. (Graduate Texts in 2nd ed. 2008. XVI, 272 p. 169 illus., 20 illus. in at Berkeley, Brandeis, and in Paris. [...] color. (Undergraduate Texts in Mathematics) Mathematics, Volume 150) Softcover Hardcover € (D) 42,75 | € (A) 43,95 | *CHF 57.50 2005. XIV, 246 p. (Graduate Texts in Mathematics, Volume 229) Softcover € (D) 43,82 | € (A) 45,05 | *CHF 63.50 € 39,95 | £ 31,99 € 40,95 | £ 36,99 € (D) 42,79 | € (A) 43,99 | *CHF 42.00 Yellow Sale Price € 39,99 | £ 33,99 Yellow Sale Price € (D) 21,39 | € (A) 21,99 | *CHF 22.00 € (D) 21,39 | € (A) 21,99 | *CHF 22.00 € 19,99 | £ 14,99 Yellow Sale Price € 19,99 | £ 14,99 978-0-387-94269-8 € (D) 21,39 | € (A) 21,99 | *CHF 22.00 € 19,99 | £ 14,99 978-0-387-74748-4 ,!7IA3I7-jecgji! 978-0-387-22232-5 ,!7IA3I7-heheie! ,!7IA3I7-cccdcf!

24 springer.com | English Titles Yellow Sale 2017

T. Eisner, University of Leipzig, Leipzig, H. Federer R. Fenn Germany; B. Farkas, University of Wuppertal, Wuppertal, Germany; M. Haase, TU Delft Geometric Measure Theory Geometry Fac. EWI/DIAM, Delft; R. Nagel, Universität From the reviews: “... Federer’s timely and Geometry is probably the most accessible Tübingen Mathematisches Institut, beautiful book indeed fills the need for a branch of mathematics, and can provide Tübingen, Germany comprehensive treatise on geometric mea- an easy route to understanding some of Operator Theoretic Aspects sure theory, and his detailed exposition leads the more complex ideas that mathematics of Ergodic Theory from the foundations of the theory to the can present. This book is intended to most recent discoveries. ... The author writes introduce readers to the major geometrical Stunning recent results by Host–Kra, Green– with a distinctive style which is both natural topics taught at undergraduate level, in a Tao, and others, highlight the timeliness of and powerfully economical in treating a manner that is both accessible and rigorous. this systematic introduction to classical ergo- complicated subject. This book is a major The author uses world measurement as a dic theory using the tools of operator theory. treatise in mathematics and is essential in synonym for geometry - hence the impor- Assuming no prior exposure to ergodic the working library of the modern analyst.” tance of numbers, coordinates and their theory, this book provides a modern foun- Bulletin of the London Mathematical Society manipulation - and has included over 300 exercises, with answers to most of them. [...] dation for introductory courses on ergodic 1996. IV, 677 p. (Classics in Mathematics) theory, especially for students or researchers Softcover 2001. XII, 313 p. 20 illus. (Springer with an interest in functional analysis. [...] € (D) 53,49 | € (A) 54,99 | *CHF 56.50 Undergraduate Mathematics Series) 2015. XVIII, 628 p. 25 illus., 1 illus. in color. € 49,99 | £ 44,99 Softcover (Graduate Texts in Mathematics, Volume 272) € (D) 37,40 | € (A) 38,45 | *CHF 47.00 Hardcover Yellow Sale Price € 34,95 | £ 24,95 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 € (D) 74,89 | € (A) 76,99 | *CHF 79.00 € 24,99 | £ 18,99 Yellow Sale Price € 69,99 | £ 62,99 978-3-540-60656-7 € (D) 18,18 | € (A) 18,69 | *CHF 19.00 Yellow Sale Price € 16,99 | £ 12,99 € (D) 37,44 | € (A) 38,49 | *CHF 38.50 ,!7ID5E0-gagfgh! 978-1-85233-058-3 € 34,99 | £ 26,99 978-3-319-16897-5 ,!7IB8F2-ddafid! ,!7ID3B9-bgijhf!

P. Embrechts, ETH Zürich, Zürich, T. G. Feeman, Villanova University Dept. J. Ferreirós, Universidad de Sevilla Depto. Switzerland; C. Klüppelberg, Munich Mathematical Sciences, Villanova, PA, USA Filosofia y Logica, Sevilla, Spain University of Technology Center for Mathematical Sciences, Garching by The Mathematics of Labyrinth of Thought Munich, Germany; T. Mikosch, University Medical Imaging Labyrinth of Thought discusses the emer- Copenhagen Inst. Mathematical Sciences, gence and development of set theory and Copenhagen, Denmark The basic mathematics of computerized tomography, the CT scan, are aptly the set-theoretic approach to mathematics Modelling Extremal Events presented for an audience of undergrad- during the period 1850-1940. Rather than uates in mathematics and engineering. focusing on the pivotal figure of Georg Can- Both in insurance and in finance applications, Assuming no prior background in advanced tor, it analyzes his work and the emergence questions involving extremal events (such mathematical analysis, topics such as the of transfinite set theory within the broader as large insurance claims, large fluctuations Fourier transform, sampling, and discrete context of the rise of modern mathematics. in financial data, stock market shocks, approximation algorithms are introduced The text has a tripartite structure. [...] risk management, ...) play an increasingly from scratch and are developed within the 2nd ed. 2007. XXVI, 466 p. 7 illus. important role. This book sets out to bridge context of medical imaging. A chapter on (Wissenschaftsprogramm nur the gap between the existing theory and magnetic resonance imaging focuses on englisch(Birkhäuser)) Softcover practical applications both from a probabilis- manipulation of the Bloch equation, the tic as well as from a statistical point of view. system of differential equations that is the € (D) 80,24 | € (A) 82,49 | *CHF 84.50 Whatever new theory is presented is always foundation of this important technology. [...] € 74,99 | £ 67,99 motivated by relevant real-life examples. [...] 2nd ed. 2015. XIV, 197 p. 38 illus. (Springer Yellow Sale Price 1997. XV, 648 p. (Stochastic Modelling and Undergraduate Texts in Mathematics and € (D) 39,58 | € (A) 40,69 | *CHF 41.00 Applied Probability, Volume 33) Hardcover Technology) Hardcover € 36,99 | £ 27,99 € (D) 80,24 | € (A) 82,49 | *CHF 100.00 € (D) 42,79 | € (A) 43,99 | *CHF 45.50 978-3-7643-8349-7 € 74,99 | £ 67,99 € 39,99 | £ 35,99 ,!7ID7G4-didejh! Yellow Sale Price Yellow Sale Price € (D) 39,58 | € (A) 40,69 | *CHF 41.00 € (D) 21,39 | € (A) 21,99 | *CHF 22.00 € 36,99 | £ 27,99 € 19,99 | £ 14,99 978-3-540-60931-5 978-3-319-22664-4 ,!7ID5E0-gajdbf! ,!7ID3B9-ccggee! 25 Yellow Sale 2017 springer.com | English Titles

G. Fibich, Tel Aviv University, Tel Aviv, Israel W. H. Fleming, Brown University Div. E. Freitag, Universität Heidelberg Applied Mathematics, Providence, RI, Inst. Mathematik, Heidelberg, The Nonlinear USA; H. M. Soner, ETH Zürich, Zürich, Germany; R. Busam, Universität Heidelberg Schrödinger Equation Switzerland Inst. Mathematik, Heidelberg, Germany This book is an interdisciplinary introduction Controlled Markov Processes Complex Analysis to optical collapse of laser beams, which is and Viscosity Solutions modelled by singular (blow-up) solutions of 2nd ed. 2009. X, 532 p. 112 illus., 2 illus. in the nonlinear Schrödinger equation. With 2nd ed. 2006. XVII, 429 p. (Stochastic color. (Universitext) Softcover great care and detail, it develops the subject Modelling and Applied Probability, Volume € (D) 48,10 | € (A) 49,45 | *CHF 64.50 including the mathematical and physical 25) Hardcover € 44,95 | £ 35,99 background and the history of the subject. € (D) 139,09 | € (A) 142,99 | *CHF 141.50 Yellow Sale Price It combines rigorous analysis, asymptotic € 129,99 | £ 113,00 analysis, informal arguments, numerical € (D) 26,74 | € (A) 27,49 | *CHF 27.50 simulations, physical modelling, and physical Yellow Sale Price € 24,99 | £ 18,99 experiments. It repeatedly emphasizes € (D) 69,54 | € (A) 71,49 | *CHF 71.50 978-3-540-93982-5 the relations between these approaches, € 64,99 | £ 48,99 and the intuition behind the results. [...] 978-0-387-26045-7 ,!7ID5E0-jdjicf! 2015. XXXI, 862 p. 202 illus., 100 illus. in color. (Applied Mathematical Sciences, Volume ,!7IA3I7-cgaefh! 192) Hardcover € (D) 85,59 | € (A) 87,99 | *CHF 106.50 € 79,99 | £ 72,00 Yellow Sale Price € (D) 46,00 | € (A) 47,29 | *CHF 47.50 € 42,99 | £ 31,99 978-3-319-12747-7 ,!7ID3B9-bchehh!

D. R. Finston, Brooklyn College of the V. Franjou, Université de Nantes Laboratoire E. Freitag, Universität Heidelberg Inst. City University of New York, Brooklyn, de Mathématiques Jean Leray, Nantes, Mathematik, Heidelberg, Germany NY, USA; P. J. Morandi, New Mexico State France; A. Touzé, Laboratoire Paul Painlevé, University, Las Cruces, NM, USA Université Lille 1, Villeneuve d’Ascq, France Complex Analysis 2 (Eds) Abstract Algebra The book contains a complete self-contained Lectures on Functor Homology introduction to highlights of classical This text seeks to generate interest in complex analysis. New proofs and some abstract algebra by introducing each This book features a series of lectures that new results are included. All needed notions new structure and topic via a real- explores three different fields in which are developed within the book: with the world application. The down-to-earth functor homology (short for homological exception of some basic facts which can presentation is accessible to a readership algebra in functor categories) has recently be found in the ¯rst volume. There is no with no prior knowledge of abstract played a significant role. For each of these comparable treatment in the literature. algebra. Students are led to algebraic applications, the functor viewpoint provides 2nd ed. 2011. XIII, 506 p. 51 illus. concepts and questions in a natural way both essential insights and new methods for (Universitext) Softcover through their everyday experiences. [...] tackling difficult mathematical problems. In the lectures by Aurélien Djament, € (D) 74,89 | € (A) 76,99 | *CHF 79.00 2014. IX, 187 p. 45 illus. With online files/ polynomial functors appear as coefficients € 69,99 | £ 62,99 update. (Springer Undergraduate Texts in in the homology of infinite families of Mathematics and Technology) Hardcover Yellow Sale Price classical groups, e.g. general linear groups or ( ) | ( ) | € (D) 42,79 | € (A) 43,99 | *CHF 53.50 € D 37,44 € A 38,49 *CHF 38.50 symplectic groups, and their stabilization. [...] | € 39,99 | £ 35,99 € 34,99 £ 26,99 2015. VI, 149 p. 140 illus., 1 illus. in color. 978-3-642-20553-8 Yellow Sale Price (Progress in Mathematics, Volume 311) € (D) 21,39 | € (A) 21,99 | *CHF 22.00 Hardcover | ,!7ID6E2-caffdi! € 19,99 £ 14,99 € (D) 74,89 | € (A) 76,99 | *CHF 77.00 978-3-319-04497-2 € 69,99 | £ 52,99 Yellow Sale Price ,!7ID3B9-aeejhc! € (D) 37,44 | € (A) 38,49 | *CHF 38.50 € 34,99 | £ 26,99 978-3-319-21304-0 ,!7ID3B9-cbdaea! 26 springer.com | English Titles Yellow Sale 2017

L. Fuchs, Tulane University, New Orleans, LA, K. Fujii, Graduate School of Science, Kyoto W. Fulton USA Quantum Computation Algebraic Topology Abelian Groups with Topological Codes To the Teacher. This book is designed Written by one of the subject’s foremost This book presents a self-consistent to introduce a student to some of the experts, this book focuses on the central review of quantum computation with important ideas of algebraic topology by developments and modern methods of the topological quantum codes. The book emphasizing the re lations of these ideas advanced theory of abelian groups, while covers everything required to understand with other areas of mathematics. Rather remaining accessible, as an introduction topological fault-tolerant quantum than choosing one point of view of modem and reference, to the non-specialist. It computation, ranging from the definition topology (homotopy theory, simplicial provides a coherent source for results of the surface code to topological quan- complexes, singular theory, axiomatic scattered throughout the research tum error correction and topological homology, differ ential topology, etc.), we literature with lots of new proofs. [...] fault-tolerant operations. The underlying concentrate our attention on concrete prob lems in low dimensions, introducing 2015. XXI, 747 p. (Springer Monographs in basic concepts and powerful tools, such as only as much algebraic machin ery as Mathematics) Hardcover universal quantum computation, quantum algorithms, stabilizer formalism, and mea- necessary for the problems we meet. [...] € (D) 149,79 | € (A) 153,99 | *CHF 158.00 surement-based quantum computation, are € 139,99 | £ 126,00 1995. XVIII, 430 p. 13 illus. (Graduate Texts in also introduced in a self-consistent way. [...] Mathematics, Volume 153) Softcover Yellow Sale Price 2015. X, 138 p. 131 illus., 113 illus. in color. € (D) 42,75 | € (A) 43,95 | *CHF 57.50 ( ) | ( ) | € D 82,38 € A 84,69 *CHF 85.00 (SpringerBriefs in Mathematical Physics, € 39,95 | £ 33,99 € 76,99 | £ 57,99 Volume 8) Softcover Yellow Sale Price 978-3-319-19421-9 € (D) 53,49 | € (A) 54,99 | *CHF 55.00 € (D) 21,39 | € (A) 21,99 | *CHF 22.00 € 49,99 | £ 37,99 ,!7ID3B9-bjecbj! € 19,99 | £ 14,99 Yellow Sale Price 978-0-387-94327-5 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 € 24,99 | £ 18,99 ,!7IA3I7-jedchf! 978-981-287-995-0 ,!7IJ8B2-ihjjfa!

P. A. Fuhrmann, Ben-Gurion University of T. Fujiwara-Greve, Keio University, W. Fulton the Negev, Beer-Sheva, Israel; U. Helmke, Minato-ku, Japan Universität Würzburg, Institute of Intersection Theory Mathematics, Würzburg, Germany Non-Cooperative Game Theory From the ancient origins of algebraic geome- The Mathematics of Networks This is a textbook for university juniors, try in the solutions of polynomial equations, of Linear Systems seniors, and graduate students majoring through the triumphs of algebraic geometry in economics, applied mathematics, and during the last two centuries, intersection This book provides the mathematical related fields. Each chapter is structured theory has played a central role. The aim foundations of networks of linear control so that a core concept of that chapter of this book is to develop the foundations systems, developed from an algebraic is presented with motivations, useful of this theory, and to indicate the range of systems theory perspective. This includes applications are given, and related advanced classical and modern applications. Although a thorough treatment of questions of topics are discussed for future study. a comprehensive history of this vast subject controllability, observability, realization Many helpful exercises at various levels is not attempted, the author points out theory, as well as feedback control and are provided at the end of each chapter. some of the striking early appearances observer theory. The potential of networks Therefore, this book is most suitable for of the ideas of intersection theory. [...] readers who intend to study non-coop- for linear systems in controlling large-scale 2nd ed. 1998. XIII, 470 p. Softcover networks of interconnected dynamical erative game theory rigorously for both € (D) 93,08 | € (A) 95,69 | *CHF 96.00 systems could provide insight into a diversity theoretical studies and applications. [...] € 86,99 | £ 64,99 of scientific and technological disciplines. [...] 2015. XI, 260 p. 64 illus. (Monographs 2015. XIV, 662 p. 53 illus. (Universitext) in Mathematical Economics, Volume 1) Yellow Sale Price Softcover Hardcover € (D) 46,00 | € (A) 47,29 | *CHF 47.50 € 42,99 | £ 31,99 € (D) 74,89 | € (A) 76,99 | *CHF 79.00 € (D) 53,49 | € (A) 54,99 | *CHF 56.50 € 69,99 | £ 49,99 € 49,99 | £ 44,99 978-0-387-98549-7 Yellow Sale Price Yellow Sale Price ,!7IA3I7-jifejh! € (D) 37,44 | € (A) 38,49 | *CHF 38.50 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 € 34,99 | £ 26,99 € 24,99 | £ 18,99 978-3-319-16645-2 978-4-431-55644-2 ,!7ID3B9-bggefc! ,!7IE4D1-ffgeec!

27 Yellow Sale 2017 springer.com | English Titles

W. Fulton; J. Harris T. W. Gamelin I. M. Gelfand, Rutgers State University of New Jersey Dept. Mathematics, New Representation Theory Complex Analysis Brunswick, NJ, USA; M. Kapranov, Yale University Dept. Mathematics, New Haven, The primary goal of these lectures is to The book provides an introduction to CT, USA; A. Zelevinsky, Northeastern introduce a beginner to the finite dimen- complex analysis for students with some University Dept. Mathematics, Boston, MA, sional representations of Lie groups and Lie familiarity with complex numbers from USA algebras. Since this goal is shared by quite a high school. It conists of sixteen chapters. few other books, we should explain in this The first eleven chapters are aimed at an Discriminants, Resultants, and Preface how our approach differs, although Upper Division undergraduate audience. Multidimensional Determinants the potential reader can probably see this The remaining five chapters are designed better by a quick browse through the book. to complete the coverage of all background “This book revives and vastly expands the Representation theory is simple to define: necessary for passing PhD qualifying exams classical theory of resultants and discrimi- it is the study of the ways in which a given in complex analysis. Topics studied in the nants. Most of the main new results of the group may act on vector spaces. It is almost book include Julia sets and the Mandelbrot book have been published earlier in more certainly unique, however, among such set, Dirichlet series and the prime than a dozen joint papers of the authors. [...] clearly delineated subjects, in the breadth number theorem, and the uniformization of its interest to mathematicians. [...] theorem for Riemann surfaces. [...] 1994. X, 523 p. 8 illus. (Modern Birkhäuser Classics) Softcover 2004. XV, 551 p. (Graduate Texts in 2001. XVIII, 478 p. 18 illus. (Undergraduate € (D) 42,75 | € (A) 43,95 | *CHF 57.50 Mathematics, Volume 129) Softcover Texts in Mathematics) Softcover € 39,95 | £ 35,99 € (D) 48,10 | € (A) 49,45 | *CHF 69.00 € (D) 48,10 | € (A) 49,45 | *CHF 70.00 € 44,95 | £ 40,99 € 44,95 | £ 39,99 Yellow Sale Price € (D) 21,39 | € (A) 21,99 | *CHF 22.00 Yellow Sale Price Yellow Sale Price € 19,99 | £ 14,99 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 978-0-8176-4770-4 € 24,99 | £ 18,99 € 24,99 | £ 18,99 978-0-387-97495-8 978-0-387-95069-3 ,!7IA8B7-gehhae! ,!7IA3I7-jhejfi! ,!7IA3I7-jfagjd!

T. W. Gamelin W. Gander, ETH, Zürich, Switzerland S. G. Georgiev, University of Sofia “St. Kliment Ohridski”, Sofia, Bulgaria Complex Analysis Learning MATLAB Theory of Distributions The book provides an introduction to This comprehensive and stimulating complex analysis for students with some introduction to Matlab, a computer language This book explains many fundamental ideas familiarity with complex numbers from now widely used for technical computing, on the theory of distributions. The theory high school. It conists of sixteen chapters. is based on an introductory course held at of partial differential equations is one of the The first eleven chapters are aimed at an Qian Weichang College, Shanghai University, synthetic branches of analysis that combines Upper Division undergraduate audience. in the fall of 2014. Teaching and learning ideas and methods from different fields The remaining five chapters are designed a substantial programming language of mathematics, ranging from functional to complete the coverage of all background aren’t always straightforward tasks. [...] analysis and harmonic analysis to differential necessary for passing PhD qualifying exams geometry and topology. This presents 2015. XIV, 149 p. 49 illus., 7 illus. in color. in complex analysis. Topics studied in the specific difficulties to those studying this (UNITEXT, Volume 95) Softcover book include Julia sets and the Mandelbrot field. This book, which consists of 10 chap- set, Dirichlet series and the prime € (D) 42,79 | € (A) 43,99 | *CHF 44.00 ters, is suitable for upper undergraduate/ number theorem, and the uniformization € 39,99 | £ 29,99 graduate students and mathematicians theorem for Riemann surfaces. [...] Yellow Sale Price seeking an accessible introduction to some aspects of the theory of distributions. [...] 2001. XVIII, 478 p. 18 illus. (Undergraduate € (D) 21,39 | € (A) 21,99 | *CHF 22.00 Texts in Mathematics) Hardcover € 19,99 | £ 14,99 2015. VIII, 218 p. Softcover € (D) 90,90 | € (A) 93,45 | *CHF 122.00 978-3-319-25326-8 € (D) 42,79 | € (A) 43,99 | *CHF 45.50 € 84,95 | £ 67,99 € 39,99 | £ 35,99 Yellow Sale Price ,!7ID3B9-cfdcgi! Yellow Sale Price € (D) 46,00 | € (A) 47,29 | *CHF 47.50 € (D) 21,39 | € (A) 21,99 | *CHF 22.00 € 42,99 | £ 31,99 € 19,99 | £ 14,99 978-0-387-95093-8 978-3-319-19526-1 ,!7IA3I7-jfajdi! ,!7ID3B9-bjfcgb!

28 springer.com | English Titles Yellow Sale 2017

H. U. Gerber S. Givant, Mills College Dept. Mathematics, R. Godement, Paris, France Oakland, CA, USA; P. Halmos, Los Gatos, CA, Life Insurance Mathematics USA Analysis I From the reviews: “The highly esteemed Introduction to Boolean Algebras Functions in R and C, including the theory 1990 first edition of this book now appears of Fourier series, Fourier integrals and in a much expanded second edition. The 2009. XIV, 574 p. 10 illus. (Undergraduate part of that of holomorphic functions, difference between the first two English Texts in Mathematics) Hardcover form the focal topic of these two volumes. editions is entirely due to the addition of € (D) 45,96 | € (A) 47,25 | *CHF 62.00 Based on a course given by the author numerous exercises. The result is a truly € 42,95 | £ 38,99 to large audiences at Paris VII University excellent book, balancing ideally between for many years, the exposition proceeds theory and practice. As already hinted at Yellow Sale Price somewhat nonlinearly, blending rigorous above, this book provides the ideal bridge € (D) 21,39 | € (A) 21,99 | *CHF 22.00 mathematics skilfully with didactical and between the classical (deterministic) life € 19,99 | £ 14,99 historical considerations. It sets out to insurance theory and the emerging dynamic 978-0-387-40293-2 illustrate the variety of possible approaches models based on stochastic processes to the main results, in order to initiate and the modern theory of finance. [...] ,!7IA3I7-eacjdc! the reader to methods, the underlying reasoning, and fundamental ideas. [...] 3rd ed. 1997. XVII, 217 p. (1+2-Pferdchen) Hardcover 2004. XXI, 430 p. 1 illus. (Universitext) € (D) 53,45 | € (A) 54,95 | *CHF 72.00 Softcover € 49,95 | £ 44,99 € (D) 53,45 | € (A) 54,95 | *CHF 72.00 € 49,95 | £ 44,99 Yellow Sale Price € (D) 26,74 | € (A) 27,49 | *CHF 27.50 Yellow Sale Price € 24,99 | £ 18,99 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 978-3-540-62242-0 € 24,99 | £ 18,99 978-3-540-05923-3 ,!7ID5E0-gcceca! ,!7ID5E0-afjcdd!

D. Gilbarg; N. S. Trudinger P. Glasserman R. Godement, Paris, France Elliptic Partial Differential Monte Carlo Methods in Analysis II Equations of Second Order Financial Engineering Functions in R and C, including the theory From the reviews: “This is a book of interest Monte Carlo simulation has become an of Fourier series, Fourier integrals and to any having to work with differential essential tool in the pricing of derivative part of that of holomorphic functions, equations, either as a reference or as a book securities and in risk management. These form the focal topic of these two volumes. to learn from. The authors have taken trou- applications have, in turn, stimulated Based on a course given by the author ble to make the treatment self-contained. research into new Monte Carlo methods to large audiences at Paris VII University It (is) suitable required reading for a PhD and renewed interest in some older for many years, the exposition proceeds student. Although the material has been techniques. This book develops the use of somewhat nonlinearly, blending rigorous developed from lectures at Stanford, it Monte Carlo methods in finance and it also mathematics skilfully with didactical and has developed into an almost systematic uses simulation as a vehicle for presenting historical considerations. It sets out to coverage that is much longer than could models and ideas from financial engineering. illustrate the variety of possible approaches be covered in a year’s lectures”. [...] It divides roughly into three parts. [...] to the main results, in order to initiate the reader to methods, the underlying 2nd ed. 2001. XIII, 518 p. (Classics in 2003. XIII, 596 p. 4 illus. (Stochastic Modelling reasoning, and fundamental ideas. [...] Mathematics) Softcover and Applied Probability, Volume 53) 2005. VII, 448 p. 20 illus. (Universitext) € (D) 53,49 | € (A) 54,99 | *CHF 56.50 Hardcover Softcover € 49,99 | £ 44,99 € (D) 58,80 | € (A) 60,45 | *CHF 86.50 € 54,95 | £ 49,99 € (D) 53,45 | € (A) 54,95 | *CHF 72.00 Yellow Sale Price € 49,95 | £ 44,99 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 Yellow Sale Price € 24,99 | £ 18,99 € (D) 28,88 | € (A) 29,69 | *CHF 30.00 Yellow Sale Price € (D) 26,74 | € (A) 27,49 | *CHF 27.50 978-3-540-41160-4 € 26,99 | £ 19,99 € 24,99 | £ 18,99 978-0-387-00451-8 ,!7ID5E0-ebbgae! 978-3-540-20921-8 ,!7IA3I7-aaefbi! ,!7ID5E0-cajcbi!

29 Yellow Sale 2017 springer.com | English Titles

R. Godement, Paris, France C. Godsil; G. F. Royle P. G. Goerss, Northwestern University Dept. Mathematics, Evanston, IL, USA; J. F. Jardine, Analysis III Algebraic Graph Theory University of Western Ontario Mathematics Department, London, ON, Canada Volume III sets out classical Cauchy 2001. XIX, 443 p. (Graduate Texts in theory. It is much more geared towards its Mathematics, Volume 207) Hardcover Simplicial Homotopy Theory innumerable applications than towards a € (D) 86,62 | € (A) 89,05 | *CHF 125.50 more or less complete theory of analytic € 80,95 | £ 72,50 Since the beginning of the modern era of functions. Cauchy-type curvilinear integrals algebraic topology, simplicial methods have are then shown to generalize to any Yellow Sale Price been used systematically and effectively for number of real variables (differential forms, € (D) 42,79 | € (A) 43,99 | *CHF 44.00 both computation and basic theory. With Stokes-type formulas). The fundamentals € 39,99 | £ 29,99 the development of Quillen’s concept of a of the theory of manifolds are then 978-0-387-95241-3 closed model category and, in particular, a presented, mainly to provide the reader simplicial model category, this collection of with a “canonical’’ language and with some ,!7IA3I7-jfcebd! methods has become the primary way to important theorems (change of variables describe non-abelian homological algebra in integration, differential equations). [...] and to address homotopy-theoretical issues in a variety of fields, including algebraic 2015. VII, 321 p. 25 illus. (Universitext) K-theory. This book supplies a modern Softcover exposition of these ideas, emphasizing € (D) 64,19 | € (A) 65,99 | *CHF 80.00 model category theoretical techniques. [...] € 59,99 | £ 39,99 2009. XVI, 510 p. (Modern Birkhäuser Classics) Yellow Sale Price Softcover ( ) | ( ) | € D 32,09 € A 32,99 *CHF 33.00 € (D) 64,19 | € (A) 65,99 | *CHF 68.00 | € 29,99 £ 22,99 € 59,99 | £ 53,99 978-3-319-16052-8 Yellow Sale Price € (D) 32,09 | € (A) 32,99 | *CHF 33.00 ,!7ID3B9-bgafci! € 29,99 | £ 22,99 978-3-0346-0188-7 ,!7ID0D4-gabiih!

R. Godement, Paris, France C. Godsil; G. F. Royle D. Goldrei, Open University in the South Faculty of Mathematics and Computing, Analysis IV Algebraic Graph Theory Oxford, UK Analysis Volume IV introduces the reader 2001. XIX, 443 p. (Graduate Texts in Propositional and Predicate to functional analysis (integration, Hilbert Mathematics, Volume 207) Softcover Calculus: A Model of Argument spaces, harmonic analysis in group theory) € (D) 42,75 | € (A) 43,95 | *CHF 63.50 and to the methods of the theory of mod- € 39,95 | £ 36,99 At the heart of the justification for the ular functions (theta and L series, elliptic reasoning used in modern mathematics functions, use of the Lie algebra of SL2). As Yellow Sale Price lies the completeness theorem for in volumes I to III, the inimitable style of the € (D) 21,39 | € (A) 21,99 | *CHF 22.00 predicate calculus. This unique textbook author is recognizable here too, not only € 19,99 | £ 14,99 covers two entirely different ways because of his refusal to write in the compact 978-0-387-95220-8 of looking at such reasoning. [...] style used nowadays in many textbooks. [...] 2005. VIII, 315 p. Softcover 2015. XI, 527 p. 4 illus. (Universitext) Softcover ,!7IA3I7-jfccai! € (D) 42,75 | € (A) 43,95 | *CHF 57.50 € (D) 64,19 | € (A) 65,99 | *CHF 80.00 € 39,95 | £ 35,99 € 59,99 | £ 39,99 Yellow Sale Price Yellow Sale Price € (D) 21,39 | € (A) 21,99 | *CHF 22.00 € (D) 32,09 | € (A) 32,99 | *CHF 33.00 € 19,99 | £ 14,99 € 29,99 | £ 22,99 978-1-85233-921-0 978-3-319-16906-4 ,!7ID3B9-bgjage! ,!7IB8F2-ddjcba!

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J. Gomes, BOZANO Investimentos, Rio R. Goodman, Rutgers University B. Goodwine, University of Notre Dame de Janeiro, Brazil; L. Velho, Instituto de Dept. Mathematics, Piscataway, NJ, Department of Aerospace and Mechanical E, Matemática Pura e Aplicada, Rio de Janeiro, USA; N. R. Wallach, University of California, Notre Dame, IN, USA Brazil San Diego Dept. Mathematics, La Jolla, CA, USA Engineering Differential From Fourier Analysis Equations to Wavelets Symmetry, Representations, and Invariants This book is a comprehensive treatment This text introduces the basic concepts of of engineering undergraduate differential function spaces and operators, both from Symmetry is a key ingredient in many equations as well as linear vibrations and the continuous and discrete viewpoints. mathematical, physical, and biological feedback control. While this material has Fourier and Window Fourier Transforms are theories. Using representation theory and traditionally been separated into different introduced and used as a guide to arrive invariant theory to analyze the symmetries courses in undergraduate engineering at the concept of Wavelet transform. The that arise from group actions, and with curricula. This text provides a streamlined fundamental aspects of multiresolution strong emphasis on the geometry and and efficient treatment of material normally representation, and its importance to func- basic theory of Lie groups and Lie algebras, covered in three courses. Ultimately, tion discretization and to the construction Symmetry, Representations, and Invariants engineering students study mathematics of wavelets is also discussed. Emphasis is is a significant reworking of an earlier in order to be able to solve problems given on ideas and intuition, avoiding the highly-acclaimed work by the authors. [...] within the engineering realm. [...] heavy computations which are usually 2009. XX, 716 p. 10 illus. (Graduate Texts in 2011. XIX, 745 p. Hardcover involved in the study of wavelets. [...] Mathematics, Volume 255) Hardcover € (D) 74,85 | € (A) 76,95 | *CHF 100.50 2015. XIII, 210 p. 77 illus. (IMPA Monographs, € (D) 64,15 | € (A) 65,95 | *CHF 86.00 € 69,95 | £ 62,99 Volume 3) Hardcover € 59,95 | £ 53,99 € (D) 74,89 | € (A) 76,99 | *CHF 79.00 Yellow Sale Price ( ) | ( ) | € 69,99 | £ 62,99 Yellow Sale Price € D 37,44 € A 38,49 *CHF 38.50 € (D) 32,09 | € (A) 32,99 | *CHF 33.00 € 34,99 | £ 26,99 Yellow Sale Price € 29,99 | £ 22,99 978-1-4419-7918-6 € (D) 37,44 | € (A) 38,49 | *CHF 38.50 978-0-387-79851-6 € 34,99 | £ 26,99 ,!7IB4E1-jhjbig! 978-3-319-22074-1 ,!7IA3I7-hjifbg! ,!7ID3B9-ccaheb!

E. A. González-Velasco, University of C. Goodrich, Creighton Preparatory School, H. Grant, Department of Mathematics Massachusetts at Lowell, Lowell, MA, USA Omaha, NE, USA; A. C. Peterson, University and Statistics York University, Toronto, of Nebraska-Lincoln, Lincoln, NE, USA ON; I. Kleiner, Department of Mathematics Journey through Mathematics and Statistics York University, Toronto, ON Discrete Fractional Calculus This book offers an accessible and Turning Points in the in-depth look at some of the most This text provides the first comprehensive History of Mathematics important episodes of two thousand years treatment of the discrete fractional calculus. of mathematical history. Beginning with Experienced researchers will find the text This book explores some of the major trigonometry and moving on through useful as a reference for discrete fractional turning points in the history of mathematics, logarithms, complex numbers, infinite series, calculus and topics of current interest. ranging from ancient Greece to the present, and calculus, this book profiles some of Students who are interested in learning demonstrating the drama that has often the lesser known but crucial contributors about discrete fractional calculus will find been a part of its evolution. Studying to modern day mathematics. It is unique this text to provide a useful starting point. these breakthroughs, transitions, and in its use of primary sources as well as its Several exercises are offered at the end revolutions, their stumbling-blocks and accessibility; a knowledge of first-year of each chapter and select answers have their triumphs, can help illuminate the calculus is the only prerequisite. [...] been provided at the end of the book. [...] importance of the history of mathematics for 2011. XI, 466 p. Hardcover 2015. XIII, 556 p. Hardcover its teaching, learning, and appreciation. [...] € (D) 93,08 | € (A) 95,69 | *CHF 96.00 € (D) 53,49 | € (A) 54,99 | *CHF 55.00 2015. IX, 109 p. 51 illus., 13 illus. in color. € 86,99 | £ 64,99 € 49,99 | £ 37,99 (Compact Textbooks in Mathematics) Softcover Yellow Sale Price Yellow Sale Price € (D) 42,79 | € (A) 43,99 | *CHF 44.00 € (D) 46,00 | € (A) 47,29 | *CHF 47.50 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 € 39,99 | £ 29,99 € 42,99 | £ 31,99 € 24,99 | £ 18,99 978-0-387-92153-2 978-3-319-25560-6 Yellow Sale Price € (D) 21,39 | € (A) 21,99 | *CHF 22.00 ,!7IA3I7-jcbfdc! ,!7ID3B9-cffgag! € 19,99 | £ 14,99 978-1-4939-3263-4 ,!7IB4J3-jdcgde!

31 Yellow Sale 2017 springer.com | English Titles

G. Grätzer, University of Manitoba Dept. Z. Grbac, Université Paris–Diderot (Paris D. F. Griffiths, University of Dundee, Mathematics, Winnipeg, MB, Canada 7), Paris Cedex 13, France; W. Runggaldier, Fife; J. W. Dold, The University of University of Padova, Padova, Italy Manchester, Manchester; D. J. Silvester, The Lattice Theory: Foundation University of Manchester, Manchester, UK Interest Rate Modeling: This book started with Lattice Theory, First Post-Crisis Challenges Essential Partial Concepts, in 1971. Then came General Lattice Differential Equations Theory, First Edition, in 1978, and the Second and Approaches Edition twenty years later. Since the publi- Filling a gap in the literature caused by the This volume provides an introduction to the cation of the first edition in 1978, General recent financial crisis, this book provides analytical and numerical aspects of partial Lattice Theory has become the authoritative a treatment of the techniques needed to differential equations (PDEs). It unifies an introduction to lattice theory for graduate model and evaluate interest rate derivatives analytical and computational approach for students and the standard reference for according to the new paradigm for fixed these; the qualitative behaviour of solutions researchers. The First Edition set out to income markets. Concerning this new being established using classical concepts: introduce and survey lattice theory. [...] development, there presently exist only maximum principles and energy methods. 2011. XXX, 614 p. Softcover research articles and two books, one of them Notable inclusions are the treatment of irreg- ularly shaped boundaries, polar coordinates € (D) 69,50 | € (A) 71,45 | *CHF 93.50 an edited volume, both being written by researchers working mainly in practice. [...] and the use of flux-limiters when approxi- € 64,95 | £ 58,99 mating hyperbolic conservation laws. [...] 2015. XIII, 140 p. 5 illus., 1 illus. in color. Yellow Sale Price (SpringerBriefs in Quantitative Finance) 2015. XI, 368 p. 106 illus., 1 illus. in color. € (D) 37,44 | € (A) 38,49 | *CHF 38.50 Softcover (Springer Undergraduate Mathematics € 34,99 | £ 26,99 Series) Softcover € (D) 53,49 | € (A) 54,99 | *CHF 55.00 978-3-0348-0017-4 € 49,99 | £ 37,99 € (D) 37,44 | € (A) 38,49 | *CHF 38.50 € 34,99 | £ 24,99 ,!7ID0D4-iaabhe! Yellow Sale Price € (D) 26,74 | € (A) 27,49 | *CHF 27.50 Yellow Sale Price € 24,99 | £ 18,99 € (D) 18,18 | € (A) 18,69 | *CHF 19.00 € 16,99 | £ 12,99 978-3-319-25383-1 978-3-319-22568-5 ,!7ID3B9-cfdidb! ,!7ID3B9-ccfgif!

J. Gray, The Open University, Milton Keynes, P. E. Greenwood, University of British D. F. Griffiths, University of Dundee, Dundee, UK Columbia , VANCOUVER, ; L. M. Ward, UK; D. J. Higham, University of Strathclyde University of British Columbia , VANCOUVER, Dept. Mathematics, Glasgow, UK The Real and the Complex: A History of Analysis in Stochastic Neuron Models Numerical Methods for Ordinary Differential Equations the 19th Century This book describes a large number of This book contains a history of real and open problems in the theory of stochastic Numerical Methods for Ordinary Differential complex analysis in the nineteenth century, neural systems, with the aim of enticing Equations is a self-contained introduction from the work of Lagrange and Fourier to probabilists to work on them. This includes to a fundamental field of numerical analysis the origins of set theory and the modern problems arising from stochastic models and scientific computation. Written for foundations of analysis. It studies the works of individual neurons as well as those undergraduate students with a mathemat- of many contributors including Gauss, arising from stochastic models of the ical background, this book focuses on the Cauchy, Riemann, and Weierstrass. This activities of small and large networks of analysis of numerical methods without book is unique owing to the treatment of interconnected neurons. The necessary losing sight of the practical nature of the real and complex analysis as overlapping, neuroscience background to these problems subject. It covers the topics traditionally inter-related subjects, in keeping with is outlined within the text, so readers can treated in a first course, but also highlights how they were seen at the time. [...] grasp the context in which they arise. [...] new and emerging themes. Chapters are broken down into `lecture’ sized pieces, 2015. XVI, 350 p. 71 illus. (Springer 2016. X, 75 p. 25 illus., 12 illus. in color. (Mathematical Biosciences Institute Lecture motivated and illustrated by numerous Undergraduate Mathematics Series) theoretical and computational examples. [...] Softcover Series, Volume 1.5) Softcover 2010. XIV, 271 p. 69 illus. (Springer € (D) 37,44 | € (A) 38,49 | *CHF 38.50 € (D) 53,49 | € (A) 54,99 | *CHF 55.00 Undergraduate Mathematics Series) € 34,99 | £ 24,99 € 49,99 | £ 37,99 Softcover Yellow Sale Price Yellow Sale Price | | € (D) 37,40 | € (A) 38,45 | *CHF 47.00 € (D) 18,18 | € (A) 18,69 | *CHF 19.00 € (D) 37,44 € (A) 38,49 *CHF 38.50 | € 34,95 | £ 24,95 € 16,99 | £ 12,99 € 34,99 £ 26,99 Yellow Sale Price 978-3-319-23714-5 978-3-319-26909-2 € (D) 18,18 | € (A) 18,69 | *CHF 19.00 ,!7ID3B9-cgjajc! € 16,99 | £ 12,99 ,!7ID3B9-cdhbef! 978-0-85729-147-9 ,!7IA8F7-cjbehj! 32 springer.com | English Titles Yellow Sale 2017

E. Grigorieva, Texas Woman’s University, K. Guo, Fudan University, Shanghai, P. Guyenne, University of Delaware, Newark, Denton, TX, USA China; H. Huang, East China University of DE, USA; D. Nicholls, University of Illinois Science and Technology, Shanghai, China at Chicago, Chicago, IL, USA; C. Sulem, Methods of Solving University of Toronto, Toronto, ON, Canada Nonstandard Problems Multiplication Operators (Eds) on the Bergman Space This book, written by an accomplished Hamiltonian Partial Differential female mathematician, is the second to This book deals with various aspects of Equations and Applications explore nonstandard mathematical prob- commutants and reducing subspaces of lems – those that are not directly solved by multiplication operators on the Bergman This book is a unique selection of work standard mathematical methods but instead space, along with relevant von Neumann by world-class experts exploring the rely on insight and the synthesis of a variety algebras generated by these operators, latest developments in Hamiltonian partial of mathematical ideas. It promotes mental which have been the focus of considerable differential equations and their applications. activity as well as greater mathematical attention from the authors and other Topics covered within are representative skills, and is an ideal resource for successful experts in recent years. The book reviews of the field’s wide scope, including KAM preparation for the mathematics Olympiad. past developments and offers insights and normal form theories, perturbation Numerous strategies and techniques into cutting-edge developments in the and variational methods, integrable are presented that can be used to solve study of multiplication operators. It also systems, stability of nonlinear solutions intriguing and challenging problems of provides commentary and comparisons as well as applications to cosmology, the type often found in competitions. [...] to stimulate research in this area. fluid mechanics and water waves. [...] 2015. XXI, 327 p. 11 illus., 2 illus. in color. 2015. VIII, 322 p. 11 illus., 1 illus. in color. 2015. X, 449 p. 47 illus., 19 illus. in color. Hardcover (Lecture Notes in Mathematics, Volume 2145) (Fields Institute Communications, Volume 75) € (D) 42,79 | € (A) 43,99 | *CHF 45.50 Softcover Hardcover € 39,99 | £ 35,99 € (D) 48,14 | € (A) 49,49 | *CHF 51.00 € (D) 101,64 | € (A) 104,49 | *CHF 107.00 € 44,99 | £ 40,99 € 94,99 | £ 85,50 Yellow Sale Price € (D) 21,39 | € (A) 21,99 | *CHF 22.00 Yellow Sale Price Yellow Sale Price € 19,99 | £ 14,99 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 € (D) 58,84 | € (A) 60,49 | *CHF 60.50 978-3-319-19886-6 € 24,99 | £ 18,99 € 54,99 | £ 40,99 978-3-662-46844-9 978-1-4939-2949-8 ,!7ID3B9-bjiigg! ,!7ID6G2-egieej! ,!7IB4J3-jcjeji!

F. A. Grünbaum, University of California, S. J. Gustafson, University of British W. Hackbusch, MPI für Mathematik in den, Berkeley, CA, USA; P. van Moerbeke, Columbia Dept. Mathematics, Vancouver, Leipzig, Germany Universit_e catholique de Louvain, Louvain- BC, Canada; I. M. Sigal, University of Toronto, la-Neuve, Belgium, & Brandeis University, Toronto, ON, Canada Hierarchical Matrices: Waltham, MA, USA; V. H. Moll, Tulane Algorithms and Analysis University, New Orleans, LA, USA (Eds) Mathematical Concepts of Quantum Mechanics This self-contained monograph presents Henry P. McKean Jr. Selecta matrix algorithms and their analysis. The book gives a streamlined introduction The new technique enables not only the This volume presents a selection of papers to quantum mechanics while describing solution of linear systems but also the by Henry P. McKean, which illustrate the the basic mathematical structures approximation of matrix functions, e.g., various areas in mathematics in which underpinning this discipline. Starting with the matrix exponential. Other applications he has made seminal contributions. an overview of key physical experiments include the solution of matrix equations, Topics covered include probability theory, illustrating the origin of the physical e.g., the Lyapunov or Riccati equation. The integrable systems, geometry and financial foundations, the book proceeds with required mathematical background can mathematics. Each paper represents a a description of the basic notions of be found in the appendix. The numerical contribution by Prof. McKean, either alone or quantum mechanics and their mathematical treatment of fully populated large-scale together with other researchers, that has had content. It then makes its way to topics of matrices is usually rather costly. [...] a profound influence in the respective area. current interest, specifically those in which 2015. XXV, 511 p. 87 illus., 27 illus. in mathematics plays an important role. [...] 2015. VII, 418 p. 59 illus. (Contemporary color. (Springer Series in Computational Mathematicians) Hardcover 2nd ed. 2011. XIII, 382 p. 37 illus. Mathematics, Volume 49) Hardcover € (D) 105,93 | € (A) 108,90 | *CHF 109.00 (Universitext) Softcover € (D) 117,69 | € (A) 120,99 | *CHF 121.00 € 99,00 | £ 74,00 € (D) 64,15 | € (A) 65,95 | *CHF 86.00 € 109,99 | £ 82,00 € 59,95 | £ 53,99 Yellow Sale Price Yellow Sale Price € (D) 58,84 | € (A) 60,49 | *CHF 60.50 Yellow Sale Price € (D) 64,19 | € (A) 65,99 | *CHF 66.00 € 54,99 | £ 40,99 € (D) 32,09 | € (A) 32,99 | *CHF 33.00 € 59,99 | £ 44,99 978-3-319-22236-3 € 29,99 | £ 22,99 978-3-662-47323-8 ,!7ID3B9-cccdgd! 978-3-642-21865-1 ,!7ID6E2-cbigfb! ,!7ID6G2-ehdcdi!

33 Yellow Sale 2017 springer.com | English Titles

P. Hackney, Stockholm University, B. C. Hall, University of Notre Dame, Notre E. Häusler, University of Giessen, Giessen, Stockholm, Sweden; M. Robertson, Dame, IN, USA Germany; H. Luschgy, University of Trier, University of California, Los Angeles, CA, Trier, Germany USA; D. Yau, Ohio State University, Newark Quantum Theory for Campus, Newark, OH, USA Mathematicians Stable Convergence and Stable Limit Theorems Infinity Properads and Infinity Although ideas from quantum physics Wheeled Properads play an important role in many parts The authors present a concise but complete of modern mathematics, there are few exposition of the mathematical theory The topic of this book sits at the interface books about quantum mechanics aimed of stable convergence and give various of the theory of higher categories (in the at mathematicians. This book introduces applications in different areas of probability guise of (∞,1)-categories) and the theory the main ideas of quantum mechanics in theory and mathematical statistics to of properads. Properads are devices more language familiar to mathematicians. [...] illustrate the usefulness of this concept. general than operads and enable one to Stable convergence holds in many limit 2013. XVI, 554 p. (Graduate Texts in encode bialgebraic, rather than just (co) theorems of probability theory and statistics Mathematics, Volume 267) Hardcover algebraic, structures. The text extends – such as the classical central limit theorem both the Joyal-Lurie approach to higher € (D) 74,89 | € (A) 76,99 | *CHF 93.50 – which are usually formulated in terms of categories and the Cisinski-Moerdijk-Weiss € 69,99 | £ 62,99 convergence in distribution. Originated by approach to higher operads, and provides Yellow Sale Price Alfred Rényi, the notion of stable conver- a foundation for a broad study of the € (D) 37,44 | € (A) 38,49 | *CHF 38.50 gence is stronger than the classical weak homotopy theory of properads. [...] € 34,99 | £ 26,99 convergence of probability measures. [...] 2015. XV, 358 p. 213 illus. (Lecture Notes in 978-1-4614-7115-8 2015. X, 228 p. (Probability Theory and Mathematics, Volume 2147) Softcover Stochastic Modelling, Volume 74) Hardcover € (D) 74,89 | € (A) 76,99 | *CHF 79.00 ,!7IB4G1-ehbbfi! € (D) 74,89 | € (A) 76,99 | *CHF 79.00 € 69,99 | £ 62,99 € 69,99 | £ 62,99 Yellow Sale Price Yellow Sale Price € (D) 37,44 | € (A) 38,49 | *CHF 38.50 € (D) 37,44 | € (A) 38,49 | *CHF 38.50 € 34,99 | £ 26,99 € 34,99 | £ 26,99 978-3-319-20546-5 978-3-319-18328-2 ,!7ID3B9-cafegf! ,!7ID3B9-bidcic!

B. Hall, University of Notre Dame, Notre R. Hartshorne, Department of Mathematics D. Hestenes, Arizona State University, Dame, IN, USA University of California at Berkeley, Berkeley, Tempe, AZ, USA CA, USA Lie Groups, Lie Algebras, Space-Time Algebra and Representations Geometry: Euclid and Beyond This small book started a profound revolu- This textbook treats Lie groups, Lie In recent years, I have been teaching a tion in the development of mathematical algebras and their representations in an junior-senior-level course on the classi cal physics, one which has reached many elementary but fully rigorous fashion geometries. This book has grown out of working physicists already, and which requiring minimal prerequisites. In particular, that teaching experience. I assume only stands poised to bring about far-reaching the theory of matrix Lie groups and their high-school geometry and some abstract change in the future. At its heart is the Lie algebras is developed using only algebra. The course begins in Chapter 1 with use of Clifford algebra to unify otherwise linear algebra, and more motivation and a critical examination of Euclid’s Elements. disparate mathematical languages, intuition for proofs is provided than in Students are expected to read concurrently particularly those of spinors, quaternions, most classic texts on the subject. [...] Books I-IV of Euclid’s text, which must be tensors and differential forms. [...] obtained sepa rately. The remainder of the 2nd ed. 2015. XXIV, 102 p. 2nd ed. 2015. XIII, 451 p. 79 illus. (Graduate book is an exploration of questions that (Wissenschaftsprogramm nur Texts in Mathematics, Volume 222) arise natu rally from this reading, together englisch(Birkhäuser)) Hardcover Hardcover with their modern answers. To shore up the € (D) 64,19 | € (A) 65,99 | *CHF 68.00 foundations we use Hilbert’s axioms. [...] € (D) 74,89 | € (A) 76,99 | *CHF 79.00 € 59,99 | £ 53,99 € 69,99 | £ 62,99 2000. XII, 528 p. (Undergraduate Texts in Yellow Sale Price Mathematics) Hardcover Yellow Sale Price ( ) | ( ) | € (D) 32,09 | € (A) 32,99 | *CHF 33.00 € (D) 53,45 | € (A) 54,95 | *CHF 77.50 € D 37,44 € A 38,49 *CHF 38.50 | € 29,99 | £ 22,99 € 49,95 | £ 44,99 € 34,99 £ 26,99 978-3-319-13466-6 978-3-319-18412-8 Yellow Sale Price € (D) 26,74 | € (A) 27,49 | *CHF 27.50 ,!7ID3B9-bdeggg! € 24,99 | £ 18,99 ,!7ID3B9-biebci! 978-0-387-98650-0 ,!7IA3I7-jigfaa!

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J. S. Hesthaven, Ecole Polytechnique M. Hindry; J. H. Silverman, Brown University J. Hirschfeld, University of Sussex, Brighton, Fédérale de Lausanne EPFL, Lausanne, Department of Mathematics, Providence, RI, UK; J. A. Thas, Ghent University, Gent, Switzerland; G. Rozza, International USA Belgium School for Advanced Studies, Trieste, Italy; B. Stamm, Sorbonne Universités, UPMC Diophantine Geometry General Galois Geometries Univ Paris 06, CNRS, Paris Cedex 05, France This is an introduction to diophantine This book is the second edition of the third Certified Reduced Basis geometry at the advanced graduate level. and last volume of a treatise on projective Methods for Parametrized The book contains a proof of the Mordell spaces over a finite field, also known as conjecture which will make it quite attractive Galois geometries. This volume completes Partial Differential Equations to graduate students and professional the trilogy comprised of plane case (first This book provides a thorough introduction mathematicians. In each part of the book, volume) and three dimensions (second to the mathematical and algorithmic the reader will find numerous exercises. volume). This revised edition includes much updating and new material. It is a aspects of certified reduced basis methods 2000. XIII, 561 p. (Graduate Texts in mostly self-contained study of classical for parametrized partial differential Mathematics, Volume 201) Hardcover equations. Central aspects ranging from varieties over a finite field, related incidence € (D) 79,13 | € (A) 81,35 | *CHF 116.50 structures and particular point sets in finite model construction, error estimation and € 73,95 | £ 66,99 computational efficiency to empirical n-dimensional projective spaces. [...] interpolation methods are discussed Yellow Sale Price 2016. XVII, 409 p. 4 illus. in color. (Springer in detail for coercive problems. [...] € (D) 37,44 | € (A) 38,49 | *CHF 38.50 Monographs in Mathematics) Hardcover € 34,99 | £ 26,99 2016. XIII, 131 p. 32 illus., 27 illus. in color. € (D) 101,64 | € (A) 104,49 | *CHF 104.50 (SpringerBriefs in Mathematics) Softcover 978-0-387-98975-4 € 94,99 | £ 71,00 € (D) 53,49 | € (A) 54,99 | *CHF 56.50 Yellow Sale Price € 49,99 | £ 44,99 ,!7IA3I7-jijhfe! € (D) 69,54 | € (A) 71,49 | *CHF 71.50 Yellow Sale Price € 64,99 | £ 48,99 € (D) 37,44 | € (A) 38,49 | *CHF 38.50 978-1-4471-6788-4 € 34,99 | £ 26,99 978-3-319-22469-5 ,!7IB4E7-bghiie! ,!7ID3B9-ccegjf!

J. S. Hesthaven, Brown University, M. Hindry, ; J. H. Silverman, Brown W. Hochstättler, Fernuniversität Hagen FB Providence, RI, USA; T. Warburton, Rice University Department of Mathematics, Mathematik, Hagen, Germany; A. Schliep, University Dept. Computational &, Houston, Providence, RI, USA Max-Planck-Gesellschaft Molekulare Genetik, TX, USA Berlin, Germany Diophantine Geometry Nodal Discontinuous CATBox Galerkin Methods This is an introduction to diophantine geometry at the advanced graduate level. Graph algorithms are easy to visualize and Mathematicsisplayinganevermoreimpor- The book contains a proof of the Mordell indeed there already exists a variety of tantroleinthephysicalandbiol- ical sciences, conjecture which will make it quite attractive packages to animate the dynamics when provoking a blurring of boundaries between to graduate students and professional solving problems from graph theory. Still c disciplines and a resurgence of interest mathematicians. In each part of the book, it can be difficult to understand the ideas in the modern as well as the classical tech- the reader will find numerous exercises. behind the algorithm from the dynamic display alone. CATBox consists of a software niques of applied mathematics. This renewal 2000. XIII, 561 p. (Graduate Texts in system for animating graph algorithms of interest, both in research and tea- ing, Mathematics, Volume 201) Softcover has led to the establishment of the series and a course book which we developed Texts in Applied Mathematics (TAM). [...] € (D) 52,38 | € (A) 53,85 | *CHF 75.00 simultaneously. The software system € 48,95 | £ 43,99 presents both the algorithm and the 2008. XIV, 502 p. (Texts in Applied graph and puts the user always in control Mathematics, Volume 54) Hardcover Yellow Sale Price € (D) 26,74 | € (A) 27,49 | *CHF 27.50 of the actual code that is executed. [...] € (D) 55,59 | € (A) 57,15 | *CHF 80.50 € 24,99 | £ 18,99 2010. XII, 190 p. 36 illus. Softcover € 51,95 | £ 46,99 978-0-387-98981-5 € (D) 53,45 | € (A) 54,95 | *CHF 72.00 Yellow Sale Price € 49,95 | £ 44,99 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 ,!7IA3I7-jijibf! € 24,99 | £ 18,99 Yellow Sale Price € (D) 26,74 | € (A) 27,49 | *CHF 27.50 978-0-387-72065-4 € 24,99 | £ 18,99 ,!7IA3I7-hcagfe! 978-3-540-14887-6 ,!7ID5E0-beiihg!

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H. Hofer, Institute for Advanced Study (IAS), M. H. Holmes, Rensselaer Polytechnic L. Hörmander, Lund, Sweden Princeton, NJ, USA; E. Zehnder, ETH Zürich, Institute Academic Science of the Material, Zürich, Switzerland Troy, NY, USA The Analysis of Linear Partial Differential Operators II Symplectic Invariants and Introduction to Hamiltonian Dynamics Perturbation Methods This volume is an expanded version of Chapters III, IV, V and VII of my 1963 book The discoveries of the last decades have This introductory graduate text is based on “Linear partial differential operators”. In opened new perspectives for the old a graduate course the author has taught addition there is an entirely new chapter on field of Hamiltonian systems and led to repeatedly over the last ten years to students convolution equations, one on scattering the creation of a new field: symplectic in applied mathematics, engineering theory, and one on methods from the theory topology. Surprising rigidity phenomena sciences, and physics. Each chapter begins of analytic functions of several complex demonstrate that the nature of symplectic with an introductory development involving variables. The latter is somewhat limited in mappings is very different from that ordinary differential equations, and goes on scope though since it seems superfluous to of volume preserving mappings. This to cover such traditional topics as boundary duplicate the monographs by Ehrenpreis raises new questions, many of them still layers and multiple scales. However, it and by Palamodov on this subject. [...] unanswered. On the other hand, analysis also contains material arising from current 2005. XI, 395 p. (Classics in Mathematics) of an old variational principle in classical research interest, including homogeni- Softcover mechanics has established global periodic sation, slender body theory, symbolic phenomena in Hamiltonian systems. As computing, and discrete equations. [...] € (D) 53,49 | € (A) 54,99 | *CHF 56.50 it turns out, these seemingly different € 49,99 | £ 44,99 2nd ed. 2013. XVIII, 438 p. (Texts in Applied phenomena are mysteriously related. [...] Mathematics, Volume 20) Hardcover Yellow Sale Price ( ) | ( ) | 2011. XIV, 341 p. 49 illus. (Modern Birkhäuser € (D) 64,15 | € (A) 65,95 | *CHF 80.00 € D 26,74 € A 27,49 *CHF 27.50 | Classics) Softcover € 59,95 | £ 53,99 € 24,99 £ 18,99 € (D) 64,15 | € (A) 65,95 | *CHF 86.00 978-3-540-22516-4 € 59,95 | £ 53,99 Yellow Sale Price € (D) 32,09 | € (A) 32,99 | *CHF 33.00 Yellow Sale Price € 29,99 | £ 22,99 ,!7ID5E0-ccfbge! € (D) 32,09 | € (A) 32,99 | *CHF 33.00 978-1-4614-5476-2 € 29,99 | £ 22,99 978-3-0348-0103-4 ,!7IB4G1-efehgc! ,!7ID0D4-iabade!

H. Holden, Norwegian University of L. Hörmander, Lund, Sweden L. Hörmander, Lund, Sweden Science and Technology, Trondheim, Norway; N. H. Risebro, University of Oslo, The Analysis of Linear Partial The Analysis of Linear Partial Oslo, Norway Differential Operators I Differential Operators III Front Tracking for Hyperbolic The main change in this edition is the inclu- From the reviews: “Volumes III and IV Conservation Laws sion of exercises with answers and hints. This complete L. Hörmander’s treatise on linear is meant to emphasize that this volume has partial differential equations. They constitute This is the second edition of a well-received been written as a general course in modern the most complete and up-to-date account book providing the fundamentals of the analysis on a graduate student level and not of this subject, by the author who has theory hyperbolic conservation laws. only as the beginning of a specialized course dominated it and made the most significant Several chapters have been rewritten, new in partial differen tial equations. In particular, contributions in the last decades.....It is a material has been added, in particular, a it could also serve as an introduction to superb book, which must be present in every chapter on space dependent flux functions harmonic analysis. Exercises are given mathematical library, and an indispensable and the detailed solution of the Riemann primarily to the sections of gen eral interest; tool for all - young and old - interested in the problem for the Euler equations. Hyperbolic there are none to the last two chapters. [...] theory of partial differential operators.” [...] conservation laws are central in the theory 2nd ed. 2003. XI, 440 p. (Classics in 2007. VIII, 525 p. (Classics in Mathematics) of nonlinear partial differential equations Mathematics) Softcover Softcover and in science and technology. [...] € (D) 53,49 | € (A) 54,99 | *CHF 56.50 € (D) 53,49 | € (A) 54,99 | *CHF 56.50 2nd ed. 2015. XIV, 517 p. 1240 illus. in color. € 49,99 | £ 44,99 € 49,99 | £ 44,99 (Applied Mathematical Sciences, Volume 152) Hardcover Yellow Sale Price Yellow Sale Price ( ) | ( ) | ( ) | ( ) | € (D) 74,89 | € (A) 76,99 | *CHF 79.00 € D 26,74 € A 27,49 *CHF 27.50 € D 26,74 € A 27,49 *CHF 27.50 | | € 69,99 | £ 62,99 € 24,99 £ 18,99 € 24,99 £ 18,99 978-3-540-00662-6 978-3-540-49937-4 Yellow Sale Price € (D) 37,44 | € (A) 38,49 | *CHF 38.50 € 34,99 | £ 26,99 ,!7ID5E0-aaggcg! ,!7ID5E0-ejjdhe! 978-3-662-47506-5 ,!7ID6G2-ehfagf!

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L. Hörmander, Lund, Sweden S. Huggett, University of Plymouth School of D. Huybrechts, Université Paris VII UFR de Mathematics & Statistics, Plymouth, Devon, Mathematiques, Paris CX 05, France The Analysis of Linear Partial UK; D. Jordan, Hull, UK Differential Operators IV Complex Geometry A Topological Aperitif From the reviews: “Volumes III and IV Complex geometry studies (compact) complete L. Hörmander’s treatise on linear Topologyhasbeenreferredtoas“rubber-sheet- complex manifolds. It discusses algebraic partial differential equations. They constitute geometry”.Thenameisapt,for the subject is as well as metric aspects. The subject is on the most complete and up-to-date account concerned with properties of an object that the crossroad of algebraic and differential of this subject, by the author who has would be preserved, no matter how much it geometry. Recent developments in string dominated it and made the most significant is stretched, squashed, or distorted, so long theory have made it an highly attractive contributions in the last decades.....It is a as it is not in any way torn apart or glued area, both for mathematicians and superb book, which must be present in every together. One’s rst reaction might be that theoretical physicists. The author’s goal is mathematical library, and an indispensable such animprecise-soundingsubjectcould- to provide an easily accessible introduction tool for all - young and old - interested in the hardlybepartofseriousmathematics,and to the subject. The book contains detailed theory of partial differential operators.” [...] wouldbeunlikelytohaveapplications- accounts of the basic concepts and the beyondtheamusementofsimpleparlour many exercises illustrate the theory. 2009. VII, 352 p. (Classics in Mathematics) games. This reaction could hardly be Appendices to various chapters allow an Softcover further from the truth. Topology is one of outlook to recent research directions. [...] € (D) 53,49 | € (A) 54,99 | *CHF 56.50 the most important and broad-ranging 2005. XII, 309 p. (Universitext) Softcover € 49,99 | £ 44,99 disciplines of modern mathematics. [...] € (D) 60,94 | € (A) 62,65 | *CHF 82.00 Yellow Sale Price 2nd ed. 2009. IX, 152 p. 135 illus. Softcover € 56,95 | £ 51,99 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 € (D) 28,84 | € (A) 29,65 | *CHF 39.00 € 24,99 | £ 18,99 € 26,95 | £ 16,99 Yellow Sale Price € (D) 32,09 | € (A) 32,99 | *CHF 33.00 978-3- 642- 00117-8 Yellow Sale Price € 29,99 | £ 22,99 € (D) 16,04 | € (A) 16,49 | *CHF 16.50 978-3-540-21290-4 ,!7ID6E2-aabbhi! € 14,99 | £ 11,99 978-1-84800-912-7 ,!7ID5E0-cbcjae! ,!7IB8E8-aajbch!

R. Hotta, Okayama University of Science E. Husserl, Dordrecht, Netherlands S. Ikeda, Tohoku University, Sendai, Fac. Sciences, Okayama, Japan; K. Takeuchi, Japan; M. Kotani, Miyagi University of Tsukuba, Tsukuba, Ibaraki, Philosophy of Arithmetic JapanT. Tanisaki, Osaka City University A New Direction in Mathematics In his first book, Philosophy of Arithmetic, Graduate School of Science, Osaka, Japan for Materials Science Edmund Husserl provides a carefully worked D-Modules, Perverse Sheaves, out account of number as a categorial or This book is the first volume of the and Representation Theory formal feature of the objective world, and SpringerBriefs in the Mathematics of of arithmetic as a symbolic technique for Materials and provides a comprehensive D-modules continues to be an active mastering the infinite field of numbers for guide to the interaction of mathematics area of stimulating research in such knowledge. It is a realist account of numbers with materials science. The anterior part mathematical areas as algebra, analysis, and number relations that interweaves of the book describes a selected history of differential equations, and representation them into the basic structure of the universe materials science as well as the interaction theory. Key to D-modules, Perverse and into our knowledge of reality. [...] between mathematics and materials in Sheaves, and Representation Theory is 2003. LXIV, 515 p. (Husserliana: Edmund history. The emergence of materials science the authors’ essential algebraic-analytic Husserl – Collected Works, Volume 10) was itself a result of an interdisciplinary approach to the theory, which connects Softcover movement in the 1950s and 1960s. Materials D-modules to representation theory science was formed by the integration of € (D) 46,00 | € (A) 47,29 | *CHF 47.50 and other areas of mathematics. [...] metallurgy, polymer science, ceramics, solid € 42,99 | £ 31,99 state physics, and related disciplines. [...] 2008. XI, 412 p. (Progress in Mathematics, Volume 236) Hardcover Yellow Sale Price 2015. X, 86 p. 38 illus., 4 illus. in color. € (D) 21,39 | € (A) 21,99 | *CHF 22.00 € (D) 83,46 | € (A) 85,80 | *CHF 128.00 (SpringerBriefs in the Mathematics of € 19,99 | £ 14,99 € 78,00 | £ 70,00 Materials, Volume 1) Softcover 978-1-4020-1603-5 € (D) 53,49 | € (A) 54,99 | *CHF 67.00 Yellow Sale Price € 49,99 | £ 44,99 € (D) 42,79 | € (A) 43,99 | *CHF 44.00 ,!7IB4A2-abgadf! € 39,99 | £ 29,99 Yellow Sale Price 978-0-8176-4363-8 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 € 24,99 | £ 18,99 ,!7IA8B7-gedgdi! 978-4-431-55862-0 ,!7IE4D1-ffigca! 37 Yellow Sale 2017 springer.com | English Titles

K. Itô, Kyoto University, Kyoto, Japan J. Jacod, Université Paris VI - Pierre et Marie M. Jarnicki, Jagiellonian University, Curie, Paris, Cedex 05, France; P. Protter, Kraków, Poland; P. Pflug, Carl von Ossietzky Poisson Point Processes Columbia University, Protter, NY, USA University Oldenburg, Oldenburg, Germany and Their Application to Markov Processes Probability Essentials Continuous Nowhere Differentiable Functions An extension problem (often called a We have made small changes throughout boundary problem) of Markov processes the book, including the exercises, and we This book covers the construction, has been studied, particularly in the case have tried to correct if not all, then at least analysis, and theory of continuous nowhere of one-dimensional diffusion processes, by most of the typos. We wish to thank the differentiable functions, comprehensively W. Feller, K. Itô, and H. P. McKean, among many colleagues and students who have and accessibly. After illuminating the others. In this book, Itô discussed a case of commented c- structively on the book significance of the subject through an a general Markov process with state space S since its publication two years ago, and in overview of its history, the reader is particular Professors Valentin Petrov, Esko and a specified point a∈ S called a boundary. introduced to the sophisticated toolkit of The problem is to obtain all possible Valkeila, Volker Priebe, and Frank Knight. ideas and tricks used to study the explicit recurrent extensions of a given minimal Jean Jacod, Paris Philip Protter, Ithaca March, continuous nowhere differentiable process (i.e., the process on S \ {a} which is 2002 Preface to the Second Printing of the functions of Weierstrass, Takagi–van der absorbed on reaching the boundary a). [...] Second Edition We have ted greatly from Waerden, Bolzano, and others. [...] the long list of typos and small suggestions 2015. XI, 43 p. 3 illus. (SpringerBriefs in sent to us by Professor Luis Tenorio. [...] 2015. XII, 299 p. 15 illus. in color. (Springer Probability and Mathematical Statistics) Monographs in Mathematics) Hardcover 2nd ed. 2004. X, 254 p. (Universitext) Softcover € (D) 101,64 | € (A) 104,49 | *CHF 104.50 Softcover € (D) 53,49 | € (A) 54,99 | *CHF 55.00 € 94,99 | £ 71,00 € 49,99 | £ 37,99 € (D) 37,40 | € (A) 38,45 | *CHF 50.50 € 34,95 | £ 27,99 Yellow Sale Price Yellow Sale Price € (D) 58,84 | € (A) 60,49 | *CHF 60.50 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 Yellow Sale Price € 54,99 | £ 40,99 € (D) 18,18 | € (A) 18,69 | *CHF 19.00 € 24,99 | £ 18,99 978-3-319-12669-2 € 16,99 | £ 12,99 978-981-10-0271-7 978-3-540-43871-7 ,!7ID3B9-bcggjc! ,!7IJ8B1-aachbh! ,!7ID5E0-edihbh!

K. Iwasawa, Princeton University, Princeton, J. F. Jardine, University of Western Ontario F. Jarvis, University of Sheffield, Sheffield, UK NJ, USA; G. Fujisaki, The University of Tokyo, Mathematics Department, London, ON, Meguro, Japan; K. Kazuya, The University Canada Algebraic Number Theory of Chicago, Chicago, IL, USAM. Kurihara, The technical difficulties of algebraic Keio University, Mita, Japan; S. Nakajima, Local Homotopy Theory number theory often make this subject Gakushuin University, Toshima, Japan (Eds) This monograph on the homotopy theory of appear difficult to beginners. This under- Collected Papers topologized diagrams of spaces and spectra graduate textbook provides a welcome gives an expert account of a subject at the solution to these problems as it provides an Kenkichi Iwasawa was one of the most foundation of motivic homotopy theory and approachable and thorough introduction original and influential mathematicians of the theory of topological modular forms in to the topic. Algebraic Number Theory the twentieth century. He made a number stable homotopy theory. Beginning with takes the reader from unique factorisation of fundamental contributions in group an introduction to the homotopy theory of in the integers through to the modern-day theory and algebraic number theory. simplicial sets and topos theory, the book number field sieve. The first few chapters In group theory, he created the theory covers core topics such as the unstable consider the importance of arithmetic in of (L)-groups (including the structure homotopy theory of simplicial presheaves fields larger than the rational numbers. [...] theorem called “Iwasawa decomposition”), and sheaves, localized theories, cocycles, 2014. XIII, 292 p. 3 illus. (Springer which played an important role in the descent theory, non-abelian cohomology, Undergraduate Mathematics Series) solution of Hilbert’s Fifth Problem. [...] stacks, and local stable homotopy theory. [...] Softcover 2001. XXV, 872 p. 3 illus. With Reprint 2014 2015. IX, 508 p. 514 illus. (Springer € (D) 37,44 | € (A) 38,49 | *CHF 47.00 from the 2001 edition. (Springer Collected Monographs in Mathematics) Hardcover € 34,99 | £ 24,99 Works in Mathematics) Softcover € (D) 101,64 | € (A) 104,49 | *CHF 126.50 € (D) 64,19 | € (A) 65,99 | *CHF 80.00 € 94,99 | £ 85,50 Yellow Sale Price ( ) | ( ) | € 59,99 | £ 53,99 € D 18,18 € A 18,69 *CHF 19.00 Yellow Sale Price € 16,99 | £ 12,99 Yellow Sale Price € (D) 58,84 | € (A) 60,49 | *CHF 60.50 978-3-319-07544-0 € (D) 32,09 | € (A) 32,99 | *CHF 33.00 € 54,99 | £ 40,99 € 29,99 | £ 22,99 978-1-4939-2299-4 ,!7ID3B9-ahfeea! 978-4-431-55055-6 ,!7IE4D1-ffaffg! ,!7IB4J3-jccjje!

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N. Jeevanjee, University of California at G. A. Jones, University of Southampton J. Jost, Max Planck Institut für Mathematik in Berkeley Department of Physics, Berkeley, School of Mathematics, Southampton, den Naturwissenschafte, Leipzig, Germany CA, USA UK; J. M. Jones, Geometry and Physics An Introduction to Tensors and Elementary Number Theory Group Theory for Physicists “Geometry and Physics” addresses Our intention in writing this book is to give mathematicians wanting to understand The second edition of this highly praised an elementary introduction to number modern physics, and physicists wanting textbook provides an introduction to theory which does not demand a great deal to learn geometry. It gives an introduction tensors, group theory, and their applications of mathematical back ground or maturity to modern quantum field theory and in classical and quantum physics. Both from the reader, and which can be read related areas of theoretical high-energy intuitive and rigorous, it aims to demystify and understood with no extra assistance. physics from the perspective of Riemannian tensors by giving the slightly more abstract Our first three chapters are based almost geometry, and an introduction to modern but conceptually much clearer definition entirely on A-level mathematics, while geometry as needed and utilized in found in the math literature, and then the next five require little else beyond modern physics. Jürgen Jost, a well-known connects this formulation to the component some el ementary group theory. [...] research mathematician and advanced textbook author, also develops important formalism of physics calculations. [...] 1998. XIV, 302 p. (Springer Undergraduate geometric concepts and methods that can Mathematics Series) Softcover 2nd ed. 2015. XVI, 305 p. 23 illus. Hardcover be used for the structures of physics. [...] € (D) 53,49 | € (A) 54,99 | *CHF 67.00 € (D) 37,40 | € (A) 38,45 | *CHF 47.00 2009. XIV, 217 p. Hardcover € 49,99 | £ 44,99 € 34,95 | £ 24,95 € (D) 53,45 | € (A) 54,95 | *CHF 72.00 Yellow Sale Price Yellow Sale Price € 49,95 | £ 44,99 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 € (D) 18,18 | € (A) 18,69 | *CHF 19.00 € 24,99 | £ 18,99 € 16,99 | £ 12,99 Yellow Sale Price € (D) 26,74 | € (A) 27,49 | *CHF 27.50 978-3-319-14793-2 978-3-540-76197-6 € 24,99 | £ 18,99 ,!7ID3B9-behjdc! ,!7ID5E0-hgbjhg! 978-3-642-00540-4 ,!7ID6E2-aafeae!

G. A. Jennings M. Joshi, University of Melbourne, J. Jost, Max Planck Society, Leipzig, Germany Melbourne, VIC, Australia Modern Geometry Mathematical Concepts with Applications Proof Patterns The main intention of this book is to describe This book is an introduction to the theory This innovative textbook introduces a new and develop the conceptual, structural and applications of “modern geometry” ~ pattern-based approach to learning proof and abstract thinking of mathematics. roughly speaking, geometry that was devel- methods in the mathematical sciences. Specific mathematical structures are used to oped after Euclid. It covers three major areas Readers will discover techniques that will illustrate the conceptual approach; providing of non-Euclidean geometry and their applica enable them to learn new proofs across a deeper insight into mutual relationships tions: spherical geometry (used in navigation different areas of pure mathematics with and abstract common features. These ideas and astronomy), projective geometry (used ease. The patterns in proofs from diverse are carefully motivated, explained and in art), and spacetime geometry (used in the fields such as algebra, analysis, topology illustrated by examples so that many of the Special The ory of Relativity). In addition it and number theory are explored. Specific more technical proofs can be omitted. [...] topics examined include game theory, treats some of the more useful topics from 2015. XV, 312 p. 130 illus., 16 illus. in color. combinatorics and Euclidean geometry, Euclidean geometry, focusing on the use of Softcover Euclidean motions, and includes a chapter enabling a broad familiarity. [...] on conics and the orbits of planets. [...] € (D) 64,19 | € (A) 65,99 | *CHF 68.00 2015. XIII, 190 p. 24 illus. Softcover € 59,99 | £ 53,99 1994. VIII, 204 p. 150 illus. (Universitext) € (D) 42,79 | € (A) 43,99 | *CHF 53.50 Softcover € 39,99 | £ 35,99 Yellow Sale Price € (D) 32,09 | € (A) 32,99 | *CHF 33.00 € (D) 52,38 | € (A) 53,85 | *CHF 75.00 Yellow Sale Price € 29,99 | £ 22,99 € 48,95 | £ 43,99 € (D) 21,39 | € (A) 21,99 | *CHF 22.00 978-3-319-20435-2 Yellow Sale Price € 19,99 | £ 14,99 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 978-3-319-16249-2 ,!7ID3B9-caedfc! € 24,99 | £ 18,99 978-0-387-94222-3 ,!7ID3B9-bgcejc! ,!7IA3I7-jecccd!

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V. Kac; P. Cheung S. Kantorovitz, Bar-Ilan University Dept. M. Karoubi, Université Paris VII UFR de Mathematics & Computer Science, Ramat Mathematiques, Paris CX 05, France Quantum Calculus Gan, Israel K-Theory In one sentence, quantum calculus is the Topics in Operator Semigroups ordinary calculus without taking limits. From the Preface: K-theory was introduced This undergraduate text develops two This book is based on lecture notes from by A. Grothendieck in his formulation of the types of quantum calculi, the q-calculus a second-year graduate course, and is a Riemann- Roch theorem. For each projective and the h-calculus. As this book develops greatly expanded version of our previous algebraic variety, Grothendieck constructed quantum calculus along the lines of monograph [K8]. We expose some aspects a group from the category of coherent traditional calculus, we discover, with a of the theory of semigroups of linear algebraic sheaves, and showed that it had remarkable inevitability, many important operators, mostly (but not only) from the many nice properties. Atiyah and Hirzebruch notions and results of classical mathematics. point of view of its meeting with that part considered a topological analog defined This book is written at the level of a first of spectral theory which is concerned for any compact space X, a group K{X) con- course in calculus and linear algebra and with the integral representation of structed from the category of vector bundles is aimed at undergraduate and beginning families of operators. This approach and on X. It is this ‘’topological K-theory” that this graduate students in mathematics, selection of topics erentiate this book book will study. Topological K-theory has computer science, and physics. [...] from others in the general area, and ect become an important tool in topology. [...] the author’s own research directions. [...] 2002. IX, 112 p. (Universitext) Softcover 2008. XVIII, 316 p. (Classics in Mathematics) € (D) 40,61 | € (A) 41,75 | *CHF 57.50 2010. XIV, 266 p. (Progress in Mathematics, Softcover € 37,95 | £ 33,99 Volume 281) Hardcover € (D) 53,49 | € (A) 54,99 | *CHF 56.50 € (D) 139,09 | € (A) 142,99 | *CHF 167.00 € 49,99 | £ 44,99 Yellow Sale Price € 129,99 | £ 113,00 € (D) 21,39 | € (A) 21,99 | *CHF 22.00 Yellow Sale Price € 19,99 | £ 14,99 Yellow Sale Price € (D) 26,74 | € (A) 27,49 | *CHF 27.50 978-0-387-95341-0 € (D) 69,54 | € (A) 71,49 | *CHF 71.50 € 24,99 | £ 18,99 € 64,99 | £ 48,99 978-3-540-79889-7 ,!7IA3I7-jfdeba! 978-0-8176-4931-9 ,!7IA8B7-gejdbj! ,!7ID5E0-hjiijh!

A. Kanamori, Boston University Dept. I. Karatzas, Columbia University Dept. C. Kassel, Univ. Louis Pasteur et CNRS Manufacturing Engineering, Boston, MA, Statistics, New York, NY, USA; S. Shreve, Inst. Rech. Math. Avancée, Strasbourg CX, USA Carnegie Mellon University, Pittsburgh, PA, France; V. Turaev, Indiana University Dept. USA Mathematics, Bloomington, IN, USA The Higher Infinite Brownian Motion and Braid Groups The higher nite refers to the lofty reaches of Stochastic Calculus the nite cardinalities of set t- ory as charted Braids and braid groups, the focus of this out by large cardinal hypotheses. These This book is designed as a text for graduate text, have been at the heart of important hypotheses posit cardinals that prescribe courses in stochastic processes. It is written mathematical developments over the their own transcendence over smaller for readers familiar with measure-theoretic last two decades. Their association with cardinals and provide a sup- structure for the probability and discrete-time processes permutations has led to their presence analysis of strong propositions. As such they who wish to explore stochastic processes in a number of mathematical fields are the rightful heirs to the two main lega- in continuous time. The vehicle chosen for and physics. As central objects in knot cies of Georg Cantor, founder of set theory: this exposition is Brownian motion, which theory and 3-dimensional topology, the extension of number into the nite and is presented as the canonical example of braid groups has led to the creation of a the investigation of nable sets of reals. [...] both a martingale and a Markov process new field called quantum topology. [...] 2nd ed. 2003. XXII, 538 p. (Springer with continuous paths. In this context, 2008. X, 338 p. 60 illus. (Graduate Texts in Monographs in Mathematics) Softcover the theory of stochastic integration and Mathematics, Volume 247) Hardcover stochastic calculus is developed. [...] € (D) 93,08 | € (A) 95,69 | *CHF 96.00 € (D) 52,38 | € (A) 53,85 | *CHF 75.00 € 86,99 | £ 64,99 2nd ed. 1998. XXIII, 470 p. (Graduate Texts in € 48,95 | £ 43,99 Mathematics, Volume 113) Softcover Yellow Sale Price Yellow Sale Price € (D) 53,45 | € (A) 54,95 | *CHF 77.50 € (D) 46,00 | € (A) 47,29 | *CHF 47.50 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 € 49,95 | £ 44,99 € 42,99 | £ 31,99 € 24,99 | £ 18,99 978-3-540-88866-6 Yellow Sale Price 978-0-387-33841-5 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 ,!7ID5E0-iiiggg! € 24,99 | £ 18,99 ,!7IA3I7-ddiebf! 978-0-387-97655-6 ,!7IA3I7-jhgffg!

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T. Kato W. G. Kelley, University of Oklahoma, V. Kharchenko, Universidad Nacional Norman, OK, USA; A. C. Peterson, University Autónoma de México , Cuautitlán Izcalli Perturbation Theory for of Nebraska-Lincoln Dept. Mathematics, Linear Operators Lincoln, NE, USA Quantum Lie Theory In view of recent development in pertur- The Theory of Differential This is an introduction to the mathematics bation theory, supplementary notes and a Equations behind the phrase “quantum Lie algebra”. supplementary bibliography are added at The numerous attempts over the last the end of the new edition. Little change has For over 300 years, differential equations 15-20 years to define a quantum Lie been made in the text except that the para have served as an essential tool for algebra as an elegant algebraic object graphs V-§ 4.5, VI-§ 4.3, and VIII-§ 1.4 have describing and analyzing problems in many with a binary “quantum” Lie bracket have been completely rewritten, and a number scientific disciplines. This carefully-written not been widely accepted. In this book, of minor errors, mostly typographical, have textbook provides an introduction to an alternative approach is developed that been corrected. The author would like to many of the important topics associated includes multivariable operations. [...] thank many readers who brought the errors with ordinary differential equations. 2015. XIII, 302 p. (Lecture Notes in to his attention. Due to these changes, Unlike most textbooks on the subject, this Mathematics, Volume 2150) Softcover some theorems, lemmas, and formulas of text includes nonstandard topics such as the first edition are missing from the new perturbation methods and differential € (D) 48,14 | € (A) 49,49 | *CHF 51.00 edition while new ones are added. [...] equations and Mathematica. In addition € 44,99 | £ 40,99 to the nonstandard topics, this text also 2nd ed. 1995. XXI, 623 p. (Classics in Yellow Sale Price contains contemporary material in the Mathematics) Softcover € (D) 26,74 | € (A) 27,49 | *CHF 27.50 area as well as its classical topics. [...] € 24,99 | £ 18,99 € (D) 53,49 | € (A) 54,99 | *CHF 56.50 € 49,99 | £ 44,99 2nd ed. 2010. XI, 423 p. 68 illus. (Universitext) 978-3-319-22703-0 Softcover Yellow Sale Price € (D) 58,80 | € (A) 60,45 | *CHF 109.00 ,!7ID3B9-cchada! ( ) | ( ) | € D 26,74 € A 27,49 *CHF 27.50 € 54,95 | £ 39,99 € 24,99 | £ 18,99 978-3-540-58661-6 Yellow Sale Price € (D) 28,88 | € (A) 29,69 | *CHF 30.00 ,!7ID5E0-figgbg! € 26,99 | £ 19,99 978-1-4419-5782-5 ,!7IB4E1-jfhicf!

A. Kechris, California Institute of Technology G. Kemper, Technische Universität Zentrum P. E. Kloeden, Universität Frankfurt FB 12 Dept. Mathematics, Pasadena, CA, USA Mathematik - M11, Garching, Germany Mathematik, Frankfurt, Germany; E. Platen, University of Technology, Sydney Dept. Classical Descriptive Set Theory A Course in Commutative Mathematical Sciences, Sydney, NSW, Algebra Australia; H. Schurz, Southern Illinois Descriptive set theory has been one of University Dept. Mathematics, Carbondale, the main areas of research in set theory This textbook offers a thorough, modern IL, USA for almost a century. This text attempts to introduction into commutative algebra. It present a largely balanced approach, which is intented mainly to serve as a guide for Numerical Solution of SDE combines many elements of the different a course of one or two semesters, or for Through Computer Experiments traditions of the subject. It includes a wide self-study. The carefully selected subject variety of examples, exercises (over 400), and matter concentrates on the concepts The numerical solution of stochastic differen- applications, in order to illustrate the general and results at the center of the field. The tial equations is becoming an in dispensible concepts and results of the theory. [...] book maintains a constant view on the worktool in a multitude of disciplines, 1995. XVIII, 404 p. (Graduate Texts in natural geometric context, enabling the bridging a long-standing gap between Mathematics, Volume 156) Hardcover reader to gain a deeper understanding the well advanced theory of stochastic of the material. Although it emphasizes differential equations and its application € (D) 64,15 | € (A) 65,95 | *CHF 93.50 theory, three chapters are devoted to to specific examples. This has been made € 59,95 | £ 53,99 computational aspects. Many illustrative possible by the much greater accessibility Yellow Sale Price examples and exercises enrich the text. to high-powered computers at low-cost combined with the availability of new, € (D) 32,09 | € (A) 32,99 | *CHF 33.00 2011. XII, 248 p. (Graduate Texts in effective higher order numerical schemes € 29,99 | £ 22,99 Mathematics, Volume 256) Hardcover for stochastic dif ferential equations. [...] 978-0-387-94374-9 € (D) 58,84 | € (A) 60,49 | *CHF 62.00 € 54,99 | £ 49,99 1994. XIV, 294 p. (Universitext) Softcover ,!7IA3I7-jedhej! € (D) 50,24 | € (A) 51,65 | *CHF 78.00 Yellow Sale Price € 46,95 | £ 37,99 € (D) 28,88 | € (A) 29,69 | *CHF 30.00 € 26,99 | £ 19,99 Yellow Sale Price 978-3-642-03544-9 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 € 24,99 | £ 18,99 ,!7ID6E2-adfeej! 978-3-540-57074-5 ,!7ID5E0-fhahef! 41 Yellow Sale 2017 springer.com | English Titles

P. E. Kloeden; E. Platen, University of A. W. Knapp, State University of New York K. Kodaira Technology, Sydney Dept. Mathematical Dept. Mathematics, Stony Brook, NY, USA Sciences, Sydney, NSW, Australia Complex Manifolds Basic Real Analysis and Deformation of Numerical Solution of Stochastic Complex Structures Differential Equations Basic Real Analysis systematically develops those concepts and tools in real analysis From the reviews: “The author, [...], has writ- The aim of this book is to provide an that are vital to every mathematician, ten a book which will be of service to all who accessible introduction to stochastic differ whether pure or applied, aspiring or are interested in this by now vast subject. [...] ential equations and their applications established. Along with a companion This is a book of many virtues: mathematical, together with a systematic presentation volume Advanced Real Analysis (available historical, and pedagogical. Parts of it could of methods available for their numerical separately or together as a Set), these works be used for a graduate complex manifolds solution. During the past decade there has present a comprehensive treatment with course. J.A. Carlson in Mathematical Reviews, been an accelerating interest in the de vel- a global view of the subject, emphasizing 1987 “There are many mathematicians, or opment of numerical methods for stochastic the connections between real analysis even physicists, who would find this book differential equations (SDEs). This activity and other branches of mathematics. [...] useful and accessible, but its distinctive has been as strong in the engineering and 2005. XXIV, 656 p. (Cornerstones) Hardcover attribute is the insight it gives into a physical sciences as it has in mathematics, brilliant mathematician’s work. [...] resulting inevitably in some duplication € (D) 71,68 | € (A) 73,69 | *CHF 75.50 of effort due to an unfamiliarity with the € 66,99 | £ 60,99 2005. XIV, 465 p. (Classics in Mathematics) Softcover developments in other disciplines. [...] Yellow Sale Price € (D) 53,49 | € (A) 54,99 | *CHF 56.50 1992. XXXVI, 636 p. (Stochastic Modelling € (D) 37,44 | € (A) 38,49 | *CHF 38.50 € 49,99 | £ 44,99 and Applied Probability, Volume 23) € 34,99 | £ 26,99 Hardcover 978-0-8176-3250-2 Yellow Sale Price € (D) 85,55 | € (A) 87,95 | *CHF 115.00 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 € 79,95 | £ 63,99 ,!7IA8B7-gdcfac! € 24,99 | £ 18,99 978-3-540-22614-7 Yellow Sale Price € (D) 42,79 | € (A) 43,99 | *CHF 44.00 € 39,99 | £ 29,99 ,!7ID5E0-ccgbeh! 978-3-540-54062-5 ,!7ID5E0-feagcf!

A. W. Knapp, State University of New York N. Koblitz, University of Washington Dept. B. Korte, Universität Bonn Forschungsinstitut Dept. Mathematics, Stony Brook, NY, USA Mathematics, Seattle, WA, USA für, Bonn, Germany; J. Vygen, Universität Bonn Forschungsinstitut für, Bonn, Germany Advanced Real Analysis A Course in Number Theory and Cryptography Combinatorial Optimization Advanced Real Analysis systematically develops those concepts and tools in real . both Gauss and lesser mathematicians This comprehensive textbook on combina- analysis that are vital to every mathema- may be justified in rejoic ing that there is torial optimization places special emphasis tician, whether pure or applied, aspiring one science [number theory] at any rate, on theoretical results and algorithms with or established. Along with a companion and that their own, whose very remoteness provably good performance, in contrast volume Basic Real Analysis (available sep- from ordinary human activities should to heuristics. It is based on numerous arately or together as a Set), these works keep it gentle and clean. - G. H. Hardy, A courses on combinatorial optimization and present a comprehensive treatment with Mathematician’s Apology, 1940 G. H. Hardy specialized topics, mostly at graduate level. a global view of the subject, emphasizing would have been surprised and probably This book reviews the fundamentals, covers the connections between real analysis displeased with the increasing interest in the classical topics (paths, flows, matching, and other branches of mathematics. [...] number theory for application to “ordinary matroids, NP-completeness, approximation algorithms) in detail, and proceeds to 2005. XXIV, 466 p. (Cornerstones) Hardcover human activities” such as information transmission (error-correcting codes) advanced and recent topics, some of which € (D) 74,85 | € (A) 76,95 | *CHF 109.00 and cryptography (secret codes). [...] have not appeared in a textbook before. [...] € 69,95 | £ 62,99 2nd ed. 1994. X, 235 p. (Graduate Texts in 5th ed. 2012. XX, 660 p. (Algorithms and Yellow Sale Price Mathematics, Volume 114) Hardcover Combinatorics, Volume 21) Hardcover € (D) 37,44 | € (A) 38,49 | *CHF 38.50 € (D) 53,45 | € (A) 54,95 | *CHF 75.00 € (D) 69,50 | € (A) 71,45 | *CHF 86.50 € 34,99 | £ 26,99 € 49,95 | £ 43,99 € 64,95 | £ 58,99 978-0-8176-4382-9 Yellow Sale Price Yellow Sale Price ,!7IA8B7-gedicj! € (D) 26,74 | € (A) 27,49 | *CHF 27.50 € (D) 37,44 | € (A) 38,49 | *CHF 38.50 € 24,99 | £ 18,99 € 34,99 | £ 26,99 978-0-387-94293-3 978-3-642-24487-2 ,!7IA3I7-jecjdd! ,!7ID6E2-ceeihc!

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Y. Kosmann-Schwarzbach, École H. Kragh, Niels Bohr Institute, Copenhagen, S. G. Krantz, Washington University in St. Polytechnique Centre de Mathématiques, Denmark Louis, St. Louis, MO, USA; H. R. Parks, Oregon Palaiseau Cedex, France State University, Corvallis, OR, USA Varying Gravity Groups and Symmetries Geometric Integration Theory The main focus of this book is on the 2010. XVI, 196 p. 44 illus. (Universitext) interconnection of two unorthodox Geometric measure theory has roots Softcover scientific ideas, the varying-gravity going back to ancient Greek mathematics, € (D) 42,75 | € (A) 43,95 | *CHF 57.50 hypothesis and the expanding-earth for considerations of the isoperimetric € 39,95 | £ 35,99 hypothesis. As such, it provides a fascinating problem (to nd the planar domain of given insight into a nearly forgotten chapter in perimeter having greatest area) led naturally Yellow Sale Price both the history of cosmology and the to questions about spatial regions and € (D) 21,39 | € (A) 21,99 | *CHF 22.00 history of the earth sciences. [...] boundaries. In more modern times, the € 19,99 | £ 14,99 Plateau problem is considered to be the well- 2016. XI, 185 p. 16 illus., 4 illus. in color. spring of questions in geometric measure 978-0-387-78865-4 (Science Networks. Historical Studies, theory. Named in honor of the nineteenth Volume 54) Hardcover ,!7IA3I7-hiigfe! century Belgian physicist Joseph Plateau, € (D) 106,99 | € (A) 109,99 | *CHF 110.00 who studied surface tension phenomena € 99,99 | £ 74,50 in general, lmsandsoapbubblesinparticu- Yellow Sale Price lar,thequestion(initsoriginalformulation) € (D) 69,54 | € (A) 71,49 | *CHF 71.50 was to show that a [...] € 64,99 | £ 48,99 2008. XVI, 340 p. 33 illus. (Cornerstones) 978-3-319-24377-1 Hardcover € (D) 64,19 | € (A) 65,99 | *CHF 67.00 ,!7ID3B9-cedhhb! € 59,99 | £ 53,99 Yellow Sale Price € (D) 32,09 | € (A) 32,99 | *CHF 33.00 € 29,99 | £ 22,99 978-0-8176-4676-9 ,!7IA8B7-geghgj!

M. R. Kosorok, University of North Carolina S. G. Krantz, Washington University in St. S. G. Krantz, Washington University in St. Dept. Biostatistics, Chapel Hill, NC, USA Louis, St. Louis, MO, USA; H. R. Parks, Oregon Louis, St. Louis, MO, USA State University, Corvalis, OR, USA Introduction to The Proof is in the Pudding Empirical Processes and A Mathematical Odyssey Krantz takes the reader on a journey around Semiparametric Inference Mathematics is a poem. It is a lucid, sensual, the globe and through centuries of history The goal of this book is to introduce precise exposition of beautiful ideas directed , exploring the many transformations that statisticians, and other researchers with a to specific goals. It is worthwhile to have mathematical proof has undergone from its background in mathematical statistics, to as broad a cross-section of mankind as inception at the time of Euclid and Pythag- empirical processes and semiparametric possible be conversant with what goes oras to its versatile, present-day use . The inference. These powerful research on in mathematics. Just as everyone author elaborates on the beauty, challenges techniques are surpr- ingly useful for knows that the Internet is a powerful and and metamorphisms of thought that have studying large sample properties of important tool for communication, so accompanied the search for truth through statistical estimates from realistically everyone should know that the Poincaré proof. The first two chapters examine the complex models as well as for developing conjecture gives us important information early beginnings of concept of proof and new and - proved approaches to statistical about the shape of our universe. [...] the creation of its elegant structure and language, touching on some of the logic and inference. This book is more of a textbook 2014. XVI, 382 p. 199 illus., 78 illus. in color. philosophy behind these developments. [...] than a research monograph, although a Hardcover number of new results are presented. [...] € (D) 48,14 | € (A) 49,49 | *CHF 60.00 2011. XVII, 264 p. 88 illus., 5 illus. in color. 2008. XIV, 483 p. (Springer Series in Statistics) € 44,99 | £ 24,99 Hardcover Hardcover € (D) 42,79 | € (A) 43,99 | *CHF 49.50 Yellow Sale Price € 39,99 | £ 33,99 € (D) 176,54 | € (A) 181,49 | *CHF 181.50 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 € 164,99 | £ 123,00 € 24,99 | £ 18,99 Yellow Sale Price Yellow Sale Price 978-1-4614-8938-2 € (D) 21,39 | € (A) 21,99 | *CHF 22.00 | € (D) 85,59 | € (A) 87,99 | *CHF 88.00 € 19,99 £ 14,99 € 79,99 | £ 59,99 ,!7IB4G1-eijdic! 978-0-387-48908-7 978-0-387-74977-8 ,!7IA3I7-eijaih! ,!7IA3I7-hejhhi!

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C. S. Kubrusly, Catholic University of Rio de H. Kuo, Louisiana State University J. Lafontaine, Université Montpellier 2, Janeiro, Rio de Janeiro, Brazil Department of Mathematics, Baton Rouge, Montpellier, France LA, USA Essentials of Measure Theory An Introduction to Introduction to Stochastic Differential Manifolds Classical in its approach, this textbook is Integration thoughtfully designed and composed in This book is an introduction to differential two parts. Part I is meant for a one-semester In the Leibniz–Newton calculus, one learns manifolds. It gives solid preliminaries beginning graduate course in measure the erentiation and integration of determin- for more advanced topics: Riemannian theory, proposing an “abstract” approach istic functions. A basic theorem in erentiation manifolds, differential topology, Lie theory. to measure and integration, where the is the chain rule, which gives the derivative It presupposes little background: the reader classical concrete cases of Lebesgue measure of a composite of two erentiable functions. is only expected to master basic differential and Lebesgue integral are presented as an The chain rule, when written in an nite inte- calculus, and a little point-set topology. The important particular case of general theory. gral form, yields the method of substitution. book covers the main topics of differential Part II of the text is more advanced and is In advanced calculus, the Riemann–Stieltjes geometry: manifolds, tangent space, vector addressed to a more experienced reader. [...] integral is ned through the same procedure fields, differential forms, Lie groups, and 2015. XIII, 279 p. Hardcover of “partition-evaluation-summation-limit” a few more sophisticated topics such as as in the Riemann integral. [...] de Rham cohomology, degree theory and € (D) 53,49 | € (A) 54,99 | *CHF 56.50 the Gauss-Bonnet theorem for surfaces. Its 2006. XIII, 279 p. 2 illus. (Universitext) € 49,99 | £ 44,99 ambition is to give solid foundations. [...] Softcover Yellow Sale Price € (D) 53,49 | € (A) 54,99 | *CHF 58.50 2015. XIX, 395 p. 49 illus. Hardcover € (D) 26,74 | € (A) 27,49 | *CHF 27.50 € 49,99 | £ 46,99 € (D) 64,19 | € (A) 65,99 | *CHF 68.00 € 24,99 | £ 18,99 € 59,99 | £ 53,99 978-3-319-22505-0 Yellow Sale Price € (D) 26,74 | € (A) 27,49 | *CHF 27.50 Yellow Sale Price ,!7ID3B9-ccfafa! € 24,99 | £ 18,99 € (D) 32,09 | € (A) 32,99 | *CHF 33.00 978-0-387-28720-1 € 29,99 | £ 22,99 978-3-319-20734-6 ,!7IA3I7-cihcab! ,!7ID3B9-cahdeg!

C. Kuehn, Vienna University of Technology, M. Laczkovich, Eötvös Loránd University, V. Lakshmibai, Northeastern University, Vienna, Austria Budapest, Hungary; V. T. Sós, Alfréd Rényi Boston, MA, USA; J. Brown, Olivet Nazarene Institute of Mathematics, Budapest, Hungary University, Bourbonnais, IL, USA Multiple Time Scale Dynamics Real Analysis The Grassmannian Variety This book provides an introduction to dynamical systems with multiple time Based on courses given at Eötvös Loránd This book gives a comprehensive treatment scales. The approach it takes is to provide University (Hungary) over the past 30 years, of the Grassmannian varieties and their an overview of key areas, particularly topics this introductory textbook develops the Schubert subvarieties, focusing on the that are less available in the introductory central concepts of the analysis of functions geometric and representation-theoretic form. The broad range of topics included of one variable — systematically, with aspects of Grassmannian varieties. Research makes it accessible for students and many examples and illustrations, and in a of Grassmannian varieties is centered at researchers new to the field to gain a quick manner that builds upon, and sharpens, the crossroads of commutative algebra, and thorough overview. The first of its the student’s mathematical intuition. The algebraic geometry, representation theory, kind, this book merges a wide variety of book provides a solid grounding in the and combinatorics. Therefore, this text different mathematical techniques into basics of logic and proofs, sets, and real uniquely presents an exciting playing field a more unified framework. The book is numbers, in preparation for a study of the for graduate students and researchers highly illustrated with many examples and main topics: limits, continuity, rational in mathematics, physics, and computer exercises and an extensive bibliography. [...] functions and transcendental functions, science, to expand their knowledge in differentiation, and integration. [...] the field of algebraic geometry. [...] 2015. XIII, 814 p. 196 illus., 48 illus. in color. (Applied Mathematical Sciences, Volume 191) 2015. X, 483 p. 94 illus. (Undergraduate Texts 2015. X, 172 p. 123 illus., 39 illus. in color. Hardcover in Mathematics) Hardcover (Developments in Mathematics, Volume 42) € (D) 85,59 | € (A) 87,99 | *CHF 106.50 € (D) 48,14 | € (A) 49,49 | *CHF 51.00 Hardcover € 79,99 | £ 72,00 € 44,99 | £ 40,99 € (D) 74,89 | € (A) 76,99 | *CHF 79.00 € 69,99 | £ 62,99 Yellow Sale Price Yellow Sale Price € (D) 46,00 | € (A) 47,29 | *CHF 47.50 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 Yellow Sale Price € 42,99 | £ 31,99 € 24,99 | £ 18,99 € (D) 37,44 | € (A) 38,49 | *CHF 38.50 978-3-319-12315-8 978-1-4939-2765-4 € 34,99 | £ 26,99 978-1-4939-3081-4 ,!7ID3B9-bcdbfi! ,!7IB4J3-jchgfe! ,!7IB4J3-jdaibe!

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V. Lakshmikantham, formerly Florida S. Lang, Yale University Dept. Mathematics, H. P. Langtangen, Simula Research Institute of Technology, Melbourne, New Haven, CT, USA Laboratory, Lysaker, Norway FL, USA; S. Leela, State University of New York, Geneseo, Geneseo, NY, Short Calculus Python Scripting for USA; A. A. Martynyuk, S.P. Timoshenko Computational Science Praise for the first edition: “..Lang’s Institute of Mechanics of NAS of Ukraine, present book is a source of interesting Kiev, Ukraine Numerous readers of the second edition ideas and brilliant techniques.” Acta have ed me about misprints and possible Stability Analysis of Scientiarum Mathematicarum “..It is an improvements of the text and the associated Nonlinear Systems admirable straightforward introduction computer codes. The resulting cations to calculus.” Mathematika This is a reprint have been incorporated in this new edition The book investigates stability theory of A First Course in Calculus, which has and its accompanying software. The major in terms of two different measure, gone through five editions since the early change between the second and third exhibiting the advantage of employing sixties. It covers all the topics traditionally editions, however, is caused by the new families of Lyapunov functions and treats taught in the first-year calculus sequence implementation of Numerical Python, now the theory of a variety of inequalities, in a brief and elementary fashion. [...] called numpy. The new numpy package clearly bringing out the underlying theme. 2002. XII, 260 p. (Undergraduate Texts in encourages a slightly erent syntax compared It also demonstrates manifestations of the Mathematics) Softcover to the old Numeric implementation, which general Lyapunov method, showing how was used in the previous editions. [...] € (D) 42,75 | € (A) 43,95 | *CHF 63.50 this technique can be adapted to various € 39,95 | £ 36,99 3rd ed. 2008. XXVI, 756 p. (Texts in apparently diverse nonlinear problems. [...] Computational Science and Engineering, 2nd ed. 2015. XI, 329 p. (Systems & Control: Yellow Sale Price Volume 3) Hardcover € (D) 21,39 | € (A) 21,99 | *CHF 22.00 Foundations & Applications) Hardcover € (D) 53,45 | € (A) 54,95 | *CHF 72.00 € 19,99 | £ 14,99 € (D) 101,64 | € (A) 104,49 | *CHF 104.50 € 49,95 | £ 44,99 € 94,99 | £ 71,00 978-0-387-95327-4 Yellow Sale Price Yellow Sale Price ,!7IA3I7-jfdche! € (D) 26,74 | € (A) 27,49 | *CHF 27.50 € (D) 58,84 | € (A) 60,49 | *CHF 60.50 € 24,99 | £ 18,99 € 54,99 | £ 40,99 978-3-540-73915-9 978-3-319-27199-6 ,!7ID3B9-chbjjg! ,!7ID5E0-hdjbfj!

S. Lang, Yale University Dept. Mathematics, S. Lang, Yale University Dept. Mathematics, S. Larsson, Chalmers University of New Haven, CT, USA New Haven, CT, USA Technology Dept. Mathematics, Göteborg, Sweden; V. Thomee, Chalmers University of Real and Functional Analysis Undergraduate Algebra Technology Dept. Mathematics, Göteborg, Sweden This book is meant as a text for a first year This book, together with Linear Algebra, graduate course in analysis. Any standard constitutes a curriculum for an algebra Partial Differential Equations course in undergraduate analysis will program addressed to undergraduates. with Numerical Methods constitute sufficient preparation for its The separation of the hnear algebra from understanding, for instance, my Under- the other basic algebraic structures fits 2003. X, 262 p. (Texts in Applied graduate Anal ysis. I assume that the reader all existing tendencies affecting under- Mathematics, Volume 45) Hardcover is acquainted with notions of uniform con graduate teaching, and I agree with these € (D) 71,64 | € (A) 73,65 | *CHF 96.00 vergence and the like. In this third edition, tendencies. I have made the present book € 66,95 | £ 60,99 I have reorganized the book by covering self contained logically, but it is probably inte gration before functional analysis. better if students take the linear algebra Yellow Sale Price Such a rearrangement fits the way courses course before being introduced to the € (D) 37,44 | € (A) 38,49 | *CHF 38.50 are taught in all the places I know of. [...] more abstract notions of groups, rings, and € 34,99 | £ 26,99 fields, and the systematic development 3rd ed. 1993. XIV, 580 p. (Graduate Texts in 978-3-540-01772-1 of their basic abstract properties. [...] Mathematics, Volume 142) Hardcover € (D) 58,80 | € (A) 60,45 | *CHF 86.50 3rd ed. 2005. XII, 389 p. (Undergraduate Texts ,!7ID5E0-abhhcb! € 54,95 | £ 49,99 in Mathematics) Hardcover € (D) 58,80 | € (A) 60,45 | *CHF 86.50 Yellow Sale Price € 54,95 | £ 49,99 € (D) 28,88 | € (A) 29,69 | *CHF 30.00 € 26,99 | £ 19,99 Yellow Sale Price 978-0-387-94001-4 € (D) 28,88 | € (A) 29,69 | *CHF 30.00 € 26,99 | £ 19,99 ,!7IA3I7-jeaabe! 978-0-387-22025-3 ,!7IA3I7-ccacfd!

45 Yellow Sale 2017 springer.com | English Titles

S. Larsson, Chalmers University of K. Law, Computer Science and R. Laza, Stony Brook University, Stony Brook, Technology Dept. Mathematics, Göteborg, Mathematics Division, Oak Ridge, , NY, USA; M. Schütt, Leibniz Universität Sweden; V. Thomee, Chalmers University of USA; A. Stuart, University of Warwick, Hannover, Hannover, Germany; N. Yui, Technology Dept. Mathematics, Göteborg, Coventry, UK; K. Zygalakis, University of Queen’s University, Kingston, ON, Canada Sweden Southampton, Southampton, UK (Eds) Partial Differential Equations Data Assimilation Calabi-Yau Varieties: Arithmetic, with Numerical Methods Geometry and Physics This book provides a systematic treatment of 2003. X, 262 p. (Texts in Applied the mathematical underpinnings of work in This volume presents a lively introduction Mathematics, Volume 45) Softcover data assimilation, covering both theoretical to the rapidly developing and vast research and computational approaches. Specifically € (D) 32,09 | € (A) 32,99 | *CHF 34.00 areas surrounding Calabi–Yau varieties the authors develop a unified mathematical € 29,99 | £ 26,99 and string theory. With its coverage of the framework in which a Bayesian formulation various perspectives of a wide area of topics Yellow Sale Price of the problem provides the bedrock for such as Hodge theory, Gross–Siebert pro- € (D) 16,04 | € (A) 16,49 | *CHF 16.50 the derivation, development and analysis of gram, moduli problems, toric approach, and € 14,99 | £ 11,99 algorithms; the many examples used in the arithmetic aspects, the book gives a com- 978-3-540-88705-8 text, together with the algorithms which are prehensive overview of the current streams introduced and discussed, are all illustrated of mathematical research in the area. [...] by the MATLAB software detailed in the ,!7ID5E0-iihafi! book and made freely available online. [...] 2015. X, 547 p. 71 illus., 12 illus. in color. (Fields Institute Monographs, Volume 34) 2015. XVIII, 242 p. 61 illus., 41 illus. in color. Hardcover (Texts in Applied Mathematics, Volume 62) € (D) 117,69 | € (A) 120,99 | *CHF 124.00 Hardcover € 109,99 | £ 99,00 € (D) 53,49 | € (A) 54,99 | *CHF 56.50 € 49,99 | £ 44,99 Yellow Sale Price € (D) 64,19 | € (A) 65,99 | *CHF 66.00 Yellow Sale Price € 59,99 | £ 44,99 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 978-1-4939-2829-3 € 24,99 | £ 18,99 978-3-319-20324-9 ,!7IB4J3-jcicjd! ,!7ID3B9-cadcej!

D. Laugwitz, FH Darmstadt FB G.C. Layek, The University of Burdwan R.K. Lazarsfeld, University of Michigan Dept. Maschinenbau, Darmstadt, Germany Department of Mathematics, Burdwan, India Mathematics, Ann Arbor, MI, USA Bernhard Riemann 1826–1866 An Introduction to Dynamical Positivity in Algebraic Systems and Chaos Geometry I 1999. XVII, 357 p. 40 illus. (Modern Birkhäuser Classics) Softcover The book discusses continuous and discrete This two volume work on Positivity in Alge- € (D) 53,49 | € (A) 54,99 | *CHF 69.50 systems in systematic and sequential braic Geometry contains a contemporary € 49,99 | £ 46,99 approaches for all aspects of nonlinear account of a body of work in complex dynamics. The unique feature of the book algebraic geometry loosely centered around Yellow Sale Price is its mathematical theories on flow the theme of positivity. Topics in Volume I € (D) 26,74 | € (A) 27,49 | *CHF 27.50 bifurcations, oscillatory solutions, symmetry include ample line bundles and linear series € 24,99 | £ 18,99 analysis of nonlinear systems and chaos on a projective variety, the classical theorems 978-0-8176-4776-6 theory. The logically structured content and of Lefschetz and Bertini and their modern sequential orientation provide readers with outgrowths, vanishing theorems, and local ,!7IA8B7-gehhgg! a global overview of the topic. A systematic positivity. Volume II begins with a survey of mathematical approach has been adopted, positivity for vector bundles, and moves on and a number of examples worked out in to a systematic development of the theory of detail and exercises have been included. [...] multiplier ideals and their applications. [...] 2015. XVIII, 622 p. 222 illus. in color. 2004. XVIII, 387 p. (Ergebnisse der Hardcover Mathematik und ihrer Grenzgebiete. 3. Folge € (D) 74,89 | € (A) 76,99 | *CHF 77.00 / A Series of Modern Surveys in Mathematics, € 69,99 | £ 52,99 Volume 48) Hardcover € (D) 165,80 | € (A) 170,45 | *CHF 222.50 Yellow Sale Price € 154,95 | £ 139,50 € (D) 37,44 | € (A) 38,49 | *CHF 38.50 € 34,99 | £ 26,99 Yellow Sale Price 978-81-322-2555-3 € (D) 80,24 | € (A) 82,49 | *CHF 82.50 € 74,99 | £ 55,99 ,!7II1D2-ccfffd! 978-3-540-22533-1 ,!7ID5E0-ccfddb! 46 springer.com | English Titles Yellow Sale 2017

R.K. Lazarsfeld, University of Michigan Dept. R.K. Lazarsfeld, University of Michigan Dept. M. Ledoux, Université Toulouse III Lab. Mathematics, Ann Arbor, MI, USA Mathematics, Ann Arbor, MI, USA Statist. et Probabilités, Toulouse CX, France; M. Talagrand, Université Paris VI Positivity in Algebraic Positivity in Algebraic Dépt. Mathématiques, Paris CX 05, France Geometry I Geometry II Probability in Banach Spaces This two volume work on Positivity in Alge- This two volume work on “Positivity in braic Geometry contains a contemporary Algebraic Geometry” contains a contempo- Isoperimetric, measure concentration and account of a body of work in complex rary account of a body of work in complex random process techniques appear at algebraic geometry loosely centered around algebraic geometry loosely centered around the basis of the modern understanding the theme of positivity. Topics in Volume I the theme of positivity. Topics in Volume I of Probability in Banach spaces. Based on include ample line bundles and linear series include ample line bundles and linear series these tools, the book presents a complete on a projective variety, the classical theorems on a projective variety, the classical theorems treatment of the main aspects of Probability of Lefschetz and Bertini and their modern of Lefschetz and Bertini and their modern in Banach spaces (integrability and limit outgrowths, vanishing theorems, and local outgrowths, vanishing theorems, and local theorems for vector valued random positivity. Volume II begins with a survey of positivity. Volume II begins with a survey of variables, boundedness and continuity of positivity for vector bundles, and moves on positivity for vector bundles, and moves on random processes) and of some of their to a systematic development of the theory of to a systematic development of the theory of links to Geometry of Banach spaces (via the multiplier ideals and their applications. [...] multiplier ideals and their applications. [...] type and cotype properties). Its purpose is to present some of the main aspects 2004. XVIII, 387 p. (Ergebnisse der 2004. XVII, 385 p. (Ergebnisse der of this theory, from the foundations to Mathematik und ihrer Grenzgebiete. 3. Folge Mathematik und ihrer Grenzgebiete. 3. Folge the most important achievements. [...] / A Series of Modern Surveys in Mathematics, / A Series of Modern Surveys in Mathematics, Volume 48) Softcover Volume 49) Softcover 2011. XII, 480 p. 2 illus. (Classics in Mathematics) Softcover € (D) 42,79 | € (A) 43,99 | *CHF 45.50 € (D) 37,40 | € (A) 38,45 | *CHF 47.00 € 39,99 | £ 35,99 € 34,95 | £ 31,99 € (D) 53,49 | € (A) 54,99 | *CHF 56.50 € 49,99 | £ 44,99 Yellow Sale Price Yellow Sale Price € (D) 21,39 | € (A) 21,99 | *CHF 22.00 € (D) 18,18 | € (A) 18,69 | *CHF 19.00 Yellow Sale Price € 19,99 | £ 14,99 € 16,99 | £ 12,99 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 € 24,99 | £ 18,99 978-3-540-22528-7 978-3-540-22531-7 978-3-642-20211-7 ,!7ID5E0-ccfcih! ,!7ID5E0-ccfdbh! ,!7ID6E2-cacbbh!

R.K. Lazarsfeld, University of Michigan Dept. H. Le Dret, Sorbonne Universités UPMC B. Leimkuhler, University of Edinburgh Mathematics, Ann Arbor, MI, USA Université Paris 06, UMR 7598, Paris, School of Mathematics, Edinburgh, France; B. Lucquin, Sorbonne Universités UK; C. Matthews, University of Chicago, Positivity in Algebraic UPMC Université Paris 06, UMR 7598, Paris, Chicago, IL, USA Geometry II France Molecular Dynamics This two volume work on “Positivity in Partial Differential Equations: Algebraic Geometry” contains a contempo- Modeling, Analysis and This book describes the mathematical rary account of a body of work in complex Numerical Approximation underpinnings of algorithms used for algebraic geometry loosely centered around molecular dynamics simulation, including the theme of positivity. Topics in Volume I This book is devoted to the study of partial both deterministic and stochastic numerical include ample line bundles and linear series differential equation problems both from methods. Molecular dynamics is one of on a projective variety, the classical theorems the theoretical and numerical points of the most versatile and powerful methods of Lefschetz and Bertini and their modern view. After presenting modeling aspects, it of modern computational science and outgrowths, vanishing theorems, and local develops the theoretical analysis of partial engineering and is used widely in chemistry, positivity. Volume II begins with a survey of differential equation problems for the three physics, materials science and biology. [...] positivity for vector bundles, and moves on main classes of partial differential equations: 2015. XXII, 443 p. 95 illus., 71 illus. in color. to a systematic development of the theory of elliptic, parabolic and hyperbolic. [...] (Interdisciplinary Applied Mathematics, multiplier ideals and their applications. [...] 2016. XI, 395 p. 140 illus., 21 illus. in Volume 39) Hardcover 2004. XVII, 385 p. (Ergebnisse der color. (International Series of Numerical € (D) 64,19 | € (A) 65,99 | *CHF 68.00 Mathematik und ihrer Grenzgebiete. 3. Folge Mathematics, Volume 168) Hardcover € 59,99 | £ 53,99 / A Series of Modern Surveys in Mathematics, € (D) 64,19 | € (A) 65,99 | *CHF 66.00 Volume 49) Hardcover Yellow Sale Price € 59,99 | £ 44,99 € (D) 32,09 | € (A) 32,99 | *CHF 33.00 € (D) 165,80 | € (A) 170,45 | *CHF 222.50 € 29,99 | £ 22,99 € 154,95 | £ 139,50 Yellow Sale Price € (D) 42,79 | € (A) 43,99 | *CHF 44.00 978-3-319-16374-1 Yellow Sale Price € 39,99 | £ 29,99 € (D) 80,24 | € (A) 82,49 | *CHF 82.50 978-3-319-27065-4 ,!7ID3B9-bgdheb! € 74,99 | £ 55,99 978-3-540-22534-8 ,!7ID3B9-chagfe! ,!7ID5E0-ccfdei! 47 Yellow Sale 2017 springer.com | English Titles

S. Lie, J. Merker, Université Paris-Sud 11 T. M. Liggett, University of California, Los A. Lindquist, Royal Institute of Technology, Faculté des Sciences d’Orsay, Orsay, France Angeles Dept. Mathematics, Los Angeles, Stockholm, Sweden; G. Picci, University of (Ed) CA, USA Padova, Padova, Italy Theory of Transformation Interacting Particle Systems Linear Stochastic Systems Groups I From the reviews “[...] This book presents This book presents a treatise on the theory This modern translation of Sophus a complete treatment of a new class of and modeling of second-order stationary Lie’s and Friedrich Engel’s “Theorie der random processes, which have been studied processes, including an exposition on Transformationsgruppen I” will allow readers intensively during the last fifteen years. selected application areas that are important to discover the striking conceptual clarity None of this material has ever appeared in in the engineering and applied sciences. The and remarkably systematic organizational book form before. …The high quality of this foundational issues regarding stationary thought of the original German text. Volume work, [...] , makes a fascinating subject and its processes dealt with in the beginning of I presents a comprehensive introduction to open problem as accessible as possible. [...] the book have a long history, starting in the 1940s with the work of Kolmogorov, Wiener, the theory and is mainly directed towards 2005. I, 496 p. (Classics in Mathematics) Cramér and his students, in particular the generalization of ideas drawn from Softcover the study of examples. The major part of Wold, and have since been refined and the present volume offers an extremely € (D) 53,49 | € (A) 54,99 | *CHF 56.50 complemented by many others. [...] € 49,99 | £ 44,99 clear translation of the lucid original. [...] 2015. XV, 781 p. 37 illus. (Series in 2015. XV, 643 p. 7 illus. in color. Hardcover Yellow Sale Price Contemporary Mathematics, Volume 1) € (D) 26,74 | € (A) 27,49 | *CHF 27.50 Hardcover € (D) 117,69 | € (A) 120,99 | *CHF 146.50 € 24,99 | £ 18,99 € 109,99 | £ 99,00 € (D) 149,79 | € (A) 153,99 | *CHF 186.50 978-3-540-22617-8 € 139,99 | £ 126,00 Yellow Sale Price € (D) 64,19 | € (A) 65,99 | *CHF 66.00 ,!7ID5E0-ccgbhi! Yellow Sale Price € 59,99 | £ 44,99 € (D) 82,38 | € (A) 84,69 | *CHF 85.00 € 76,99 | £ 57,99 978-3-662-46210-2 978-3-662-45749-8 ,!7ID6G2-egcbac! ,!7ID6G2-efheji!

J. Liesen, Technical University of Berlin, F. Linares, Instituto Nacional de Matemática C. H.C. Little, Massey University, Palmerston Berlin, Germany; V. Mehrmann, Technical Pura e Aplicada (IMPA), Rio de Janeiro, North, New Zealand; K. L. Teo, Massey University of Berlin, Berlin, Germany Brazil; G. Ponce, University of California, University, Palmerston North, New Santa Barbara College of Letters & Science, Zealand; B. van Brunt, Massey University, Linear Algebra Santa Barbara, CA, USA Palmerston North, New Zealand This self-contained textbook takes a Introduction to Nonlinear Real Analysis via matrix-oriented approach to linear algebra Dispersive Equations Sequences and Series and presents a complete theory, including all details and proofs, culminating in the Jordan This textbook introduces the well-posedness This text gives a rigorous treatment of the canonical form and its proof. Throughout theory for initial-value problems of foundations of calculus. In contrast to more the development, the applicability of the nonlinear, dispersive partial differential traditional approaches, infinite sequences results is highlighted. Additionally, the book equations, with special focus on two key and series are placed at the forefront. The presents special topics from applied linear models, the Korteweg–de Vries equation approach taken has not only the merit of algebra including matrix functions, the and the nonlinear Schrödinger equation. [...] simplicity, but students are well placed to singular value decomposition, the Kronecker understand and appreciate more sophisti- 2nd ed. 2015. XIV, 301 p. 1 illus. (Universitext) product and linear matrix equations. [...] cated concepts in advanced mathematics. [...] Softcover 2015. XI, 324 p. 22 illus. (Springer € (D) 64,19 | € (A) 65,99 | *CHF 80.00 2015. XI, 476 p. 27 illus. (Undergraduate Texts Undergraduate Mathematics Series) € 59,99 | £ 39,99 in Mathematics) Hardcover Softcover € (D) 64,19 | € (A) 65,99 | *CHF 80.00 € (D) 37,44 | € (A) 38,49 | *CHF 38.50 Yellow Sale Price € 59,99 | £ 53,99 € 34,99 | £ 24,99 € (D) 32,09 | € (A) 32,99 | *CHF 33.00 € 29,99 | £ 22,99 Yellow Sale Price Yellow Sale Price 978-1-4939-2180-5 € (D) 32,09 | € (A) 32,99 | *CHF 33.00 € (D) 18,18 | € (A) 18,69 | *CHF 19.00 € 29,99 | £ 22,99 € 16,99 | £ 12,99 978-1-4939-2650-3 978-3-319-24344-3 ,!7IB4J3-jcbiaf! ,!7ID3B9-cedeed! ,!7IB4J3-jcgfad!

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W. Liu, Jiangsu Normal University, Xuzhou, H. Lombardi, University of Franche-Comté, D. Luke, Washington University, St. Louis, China; M. Röckner, Bielefeld University, Besançon, France; C. Quitté, University of MO, USA Bielefeld, Germany Poitiers, Poitiers, France A User’s Guide to Stochastic Partial Differential Commutative Algebra: Network Analysis in R Equations: An Introduction Constructive Methods Presenting a comprehensive resource for the This book provides an introduction to the Translated from the popular French edition, mastery of network analysis in R, the goal theory of stochastic partial differential this book offers a detailed introduction of Network Analysis with R is to introduce equations (SPDEs) of evolutionary type. to various basic concepts, methods, modern network analysis techniques in R SPDEs are one of the main research principles, and results of commutative to social, physical, and health scientists. The directions in probability theory with several algebra. It takes a constructive viewpoint mathematical foundations of network analy- wide ranging applications. Many types in commutative algebra and studies sis are emphasized in an accessible way and of dynamics with stochastic influence in algorithmic approaches alongside several readers are guided through the basic steps of nature or man-made complex systems can abstract classical theories. Indeed, it revisits network studies: network conceptualization, be modelled by such equations. The theory these traditional topics with a new and data collection and management, network of SPDEs is based both on the theory of simplifying manner, making the subject description, visualization, and building deterministic partial differential equations, both accessible and innovative. [...] and testing statistical models of networks. as well as on modern stochastic analysis. [...] As with all of the books in the Use R! [...] 2015. XLIX, 996 p. 80 illus. (Algebra and 2015. VI, 266 p. (Universitext) Softcover Applications, Volume 20) Hardcover 2015. XII, 238 p. 92 illus., 81 illus. in color. (Use € (D) 53,49 | € (A) 54,99 | *CHF 55.00 € (D) 149,79 | € (A) 153,99 | *CHF 158.00 R!) Softcover € 49,99 | £ 29,99 € 139,99 | £ 126,00 € (D) 53,49 | € (A) 54,99 | *CHF 55.00 € 49,99 | £ 39,99 Yellow Sale Price Yellow Sale Price € (D) 26,74 | € (A) 27,49 | *CHF 27.50 € (D) 82,38 | € (A) 84,69 | *CHF 85.00 Yellow Sale Price € 24,99 | £ 18,99 € 76,99 | £ 57,99 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 978-3-319-22353-7 978-94-017-9943-0 € 24,99 | £ 18,99 978-3-319-23882-1 ,!7ID3B9-ccdfdh! ,!7IJ4A1-hjjeda! ,!7ID3B9-cdiicb!

J. D. Logan, University of Nebraska--Lincoln, A. Lubotzky, Hebrew University of Jerusalem M. E. Luna-Elizarrarás, Instituto Politécnico Lincoln, NE, USA Einstein Institute of Mathematics, Jerusalem, Nacional, Mexico City, Mexico; M. Shapiro, Israel Instituto Politécnico Nacional, Mexico City, A First Course in Mexico; D. C. Struppa, Chapman University, Differential Equations Discrete Groups, Expanding Orange, CA, USA; A. Vajiac, Chapman Graphs and Invariant Measures University Schmid College of Science and The third edition of this concise, popular Technology, ORANGE, CA textbook on elementary differential In the last fteen years two seemingly equations gives instructors an alternative to unrelated problems, one in computer Bicomplex Holomorphic the many voluminous texts on the market. science and the other in measure theory, Functions It presents a thorough treatment of the were solved by amazingly similar techniques standard topics in an accessible, easy-to- from representation theory and from The purpose of this book is to develop the read, format. The overarching perspective of analytic number theory. One problem foundations of the theory of holomorphicity the text conveys that differential equations is the - plicit construction of expanding on the ring of bicomplex numbers. Accord- are about applications. This book illuminates graphs («expanders»). These are highly ingly, the main focus is on expressing the the mathematical theory in the text with a connected sparse graphs whose existence similarities with, and differences from, the wide variety of applications that will appeal can be easily demonstrated but whose classical theory of one complex variable. The to students in physics, engineering, the bio- explicit c- struction turns out to be a cult result is an elementary yet comprehensive sciences, economics and mathematics. [...] task. Since expanders serve as basic building introduction to the algebra, geometry blocks for various distributed networks, an and analysis of bicomplex numbers. [...] 3rd ed. 2015. XIII, 369 p. 101 illus., 13 illus. in explicit construction is highly des- able. [...] color. (Undergraduate Texts in Mathematics) 2015. VIII, 231 p. 23 illus. (Frontiers in Hardcover 1994. XI, 196 p. (Modern Birkhäuser Classics) Mathematics) Softcover € (D) 48,14 | € (A) 49,49 | *CHF 51.00 Softcover € (D) 53,49 | € (A) 54,99 | *CHF 55.00 € 44,99 | £ 40,99 € (D) 64,19 | € (A) 65,99 | *CHF 68.00 € 49,99 | £ 37,99 € 59,99 | £ 53,99 Yellow Sale Price Yellow Sale Price € (D) 26,74 | € (A) 27,49 | *CHF 27.50 Yellow Sale Price € (D) 26,74 | € (A) 27,49 | *CHF 27.50 € 24,99 | £ 18,99 € (D) 32,09 | € (A) 32,99 | *CHF 33.00 € 24,99 | £ 18,99 978-3-319-17851-6 € 29,99 | £ 22,99 978-3-319-24866-0 978-3-0346-0331-7 ,!7ID3B9-bhifbg! ,!7ID0D4-gaddbh! ,!7ID3B9-ceigga! 49 Yellow Sale 2017 springer.com | English Titles

G. Lusztig, MIT, Cambridge, MA, USA W. Lütkebohmert, Ulm University Institute W. W. Lytton of Pure Mathematics, Ulm, Germany Introduction to Quantum Groups From Computer to Brain Rigid Geometry of Curves According to Drinfeld, a quantum group is and Their Jacobians Biology undergraduates, medical students the same as a Hopf algebra. This includes and life-science graduate students often as special cases, the algebra of regular This book presents some of the most have limited mathematical skills. Similarly, functions on an algebraic group and the important aspects of rigid geometry, namely physics, math and engineering students enveloping algebra of a semisimple Lie its applications to the study of smooth have little patience for the detailed algebra. The qu- tum groups discussed in algebraic curves, of their Jacobians, and of facts that make up much of biological this book are the quantized enveloping abelian varieties - all of them defined over a knowledge. Teaching computational algebras introduced by Drinfeld and Jimbo complete non-archimedean valued field. The neuroscience as an integrated discipline in 1985, or variations thereof. Although such text starts with a survey of the foundation requires that both groups be brought quantum groups appeared in connection of rigid geometry, and then focuses on a forward onto common ground. This book with problems in statistical mechanics and detailed treatment of the applications. In the does this by making ancillary material are closely related to conformal field theory case of curves with split rational reduction available in an appendix and providing and knot theory, we will regard them purely there is a complete analogue to the basic explanations without becoming as a new development in Lie theory. [...] fascinating theory of Riemann surfaces. [...] bogged down in unnecessary details. [...] 2010. XIV, 352 p. (Modern Birkhäuser Classics) 2016. XVIII, 386 p. 1 illus. in color. (Ergebnisse 2002. XX, 364 p. (X-Pferdchen) Hardcover Softcover der Mathematik und ihrer Grenzgebiete. € (D) 118,72 | € (A) 122,05 | *CHF 171.50 € (D) 58,80 | € (A) 60,45 | *CHF 79.00 3. Folge / A Series of Modern Surveys in € 110,95 | £ 99,50 € 54,95 | £ 49,99 Mathematics, Volume 61) Hardcover Yellow Sale Price € (D) 101,64 | € (A) 104,49 | *CHF 104.50 Yellow Sale Price € (D) 58,84 | € (A) 60,49 | *CHF 60.50 € 94,99 | £ 71,00 € (D) 28,88 | € (A) 29,69 | *CHF 30.00 € 54,99 | £ 40,99 € 26,99 | £ 19,99 Yellow Sale Price 978-0-387-95528-5 978-0-8176-4716-2 € (D) 69,54 | € (A) 71,49 | *CHF 71.50 € 64,99 | £ 48,99 ,!7IA3I7-jffcif! ,!7IA8B7-gehbgc! 978-3-319-27369-3 ,!7ID3B9-chdgjd!

E. Lütkebohmert, Universität Bonn Inst. R. C. Lyndon; P. E. Schupp W. W. Lytton Gesellschafts- und, Bonn, Germany Combinatorial Group Theory From Computer to Brain Concentration Risk in Credit Portfolios From the reviews: “This book (...) defines the Biology undergraduates, medical students boundaries of the subject now called combi- and life-science graduate students often Modeling and management of credit risk natorial group theory. (...)it is a considerable have limited mathematical skills. Similarly, are the main topics within banks and other achievement to have concentrated a survey physics, math and engineering students lending institutions. Historical experience of the subject into 339 pages. This includes have little patience for the detailed shows that, in particular, concentration of a substantial and useful bibliography; (over facts that make up much of biological risk in credit portfolios has been one of the 1100 (items)). ...the book is a valuable and knowledge. Teaching computational major causes of bank distress. Therefore, welcome addition to the literature, contain- neuroscience as an integrated discipline concentration risk is highly relevant to ing many results not previously available in a requires that both groups be brought anyone who wants to go beyond the book. It will undoubtedly become a standard forward onto common ground. This book very basic portfolio credit risk models. reference.” Mathematical Reviews, AMS, 1979 does this by making ancillary material available in an appendix and providing The book gives an introduction to credit 2001. XIV, 339 p. (Classics in Mathematics, basic explanations without becoming risk modeling with the aim to measure Volume 89) Softcover concentration risks in credit portfolios. [...] bogged down in unnecessary details. [...] € (D) 53,49 | € (A) 54,99 | *CHF 56.50 2009. XVIII, 226 p. 17 illus. (EAA Series) € 49,99 | £ 44,99 2002. XX, 364 p. (X-Pferdchen) Softcover Softcover € (D) 48,10 | € (A) 49,45 | *CHF 69.00 Yellow Sale Price € (D) 32,09 | € (A) 32,99 | *CHF 34.00 € 44,95 | £ 40,99 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 € 29,99 | £ 26,99 € 24,99 | £ 18,99 Yellow Sale Price Yellow Sale Price 978-3-540-41158-1 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 € (D) 16,04 | € (A) 16,49 | *CHF 16.50 € 24,99 | £ 18,99 € 14,99 | £ 11,99 ,!7ID5E0-ebbfib! 978-0-387-95526-1 978-3-540-70869-8 ,!7IA3I7-jffcgb! ,!7ID5E0-haigji!

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S. MacLane, Heidelberg, Germany P. M. Mariano, University of Florence, M. Martcheva, University of Florida, Firenze, Italy; L. Galano, University of Gainesville, FL, USA Homology Florence, Firenze, Italy An Introduction to In presenting this treatment of homological Fundamentals of the Mathematical Epidemiology algebra, it is a pleasure to acknowledge Mechanics of Solids the help and encouragement which I have The book is a comprehensive, self-contained had from all sides. Homological algebra This distinctive textbook aims to introduce introduction to the mathematical modeling arose from many sources in algebra and readers to the basic structures of the and analysis of infectious diseases. It topology. Decisive examples came from the mechanics of deformable bodies, with a includes model building, fitting to data, study of group extensions and their factor special emphasis on the description of the local and global analysis techniques. Various sets, a subject I learned in joint work with elastic behavior of simple materials and types of deterministic dynamical models are OTTO SCHIL LING. A further development structures composed by elastic beams. considered: ordinary differential equation of homological ideas, with a view to their The authors take a deductive rather than models, delay-differential equation models, topological applications, came in my long inductive approach and start from a few first, difference equation models, age-structured collaboration with SAMUEL ElLENBERG; to foundational principles. A wide selection PDE models and diffusion models. It includes both collaborators, especial thanks. [...] of exercises, many with hints and solutions, various techniques for the computation of 1995. X, 422 p. (Classics in Mathematics) are provided throughout and organized the basic reproduction number as well as Softcover in a way that will allow readers to form approaches to the epidemiological inter- a link between abstract mathematical pretation of the reproduction number. [...] € (D) 53,49 | € (A) 54,99 | *CHF 56.50 concepts and real-world applications. [...] € 49,99 | £ 44,99 2015. XIV, 453 p. 103 illus., 60 illus. in color. 2015. XXIII, 422 p. Hardcover (Texts in Applied Mathematics, Volume 61) Yellow Sale Price € (D) 64,19 | € (A) 65,99 | *CHF 68.00 Hardcover € (D) 26,74 | € (A) 27,49 | *CHF 27.50 € 59,99 | £ 53,99 € (D) 64,19 | € (A) 65,99 | *CHF 68.00 € 24,99 | £ 18,99 € 59,99 | £ 53,99 978-3-540-58662-3 Yellow Sale Price € (D) 32,09 | € (A) 32,99 | *CHF 33.00 Yellow Sale Price ,!7ID5E0-figgcd! € 29,99 | £ 22,99 € (D) 32,09 | € (A) 32,99 | *CHF 33.00 978-1-4939-3132-3 € 29,99 | £ 22,99 978-1-4899-7611-6 ,!7IB4J3-jdbdcd! ,!7IB4I9-jhgbbg!

M. Manetti, Sapienza - Università di Roma, D. Marker G. E. Martin Roma, Italy Model Theory : An Introduction Counting: The Art of Topology Enumerative Combinatorics 2002. VIII, 345 p. (Graduate Texts in This is an introductory textbook on general Mathematics, Volume 217) Hardcover Counting is hard. “Counting” is short for and algebraic topology, aimed at anyone € (D) 53,45 | € (A) 54,95 | *CHF 77.50 “Enumerative Combinatorics,” which with a basic knowledge of calculus and € 49,95 | £ 44,99 certainly doesn’t sound easy. This book linear algebra. It provides full proofs and provides an introduction to discrete includes many examples and exercises. [...] Yellow Sale Price mathematics that addresses questions that € (D) 26,74 | € (A) 27,49 | *CHF 27.50 begin, How many ways are there to... At 2015. XII, 309 p. 72 illus. (UNITEXT, Volume 91) € 24,99 | £ 18,99 Softcover the end of the book the reader should be 978-0-387-98760-6 able to answer such nontrivial counting € (D) 48,14 | € (A) 49,49 | *CHF 51.00 questions as, How many ways are there to € 44,99 | £ 40,99 ,!7IA3I7-jihgag! stack n poker chips, each of which can be Yellow Sale Price red, white, blue, or green, such that each € (D) 26,74 | € (A) 27,49 | *CHF 27.50 red chip is adjacent to at least 1 green € 24,99 | £ 18,99 chip? There are no prerequisites for this course beyond mathematical maturity. [...] 978-3-319-16957-6 2001. XII, 252 p. (Undergraduate Texts in ,!7ID3B9-bgjfhg! Mathematics) Hardcover € (D) 59,87 | € (A) 61,55 | *CHF 86.50 € 55,95 | £ 50,99 Yellow Sale Price € (D) 28,88 | € (A) 29,69 | *CHF 30.00 € 26,99 | £ 19,99 978-0-387-95225-3 ,!7IA3I7-jfccfd!

51 Yellow Sale 2017 springer.com | English Titles

J. Matousek, Charles University, Prague, J. Matoušek R. D. Mauldin, University of North Texas, San Cambodia; B. Gärtner, Diego, CA, USA (Ed) Lectures on Discrete Geometry Understanding and Using The Scottish Book Linear Programming Discrete geometry investigates combinatorial properties of configurations of geometric The second edition of this book updates This is an introductory textbook of objects. To a working mathematician or and expands upon a historically important linear programming, written mainly computer scientist, it offers sophisticated collection of mathematical problems first for students of computer science and results and techniques of great diversity published in the United States by Birkhäuser mathematics. Our guiding phrase is, “what and it is a foundation for fields such as in 1981. These problems serve as a record everytheoreticalcomputerscientistshould- computational geometry or combinatorial of the informal discussions held by a group knowaboutlinearprogramming.” The book optimization. This book is primarily a of mathematicians at the Scottish Café is relatively concise, in order to allow the textbook introduction to various areas of in Lwów, Poland, between the two world reader to focus on the basic ideas. For a discrete geometry. In each area, it explains wars. Many of them were leaders in the number of topics commonly appearing several key results and methods, in an development of such areas as functional in thicker books on the subject, we were accessible and concrete manner. [...] and real analysis, group theory, measure and set theory, probability, and topology. [...] seriously tempted to add them to the 2002. XVI, 486 p. (Graduate Texts in main text, but we decided to present them Mathematics, Volume 212) Hardcover 2nd ed. 2015. XVIII, 322 p. 23 illus., 4 illus. in only very y in a separate glossary. At the color. Hardcover same time, we aim at covering the main € (D) 86,62 | € (A) 89,05 | *CHF 125.50 results with complete proofs and in [...] € 80,95 | £ 72,50 € (D) 101,64 | € (A) 104,49 | *CHF 107.00 € 94,99 | £ 85,50 2007. VIII, 226 p. 62 illus. (Universitext) Yellow Sale Price Softcover € (D) 42,79 | € (A) 43,99 | *CHF 44.00 Yellow Sale Price € 39,99 | £ 29,99 € (D) 58,84 | € (A) 60,49 | *CHF 60.50 € (D) 48,10 | € (A) 49,45 | *CHF 64.50 € 54,99 | £ 40,99 € 44,95 | £ 39,99 978-0-387-95373-1 978-3-319-22896-9 Yellow Sale Price ,!7IA3I7-jfdhdb! € (D) 26,74 | € (A) 27,49 | *CHF 27.50 ,!7ID3B9-ccijgj! € 24,99 | £ 18,99 978-3-540-30697-9 ,!7ID5E0-dagjhj!

J. Matousek, Charles University, Prague, J. Matoušek V. C. Mavron; T. N. Phillips Cambodia Lectures on Discrete Geometry Elements of Mathematics for Using the Borsuk-Ulam Theorem Economics and Finance Discrete geometry investigates combinato- A number of important results in rial properties of configurations of geometric Based on over 15 years’ experience in the combinatorics, discrete geometry, and objects. To a working mathematician or design and delivery of successful first-year theoretical computer science have been computer scientist, it offers sophisticated courses, this book equips undergraduates proved using algebraic topology. While the results and techniques of great diversity with the mathematical skills required for results are quite famous, their proofs are not and it is a foundation for fields such as degree courses in economics, finance, so widely understood. They are scattered computational geometry or combinatorial management and business studies. The in research papers or outlined in surveys, optimization. This book is primarily a book starts with a summary of basic skills and they often use topological notions not textbook introduction to various areas of and takes its readers as far as constrained commonly known among combinatorialists discrete geometry. In each area, it explains optimisation helping them to become or computer scientists. This book is the first several key results and methods, in an confident and competent in the use of textbook treatment of a significant part of accessible and concrete manner. [...] mathematical tools and techniques that such results. It focuses on so-called equiv- 2002. XVI, 486 p. (Graduate Texts in can be applied to a range of problems ariant methods, based on the Borsuk-Ulam Mathematics, Volume 212) Softcover in economics and finance. [...] theorem and its generalizations. [...] € (D) 53,49 | € (A) 54,99 | *CHF 58.50 2007. X, 312 p. Softcover 2003. XII, 214 p. (Universitext) Softcover € 49,99 | £ 46,99 € (D) 42,75 | € (A) 43,95 | *CHF 57.50 € (D) 53,49 | € (A) 54,99 | *CHF 56.50 € 39,95 | £ 19,95 € 49,99 | £ 44,99 Yellow Sale Price € (D) 26,74 | € (A) 27,49 | *CHF 27.50 Yellow Sale Price Yellow Sale Price € 24,99 | £ 18,99 € (D) 21,39 | € (A) 21,99 | *CHF 22.00 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 978-0-387-95374-8 € 19,99 | £ 14,99 € 24,99 | £ 18,99 978-1-84628-560-8 978-3-540-00362-5 ,!7IA3I7-jfdhei! ,!7ID5E0-aadgcf! ,!7IB8E6-cifgai!

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A. Mele, University of Lugano, Lugano, A. N. Michel, University of Notre Dame, T. Mikosch, University Copenhagen Inst. Switzerland; Y. Obayashi, Applied Academics Notre Dame, IN, USA; L. Hou, St. Cloud State Mathematical Sciences, Copenhagen, LLC, New York, NY, USA University Dept. Electrical & Computer Denmark Engineering, St. Cloud, MN, USA; D. Liu, The Price of Fixed Income University of Illinois at Chicago, Chicago, IL, Non-Life Insurance Mathematics Market Volatility USA The second edition of this book contains Fixed income volatility and equity Stability of Dynamical Systems both basic and more advanced - terial on volatility evolve heterogeneously over non-life insurance mathematics. Parts I and time, co-moving disproportionately during The second edition of this textbook provides II of the book cover the basic course of the periods of global imbalances and each a single source for the analysis of system rst edition; this text has changed very little. reacting to events of different nature. models represented by continuous-time It aims at the undergraduate (bachelor) While the methodology for options-based and discrete-time, finite-dimensional and actuarial student as a rst introduction to the “model-free” pricing of equity volatility infinite-dimensional, and continuous and topics of non-life insurance mathematics. has been known for some time, little is discontinuous dynamical systems. For these Parts III and IV are new. They can serve known about analogous methodologies for system models, it presents results which as an independent course on stochastic pricing various fixed income volatilities. [...] comprise the classical Lyapunov stability models of non-life insurance mathematics theory involving monotonic Lyapunov at the graduate (master) level. [...] 2015. XI, 250 p. 52 illus., 7 illus. in color. functions, as well as corresponding 2nd ed. 2009. XV, 432 p. 55 illus. (Universitext) (Springer Finance) Hardcover contemporary stability results involving Softcover € (D) 64,19 | € (A) 65,99 | *CHF 66.00 non-monotonic Lyapunov functions. [...] € 59,99 | £ 44,99 € (D) 53,45 | € (A) 54,95 | *CHF 72.00 2nd ed. 2015. XVIII, 653 p. 60 illus., 14 illus. € 49,95 | £ 44,99 Yellow Sale Price in color. (Systems & Control: Foundations & € (D) 32,09 | € (A) 32,99 | *CHF 33.00 Applications) Hardcover Yellow Sale Price ( ) | ( ) | € 29,99 | £ 22,99 € (D) 117,69 | € (A) 120,99 | *CHF 146.50 € D 26,74 € A 27,49 *CHF 27.50 € 24,99 | £ 18,99 978-3-319-26522-3 € 109,99 | £ 99,00 978-3-540-88232-9 Yellow Sale Price ,!7ID3B9-cgfccd! € (D) 64,19 | € (A) 65,99 | *CHF 66.00 € 59,99 | £ 44,99 ,!7ID5E0-iicdcj! 978-3-319-15274-5 ,!7ID3B9-bfchef!

S. Meleard, École Polytechnique CNRS, A. Mielke, Angewandte Analysis und R. S. Millman, Georgia Institute of Palaiseau Cedex, France; V. Bansaye, École Stochastik, Berlin, Germany; T. Roubíček, Technology, Atlanta, GA, USA; P. J. Shiue, Polytechnique CNRS, Palaiseau Cedex, Mathematical Institute, Prague, Czech University of Nevada, Las Vegas, Las Vegas, France Republic NV, USA; E. B. Kahn, Bloomsburg University, Bloomsburg, PA, USA Stochastic Models for Rate-Independent Systems Structured Populations Problems and Proofs in This monograph provides both an Numbers and Algebra In this contribution, several probabilistic introduction to and a thorough exposition tools to study population dynamics are of the theory of rate-independent systems, Focusing on an approach of solving rigorous developed. The focus is on scaling limits of which the authors have been working on problems and learning how to prove, this qualitatively different stochastic individual with a lot of collaborators over 15 years. The volume is concentrated on two specific con- based models and the long time behavior focus is mostly on fully rate-independent tent themes, elementary number theory and of some classes of limiting processes. systems, first on an abstract level either algebraic polynomials. The benefit to readers Structured population dynamics are with or even without a linear structure, who are moving from calculus to more modeled by measure-valued processes discussing various concepts of solutions abstract mathematics is to acquire the ability describing the individual behaviors and with full mathematical rigor. [...] to understand proofs through use of the taking into account the demographic 2015. XXII, 660 p. 75 illus., 13 illus. in color. book and the multitude of proofs and prob- and mutational parameters, and possible (Applied Mathematical Sciences, Volume lems that will be covered throughout. This interactions between individuals. [...] 193) Hardcover book is meant to be a transitional precursor to more complex topics in analysis, advanced 2015. X, 107 p. 4 illus. (Mathematical € (D) 117,69 | € (A) 120,99 | *CHF 124.00 number theory, and abstract algebra. [...] Biosciences Institute Lecture Series, Volume € 109,99 | £ 99,00 1.4) Softcover 2015. X, 223 p. 9 illus. Hardcover Yellow Sale Price € (D) 42,79 | € (A) 43,99 | *CHF 45.50 € (D) 42,79 | € (A) 43,99 | *CHF 53.50 € (D) 64,19 | € (A) 65,99 | *CHF 66.00 € 39,99 | £ 35,99 € 39,99 | £ 35,99 € 59,99 | £ 44,99 Yellow Sale Price 978-1-4939-2705-0 Yellow Sale Price € (D) 21,39 | € (A) 21,99 | *CHF 22.00 € (D) 21,39 | € (A) 21,99 | *CHF 22.00 € 19,99 | £ 14,99 ,!7IB4J3-jchafa! € 19,99 | £ 14,99 978-3-319-21710-9 978-3-319-14426-9 ,!7ID3B9-cbhbaj! ,!7ID3B9-beecgj! 53 Yellow Sale 2017 springer.com | English Titles

T. Mochizuki, Kyoto University, Kyoto, Japan F. Mukhamedov, International D. Mumford, Brown University Div. Applied Islamic University Malaysia, Kuantan, Mathematics, Providence, RI, USA Mixed Twistor D-modules Malaysia; N. Ganikhodjaev, International Islamic University Malaysia, Kuantan, Algebraic Geometry I We introduce mixed twistor D-modules Malaysia and establish their fundamental functorial Let me begin with a little history. In the properties. We also prove that they can Quantum Quadratic 20th century, algebraic geometry has be described as the gluing of admissible Operators and Processes gone through at least 3 distinct phases. In variations of mixed twistor structures. In the period 1900-1930, largely under the a sense, mixed twistor D-modules can be Covering both classical and quantum leadership of the 3 Italians, Castelnuovo, regarded as a twistor version of M. Saito’s approaches, this unique and self-con- Enriques and Severi, the subject grew mixed Hodge modules. Alternatively, tained book presents the most recent immensely. In particular, what the late 19th they can be viewed as a mixed version developments in the theory of quadratic century had done for curves, this period of the pure twistor D-modules studied stochastic operators and their Markov did for surfaces: a deep and systematic by C. Sabbah and the author. [...] and related processes. The asymptotic theory of surfaces was created. Moreover, the links between the “synthetic” or purely 2015. XX, 487 p. (Lecture Notes in behavior of dynamical systems generated “algebro-geometric” techniques for studying Mathematics, Volume 2125) Softcover by classical and quantum quadratic operators is investigated and various surfaces, and the topological and analytic € (D) 74,89 | € (A) 76,99 | *CHF 79.00 properties of quantum quadratic operators techniques were thoroughly explored. [...] € 69,99 | £ 62,99 are studied, providing an insight into the 1995. X, 186 p. (Classics in Mathematics) Yellow Sale Price construction of quantum channels. [...] Softcover ( ) | ( ) | € D 37,44 € A 38,49 *CHF 38.50 2015. XIV, 231 p. 1 illus. (Lecture Notes in € (D) 53,49 | € (A) 54,99 | *CHF 56.50 | € 34,99 £ 26,99 Mathematics, Volume 2133) Softcover € 49,99 | £ 44,99 978-3-319-10087-6 € (D) 48,14 | € (A) 49,49 | *CHF 51.00 Yellow Sale Price € 44,99 | £ 40,99 ,!7ID3B9-baaihg! € (D) 26,74 | € (A) 27,49 | *CHF 27.50 Yellow Sale Price € 24,99 | £ 18,99 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 978-3-540-58657-9 € 24,99 | £ 18,99 978-3-319-22836-5 ,!7ID5E0-figfhj! ,!7ID3B9-ccidgf!

M. Morishita, Kyushu University Graduate A. Mukherjee, Indian Statistical Institute D. Mumford, Brown University Div. Applied School of Mathematics, Fukuoka, Japan Statistics and Mathematics Unit, Calcutta, Mathematics, Providence, RI, USA; J. Fogarty, India University of Massachusetts Dept. Knots and Primes Mathematics, Amherst, MA, USA; F. Kirwan, Differential Topology University of Oxford Mathematical Institute, This is a foundation for arithmetic topology Oxford, UK - a new branch of mathematics which This book presents a systematic and is focused upon the analogy between comprehensive account of the theory of Geometric Invariant Theory knot theory and number theory. Starting differentiable manifolds and provides with an informative introduction to its the necessary background for the use of “Geometric Invariant Theory” by Mumford/ origins, namely Gauss, this text provides a fundamental differential topology tools. Fogarty (the first edition was published in background on knots, three manifolds and The text includes, in particular, the earlier 1965, a second, enlarged edition appeared number fields. Common aspects of both works of Stephen Smale, for which he was in 1982) is the standard reference on knot theory and number theory, for instance awarded the Fields Medal. Explicitly, the applications of invariant theory to the knots in three manifolds versus primes in topics covered are Thom transversality, construction of moduli spaces. This third, a number field, are compared throughout Morse theory, theory of handle presen- revised edition has been long awaited for the book. These comparisons begin at an tation, h-cobordism theorem and the by the mathematical community. [...] elementary level, slowly building up to generalised Poincaré conjecture. [...] 3rd ed. 1994. XIV, 294 p. (Ergebnisse der advanced theories in later chapters. [...] 2nd ed. 2015. XIII, 349 p. 25 illus. Hardcover Mathematik und ihrer Grenzgebiete. 2. 2012. XI, 191 p. 42 illus. (Universitext) € (D) 64,19 | € (A) 65,99 | *CHF 68.00 Folge, Volume 34) Hardcover Softcover € 59,99 | £ 53,99 € (D) 160,45 | € (A) 164,95 | *CHF 215.50 € (D) 53,45 | € (A) 54,95 | *CHF 64.95 € 149,95 | £ 135,00 € 49,95 | £ 29,99 Yellow Sale Price € (D) 32,09 | € (A) 32,99 | *CHF 33.00 Yellow Sale Price Yellow Sale Price € 29,99 | £ 22,99 € (D) 80,24 | € (A) 82,49 | *CHF 82.50 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 978-3-319-19044-0 € 74,99 | £ 55,99 € 24,99 | £ 18,99 978-3-540-56963-3 978-1-4471-2157-2 ,!7ID3B9-bjaeea! ,!7IB4E7-bcbfhc! ,!7ID5E0-fgjgdd!

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K. Murasugi, University of Toronto Dept. G. L. Naber, Drexel University Department of Mathematics, Toronto, ON, Canada Mathematics, Philadelphia, PA, USA Knot Theory and Its Applications The Geometry of Minkowski Spacetime Knot theory is a concept in algebraic topology that has found applications to This book offers a presentation of a variety of mathematical problems as the special theory of relativity that is well as to problems in computer science, mathematically rigorous and yet spells biological and medical research, and out in considerable detail the physical mathematical physics. This book is directed significance of the mathematics. It treats, to a broad audience of researchers, in addition to the usual menu of topics one beginning graduate students, and senior is accustomed to finding in introductions undergraduate students in these fields. [...] to special relativity, a wide variety of 1996. X, 341 p. (Modern Birkhäuser Classics) results of more contemporary origin. [...] Softcover 2nd ed. 2012. XVI, 324 p. (Applied € (D) 37,40 | € (A) 38,45 | *CHF 59.90 Mathematical Sciences, Volume 92) € 34,95 | £ 31,99 Hardcover Yellow Sale Price € (D) 64,15 | € (A) 65,95 | *CHF 80.00 € 59,95 | £ 53,99 € (D) 18,18 | € (A) 18,69 | *CHF 19.00 € 16,99 | £ 12,99 Yellow Sale Price 978-0-8176-4718-6 € (D) 32,09 | € (A) 32,99 | *CHF 33.00 € 29,99 | £ 22,99 ,!7IA8B7-gehbig! 978-1-4419-7837-0 ,!7IB4E1-jhidha!

U.S.R. Murty, University of Waterloo G. L. Naber, Drexel University Department of Department of Pure Mathematics, Waterloo, Mathematics, Philadelphia, PA, USA ON, Canada Topology, Geometry Problems in Analytic and Gauge fields Number Theory This is a book on topology and geometry 2nd ed. 2008. XXII, 506 p. (Graduate Texts in and, like any books on subjects as vast as Mathematics, Volume 206) Hardcover these, it has a point-of-view that guided € (D) 58,80 | € (A) 60,45 | *CHF 79.00 the selection of topics. Naber takes the € 54,95 | £ 49,99 view that the rekindled interest that mathematics and physics have shown in Yellow Sale Price each other of late should be fostered and € (D) 28,88 | € (A) 29,69 | *CHF 30.00 that this is best accomplished by allowing € 26,99 | £ 19,99 them to cohabit. The book weaves together 978-0-387-72349-5 rudimentary notions from the classical gauge theory of physics with the topological ,!7IA3I7-hcdejf! and geometrical concepts that became the mathematical models of these notions. [...] 2nd ed. 2011. XX, 437 p. (Texts in Applied Mathematics, Volume 25) Hardcover € (D) 64,19 | € (A) 65,99 | *CHF 67.00 € 59,99 | £ 53,99 Yellow Sale Price € (D) 32,09 | € (A) 32,99 | *CHF 33.00 € 29,99 | £ 22,99 978-1-4419-7253-8 ,!7IB4E1-jhcfdi!

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M. Nevins, University of Ottawa, Ottawa, ON, G. Nierhaus, Universität für Musik und H. Ockendon, University of Oxford Canada; P. E. Trapa, University of Utah, Salt darstellende Kunst, Graz, Austria Mathematical Institute, Oxford, Lake City, UT, USA (Eds) UK; J. R. Ockendon, University of Oxford Algorithmic Composition Mathematical Institute, Oxford, UK Representations of Reductive Groups Algorithmic composition – composing by Waves and Compressible Flow means of formalizable methods – has a Over the last forty years, David Vogan century old tradition not only in occidental Now in its second edition, this book contin- has left an indelible imprint on the music history. This is the first book to provide ues to give readers a broad mathematical representation theory of reductive groups. a detailed overview of prominent procedures basis for modelling and understanding the His groundbreaking ideas have lead to of algorithmic composition in a pragmatic wide range of wave phenomena encoun- deep advances in the theory of real and way rather than by treating formalizable tered in modern applications. New and p-adic groups, and have forged lasting aspects in single works. In addition to an expanded material includes topics such as connections with other subjects, including historic overview, each chapter presents a elastoplastic waves and waves in plasmas, as number theory, automorphic forms, specific class of algorithm in a compositional well as new exercises. Comprehensive col- algebraic geometry, and combinatorics. [...] context by providing a general introduction lections of models are used to illustrate the to its development and theoretical basis and underpinning mathematical methodologies, 2015. XIX, 532 p. 7 illus., 1 illus. in color. describes different musical applications. [...] which include the basic ideas of the relevant (Progress in Mathematics, Volume 312) partial differential equations, characteristics, 2009. X, 287 p. With 20 tables. Hardcover ray theory, asymptotic analysis, dispersion, (Pflichtexemplare STM int. Wien) Hardcover € (D) 117,69 | € (A) 120,99 | *CHF 121.00 shock waves, and weak solutions. [...] € 109,99 | £ 82,00 € (D) 58,84 | € (A) 60,49 | *CHF 62.00 € 54,99 | £ 49,99 2nd ed. 2016. VII, 243 p. 60 illus. in color. Yellow Sale Price (Texts in Applied Mathematics, Volume 47 ) € (D) 64,19 | € (A) 65,99 | *CHF 66.00 Yellow Sale Price Hardcover ( ) | ( ) | € 59,99 | £ 44,99 € D 28,88 € A 29,69 *CHF 30.00 € (D) 53,49 | € (A) 54,99 | *CHF 55.00 € 26,99 | £ 19,99 978-3-319-23442-7 € 49,99 | £ 37,99 978-3-211-75539-6 Yellow Sale Price ,!7ID3B9-cdeech! € (D) 37,44 | € (A) 38,49 | *CHF 38.50 ,!7ID2B1-hffdjg! € 34,99 | £ 26,99 978-1-4939-3379-2 ,!7IB4J3-jddhjc!

H. Niederreiter, Johann Radon Inst. for M. Nisio, Kobe University, Kobe, Japan E. Ohlsson, Länsförsäkringar Alliance, Computational and Applied Mathematics Stockholm, Sweden; B. Johansson, (RICAM), Linz, Austria; A. Winterhof, Johann Stochastic Control Theory Länsförsäkringar Alliance, Stockholm, Radon Inst. for Computational and Applied Sweden This book offers a systematic introduction to Mathematics (RICAM), Linz, Austria the optimal stochastic control theory via the Non-Life Insurance Pricing with Applied Number Theory dynamic programming principle, which is a Generalized Linear Models powerful tool to analyze control problems. This textbook effectively builds a bridge First we consider completely observable Non-life insurance pricing is the art of setting from basic number theory to recent control problems with finite horizons. the price of an insurance policy, taking advances in applied number theory. It Using a time discretization we construct a into consideration varoius properties of presents the first unified account of the four nonlinear semigroup related to the dynamic the insured object and the policy holder. major areas of application where number programming principle (DPP), whose gener- Introduced by British actuaries generalized theory plays a fundamental role, namely ator provides the Hamilton–Jacobi–Bellman linear models (GLMs) have become today cryptography, coding theory, quasi-Monte (HJB) equation, and we characterize the a the standard aproach for tariff analysis. Carlo methods, and pseudorandom value function via the nonlinear semigroup, The book focuses on methods based number generation, allowing the authors besides the viscosity solution theory. [...] on GLMs that have been found useful in to delineate the manifold links and 2nd ed. 2015. XV, 250 p. (Probability Theory actuarial practice and provides a set of interrelations between these areas. [...] and Stochastic Modelling, Volume 72) tools for a tariff analysis. Basic theory of 2015. X, 442 p. 20 illus., 7 illus. in color. Hardcover GLMs in a tariff analysis setting is presented with useful extensions of standarde GLM Hardcover € (D) 90,94 | € (A) 93,49 | *CHF 113.50 theory that are not in common use. [...] € (D) 48,14 | € (A) 49,49 | *CHF 51.00 € 84,99 | £ 76,50 € 44,99 | £ 40,99 2010. XIII, 174 p. (EAA Series) Softcover Yellow Sale Price € (D) 48,14 | € (A) 49,49 | *CHF 51.00 Yellow Sale Price € (D) 50,28 | € (A) 51,69 | *CHF 52.00 € 44,99 | £ 40,99 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 € 46,99 | £ 34,99 € 24,99 | £ 18,99 978-4-431-55122-5 Yellow Sale Price 978-3-319-22320-9 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 ,!7IE4D1-ffbccf! € 24,99 | £ 18,99 ,!7ID3B9-ccdcaj! 978-3-642-10790-0 ,!7ID6E2-bahjaa! 56 springer.com | English Titles Yellow Sale 2017

T. Ohsawa, Nagoya University, Nagoya, A. Olivieri, Università di Parma, Parma, O. M. O’Reilly, University of California, Japan Italy; E. Pitacco, Università di Trieste, Trieste, Berkeley Dept. Mechanical Engineering, Italy Berkeley, CA, USA L² Approaches in Several Complex Variables Introduction to Insurance Engineering Dynamics Mathematics The purpose of this monograph is to 2nd ed. 2010. X, 240 p. Softcover present the current status of a rapidly This second edition expands the first € (D) 53,45 | € (A) 54,95 | *CHF 77.50 developing part of several complex chapters, which focus on the approach to € 49,95 | £ 44,99 variables, motivated by the applicability risk management issues discussed in the first of effective results to algebraic geometry edition, to offer readers a better understand- Yellow Sale Price and differential geometry. Highlighted ing of the risk management process and the € (D) 26,74 | € (A) 27,49 | *CHF 27.50 are the new precise results on the L² relevant quantitative phases. In the following € 24,99 | £ 18,99 extension of holomorphic functions. [...] chapters the book examines life insurance, 978-1-4419-6359-8 non-life insurance and pension plans, pre- 2015. IX, 196 p. 5 illus. (Springer Monographs senting the technical and financial aspects in Mathematics) Hardcover ,!7IB4E1-jgdfji! of risk transfers and insurance without the € (D) 74,89 | € (A) 76,99 | *CHF 79.00 use of complex mathematical tools. [...] € 69,99 | £ 62,99 2nd ed. 2015. XVIII, 508 p. 195 illus., 21 illus. in Yellow Sale Price color. (EAA Series) Softcover ( ) | ( ) | € D 37,44 € A 38,49 *CHF 38.50 € (D) 74,89 | € (A) 76,99 | *CHF 79.00 | € 34,99 £ 26,99 € 69,99 | £ 62,99 978-4-431-55746-3 Yellow Sale Price € (D) 37,44 | € (A) 38,49 | *CHF 38.50 ,!7IE4D1-ffhegd! € 34,99 | £ 26,99 978-3-319-21376-7 ,!7ID3B9-cbdhgh!

B. Øksendal, University of Oslo CMA, Oslo, P. J. Olver N. Ortner, University of Innsbruck, Innsbruck, Norway; A. Sulem, INRIA Domaine de Austria; P. Wagner, University of Innsbruck, Voluceau-Rocquencourt, Le Chesnay CX, Applications of Lie Groups Innsbruck, Austria France to Differential Equations Fundamental Solutions of Linear Applied Stochastic Control Symmetry methods have long been Partial Differential Operators of Jump Diffusions recognized to be of great importance for the study of the differential equations. This monograph provides the theoretical 2nd ed. 2007. XIV, 262 p. 27 illus. This book provides a solid introduction foundations needed for the construction (Universitext) Softcover to those applications of Lie groups to of fundamental solutions and fundamental € (D) 42,75 | € (A) 43,95 | *CHF 57.50 differential equations which have proved matrices of (systems of) linear partial differ- € 39,95 | £ 31,99 to be useful in practice. The computational ential equations. Many illustrative examples methods are presented so that graduate also show techniques for finding such Yellow Sale Price students and researchers can readily learn solutions in terms of integrals. Particular € (D) 21,39 | € (A) 21,99 | *CHF 22.00 to use them. Following an exposition of attention is given to developing the funda- € 19,99 | £ 14,99 the applications, the book develops the mentals of distribution theory, accompanied 978-3-540-69825-8 underlying theory. Many of the topics are by calculations of fundamental solutions. [...] presented in a novel way, with an emphasis 2015. XII, 398 p. 5 illus. Hardcover on explicit examples and computations. [...] ,!7ID5E0-gjicfi! € (D) 101,64 | € (A) 104,49 | *CHF 107.00 2nd ed. 1993. XXVIII, 513 p. (Graduate Texts in € 94,99 | £ 85,50 Mathematics, Volume 107) Softcover € (D) 52,38 | € (A) 53,85 | *CHF 75.00 Yellow Sale Price ( ) | ( ) | € 48,95 | £ 43,99 € D 58,84 € A 60,49 *CHF 60.50 € 54,99 | £ 40,99 Yellow Sale Price 978-3-319-20139-9 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 € 24,99 | £ 18,99 ,!7ID3B9-cabdjj! 978-0-387-95000-6 ,!7IA3I7-jfaaag!

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M. S. Osborne, University of Washington, Kim Williams Books, Torino, S. Pedersen, Wright State University, Dayton, Seattle, WA, USA Italy; M. J. Ostwald, The University of OH, USA Newcastle, Callaghan, Australia (Eds) Locally Convex Spaces From Calculus to Analysis Architecture and Mathematics For most practicing analysts who use from Antiquity to the Future This textbook features applications including functional analysis, the restriction to Banach a proof of the Fundamental Theorem of spaces seen in most real analysis graduate Every age and every culture has relied Algebra, space filling curves, and the theory texts is not enough for their research. This on the incorporation of mathematics in of irrational numbers. In addition to the graduate text, while focusing on locally con- their works of architecture to imbue the standard results of advanced calculus, vex topological vector spaces, is intended built environment with meaning and the book contains several interesting to cover most of the general theory needed order. Mathematics is also central to the applications of these results. The text is for application to other areas of analysis. production of architecture, to its methods intended to form a bridge between calculus Normed vector spaces, Banach spaces, and of measurement, fabrication and analysis. and analysis. It is based on the authors Hilbert spaces are all examples of classes of This two-volume edited collection presents lecture notes used and revised nearly locally convex spaces, which is why this is an a detailed portrait of the ways in which every year over the last decade. The book important topic in functional analysis. [...] two seemingly different disciplines are contains numerous illustrations and cross references throughout, as well as exercises 2014. VIII, 213 p. 5 illus. (Graduate Texts in interconnected. Over almost 100 chapters with solutions at the end of each section. Mathematics, Volume 269) Hardcover it illustrates and examines the relationship between architecture and mathematics. [...] € (D) 53,49 | € (A) 54,99 | *CHF 67.00 2015. XIX, 342 p. 48 illus., 14 illus. in color. € 49,99 | £ 44,99 2015. XIX, 735 p. 408 illus., 58 illus. in color. Hardcover Hardcover € (D) 53,49 | € (A) 54,99 | *CHF 67.00 Yellow Sale Price € (D) 117,69 | € (A) 120,99 | *CHF 146.50 € 49,99 | £ 44,99 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 € 109,99 | £ 99,00 € 24,99 | £ 18,99 Yellow Sale Price 978-3-319-02044-0 Yellow Sale Price € (D) 26,74 | € (A) 27,49 | *CHF 27.50 € (D) 64,19 | € (A) 65,99 | *CHF 66.00 € 24,99 | £ 18,99 ,!7ID3B9-acaeea! € 59,99 | £ 44,99 978-3-319-13640-0 978-3-319-00136-4 ,!7ID3B9-bdgeaa! ,!7ID3B9-aabdge!

S. . Osher; R. Fedkiw Kim Williams Books, Torino, B. Perthame, Université Pierre et Marie Curie, Italy; M. J. Ostwald, The University of Paris Level Set Methods and Newcastle, Callaghan, NSW, Australia (Eds) Dynamic Implicit Surfaces Parabolic Equations in Biology Architecture and Mathematics Scope, Aims, and Audiences This book, Level from Antiquity to the Future This book presents several fundamental Set Methods and Dynamic Implicit Surfaces questions in mathematical biology such is designed to serve two purposes: Parts I Every age and every culture has relied as Turing instability, pattern formation, and II introduce the reader to implicit sur- on the incorporation of mathematics in reaction-diffusion systems, invasion waves faces and level set methods. We have used their works of architecture to imbue the and Fokker-Planck equations. These are these chapters to teach introductory courses built environment with meaning and classical modeling tools for mathematical on the material to students with little more order. Mathematics is also central to the biology with applications to ecology and than a fundamental math background. No production of architecture, to its methods population dynamics, the neurosciences, prior knowledge of partial erential equations of measurement, fabrication and analysis. enzymatic reactions, chemotaxis, invasion or numerical analysis is required. These rst This two-volume edited collection presents waves etc. The book presents these aspects eight chapters include enough detailed a detailed portrait of the ways in which from a mathematical perspective, with information to allow students to create two seemingly different disciplines are the aim of identifying those qualitative working level set codes from scratch. [...] interconnected. Over almost 100 chapters properties of the models that are relevant it illustrates and examines the relationship for biological applications. [...] 2003. XIII, 273 p. 153 illus., 47 illus. in color. between architecture and mathematics. [...] (Applied Mathematical Sciences, Volume 2015. XII, 199 p. 39 illus., 13 illus. in color. 153) Hardcover 2015. XIX, 690 p. 365 illus., 79 illus. in color. (Lecture Notes on Mathematical Modelling in the Life Sciences) Softcover € (D) 71,64 | € (A) 73,65 | *CHF 103.50 Hardcover € 66,95 | £ 59,99 € (D) 117,69 | € (A) 120,99 | *CHF 146.50 € (D) 42,80 | € (A) 44,00 | *CHF 45.50 € 109,99 | £ 99,00 € 40,00 | £ 36,99 Yellow Sale Price € (D) 37,44 | € (A) 38,49 | *CHF 38.50 Yellow Sale Price Yellow Sale Price € 34,99 | £ 26,99 € (D) 64,19 | € (A) 65,99 | *CHF 66.00 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 € 24,99 | £ 18,99 978-0-387-95482-0 € 59,99 | £ 44,99 978-3-319-00142-5 978-3-319-19499-8 ,!7IA3I7-jfeica! ,!7ID3B9-aabecf! ,!7ID3B9-bjejji!

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T. K. Petersen, DePaul University, Chicago, G. E. Pfander, Jacobs University Bremen, E. Pitacco, University of Trieste, Trieste, Italy IL, USA Bremen, Germany (Ed) Health Insurance Eulerian Numbers Sampling Theory, a Renaissance Health Insurance aims at filling a gap This text presents the Eulerian numbers Reconstructing or approximating objects in actuarial literature, attempting to in the context of modern enumerative, from seemingly incomplete information is a solve the frequent misunderstanding algebraic, and geometric combinatorics. frequent challenge in mathematics, science, in regards to both the purpose and the The book first studies Eulerian numbers and engineering. A multitude of tools contents of health insurance products from a purely combinatorial point of view, designed to recover hidden information (and ‘protection products’, more generally) then embarks on a tour of how these are based on Shannon’s classical sampling on the one hand, and the relevant numbers arise in the study of hyperplane theorem, a central pillar of Sampling Theory. actuarial structures on the other. [...] arrangements, polytopes, and simplicial The growing need to efficiently obtain 2014. XII, 162 p. 77 illus., 14 illus. in color. (EAA complexes. Some topics include a thorough precise and tailored digital representations Series) Softcover discussion of gamma-nonnegativity and of complex objects and phenomena requires real-rootedness for Eulerian polynomials, as the maturation of available tools in Sampling € (D) 42,79 | € (A) 43,99 | *CHF 53.50 well as the weak order and the shard inter- Theory as well as the development of com- € 39,99 | £ 35,99 section order of the symmetric group. [...] plementary, novel mathematical theories. [...] Yellow Sale Price 2015. XVIII, 456 p. 78 illus., 4 illus. in 2015. XIV, 532 p. 69 illus., 40 illus. in color. € (D) 21,39 | € (A) 21,99 | *CHF 22.00 color. (Birkhäuser Advanced Texts Basler (Applied and Numerical Harmonic Analysis) € 19,99 | £ 14,99 Lehrbücher) Hardcover Hardcover 978-3-319-12234-2 € (D) 64,19 | € (A) 65,99 | *CHF 68.00 € (D) 101,64 | € (A) 104,49 | *CHF 107.00 € 59,99 | £ 53,99 € 94,99 | £ 85,50 ,!7ID3B9-bccdec! Yellow Sale Price Yellow Sale Price € (D) 32,09 | € (A) 32,99 | *CHF 33.00 € (D) 58,84 | € (A) 60,49 | *CHF 60.50 € 29,99 | £ 22,99 € 54,99 | £ 40,99 978-1-4939-3090-6 978-3-319-19748-7 ,!7IB4J3-jdajag! ,!7ID3B9-bjheih!

J. Peypouquet, Universidad Técnica M. L. Pinedo, New York University Stern M. Podolskij, University of Aarhus, Aarhus, Federico, Valparaíso, Chile School of Business, New York, NY, USA Denmark; R. Stelzer, Ulm University, Ulm, Germany; S. Thorbjørnsen, University of Convex Optimization Scheduling Aarhus, Aarhus C; A. E. D. Veraart, Imperial in Normed Spaces College London, London, UK (Eds) This new edition provides an up-to-date This work is intended to serve as a guide for coverage of important theoretical models The Fascination of Probability, graduate students and researchers who wish in the scheduling literature as well as Statistics and their Applications to get acquainted with the main theoretical significant scheduling problems that and practical tools for the numerical minimi- occur in the real world. It again includes Collecting together twenty-three self-con- zation of convex functions on Hilbert spaces. supplementary material in the form of slide- tained articles, this volume presents the Therefore, it contains the main tools that are shows from industry and movies that show current research of a number of renowned necessary to conduct independent research implementations of scheduling systems. scientists in both probability theory and on the topic. It is also a concise, easy-to- The main structure of the book as per statistics as well as their various applications follow and self-contained textbook, which previous edition consists of three parts. [...] in economics, finance, the physics of may be useful for any researcher working 5th ed. 2016. XX, 670 p. 124 illus., 21 illus. in wind-blown sand, queueing systems, risk on related fields, as well as teachers giving color. Hardcover assessment, turbulence and other areas. [...] graduate-level courses on the topic. [...] € (D) 74,89 | € (A) 76,99 | *CHF 77.00 2016. XVIII, 527 p. 60 illus., 34 illus. in color. 2015. XIV, 124 p. 17 illus. (SpringerBriefs in € 69,99 | £ 52,99 Hardcover Optimization) Softcover Yellow Sale Price € (D) 101,64 | € (A) 104,49 | *CHF 104.50 € (D) 53,49 | € (A) 54,99 | *CHF 67.00 € 94,99 | £ 71,00 € (D) 50,28 | € (A) 51,69 | *CHF 52.00 € 49,99 | £ 44,99 € 46,99 | £ 34,99 Yellow Sale Price Yellow Sale Price 978-3-319-26578-0 € (D) 69,54 | € (A) 71,49 | *CHF 71.50 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 € 64,99 | £ 48,99 € 24,99 | £ 18,99 ,!7ID3B9-cgfhia! 978-3-319-25824-9 978-3-319-13709-4 ,!7ID3B9-bdhaje! ,!7ID3B9-cficej!

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B. Polster, Monash University School G. Polya, G. Szegö A. Pratelli, Universität Erlangen‐Nürnberg, of Mathematical Sciences, Clayton, VIC, Erlangen, Germany; G. Leugering, Australia Problems and Theorems Universität Erlangen-Nürnberg, Erlangen, in Analysis II Germany (Eds) The Mathematics of Juggling 1998. XII, 392 p. (Classics in Mathematics) New Trends in Shape As a juggler the author likes to finish his Softcover Optimization performances with a stunt that combines € (D) 53,49 | € (A) 54,99 | *CHF 56.50 props and techniques from a variety of € 49,99 | £ 44,99 This volume reflects “New Trends in juggling disciplines. Imagine him idling on a Shape Optimization” and is based on a giraffe unicycle, while balancing a spinning Yellow Sale Price workshop of the same name organized basketball on a mouth stick, and toss-jug- € (D) 26,74 | € (A) 27,49 | *CHF 27.50 at the Friedrich-Alexander University gling a sword, a toilet plunger, and a rubber € 24,99 | £ 18,99 Erlangen-Nürnberg in September 2013. chicken. As a mathematician he is also 978-3-540-63686-1 During the workshop senior mathematicians interested in the treasure trove of beautiful and young scientists alike presented their mathematics used to model the different ,!7ID5E0-gdgigb! latest findings. The format of the meeting activities in a juggler’s repertoire. [...] allowed fruitful discussions on challenging 2003. XVII, 226 p. (1+2-Pferdchen) Softcover open problems, and triggered a number of new and spontaneous collaborations. [...] € (D) 39,54 | € (A) 40,65 | *CHF 57.50 € 36,95 | £ 26,99 2015. VIII, 314 p. 52 illus., 29 illus. in color. (International Series of Numerical Yellow Sale Price Mathematics, Volume 166) Hardcover € (D) 18,18 | € (A) 18,69 | *CHF 19.00 € (D) 90,94 | € (A) 93,49 | *CHF 93.50 € 16,99 | £ 12,99 € 84,99 | £ 63,99 978-0-387-95513-1 Yellow Sale Price ,!7IA3I7-jffbdb! € (D) 50,28 | € (A) 51,69 | *CHF 52.00 € 46,99 | £ 34,99 978-3-319-17562-1 ,!7ID3B9-bhfgcb!

G. Polya, G. Szegö C. Pomerance, Dartmouth College, Hanover, C. Procesi, Università di Roma “La Sapienza”, NH, USA; M. Th. Rassias, ETH-Zürich, Zürich, Roma, Italy Problems and Theorems Switzerland (Eds) in Analysis I Lie Groups Analytic Number Theory From the reviews: “The work is one of the Lie groups has been an increasing real classics of this century; it has had much This volume contains a collection of area of focus and rich research since influence on teaching, on research in several research and survey papers written by the middle of the 20th century. [...] some of the most eminent mathematicians branches of hard analysis, particularly 2007. XXIV, 600 p. 18 illus. (Universitext) in the international community and is complex function theory, and it has been Softcover an essential indispensable source book for dedicated to Helmut Maier, whose own those seriously interested in mathematical research has been groundbreaking and € (D) 53,45 | € (A) 54,95 | *CHF 75.00 problems. These volumes contain many deeply influential to the field. [...] € 49,95 | £ 43,99 extraordinary problems and sequences of 2015. VIII, 379 p. Hardcover Yellow Sale Price problems, mostly from some time past, well ( ) | ( ) | € (D) 101,64 | € (A) 104,49 | *CHF 107.00 € D 26,74 € A 27,49 *CHF 27.50 worth attention today and tomorrow. [...] | € 94,99 | £ 85,50 € 24,99 £ 18,99 1998. XIX, 393 p. (Classics in Mathematics) 978-0-387-26040-2 Softcover Yellow Sale Price € (D) 58,84 | € (A) 60,49 | *CHF 60.50 € (D) 53,49 | € (A) 54,99 | *CHF 56.50 € 54,99 | £ 40,99 ,!7IA3I7-cgaeac! € 49,99 | £ 44,99 978-3-319-22239-4 Yellow Sale Price € (D) 26,74 | € (A) 27,49 | *CHF 27.50 ,!7ID3B9-cccdje! € 24,99 | £ 18,99 978-3-540-63640-3 ,!7ID5E0-gdgead!

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C. C. Pugh, University of California, Berkeley, A. Quarteroni, École Polytechnique Fédérale J. Ratcliffe, Vanderbilt University Dept. Berkeley, CA, USA de Lausanne Chaire de Modelisation, Mathematics, Nashville, TN, USA Lausanne, Switzerland; R. Sacco, Politecnico Real Mathematical Analysis di Milano MOX, Milano, Italy; F. Saleri, Foundations of Politecnico di Milano MOX, Milano, Italy Hyperbolic Manifolds Based on an honors course taught by the author at UC Berkeley, this introduction to Numerical Mathematics 2nd ed. 2006. XII, 782 p. (Graduate Texts in undergraduate real analysis gives a different Mathematics, Volume 149) Hardcover emphasis by stressing the importance Numerical mathematics proposes, € (D) 58,80 | € (A) 60,45 | *CHF 86.50 of pictures and hard problems. Topics develops, analyzes and applies methods € 54,95 | £ 49,99 include: a natural construction of the real from scientific computing to several fields numbers, four-dimensional visualization, including analysis, linear algebra, geometry, Yellow Sale Price basic point-set topology, function spaces, approximation theory, functional equations, € (D) 28,88 | € (A) 29,69 | *CHF 30.00 multivariable calculus via differential forms optimization and differential equations. € 26,99 | £ 19,99 (leading to a simple proof of the Brouwer This book provides the mathematical 978-0-387-33197-3 Fixed Point Theorem), and a pictorial foundations of numerical methods and treatment of Lebesgue theory. Over 150 demonstrate their performance on exam- detailed illustrations elucidate abstract ples, exercises and real-life applications. ,!7IA3I7-ddbjhd! concepts and salient points in proofs. [...] This is done using the MATLAB software environment, which allows an easy imple- 2nd ed. 2015. XI, 478 p. 163 illus. mentation and testing of the algorithms (Undergraduate Texts in Mathematics) for any specific class of problems. [...] Hardcover € (D) 48,14 | € (A) 49,49 | *CHF 51.00 2nd ed. 2007. XVIII, 657 p. 135 illus. (Texts in € 44,99 | £ 40,99 Applied Mathematics, Volume 37) Hardcover € (D) 69,50 | € (A) 71,45 | *CHF 93.50 Yellow Sale Price € 64,95 | £ 58,99 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 € 24,99 | £ 18,99 Yellow Sale Price 978-3-319-17770-0 € (D) 37,44 | € (A) 38,49 | *CHF 38.50 € 34,99 | £ 26,99 ,!7ID3B9-bhhhaa! 978-3-540-34658-6 ,!7ID5E0-degfig!

A. Quarteroni, École Polytechnique Fédérale A. Quarteroni, École Polytechnique J. Remmel, University of California at San de Lausanne Chaire de Modelisation, Fédérale de Lausanne, Lausanne, Die , LA JOLLA, CA; A. Mendes, California Lausanne, Switzerland; A. Valli, Università di Switzerland; A. Manzoni, École Polytechnic State University, San Luis Obispo, Trento Dipto. Matematica, Povo, Italy Polytechnique Fédérale de Lausanne, CA, USA Lausanne, Switzerland; F. Negri, École Numerical Approximation of Polytechnique Fédérale de Lausanne, Counting with Symmetric Partial Differential Equations Lausanne, Switzerland Functions Everything is more simple than one thinks Reduced Basis Methods for This monograph provides a self-contained but at the same time more complex than Partial Differential Equations introduction to symmetric functions and one can understand Johann Wolfgang von their use in enumerative combinatorics. It is Goethe To reach the point that is unknown This book provides a basic introduction to the first book to explore many of the meth- to you, you must take the road that is reduced basis (RB) methods for problems ods and results that the authors present. unknown to you St. John of the Cross This involving the repeated solution of partial Numerous exercises are included through- is a book on the numerical approximation differential equations (PDEs) arising from out, along with full solutions, to illustrate ofpartial differential equations (PDEs). [...] engineering and applied sciences, such concepts and also highlight many interesting as PDEs depending on several parameters mathematical ideas. The text begins by intro- 1994. XVI, 544 p. 59 illus. (Springer Series in and PDE-constrained optimization. [...] ducing fundamental combinatorial objects Computational Mathematics, Volume 23) such as permutations and integer partitions, Softcover 2016. XI, 296 p. (UNITEXT, Volume 92) as well as generating functions. [...] € (D) 82,38 | € (A) 84,69 | *CHF 85.00 Softcover € 76,99 | £ 57,99 € (D) 53,49 | € (A) 54,99 | *CHF 56.50 2015. X, 292 p. 209 illus. (Developments in € 49,99 | £ 44,99 Mathematics, Volume 43) Hardcover Yellow Sale Price € (D) 90,94 | € (A) 93,49 | *CHF 93.50 ( ) | ( ) | € D 39,58 € A 40,69 *CHF 41.00 Yellow Sale Price € 84,99 | £ 63,99 € 36,99 | £ 27,99 € (D) 37,44 | € (A) 38,49 | *CHF 38.50 978-3-540-85267-4 € 34,99 | £ 26,99 Yellow Sale Price 978-3-319-15430-5 € (D) 50,28 | € (A) 51,69 | *CHF 52.00 ,!7ID5E0-ifcghe! € 46,99 | £ 34,99 ,!7ID3B9-bfedaf! 978-3-319-23617-9 ,!7ID3B9-cdgbhj!

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M. Renardy; R. C. Rogers C. Robert, Université Paris IX UMR CNRS D. Rosenthal, University of Toronto, Toronto, 7534, Paris CX 16, France; G. Casella, ON, Canada; D. Rosenthal, St. John’s An Introduction to Partial University of Florida, Gainesville, FL, USA University, Jamaica, NY, USA; P. Rosenthal, Differential Equations University of Toronto, Toronto, ON, Canada Introducing Monte Carlo Partial differential equations are Methods with R A Readable Introduction fundamental to the modeling of natural to Real Mathematics phenomena, arising in every field of science. Computational techniques based on simu- Consequently, the desire to understand lation have now become an essential part Designed for an undergraduate course or the solutions of these equations has always of the statistician’s toolbox. It is thus crucial for independent study, this text presents had a prominent place in the efforts of to provide statisticians with a practical sophisticated mathematical ideas in an mathematicians; it has inspired such understanding of those methods, and there elementary and friendly fashion. The diverse fields as complex function theory, is no better way to develop intuition and fundamental purpose of this book is to functional analysis and algebraic topology. skills for simulation than to use simulation engage the reader and to teach a real Like algebra, topology, and rational to solve statistical problems. Introducing understanding of mathematical thinking mechanics, partial differential equations Monte Carlo Methods with R covers the while conveying the beauty and elegance of are a core area of mathematics. [...] main tools used in statistical simulation from mathematics. The text focuses on teaching a programmer’s point of view, explaining the understanding of mathematical proofs. 2nd ed. 2004. XIV, 434 p. 21 illus. (Texts in the R implementation of each simulation The material covered has applications both Applied Mathematics, Volume 13) Hardcover technique and providing the output for to mathematics and to other subjects. [...] € (D) 79,13 | € (A) 81,35 | *CHF 116.50 better understanding and comparison. [...] € 73,95 | £ 66,99 2014. XII, 161 p. 50 illus. (Undergraduate Texts 2010. XX, 284 p. (Use R!) Softcover in Mathematics) Hardcover Yellow Sale Price € (D) 58,80 | € (A) 60,45 | *CHF 79.00 € (D) 42,79 | € (A) 43,99 | *CHF 53.50 ( ) | ( ) | € D 37,44 € A 38,49 *CHF 38.50 € 54,95 | £ 49,99 € 39,99 | £ 35,99 € 34,99 | £ 26,99 978-0-387-00444-0 Yellow Sale Price Yellow Sale Price € (D) 28,88 | € (A) 29,69 | *CHF 30.00 € (D) 21,39 | € (A) 21,99 | *CHF 22.00 ,!7IA3I7-aaeeea! € 26,99 | £ 19,99 € 19,99 | £ 14,99 978-1-4419-1575-7 978-3-319-05653-1 ,!7IB4E1-jbfhfh! ,!7ID3B9-afgfdb!

D. Revuz, Université Paris VII U.E.R. S. Roman, California State University, J. Rotman Mathématiques, Paris CX 05, France; M. Yor, Fullerton , IRVINE, CA Université Paris VI CNRS UMR 7599, Paris CX Galois Theory 05, France An Introduction to Catalan Numbers There are too many errors in the first Continuous Martingales edition, and so a “corrected nth print ing” and Brownian Motion This textbook provides an introduction to would have been appropriate. However, the Catalan numbers and their remarkable given the opportunity to make changes, I From the reviews: “This is a magnificent properties, along with their various felt that a second edition would give me book! Its purpose is to describe in applications in combinatorics. Intended the flexibility to change any portion of the considerable detail a variety of techniques to be accessible to students new to the text that I felt I could improve. The first used by probabilists in the investigation subject, the book begins with more ele- edition aimed to give a geodesic path to of problems concerning Brownian motion. mentary topics before progressing to more the Fundamental Theorem of Galois Theory, The great strength of Revuz and Yor is mathematically sophisticated topics. Each and I still think its brevity is valuable. Alas, the enormous variety of calculations chapter focuses on a specific combinatorial the book is now a bit longer, but I feel carried out both in the main text and also object counted by these numbers, including that the changes are worthwhile. [...] (by implication) in the exercises. [...] paths, trees, tilings of a staircase, null sums 2nd ed. 1998. XIV, 176 p. (Universitext) in Zn+1, interval structures, partitions, 3rd ed. 1999. XIII, 602 p. (Grundlehren der Softcover permutations, semiorders, and more. [...] mathematischen Wissenschaften, Volume € (D) 48,10 | € (A) 49,45 | *CHF 69.00 293) Hardcover 2015. XII, 121 p. 44 illus. (Compact Textbooks € 44,95 | £ 40,99 in Mathematics) Hardcover € (D) 106,95 | € (A) 109,95 | *CHF 143.50 Yellow Sale Price € 99,95 | £ 79,00 € (D) 42,79 | € (A) 43,99 | *CHF 45.50 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 € 39,99 | £ 35,99 Yellow Sale Price € 24,99 | £ 18,99 € (D) 53,49 | € (A) 54,99 | *CHF 55.00 Yellow Sale Price 978-0-387-98541-1 € 49,99 | £ 37,99 € (D) 21,39 | € (A) 21,99 | *CHF 22.00 978-3-540-64325-8 € 19,99 | £ 14,99 ,!7IA3I7-jifebb! 978-3-319-22143-4 ,!7ID5E0-gedcfi! ,!7ID3B9-ccbede!

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V. Runde, University of Alberta, Edmonton, L. Ryvkin, Ruhr-Universität Bochum, FB K. Saitô, Sendai, Japan; J. D. M. Wright, AB, Canada Mathematik, Bochum, Germany University of Aberdeen, Aberdeen A Taste of Topology Observables and Symmetries Monotone Complete C*-algebras of n-Plectic Manifolds and Generic Dynamics If mathematics is a language, then taking a topology course at the undergraduate level Leonid Ryvkin gives a motivated and This monograph is about monotone com- is cramming vocabulary and memorizing self-sustained introduction to n-plectic plete C*-algebras, their properties and the irregular verbs: a necessary, but not always geometry with a special focus on sym- new classification theory. A self-contained exciting exercise one has to go through metries. The relevant algebraic structures introduction to generic dynamics is also before one can read great works of literature from scratch are developed. The author included because of its important connec- in the original language. The present book generalizes known symplectic notions, tions to these algebras. Our knowledge grew out of notes for an introductory notably observables and symmetries, to the and understanding of monotone complete topology course at the University of n-plectic case, culminating in solving the C*-algebras has been transformed in recent Alberta. It provides a concise introduction existence question for co-moment maps years. This is a very exciting stage in their to set theoretic topology (and to a tiny for general pre-n-plectic manifolds. Finally development, with much discovered but little bit of algebraic topology). [...] partial results scattered along the literature with many mysteries to unravel. This book 2005. X, 182 p. 17 illus. (Universitext) are derived from our general result. is intended to encourage graduate students and working mathematicians to attack Softcover 2016. VII, 50 p. 1 illus. in color. (BestMasters) some of these difficult questions. [...] € (D) 40,61 | € (A) 41,75 | *CHF 57.50 Softcover € 37,95 | £ 33,99 € (D) 59,99 | € (A) 61,68 | *CHF 62.00 2015. XI, 257 p. (Springer Monographs in Mathematics) Hardcover Yellow Sale Price € 56,07 | £ 41,99 € (D) 90,94 | € (A) 93,49 | *CHF 93.50 € (D) 21,39 | € (A) 21,99 | *CHF 22.00 Yellow Sale Price € 84,99 | £ 63,99 € 19,99 | £ 14,99 € (D) 39,58 | € (A) 40,69 | *CHF 41.00 978-0-387-25790-7 € 36,99 | £ 27,99 Yellow Sale Price 978-3-658-12389-5 € (D) 50,28 | € (A) 51,69 | *CHF 52.00 ,!7IA3I7-cfhjah! € 46,99 | £ 34,99 ,!7ID6F8-bcdijf! 978-1-4471-6773-0 ,!7IB4E7-bghhda!

F. Russo, Università degli Studi di Catania, B. Said-Houari, Alhosn University, Abu S. Salsa, Politecnico di Milano, Milano, Catania Dhabi, United Arab Emirates Italy; G. Verzini, Politecnico di Milano, Milano, Italy On the Geometry of Some Differential Equations: Special Projective Varieties Methods and Applications Partial Differential Equations in Action Providing an introduction to both classical This book presents a variety of techniques and modern techniques in projective for solving ordinary differential equations This textbook presents problems and algebraic geometry, this monograph treats analytically and features a wealth of exercises at various levels of difficulty in the geometrical properties of varieties examples. Focusing on the modeling of the following areas: Classical Methods in embedded in projective spaces, their secant real-world phenomena, it begins with a PDEs (diffusion, waves, transport, potential and tangent lines, the behavior of tangent basic introduction to differential equations, equations); Basic Functional Analysis and linear spaces, the algebro-geometric and followed by linear and nonlinear first order Distribution Theory; Variational Formulation topological obstructions to their embedding equations and a detailed treatment of of Elliptic Problems; and Weak Formulation into smaller projective spaces, and the the second order linear equations. After for Parabolic Problems and for the Wave classification of extremal cases. [...] presenting solution methods for the Equation. Thanks to the broad variety of Laplace transform and power series, it lastly exercises with complete solutions, it can be 2016. XXVI, 232 p. (Lecture Notes of the presents systems of equations and offers used in all basic and advanced PDE courses. Unione Matematica Italiana, Volume 18) an introduction to the stability theory. [...] Softcover 2015. VIII, 431 p. (UNITEXT, Volume 87) € (D) 53,49 | € (A) 54,99 | *CHF 55.00 2015. X, 212 p. 30 illus. (Compact Textbooks Softcover € 49,99 | £ 37,99 in Mathematics) Softcover € (D) 64,19 | € (A) 65,99 | *CHF 80.00 € (D) 42,79 | € (A) 43,99 | *CHF 44.00 € 59,99 | £ 53,99 Yellow Sale Price € 39,99 | £ 29,99 € (D) 37,44 | € (A) 38,49 | *CHF 38.50 Yellow Sale Price € 34,99 | £ 26,99 Yellow Sale Price € (D) 32,09 | € (A) 32,99 | *CHF 33.00 978-3-319-26764-7 € (D) 21,39 | € (A) 21,99 | *CHF 22.00 € 29,99 | £ 22,99 € 19,99 | £ 14,99 978-3-319-15415-2 ,!7ID3B9-cghgeh! 978-3-319-25734-1 ,!7ID3B9-cfhdeb! ,!7ID3B9-bfebfc!

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F. Santambrogio, Université Paris-Sud, Orsay A. S. Schulz, Technische Universität M. R. Sepanski, Baylor University Dept. cedex, France München, Munich, Germany; M. Skutella, Mathematics, Waco, TX, USA Technische Universität Berlin, Berlin, Optimal Transport for Germany; S. Stiller, Technische Universität Compact Lie Groups Applied Mathematicians Braunschweig, Braunschweig, Blending algebra, analysis, and topology, the Germany; D. Wagner, Karlsruher Institut für study of compact Lie groups is one of the This monograph presents a rigorous math- Technologie (KIT), Karlsruhe, Germany (Eds) ematical introduction to optimal transport most beautiful areas of mathematics and a as a variational problem, its use in modeling Gems of Combinatorial key stepping stone to the theory of general various phenomena, and its connections Optimization and Lie groups. Assuming no prior knowledge with partial differential equations. Its main Graph Algorithms of Lie groups, this book covers the structure goal is to provide the reader with the tech- and representation theory of compact Lie niques necessary to understand the current Are you looking for new lectures for your groups. Included is the construction of the research in optimal transport and the tools course on algorithms, combinatorial Spin groups, Schur Orthogonality, the Peter- which are most useful for its applications. [...] optimization, or algorithmic game Weyl Theorem, the Plancherel Theorem, the theory? Maybe you need a convenient Maximal Torus Theorem, the Commutator 2015. XXVII, 353 p. 30 illus., 19 illus. in Theorem, the Weyl Integration and Character color. (Progress in Nonlinear Differential source of relevant, current topics for a graduate student or advanced under- Formulas, the Highest Weight Classification, Equations and Their Applications, Volume and the Borel-Weil Theorem. [...] 87) Hardcover graduate student seminar? [...] 2007. XIII, 201 p. (Graduate Texts in € (D) 64,19 | € (A) 65,99 | *CHF 68.00 2015. X, 150 p. 51 illus., 24 illus. in color. Mathematics, Volume 235) Hardcover € 59,99 | £ 53,99 Hardcover € (D) 43,82 | € (A) 45,05 | *CHF 66.50 Yellow Sale Price € (D) 74,89 | € (A) 76,99 | *CHF 77.00 € 69,99 | £ 52,99 € 40,95 | £ 36,99 € (D) 32,09 | € (A) 32,99 | *CHF 33.00 € 29,99 | £ 22,99 Yellow Sale Price Yellow Sale Price € (D) 21,39 | € (A) 21,99 | *CHF 22.00 978-3-319-20827-5 € (D) 37,44 | € (A) 38,49 | *CHF 38.50 | € 34,99 | £ 26,99 € 19,99 £ 14,99 ,!7ID3B9-caichf! 978-3-319-24970-4 978-0-387-30263-8 ,!7ID3B9-cejhae! ,!7IA3I7-dacgdi!

T. Schlick, New York University Courant Inst. C. J. Scriba, University Hamburg, Hamburg, J. Serre, College de France Paris Chaire Mathematical Sciences, New York, NY, USA Germany; P. Schreiber, University Greifswald, d’Algebre et Geometrie, Paris CX 05, France Greifswald, Germany Molecular Modeling Galois Cohomology and Simulation: An 5000 Years of Geometry This volume is an English translation of Interdisciplinary Guide The present volume provides a fascinating “Cohomologie Galoisienne” . The original 2nd ed. 2010. XLV, 723 p. (Interdisciplinary overview of geometrical ideas and edition (Springer LN5, 1964) was based on Applied Mathematics, Volume 21) Hardcover perceptions from the earliest cultures to the notes, written with the help of Michel the mathematical and artistic concepts of Raynaud, of a course I gave at the College de € (D) 80,24 | € (A) 82,49 | *CHF 83.00 the 20th century. It is the English translation France in 1962-1963. In the present edition € 74,99 | £ 66,99 of the 3rd edition of the well-received there are numerous additions and one Yellow Sale Price German book “5000 Jahre Geometrie,” in suppression: Verdier’s text on the duality of € (D) 39,58 | € (A) 40,69 | *CHF 41.00 which geometry is presented as a chain of profinite groups. The most important addi- € 36,99 | £ 27,99 developments in cultural history and their tion is the photographic reproduction of R. interaction with architecture, the visual arts, Steinberg’s “Regular elements of semisimple 978-1-4419-6350-5 philosophy, science and engineering. [...] algebraic groups”, Publ. Math. LH.E.S., 1965. I am very grateful to him, and to LH.E.S., for 2015. XII, 626 p. 313 illus., 156 illus. in color. ,!7IB4E1-jgdfaf! having authorized this reproduction. [...] Hardcover € (D) 117,69 | € (A) 120,99 | *CHF 146.50 1997. X, 211 p. (Springer Monographs in € 109,99 | £ 99,00 Mathematics) Hardcover € (D) 53,49 | € (A) 54,99 | *CHF 67.00 Yellow Sale Price € 49,99 | £ 44,99 € (D) 64,19 | € (A) 65,99 | *CHF 66.00 € 59,99 | £ 44,99 Yellow Sale Price 978-3-0348-0897-2 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 € 24,99 | £ 18,99 ,!7ID0D4-iaijhc! 978-3-540-42192-4 ,!7ID5E0-ecbjce!

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R. U. Seydel, Universität zu Köln R.W. Sharpe A. Shen, Laboratoire d’Informatique Mathematisches Institut, Köln, Germany Fondamentale de Marseille (LIF) CNRS, Differential Geometry Marseille CX 13, France Tools for Computational Finance Cartan geometries were the first examples Algorithms and Programming The disciplines of financial engineering of connections on a principal bundle. They and numerical computation differ greatly, seem to be almost unknown these days, in Algorithms and Programming is however computational methods are used in spite of the great beauty and conceptual primarily intended for use in a first-year a number of ways across the field of finance. power they confer on geometry. The aim undergraduate course in programming. It It is the aim of this book to explain how of the present book is to fill the gap in the is structured in a problem-solution format such methods work in financial engineering; literature on differential geometry by the that requires the student to think through specifically the use of numerical methods missing notion of Cartan connections. [...] the programming process, thus developing as tools for computational finance. By an understanding of the underlying 1997. XX, 426 p. (Graduate Texts in concentrating on the field of option pricing, theory. The book is easily readable by a Mathematics, Volume 166) Hardcover a core task of financial engineering and risk student taking a basic introductory course analysis, this book explores a wide range € (D) 64,15 | € (A) 65,95 | *CHF 93.50 in computer science as well as useful for of computational tools in a coherent and € 59,95 | £ 53,99 a graduate-level course in the analysis of focused manner and will be of use to the Yellow Sale Price algorithms and/or compiler construction. [...] entire field of computational finance. [...] € (D) 32,09 | € (A) 32,99 | *CHF 33.00 2nd ed. 2010. XII, 272 p. (Springer 5th ed. 2012. XVII, 429 p. 98 illus. € 29,99 | £ 22,99 Undergraduate Texts in Mathematics and (Universitext) Softcover 978-0-387-94732-7 Technology) Hardcover € (D) 64,15 | € (A) 65,95 | *CHF 80.00 € (D) 53,45 | € (A) 54,95 | *CHF 72.00 € 59,95 | £ 39,99 ,!7IA3I7-jehdch! € 49,95 | £ 44,99 Yellow Sale Price Yellow Sale Price € (D) 32,09 | € (A) 32,99 | *CHF 33.00 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 € 29,99 | £ 22,99 € 24,99 | £ 18,99 978-1-4471-2992-9 978-1-4419-1747-8 ,!7IB4E7-bcjjcj! ,!7IB4E1-jbhehi!

R. Shakarchi Z. Shi, Université Pierre et Marie Curie, Paris, France Problems and Solutions for Undergraduate Analysis Branching Random Walks

The present volume contains all the exercises Providing an elementary introduction to and their solutions for Lang’s second branching random walks, the main focus edition of Undergraduate Analysis. [...] of these lecture notes is on the asymptotic properties of one-dimensional discrete-time 1998. XII, 368 p. (1+2-Pferdchen) Softcover supercritical branching random walks, € (D) 59,87 | € (A) 61,55 | *CHF 86.50 and in particular, on extreme positions in € 55,95 | £ 50,99 each generation, as well as the evolution of these positions over time. Starting Yellow Sale Price with the simple case of Galton-Watson € (D) 28,88 | € (A) 29,69 | *CHF 30.00 trees, the text primarily concentrates on € 26,99 | £ 19,99 exploiting, in various contexts, the spinal 978-0-387-98235-9 structure of branching random walks. The notes end with some applications ,!7IA3I7-jicdfj! to biased random walks on trees. 2015. X, 133 p. 8 illus., 6 illus. in color. (Lecture Notes in Mathematics, Volume 2151) Softcover € (D) 37,44 | € (A) 38,49 | *CHF 38.50 € 34,99 | £ 26,99 Yellow Sale Price € (D) 18,18 | € (A) 18,69 | *CHF 19.00 € 16,99 | £ 12,99 978-3-319-25371-8 ,!7ID3B9-cfdhbi!

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R. W. Shonkwiler, Georgia Institute of J. H. Silverman, Brown University, J. G. Simmonds Technology, Palmetto, GA, USA; F. Mendivil, Providence, RI, USA; J. T. Tate, Harvard Acadia University Dept. Mathematics, University, Cambridge, MA, USA A Brief on Tensor Analysis Wolfville, NS, Canada Rational Points on Elliptic Curves There are three changes in the second Explorations in Monte edition. First, with the help of readers and Carlo Methods The theory of elliptic curves involves a colleagues-thanks to all-I have corrected pleasing blend of algebra, geometry, typographical errors and made minor Monte Carlo methods are among the most analysis, and number theory. This volume changes in substance and style. Second, I used and useful computational tools avail- stresses this interplay as it develops the basic have added a fewmore Exercises,especially able today, providing efficient and practical theory, thereby providing an opportunity for at the end ofChapter4.Third, I have algorithims to solve a wide range of scientific advanced undergraduates to appreciate the appended a section on Differential Geom- and engineering problems. Explorations in unity of modern mathematics. At the same etry, the essential mathematical tool in the Monte Carlo Methods provides a hands-on time, every effort has been made to use only study of two-dimensional structural shells approach to learning this subject. Each new methods and results commonly included and four-dimensional general relativity. [...] in the undergraduate curriculum. [...] idea is carefully motivated by a realistic 2nd ed. 1994. XIV, 114 p. (Undergraduate problem, thus leading from questions 2nd ed. 2015. XXII, 332 p. 37 illus. Texts in Mathematics) Hardcover to theory via examples and numerical (Undergraduate Texts in Mathematics) € (D) 43,82 | € (A) 45,05 | *CHF 63.50 simulations. Programming exercises are Hardcover € 40,95 | £ 36,99 integrated throughout the text as the primary vehicle for learning the material. [...] € (D) 48,14 | € (A) 49,49 | *CHF 51.00 € 44,99 | £ 40,99 Yellow Sale Price 2009. XII, 243 p. (Undergraduate Texts in € (D) 21,39 | € (A) 21,99 | *CHF 22.00 Mathematics) Hardcover Yellow Sale Price € 19,99 | £ 14,99 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 € (D) 53,45 | € (A) 54,95 | *CHF 72.00 978-0-387-94088-5 € 24,99 | £ 18,99 € 49,95 | £ 44,99 978-3-319-18587-3 ,!7IA3I7-jeaiif! Yellow Sale Price € (D) 26,74 | € (A) 27,49 | *CHF 27.50 ,!7ID3B9-bifihd! € 24,99 | £ 18,99 978-0-387-87836-2 ,!7IA3I7-ihidgc!

J. H. Silverman, Brown University J.H. Silverman, Brown University Dept. S. F. Singer, Philadelphia, PA, USA Department of Mathematics, Providence, RI, Mathematics, Providence, RI, USA USA Symmetry in Mechanics The Arithmetic of Advanced Topics in the Dynamical Systems “And what is the use,” thought Alice, “of Arithmetic of Elliptic Curves a book without pictures or conversations This book is designed to provide a path in it?” -Lewis Carroll This book is written In the introduction to the first volume of The for the reader into an amalgamation for modem undergraduate students - not Arithmetic of Elliptic Curves (Springer-Verlag, oftwo venerable areas ofmathematics, the ideal stu dents that mathematics 1986), I observed that “the theory of elliptic Dynamical Systems and Number Theory. professors wish for (and who occasionally curves is rich, varied, and amazingly vast,” Many of the motivating theorems grace our campuses), but the students like and as a consequence, “many important and conjectures in the new subject of many the author has taught: talented but topics had to be omitted.” I included a brief Arithmetic Dynamics may be viewed as the ap preciating review and reinforcement introduction to ten additional topics as an transposition ofclassical results in the theory of past course work; willing to work hard, appendix to the first volume, with the tacit ofDiophantine equations to the setting of but demanding context and motivation understanding that eventually there might discrete dynamical systems, especially to the for the mathematics they are learning. [...] be a second volume containing the details. iteration theory ofmaps on the projective 2004. XII, 193 p. 4 illus. You are now holding that second volume. [...] line and other algebraic varieties. [...] (Wissenschaftsprogramm) Softcover 1994. XIII, 528 p. (Graduate Texts in 2007. XVI, 511 p. 11 illus. (Graduate Texts in € (D) 42,75 | € (A) 43,95 | *CHF 62.00 Mathematics, Volume 151) Softcover Mathematics, Volume 241) Hardcover € 39,95 | £ 35,99 € (D) 48,10 | € (A) 49,45 | *CHF 70.00 € (D) 48,14 | € (A) 49,49 | *CHF 50.50 Yellow Sale Price € 44,95 | £ 39,99 € 44,99 | £ 40,99 € (D) 21,39 | € (A) 21,99 | *CHF 22.00 Yellow Sale Price Yellow Sale Price € 19,99 | £ 14,99 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 978-0-8176-4145-0 € 24,99 | £ 18,99 € 24,99 | £ 18,99 978-0-387-94328-2 978-0-387-69903-5 ,!7IA8B7-gebefa! ,!7IA3I7-jedcic! ,!7IA3I7-gjjadf!

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C. G. Small, University of Waterloo Dept. K. E. Smith; L. Kahanpää; P. Kekäläinen, G. Sommaruga, ETH Zurich, Zurich, Statistics & Actuarial Science, Waterloo, ON, W. Traves Switzerland; T. Strahm, University of Bern, Canada Bern, Switzerland (Eds) An Invitation to Functional Equations and Algebraic Geometry Turing’s Revolution How to Solve Them The aim of this book is to describe the This book provides an overview of the Over the years, a number of books have underlying principles of algebraic geometry, confluence of ideas in Turing’s era and been written on the theory of functional some of its important developments in work and examines the impact of his work equations. However, very little has been the twentieth century, and some of the on mathematical logic and theoretical published which helps readers to solve problems that occupy its practitioners computer science. It combines contributions functional equations in mathematics today. It is intended for the working or the by well-known scientists on the history and competitions and mathematical problem aspiring mathematician who is unfamiliar philosophy of computability theory as well solving. This book fills that gap. The student with algebraic geometry but wishes to as on generalised Turing computability. By who encounters a functional equation gain an appreciation of its foundations and looking at the roots and at the philosophical on a mathematics contest will need to its goals with a minimum of prerequisites. and technical influence of Turing’s work, investigate solutions to the equation by Few algebraic prerequisites are presumed it is possible to gather new perspectives finding all solutions, or by showing that all beyond a basic course in linear algebra. and new research topics which might be solutions have a particular property. [...] considered as a continuation of Turing’s 2000. XVI, 164 p. (Universitext) Hardcover working ideas well into the 21st century. 2007. XII, 131 p. (Problem Books in € (D) 53,49 | € (A) 54,99 | *CHF 58.50 2015. XXIV, 329 p. 18 illus., 1 illus. in Mathematics) Hardcover € 49,99 | £ 46,99 color. (Wissenschaftsprogramm nur € (D) 58,80 | € (A) 60,45 | *CHF 86.50 englisch(Birkhäuser)) Hardcover € 54,95 | £ 49,99 Yellow Sale Price € (D) 26,74 | € (A) 27,49 | *CHF 27.50 € (D) 101,64 | € (A) 104,49 | *CHF 104.50 Yellow Sale Price € 24,99 | £ 18,99 € 94,99 | £ 71,00 € (D) 28,88 | € (A) 29,69 | *CHF 30.00 978-0-387-98980-8 € 26,99 | £ 19,99 Yellow Sale Price € (D) 58,84 | € (A) 60,49 | *CHF 60.50 978-0-387-34534-5 ,!7IA3I7-jijiai! € 54,99 | £ 40,99 ,!7IA3I7-defdef! 978-3-319-22155-7 ,!7ID3B9-ccbffh!

C. G. Small, University of Waterloo Dept. G. C. Smith S. B. Sontz, Centro de Investigacion en Statistics & Actuarial Science, Waterloo, ON, Matematicas, Guanajuato, Mexico Canada Introductory Mathematics: Algebra and Analysis Principal Bundles. Functional Equations and The Classical Case How to Solve Them 1998. XVI, 215 p. 1 illus. (Springer Undergraduate Mathematics Series) This introductory graduate level text pro- Over the years, a number of books have Softcover vides a relatively quick path to a special topic been written on the theory of functional € (D) 37,40 | € (A) 38,45 | *CHF 47.00 in classical differential geometry: principal equations. However, very little has been € 34,95 | £ 24,95 bundles. While the topic of principal bundles published which helps readers to solve in differential geometry has become classic, functional equations in mathematics Yellow Sale Price even standard, material in the modern competitions and mathematical problem € (D) 18,18 | € (A) 18,69 | *CHF 19.00 graduate mathematics curriculum, the solving. This book fills that gap. The student € 16,99 | £ 12,99 unique approach taken in this text presents who encounters a functional equation 978-3-540-76178-5 the material in a way that is intuitive for both on a mathematics contest will need to students of mathematics and of physics. [...] investigate solutions to the equation by ,!7ID5E0-hgbhif! finding all solutions, or by showing that all 2015. XV, 280 p. 85 illus., 64 illus. in color. solutions have a particular property. [...] (Universitext) Softcover € (D) 64,19 | € (A) 65,99 | *CHF 80.00 2007. XII, 131 p. (Problem Books in € 59,99 | £ 39,99 Mathematics) Softcover € (D) 40,61 | € (A) 41,75 | *CHF 57.50 Yellow Sale Price € 37,95 | £ 33,99 € (D) 32,09 | € (A) 32,99 | *CHF 33.00 € 29,99 | £ 22,99 Yellow Sale Price 978-3-319-14764-2 € (D) 21,39 | € (A) 21,99 | *CHF 22.00 € 19,99 | £ 14,99 ,!7ID3B9-behgec! 978-0-387-34539-0 ,!7IA3I7-defdja!

67 Yellow Sale 2017 springer.com | English Titles

S. B. Sontz, Centro de Investigacion en P. Spector, University of California, Berkeley H. Stichtenoth, Sabanci University Fac. Matematicas, Guanajuato, Mexico Dept. Statistics & Mathematics, Berkeley, CA, Engineering & Natural Sciences, Istanbul, USA Turkey Principal Bundles. The Quantum Case Data Manipulation with R Algebraic Function Fields and Codes This introductory text is the first book The R language provides a rich environment about quantum principal bundles and for working with data, especially data to be 15 years after the rst printing of Algebraic their quantum connections which are used for statistical modeling or graphics. Function Fields and Codes,the mathematics natural generalizations to non-commutative Coupled with the large variety of easily editors of Springer Verlag encouraged me geometry of principal bundles and their available packages, it allows access to both to revise and extend the book. Besides connections in differential geometry. To well-established and experimental statistical numerous minor corrections and amend- make for a more self-contained book there techniques. However techniques that ments, the second edition ers from the rst is also much background material on Hopf might make sense in other languages are one in two respects. Firstly I have included a algebras, (covariant) differential calculi, often very cient in R, but, due to R’s [...] series of exercises at the end of each chapter. braid groups and compatible conjugation 2008. X, 154 p. (Use R!) Softcover Some of these exercises are fairly easy and operations. The approach is slow paced should help the reader to understand the € (D) 74,89 | € (A) 76,99 | *CHF 77.00 and intuitive in order to provide researchers basic concepts, others are more advanced € 69,99 | £ 52,99 and students in both mathematics and and cover additional material. [...] physics ready access to the material. Yellow Sale Price 2nd ed. 2009. XIV, 360 p. (Graduate Texts in ( ) | ( ) | 2015. XV, 350 p. (Universitext) Softcover € D 37,44 € A 38,49 *CHF 38.50 Mathematics, Volume 254) Hardcover € 34,99 | £ 26,99 € (D) 64,19 | € (A) 65,99 | *CHF 80.00 € (D) 48,14 | € (A) 49,49 | *CHF 51.00 € 59,99 | £ 53,99 978-0-387-74730-9 € 44,99 | £ 40,99 Yellow Sale Price ,!7IA3I7-hehdaj! Yellow Sale Price € (D) 32,09 | € (A) 32,99 | *CHF 33.00 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 € 29,99 | £ 22,99 € 24,99 | £ 18,99 978-3-319-15828-0 978-3-540-76877-7 ,!7ID3B9-bficia! ,!7ID5E0-hgihhh!

E. J. Specht, Indiana University South V. Srinivas, Tata Institute of Fundamental J. Stillwell, University of San Francisco, San Bend, SOUTH BEND, IN; H. T. Jones, Research Dept. Theoretical Physics, Mumbai, Francisco, CA, USA Andrews University, Berrien Springs, MI, India USA; K. G. Calkins, Andrews University, Classical Topology and Berrien Springs, MI, USA; D. H. Rhoads, Algebraic K-Theory Combinatorial Group Theory Andrews University, Bloomington, IN, USA Algebraic K-Theory has become an In recent years, many students have been Euclidean Geometry and increasingly active area of research. With its introduced to topology in high school its Subgeometries connections to algebra, algebraic geometry, mathematics. Having met the Mobius band, topology, and number theory, it has impli- the seven bridges of Konigsberg, Euler’s In this monograph, the authors present cations for a wide variety of researchers and polyhedron formula, and knots, the student a modern development of Euclidean graduate students in mathematics. The book is led to expect that these picturesque geometry from independent axioms, is based on lectures given at the author’s ideas will come to full flower in university using up-to-date language and providing home institution, the Tata Institute in topology courses. What a disappointment detailed proofs. The axioms for incidence, Bombay, and elsewhere. A detailed appendix “undergraduate topology” proves to be! betweenness, and plane separation are close on topology was provided in the first edition In most institutions it is either a service to those of Hilbert. This is the only axiomatic to make the treatment accessible to readers course for analysts, on abstract spaces, or treatment of Euclidean geometry that uses with a limited background in topology. [...] else an introduction to homological algebra axioms not involving metric notions and 2nd ed. 1996. XVII, 341 p. (Modern Birkhäuser in which the only geometric activity is the that explores congruence and isometries Classics) Softcover completion of commutative diagrams. [...] by means of reflection mappings. [...] € (D) 42,79 | € (A) 43,99 | *CHF 42.00 2nd ed. 1993. XII, 336 p. (Graduate Texts in 2015. XIX, 527 p. 59 illus. Hardcover € 39,99 | £ 33,99 Mathematics, Volume 72) Hardcover € (D) 117,69 | € (A) 120,99 | *CHF 121.00 Yellow Sale Price € (D) 71,64 | € (A) 73,65 | *CHF 104.00 € 109,99 | £ 82,00 € 66,95 | £ 59,99 € (D) 21,39 | € (A) 21,99 | *CHF 22.00 Yellow Sale Price € 19,99 | £ 14,99 Yellow Sale Price € (D) 64,19 | € (A) 65,99 | *CHF 66.00 978-0-8176-4736-0 € (D) 37,44 | € (A) 38,49 | *CHF 38.50 € 59,99 | £ 44,99 € 34,99 | £ 26,99 978-3-319-23774-9 ,!7IA8B7-gehdga! 978-0-387-97970-0 ,!7ID3B9-cdhhej! ,!7IA3I7-jhjhaa!

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J. Stillwell, Department of Mathematics J. Stillwell, University of San Francisco, San J. Stillwell, University of San Francisco, San University of San Francisco, San Francisco, Francisco, CA, USA Francisco, CA, USA CA, USA Naive Lie Theory The Four Pillars of Geometry Elements of Algebra In this new textbook, acclaimed author Many people think there is only one “right” Algebra is abstract mathematics - let us John Stillwell presents a lucid introduction way to teach geometry. For two millennia, make no bones about it - yet it is also to Lie theory suitable for junior and senior the “right” way was Euclid’s way, and it applied mathematics in its best and purest level undergraduates. In order to achieve is still good in many respects. But in the form. It is not abstraction for its own sake, this, he focuses on the so-called “classical 1950s the cry “Down with ” was heard in but abstraction for the sake of efficiency, groups’’ that capture the symmetries of France and new geometry books appeared, power and insight. Algebra emerged from real, complex, and quaternion spaces. packed with linear algebra but with no the struggle to solve concrete, physical These symmetry groups may be repre- diagrams. Was this the new “right” way, or problems in geometry, and succeeded sented by matrices, which allows them was the “right” way something else again, after 2000 years of failure by other forms to be studied by elementary methods perhaps transformation groups? In this of mathematics. It did this by exposing the from calculus and linear algebra. [...] book, I wish to show that geometry can be mathematical structure of geometry, and developed in four fundamentally different 2008. XV, 217 p. (Undergraduate Texts in by providing the tools to analyse it. [...] ways, and that all should be used if the Mathematics) Hardcover subject is to be shown in all its splendor. [...] 1994. XII, 184 p. (Undergraduate Texts in € (D) 43,82 | € (A) 45,05 | *CHF 63.50 Mathematics) Hardcover € 40,95 | £ 36,99 2005. XII, 228 p. (Undergraduate Texts in € (D) 55,59 | € (A) 57,15 | *CHF 80.50 Mathematics) Hardcover € 51,95 | £ 46,99 Yellow Sale Price € (D) 42,75 | € (A) 43,95 | *CHF 63.50 ( ) | ( ) | € D 21,39 € A 21,99 *CHF 22.00 € 39,95 | £ 34,99 Yellow Sale Price € 19,99 | £ 14,99 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 978-0-387-78214-0 Yellow Sale Price € 24,99 | £ 18,99 € (D) 21,39 | € (A) 21,99 | *CHF 22.00 978-0-387-94290-2 ,!7IA3I7-hicbea! € 19,99 | £ 14,99 978-0-387-25530-9 ,!7IA3I7-jecjac! ,!7IA3I7-cffdaj!

J. Stillwell, University of San Francisco, San J. Stillwell, Department of Mathematics T.J. Sullivan, University of Warwick, Francisco, CA, USA University of San Francisco, San Francisco, Coventry, UK CA, USA Elements of Number Theory Introduction to Uncertainty Numbers and Geometry Quantification This book is intended to complement my Elements oi Algebra, and it is similarly moti- NUMBERS AND GEOMETRY is a beautiful and This text provides a framework in which the vated by the problem of solving polynomial relatively elementary account of a part of main objectives of the field of uncertainty equations. However, it is independent of mathematics where three main fields--alge- quantification (UQ) are defined and an the algebra book, and probably easier. In bra, analysis and geometry--meet. The aim overview of the range of mathematical Elements oi Algebra we sought solution by of this book is to give a broad view of these methods by which they can be achieved. radicals, and this led to the concepts of fields subjects at the level of calculus, without Complete with exercises throughout, the and groups and their fusion in the celebrated being a calculus (or a pre-calculus) book. Its book will equip readers with both theoretical theory of Galois. In the present book we roots are in arithmetic and geometry, the understanding and practical experience of seek integer solutions, and this leads to two opposite poles of mathematics, and the key mathematical and algorithmic tools the concepts of rings and ideals which the source of historic conceptual conflict. underlying the treatment of uncertainty merge in the equally celebrated theory of The resolution of this conflict, and its role in modern applied mathematics. [...] ideals due to Kummer and Dedekind. [...] in the development of mathematics, is one of the main stories in the book. [...] 2015. XII, 342 p. 28 illus. (Texts in Applied 2003. XII, 256 p. (Undergraduate Texts in Mathematics, Volume 63) Hardcover Mathematics) Hardcover 1998. XIV, 343 p. (Undergraduate Texts in € (D) 64,19 | € (A) 65,99 | *CHF 68.00 Mathematics) Hardcover € (D) 48,10 | € (A) 49,45 | *CHF 71.50 € 59,99 | £ 53,99 € 44,95 | £ 40,99 € (D) 52,38 | € (A) 53,85 | *CHF 75.00 € 48,95 | £ 43,99 Yellow Sale Price Yellow Sale Price € (D) 32,09 | € (A) 32,99 | *CHF 33.00 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 Yellow Sale Price € 29,99 | £ 22,99 € 24,99 | £ 18,99 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 978-3-319-23394-9 978-0-387-95587-2 € 24,99 | £ 18,99 978-0-387-98289-2 ,!7ID3B9-cddjej! ,!7IA3I7-jffihc! ,!7IA3I7-jicijc!

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R. M. Switzer A. Terras, University of California at San G. Toth, Rutgers University, Camden, NJ, USA Diego, La Jolla, CA, USA Algebraic Topology — Measures of Symmetry for Homotopy and Homology Harmonic Analysis on Convex Sets and Stability Symmetric Spaces—Euclidean From the reviews: “The author has attempted Space, the Sphere, and the This textbook treats two important and an ambitious and most commendable proj- related matters in convex geometry: the ect. He assumes only a modest knowledge Poincaré Upper Half-Plane quantification of symmetry of a convex set— of algebraic topology on the part of the This unique text is an introduction to measures of symmetry—and the degree to reader to start with, and he leads the reader harmonic analysis on the simplest symmetric which convex sets that nearly minimize such systematically to the point at which he can spaces, namely Euclidean space, the sphere, measures of symmetry are themselves nearly begin to tackle problems in the current areas and the Poincaré upper half plane. This symmetric—the phenomenon of stability. By of research centered around generalized book is intended for beginning graduate gathering the subject’s core ideas and high- homology theories and their applications. students in mathematics or researchers lights around Grünbaum’s general notion of The author has sought to make his treatment in physics or engineering. Written with an measure of symmetry, it paints a coherent complete and he has succeeded. The informal style, the book places an emphasis picture of the subject, and guides the reader book contains much material that has not on motivation, concrete examples, history, from the basics to the state-of-the-art. [...] previously appeared in this format. [...] and, above all, applications in mathematics, 2015. XII, 278 p. 65 illus., 1 illus. in color. 2002. XIII, 526 p. (Classics in Mathematics) statistics, physics, and engineering. Many (Universitext) Softcover Softcover corrections and updates have been € (D) 64,19 | € (A) 65,99 | *CHF 66.00 € (D) 53,49 | € (A) 54,99 | *CHF 56.50 incorporated in this new edition. [...] € 59,99 | £ 39,99 € 49,99 | £ 44,99 2nd ed. 2013. XVII, 413 p. 83 illus., 32 illus. in Yellow Sale Price color. Softcover Yellow Sale Price € (D) 32,09 | € (A) 32,99 | *CHF 33.00 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 € (D) 64,19 | € (A) 65,99 | *CHF 80.00 € 29,99 | £ 22,99 € 59,99 | £ 53,99 € 24,99 | £ 18,99 978-3-319-23732-9 978-3-540-42750-6 Yellow Sale Price € (D) 32,09 | € (A) 32,99 | *CHF 33.00 ,!7ID3B9-cdhdcj! ,!7ID5E0-echfag! € 29,99 | £ 22,99 978-1-4939-5013-3 ,!7IB4J3-jfabdd!

Y. Tanii, Saitama University, Saitama, Japan V. V. Tkachuk, Universidad Autonoma L. W. Tu, Tufts University, Medford, MA, USA Metropolitana-Iztap, Iztapalapa, Mexico Introduction to Supergravity An Introduction to Manifolds A Cp-Theory Problem Book This book is a pedagogical introduction to Manifolds, the higher-dimensional analogs supergravity, a gravitational field theory This work is a continuation of the first vol- of smooth curves and surfaces, are funda- that includes supersymmetry (symmetry ume published by Springer in 2011, entitled mental objects in modern mathematics. between bosons and fermions) and is a “A Cp-Theory Problem Book: Topological Combining aspects of algebra, topology, generalization of Einstein’s general relativity. and Function Spaces.” The first volume and analysis, manifolds have also been Supergravity provides a low-energy effective provided an introduction from scratch to applied to classical mechanics, general theory of superstring theory, which has Cp-theory and general topology, preparing relativity, and quantum field theory. In this attracted much attention as a candidate for the reader for a professional understanding streamlined introduction to the subject, the unified theory of fundamental particles, of Cp-theory in the last section of its main the theory of manifolds is presented with and it is a useful tool for studying non-per- text. This present volume covers a wide the aim of helping the reader achieve a turbative properties of superstring theory variety of topics in Cp-theory and general rapid mastery of the essential topics. [...] such as D-branes and string duality. [...] topology at the professional level bringing 2nd ed. 2011. XVIII, 410 p. 124 illus., 1 illus. in the reader to the frontiers of modern 2014. IX, 130 p. (SpringerBriefs in color. (Universitext) Softcover research. The volume contains 500 problems Mathematical Physics, Volume 1) Softcover and exercises with complete solutions. [...] € (D) 48,10 | € (A) 49,45 | *CHF 64.50 € (D) 53,49 | € (A) 54,99 | *CHF 67.00 € 44,95 | £ 40,99 € 49,99 | £ 44,99 2014. XIV, 583 p. (Problem Books in Mathematics) Hardcover Yellow Sale Price ( ) | ( ) | Yellow Sale Price € (D) 74,89 | € (A) 76,99 | *CHF 93.50 € D 26,74 € A 27,49 *CHF 27.50 ( ) | ( ) | | € D 26,74 € A 27,49 *CHF 27.50 € 69,99 | £ 62,99 € 24,99 £ 18,99 € 24,99 | £ 18,99 978-1-4419-7399-3 978-4-431-54827-0 Yellow Sale Price € (D) 37,44 | € (A) 38,49 | *CHF 38.50 ,!7IB4E1-jhdjjd! ,!7IE4D1-feicha! € 34,99 | £ 26,99 978-3-319-04746-1 ,!7ID3B9-aehegb!

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R. G. Underwood, Auburn University at W.D. Wallis, Southern Illinois University, A. Weil Montgomery, Montgomery, AL, USA Evansville, IN, USA Basic Number Theory Fundamentals of Hopf Algebras The Mathematics of Elections and Voting The first part of this volume is based on This text aims to provide graduate students a course taught at Princeton University with a self-contained introduction to topics This title takes an in-depth look at the in 1961-62; at that time, an excellent set that are at the forefront of modern algebra, mathematics in the context of voting and of notes was prepared by David Cantor, namely, coalgebras, bialgebras and Hopf electoral systems, with focus on simple and it was originally my intention to make algebras. The last chapter (Chapter 4) dis- ballots, complex elections, fairness, these notes available to the mathematical cusses several applications of Hopf algebras, approval voting, ties, fair and unfair public with only quite minor changes. some of which are further developed in the voting, and manipulation techniques. Then, among some old papers of mine, I author’s 2011 publication, An Introduction The exposition opens with a sketch of the accidentally came across a long-forgotten to Hopf Algebras. The book may be used mathematics behind the various methods manuscript by Chevalley, of pre-war vintage as the main text or as a supplementary used in conducting elections. The reader (forgotten, that is to say, both by me and text for a graduate algebra course. [...] is lead to a comprehensive picture of the by its author) which, to my taste at least, seemed to have aged very well. [...] 2015. XIV, 150 p. 21 illus. (Universitext) theoretical background of mathematics Softcover and elections through an analysis of 3rd ed. 1995. XVIII, 316 p. (Classics in Condorcet’s Principle and Arrow’s Theorem Mathematics) Softcover € (D) 53,49 | € (A) 54,99 | *CHF 56.50 of conditions in electoral fairness. [...] € 49,99 | £ 29,99 € (D) 53,49 | € (A) 54,99 | *CHF 56.50 2014. X, 96 p. Softcover € 49,99 | £ 44,99 Yellow Sale Price € (D) 42,79 | € (A) 43,99 | *CHF 53.50 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 Yellow Sale Price € 39,99 | £ 35,99 € 24,99 | £ 18,99 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 978-3-319-18990-1 Yellow Sale Price € 24,99 | £ 18,99 € (D) 21,39 | € (A) 21,99 | *CHF 22.00 978-3-540-58655-5 ,!7ID3B9-bijjab! € 19,99 | £ 14,99 978-3-319-09809-8 ,!7ID5E0-figfff! ,!7ID3B9-ajiaji!

E. Vandendriessche, Université Paris Diderot, W. Walter, Universität Karlsruhe S. H. Weintraub, Lehigh University Dept. Sorbonne Paris Cité, Paris, France Mathematisches Institut I, Karlsruhe, Mathematics, Bethlehem, PA, USA Germany String Figures as Mathematics? Galois Theory Ordinary Differential Equations This book addresses the mathematical This is a textbook on Galois theory. Galois rationality contained in the making of string Develops the theory of initial-, boundary-, theory has a well-deserved re- tation figures. It does so by using interdisciplinary and eigenvalue problems, real and complex as one of the most beautiful subjects in methods borrowed from anthropology, linear systems, asymptotic behavior and mathematics. I was seduced by its beauty mathematics, history and philosophy stability. Using novel approaches to many into writing this book. I hope you will be of mathematics. The practice of string subjects, the book emphasizes differential seduced by its beauty in reading it. This figure-making has long been carried out inequalities and treats more advanced book begins at the beginning. Indeed (and in many societies, and particularly in those topics such as Caratheodory theory, perhaps a little unusually for a mathematics of oral tradition. It consists in applying a nonlinear boundary value problems and text), it begins with an informal introductory succession of operations to a string (knotted radially symmetric elliptic problems. New chapter, Ch- ter 1. In this chapter we give a into a loop), mostly using the fingers and proofs are given which use concepts number of examples in Galois theory, even sometimes the feet, the wrists or the and methods from functional analysis. before our terms have been properly ned. [...] mouth. This succession of operations is Applications from mechanics, physics, 2nd ed. 2009. XIV, 212 p. (Universitext) intended to generate a final figure. [...] and biology are included, and exercises, Softcover which range from routine to demanding, 2015. XIX, 392 p. 1234 illus., 134 illus. in are dispersed throughout the text. [...] € (D) 45,96 | € (A) 47,25 | *CHF 62.00 color. (Studies in History and Philosophy of € 42,95 | £ 38,99 Science, Volume 36) Hardcover 1998. XI, 384 p. (Graduate Texts in € (D) 106,99 | € (A) 109,99 | *CHF 133.50 Mathematics, Volume 182) Hardcover Yellow Sale Price ( ) | ( ) | € 99,99 | £ 90,00 € (D) 71,64 | € (A) 73,65 | *CHF 104.00 € D 21,39 € A 21,99 *CHF 22.00 | € 66,95 | £ 59,99 € 19,99 £ 14,99 Yellow Sale Price 978-0-387-87574-3 € (D) 58,84 | € (A) 60,49 | *CHF 60.50 Yellow Sale Price € 54,99 | £ 40,99 € (D) 37,44 | € (A) 38,49 | *CHF 38.50 ,!7IA3I7-ihfhed! 978-3-319-11993-9 € 34,99 | £ 26,99 978-0-387-98459-9 ,!7ID3B9-bbjjdj! ,!7IA3I7-jiefjj!

71 Yellow Sale 2017 springer.com | English Titles

R. O. Wells, Universität Bremen Abt. T. Witelski, Duke University, Durham, NC, K. Yosida Matematik, Bremen, Germany USA; M. Bowen, Waseda University, Tokyo, Japan Functional Analysis Differential Analysis on Complex Manifolds Methods of Mathematical The present book is based on lectures given Modelling by the author at the University of Tokyo In developing the tools necessary for during the past ten years. It is intended the study of complex manifolds, this This book presents mathematical modelling as a textbook to be studied by students comprehensive, well-organized treatment and the integrated process of formulating on their own or to be used in a course presents in its opening chapters a detailed sets of equations to describe real-world on Functional Analysis, i. e. , the general survey of recent progress in four areas: problems. It describes methods for obtaining theory of linear operators in function geometry (manifolds with vector bundles), solutions of challenging differential equa- spaces together with salient features of its algebraic topology, differential geometry, tions stemming from problems in areas such application to diverse fields of modern and and partial differential equations. [...] as chemical reactions, population dynamics, classical analysis. Necessary prerequisites mechanical systems, and fluid mechanics. for the reading of this book are summarized, 3rd ed. 2008. XIV, 304 p. (Graduate Texts in Chapters 1 to 4 cover essential topics in with or without proof, in Chapter 0 under Mathematics, Volume 65) Hardcover ordinary differential equations, transport titles: Set Theory, Topo logical Spaces, € (D) 52,38 | € (A) 53,85 | *CHF 75.00 equations and the calculus of variations that Measure Spaces and Linear Spaces. [...] € 48,95 | £ 43,99 are important for formulating models. [...] 6th ed. 1995. XVI, 504 p. (Classics in Yellow Sale Price 2015. XVIII, 305 p. 50 illus., 45 illus. in color. Mathematics, Volume 123) Softcover € (D) 26,74 | € (A) 27,49 | *CHF 27.50 (Springer Undergraduate Mathematics € (D) 53,49 | € (A) 54,99 | *CHF 56.50 € 24,99 | £ 18,99 Series) Softcover € 49,99 | £ 44,99 978-0-387-73891-8 € (D) 37,44 | € (A) 38,49 | *CHF 38.50 Yellow Sale Price € 34,99 | £ 24,99 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 ,!7IA3I7-hdijbi! Yellow Sale Price € 24,99 | £ 18,99 € (D) 18,18 | € (A) 18,69 | *CHF 19.00 978-3-540-58654-8 € 16,99 | £ 12,99 978-3-319-23041-2 ,!7ID5E0-figfei! ,!7ID3B9-cdaebc!

R. Wilson, Queen Mary University of London, I. Yengui, University of Sfax, Sfax, Tunisia V. A. Zorich, Moscow State University Dept. London, UK Mathematics & Mechanics, Moscow, Russia Constructive Commutative The Finite Simple Groups Algebra Mathematical Analysis I nitesimplegroups.During nitesim- The main goal of this book is to find the This second English edition of a very popular plegroups(andindeedsince), a huge constructive content hidden in abstract two-volume work presents a thorough first amount of information about these proofs of concrete theorems in Commutative course in analysis, leading from real numbers groups has been accumulated. Algebra, especially in well-known theorems to such advanced topics as differential forms Conveyingthisinformationtothenextgen- concerning projective modules over on manifolds; asymptotic methods; Fourier, erationofstudentsandresearchers, not to polynomial rings (mainly the Quillen-Suslin Laplace, and Legendre transforms; elliptic mention those who might wish to apply this theorem) and syzygies of multivariate functions; and distributions. Especially knowledge, has become a major challenge. polynomials with coefficients in a valuation notable in this course are the clearly With the publication of the two volumes ring. Simple and constructive proofs of some expressed orientation toward the natural by Aschbacher and Smith [12, 13] in 2004 results in the theory of projective modules sciences and the informal exploration of we can reasonably regard the proof of the over polynomial rings are also given, and the essence and the roots of the basic cation Theorem for Finite Simple Groups light is cast upon recent progress on the Her- concepts and theorems of calculus. [...] (usually abbreviated CFSG) as complete. [...] mite ring and Gröbner ring conjectures. [...] 2nd ed. 2015. XX, 616 p. 66 illus. in color. 2009. XV, 298 p. (Graduate Texts in 2015. VII, 271 p. 5 illus. (Lecture Notes in (Universitext) Hardcover Mathematics, Volume 251) Hardcover Mathematics, Volume 2138) Softcover € (D) 53,49 | € (A) 54,99 | *CHF 55.00 € (D) 53,45 | € (A) 54,95 | *CHF 72.00 € (D) 48,14 | € (A) 49,49 | *CHF 51.00 € 49,99 | £ 49,99 € 49,95 | £ 29,99 € 44,99 | £ 40,99 Yellow Sale Price Yellow Sale Price Yellow Sale Price € (D) 26,74 | € (A) 27,49 | *CHF 27.50 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 € 24,99 | £ 18,99 € 24,99 | £ 18,99 € 24,99 | £ 18,99 978-3-662-48790-7 978-1-84800-987-5 978-3-319-19493-6 ,!7ID6G2-eihjah! ,!7IB8E8-aajihf! ,!7ID3B9-bjejdg!

72 springer.com | English Titles Yellow Sale 2017

V. A. Zorich, Moscow State University Dept. Mathematics & Mechanics, Moscow, Russia Mathematical Analysis II

This second English edition of a very popular two-volume work presents a thorough first course in analysis, leading from real numbers to such advanced topics as differential forms on manifolds; asymptotic methods; Fourier, Laplace, and Legendre transforms; elliptic functions; and distributions. Especially notable in this course are the clearly expressed orientation toward the natural sciences and the informal exploration of the essence and the roots of the basic concepts and theorems of calculus. [...] 2nd ed. 2016. XX, 720 p. 42 illus. in color. (Universitext) Hardcover € (D) 64,19 | € (A) 65,99 | *CHF 66.00 € 59,99 | £ 63,99 Yellow Sale Price € (D) 42,79 | € (A) 43,99 | *CHF 44.00 € 39,99 | £ 29,99 978-3-662-48991-8 ,!7ID6G2-eijjbi!

73 Yellow Sale 2017 springer.com | French Titles

M. Audin, Université de Strasbourg et CNRS N. Bourbaki, Ecole normale supérieure, Paris C. Brezinski, Universite Lille 1 UFR IEEA/Lab. Inst. Recherche Mathématiques Avancée, Cedex 05, France d’Analyse, Villeneuve d’Ascq CX, France Strasbourg CX, France Algèbre Acceleration de la convergence Fatou, Julia, Montel, Chapitre 8 en analyse numerique Comment Fatou et Julia ont inventé ce que Ce huitième chapitre du Livre d’Algèbre, 1977. IV, 313 p. (Lecture Notes in l’on appelle aujourd’hui les ensembles de deuxième Livre des Éléments de mathéma- Mathematics, Volume 584) Softcover Julia, avant, pendant et après la première tique, est consacré à l’étude de certaines € (D) 37,40 | € (A) 38,45 | *CHF 50.50 guerre mondiale? L’histoire est racontée, classes d’anneaux et des modules sur ces € 34,95 | £ 27,00 avec ses mathématiques, ses conflits, ses anneaux. Il couvre les notions de module et personnalités. Elle est traitée à partir de d’anneau noethérien et artinien, ainsi que Yellow Sale Price sources nouvelles, et avec rigueur. On celle de radical. Ce chapitre décrit également € (D) 18,18 | € (A) 18,69 | *CHF 19.00 pourra s’y initier à l’itération des fractions la structure des anneaux semi-simples. € 16,99 | £ 12,99 rationnelles et à la dynamique complexe Nous y donnons aussi la définition de 978-3-540-08241-5 (ensembles de Julia, de Mandelbrot, divers groupes de Grothendieck qui jouent ensembles-limites). Qui étaient Pierre Fatou, un rôle universel pour les invariants de Gaston Julia, Paul Montel? On y trouvera modules et plusieurs descriptions du ,!7ID5E0-aicebf! en particulier des informations sur un groupe de Brauer qui intervient dans la mathématicien mal connu, Pierre Fatou. [...] classification des anneaux simples. [...] 2009. VI, 276 p. (French Mathematics titles) 2nd ed. 2012. X, 489 p. (French Mathematics Softcover titles) Softcover € (D) 39,56 | € (A) 40,67 | *CHF 53.00 € (D) 50,71 | € (A) 52,13 | *CHF 63.50 € 36,97 | £ 33,99 € 47,39 | £ 42,99 Yellow Sale Price Yellow Sale Price € (D) 18,18 | € (A) 18,69 | *CHF 19.00 € (D) 26,74 | € (A) 27,49 | *CHF 27.50 € 16,99 | £ 12,99 € 24,99 | £ 18,99 978-3-642-00445-2 978-3-540-35315-7 ,!7ID6E2-aaeefc! ,!7ID5E0-dfdbfh!

N. Bourbaki N. Bourbaki Algèbre Algèbre Chapitres 4 à 7 Chapitres 1 à 3

Les Éléments de mathématique de Nicolas Faire de l’Algèbre, c’est essentiellement Bourbaki ont pour objet une présentation calculer, c’est-à-dire effectuer, sur des rigoureuse, systématique et sans éléments d’un ensemble, des (, par prérequis des mathématiques depuis leurs exemple aux permutations d’un - semble fondements. Ce deuxième volume du Livre (voir Note historique de chap. 1). [...] d’Algèbre, deuxième Livre des Éléments de 2nd ed. 2007. XIII, 636 p. (French Mathematics mathématique, traite notamment des exten- titles) Softcover sions de corps et de la théorie de Galois. Il comprend les chapitres: 4. Polynômes et € (D) 50,71 | € (A) 52,13 | *CHF 68.00 fractions rationnelles; 5. Corps commutatifs; € 47,39 | £ 37,99 6. Groupes et corps ordonnés; 7. Modules Yellow Sale Price sur les anneaux principaux. Il contient € (D) 26,74 | € (A) 27,49 | *CHF 27.50 également des notes historiques. Ce volume € 24,99 | £ 18,99 est une nouvelle édition parue en 1981. 978-3-540-33849-9 2007. VIII, 422 p. (French Mathematics titles) Softcover ,!7ID5E0-ddiejj! € (D) 50,71 | € (A) 52,13 | *CHF 68.00 € 47,39 | £ 37,99 Yellow Sale Price € (D) 26,74 | € (A) 27,49 | *CHF 27.50 € 24,99 | £ 18,99 978-3-540-34398-1 ,!7ID5E0-dedjib!

74 springer.com | French Titles Yellow Salechapter 2017

N. Caspard, ; B. Leclerc, EHESS CAMS, Paris A. Chenciner, IMCCE - Observatoire de Paris J.-E. Dies CX 06, France; B. Monjardet, Institut de Mécanique Céleste, Paris, France Chaines de Markov sur Ensembles ordonnés finis : Courbes Algébriques Planes les Permutations concepts, résultats et usages Issu d’un cours de maîtrise de l’Université 1983. IX, 226 p. (Lecture Notes in Les notions d’ordre, de classement, de Paris VII, ce texte est réédité tel qu’il était Mathematics, Volume 1010) Softcover paru en 1978. A propos du théorème rangement sont présentés dans de multiples € (D) 37,40 | € (A) 38,45 | *CHF 50.50 de Bézout sont introduits divers outils activités et situations humaines. La for- € 34,95 | £ 27,00 malisation mathématique de ces notions a nécessaires au développement de la notion permis d’abord le grand développement de de multiplicité d’intersection de deux Yellow Sale Price la théorie des treillis, puis celui de structures courbes algébriques dans le plan projectif € (D) 18,18 | € (A) 18,69 | *CHF 19.00 ordonnées plus générales, notamment celles complexe. Partant des notions élémentaires € 16,99 | £ 12,99 relevant des mathématiques discrètes. [...] sur les sous-ensembles algébriques affines et 978-3-540-12669-0 projectifs, on définit les multiplicités d’inter- 2007. XVIII, 342 p. 62 ill. (Mathématiques et section et interprète leur somme entermes Applications, Volume 60) Softcover du résultant de deux polynômes. [...] ,!7ID5E0-bcggja! € (D) 58,83 | € (A) 60,48 | *CHF 79.00 2008. X, 160 p. (French Mathematics titles) € 54,98 | £ 49,99 Softcover Yellow Sale Price € (D) 45,64 | € (A) 46,92 | *CHF 61.50 € (D) 28,88 | € (A) 29,69 | *CHF 30.00 € 42,65 | £ 38,99 € 26,99 | £ 19,99 Yellow Sale Price 978-3-540-73755-1 € (D) 21,39 | € (A) 21,99 | *CHF 22.00 € 19,99 | £ 14,99 ,!7ID5E0-hdhffb! 978-3-540-33707-2 ,!7ID5E0-ddhahc!

J.-P. Caubet J. Dedieu, Université Toulouse III Dept. H. Gianella; R. Krust; F. Taieb; N. Tosel Mathématiques, Toulouse CX, France Le mouvement Problèmes choisis de brownien relativiste Points fixes, zéros et la mathématiques supérieures méthode de Newton 1976. IX, 212 p. (Lecture Notes in Ce livre rassemble des énoncés de Mathematics, Volume 559) Softcover Cet ouvrage est consacré aux points fixes problèmes de mathématiques proposés € (D) 37,40 | € (A) 38,45 | *CHF 50.50 d’applications différentiables, aux zéros par les auteurs à leurs étudiants en classe € 34,95 | £ 27,00 de systèmes non-linéaires et à la méthode préparatoire MPSI au Lycée Louis-Le-Grand de Newton. Il s’adresse à des étudiants à Paris. Il se divise en sept chapitres, Yellow Sale Price de mastère ou préparant l’agrégation correspondants aux principaux thèmes € (D) 18,18 | € (A) 18,69 | *CHF 19.00 de mathématique et à des chercheurs généralement abordés dans une première € 16,99 | £ 12,99 confirmés. La première partie est consacrée à année d’études scientifiques. Les problèmes 978-3-540-08052-7 la méthode des approximations successives sont de difficulté progressive, pour la et confronte un point de vue «systèmes plupart originaux, et parfois établissent des ,!7ID5E0-aiafch! dynamiques» (théorèmes de Grob- résultats mathématiques récents. Une brève man-Hartman, de la variété stable) à des introduction permet de les situer dans un exemples issus de l’analyse numérique. [...] contexte mathématique plus vaste. [...] 2006. XII, 196 p. 7 ill. (Mathématiques et 2001. VIII, 267 p. 19 ill. (SCOPOS, Volume 14) Applications, Volume 54) Softcover Softcover € (D) 36,51 | € (A) 37,53 | *CHF 49.00 € (D) 28,40 | € (A) 29,19 | *CHF 38.50 € 34,12 | £ 26,99 € 26,54 | £ 20,99 Yellow Sale Price Yellow Sale Price € (D) 18,18 | € (A) 18,69 | *CHF 19.00 € (D) 16,04 | € (A) 16,49 | *CHF 16.50 € 16,99 | £ 12,99 € 14,99 | £ 11,99 978-3-540-30995-6 978-3-540-42335-5 ,!7ID5E0-dajjfg! ,!7ID5E0-ecddff!

75 chapterYellow Sale 2017 springer.com | springer.comFrench Titles

A. Henrot, Nancy Université Institut Élie J. Le Gall, Université Paris-Sud, Campus J. Serre, College de France Paris Chaire Cartan IECN, Vandoeuvre-les-Nancy CX, d’Orsay, Orsay, France d’Algebre et Geometrie, Paris CX 05, France France; M. Pierre, ENS de Cachan Antenne de Bretagne, Bruz, France Mouvement brownien, Algèbre Locale, Multiplicités martingales et calcul Variation et optimisation stochastique Chapitre I. 1DIAUX PIlEMIEIS IT LOCALISA- de formes TION I I. Wotationa et definitions I 2. Lemme Cet ouvrage propose une approche concise de Bakay. . 2 3. Localisation • • • 4. Anneaux Ce livre est une initiation aux approches mais complète de la théorie de l’intégrale et 80dules noethiriens 2 5. Spectre•••••• 3 modernes de l’optimisation mathématique stochastique dans le cadre général des 4 6. Le cas noetherien. 4 7. Ideaux pre. iers de formes. On y développe la méthodologie semimartingales continues. Après une associe. Chapitre 11. OUTILS IT SOUTES A) ainsi que les outils d’analyse mathématique introduction au mouvement brownien et à Filtr·ations et graduations. 8 I. Anneaux et de géométrie nécessaires à l’étude ses principales propriétés, les martingales et modules filtres • 8 2. Topologie definie des variations de domaines. [...] et les semimartingales continues sont par UDe filtration 9 10 3. Coapletion présentées en détail avant la construction de des modules filtres • • • II 4. Anneaux et 2005. XII, 334 p. (Mathématiques et modules graduis • • • • • 5. au tout redevient Applications, Volume 48) Softcover l’intégrale stochastique. Les outils du calcul stochastique, incluant la formule d’Itô, le noethirien; filtrations ~-adiques. [...] € (D) 63,90 | € (A) 65,69 | *CHF 86.00 théorème d’arrêt et de nombreuses applica- 3rd ed. 1975. X, 160 p. (Lecture Notes in € 59,72 | £ 47,99 tions, sont traités de manière rigoureuse. [...] Mathematics, Volume 11) Softcover Yellow Sale Price 2013. VIII, 176 p. 2 ill. (Mathématiques et € (D) 37,40 | € (A) 38,45 | *CHF 50.50 € (D) 32,09 | € (A) 32,99 | *CHF 33.00 Applications, Volume 71) Softcover € 34,95 | £ 27,00 € 29,99 | £ 22,99 € (D) 37,45 | € (A) 38,50 | *CHF 45.00 Yellow Sale Price 978-3-540-26211-4 € 35,00 | £ 32,00 € (D) 18,18 | € (A) 18,69 | *CHF 19.00 ,!7ID5E0-cgcbbe! Yellow Sale Price € 16,99 | £ 12,99 € (D) 18,18 | € (A) 18,69 | *CHF 19.00 978-3-540-07028-3 € 16,99 | £ 12,99 978-3-642-31897-9 ,!7ID5E0-ahacid! ,!7ID6E2-dbijhj!

J. Hiriart-Urruty, Université Paul Sabatier, V. Poenaru J. Serre, College de France Paris Chaire Toulouse Cedex 9, France d’Algebre et Geometrie, Paris CX 05, France Analyse differentielle Bases, outils et principes pour Cohomologie Galoisienne l’analyse variationnelle 1974. 228 p. (Lecture Notes in Mathematics, Volume 371) Softcover From the reviews: “This book surveys an L’étude mathématique des problèmes € (D) 37,40 | € (A) 38,45 | *CHF 50.50 elegant new subject which has developed d’optimisation, ou de ceux dits variationnels € 34,95 | £ 27,00 out of the cohomological treatment of class de manière générale (c’est-à-dire, « toute field theory by E. Artin and J. Tate. The bulk situation où il y a quelque chose à minimiser Yellow Sale Price of the early contributions were by Tate, and sous des contraintes »), requiert en préalable € (D) 18,18 | € (A) 18,69 | *CHF 19.00 we are greatly indebted to the author for qu’on en maîtrise les bases, les outils € 16,99 | £ 12,99 publishing them in his very lucid style. Many fondamentaux et quelques principes. Le 978-3-540-06665-1 others have made impressive discoveries in présent ouvrage est un cours répondant en the field science. [...] An Appendix by J.-L. partie à cette demande, il est principalement ,!7ID5E0-agggfb! Verier covers duality in profinite groups.” [...] destiné à des étudiants de Master en 5th ed. 1994. IX, 181 p. (Lecture Notes in formation, et restreint à l’essentiel. [...] Mathematics, Volume 5) Softcover 2013. XIII, 171 p. 36 ill. (Mathématiques et € (D) 37,40 | € (A) 38,45 | *CHF 50.50 Applications, Volume 70) Softcover € 34,95 | £ 27,00 € (D) 46,01 | € (A) 47,30 | *CHF 56.00 Yellow Sale Price € 43,00 | £ 39,00 € (D) 18,18 | € (A) 18,69 | *CHF 19.00 Yellow Sale Price € 16,99 | £ 12,99 € (D) 21,39 | € (A) 21,99 | *CHF 22.00 978-3-540-58002-7 € 19,99 | £ 14,99 978-3-642-30734-8 ,!7ID5E0-fiaach! ,!7ID6E2-dahdei!

76 springer.com | French Titles Yellow Salechapter 2017

C. Tricot Courbes et dimension fractale

Ce livre fait une revue de diverses techniques d’analyse des courbes planes, en vue des applications. Après une première partie sur les ensembles de mesure nulle sur la droite, une seconde traite des courbes “rectifiables” (de longueur finie), et une troisième, la plus importante, des courbes fractales. Pour cette seconde édition, certain chapitres ont été entièrement refondus et deux chapitres nouveaux ajoutés sur le thème des spectres multifractals. [...] 2nd ed. 1999. XX, 377 p. Softcover € (D) 26,70 | € (A) 27,45 | *CHF 36.00 € 24,95 | £ 19,00 Yellow Sale Price € (D) 16,04 | € (A) 16,49 | *CHF 16.50 € 14,99 | £ 11,99 978-3-540-65504-6 ,!7ID5E0-gffaeg!

M. Waldschmidt Nombres Transcendants

1974. 277 p. (Lecture Notes in Mathematics, Volume 402) Softcover € (D) 37,40 | € (A) 38,45 | *CHF 50.50 € 34,95 | £ 27,00 Yellow Sale Price € (D) 18,18 | € (A) 18,69 | *CHF 19.00 € 16,99 | £ 12,99 978-3-540-06874-7 ,!7ID5E0-agiheh!

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