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Matrix Algebra R. P. Agarwal, Texas A&M University - Kingsville, H. Albrecher, University of Lausanne, Lausanne, Kingsville, TX, USA; D. O’Regan, National University Switzerland; A. Binder, Mathconsult GmbH Theory, Computations, and Applications in of Ireland University College Galway, Galway, Ireland Kompetenzzentrum Industriemathematik, Linz, Statistics Austria; V. Lautscham, University of Lausanne, Ordinary and Partial Lausanne, Switzerland; P. Mayer, TU Graz, Graz, This much-needed work presents, among other Differential Equations Austria things, the relevant aspects of the theory of matrix algebra for applications in statistics. Written in an With Special Functions, Fourier Series, and Introduction to Quantitative informal style, it addresses computational issues Boundary Value Problems Methods for Financial Markets and places more emphasis on applications than existing texts. In this textbook, the authors introduce ODEs and This book covers a broad range of topics in finan- PDEs through 50 class-tested lectures. Mathemati- cial mathematics and quantitative modeling, from cal concepts are explained with clarity and rigor, 2007. XXII, 530 p. (Springer Texts in Statistics) products and concepts, via model development, Hardcover using fully worked-out examples and helpful up to the calibration of models to market data and ISBN 978-0-387-70872-0 illustrations. Exercises are provided for practice. implementation of pricing algorithms. 7 $99.00 2009. (Universitext) Softcover 2013. IX, 191 p. 48 illus., 10 illus. in color. Yellow Sale Price ISBN 978-0-387-79145-6 (Compact Textbooks in Mathematics) Softcover 7 $49.99 7 $59.95 ISBN 978-3-0348-0518-6 Yellow Sale Price 7 $49.99 9
O. Aalen, University of Oslo Inst. Basic Medical M. Aigner, Freie Universität Berlin Fachbereich J. M. Aldous, R. J. Wilson Sciences, Oslo, Norway; O. Borgan, Department Mathematik und Informatik, Berlin, Germany of Mathematics University of Oslo, Oslo, Norway; Graphs and Applications H. Gjessing, Norwegian Institute of Public Health, Markov’s Theorem and 100 An Introductory Approach Oslo, Norway Years of the Uniqueness Illustrations by: S. Best Survival and Event History Conjecture Analysis A Mathematical Journey from Irrational Discrete Mathematics is one of the fastest growing areas in mathematics today with an ever-increas- Numbers to Perfect Matchings A Process Point of View ing number of courses in schools and universities. This book takes the reader on a mathematical Graphs and Applications is based on a highly This text bridges the gap between standard successful Open University course and the authors models, and those where the dynamic structure journey from the number-theoretic setting of the Theorem of Markov and its Uniqueness Conjec- have paid particular attention to the presentation, of the data manifests itself fully. The common clarity and arrangement of the material, mak- thread is stochastic processes. The authors show ture, gradually unfolding many beautiful connec- tions, until in the proof of the Theorem everything ing it ideally suited for independent study and how martingales and stochastic integrals fit with classroom use. censored data. falls into place. Only available in print 2008. (Statistics for Biology and Health) Hardcover 2013. X, 257 p. 72 illus. Hardcover ISBN 978-0-387-20287-7 ISBN 978-3-319-00887-5 7 $69.99 1st Corrected ed. 2000. Corr. 3rd printing 7 $169.00 2003. XI, 444p. 644 illus.. Softcover Yellow Sale Price Yellow Sale Price ISBN 978-1-85233-259-4 $59.99 $54.95 7 $89.99 7 7 Yellow Sale Price 9
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I. Amidror, Ecole Polytechnique Fédérale de A. Ancona, Orsay, France; K. D. Elworthy, University J. Anderson, University of Southampton School of Lausanne, Switzerland of Warwick Inst. Mathematics, Coventry, UK; Mathematics, Southampton, UK M. Emery, Université de Strasbourg, Strasbourg, Mastering the Discrete Fourier France; H. Kunita, Kyushu University, Fukuoka, Japan Hyperbolic Geometry Transform in One, Two or Stochastic Differential Thoroughly updated, featuring new material on Several Dimensions important topics such as hyperbolic geometry in Geometry at Saint-Flour higher dimensions and generalizations of hyper- Pitfalls and Artifacts bolicity Includes full solutions for all exercises Kunita, H.:Stochastic differential equations and Successful first edition sold over 800 copies in The discrete Fourier transform (DFT) is an ex- stochastic flows of diffeomorphisms.-Elworthy, D.: North America. tremely useful tool that finds application in many Geometric aspects of diffusions on manifolds.- different disciplines. However, its use requires Ancona, A.:Théorie du potential sur les graphs et 2nd ed. 2005. Corr. 2nd printing. XII, 276 p. 21 caution. The aim of this book is to explain the les variétiés.-Emery, M.:Continuous martingales illus. (Springer Undergraduate Mathematics Series) DFT and its various artifacts and pitfalls and to in differentiable manifolds. Softcover show how to avoid these (whenever possible), or ISBN 978-1-85233-934-0 at least how to recognize them in order to avoid Only available in print 7 $49.95 misinterpretations. 2013. VIII, 507 p. (Probability at Saint-Flour) Softcover 2013. XII, 375 p. (Computational Imaging and Vision, ISBN 978-3-642-34170-0 Yellow Sale Price Volume 43) Hardcover 7 $69.95 7 $29.99 ISBN 978-1-4471-5166-1 Yellow Sale Price 7 $129.00 9
H. Ammari, École Normale Supérieure, Paris, France; I. Anderson T. Andreescu, University of Texas at Dallas Natural J. Garnier, University Paris VII, Paris, France; W. Jing, Sciences and Mathematics, Richardson, TX, USA; École Normale Supérieure, Paris, France; H. Kang, A First Course in Discrete Z. Feng, Exeter, NH, USA Inha University, Incheon, Korea, Republic of (South Mathematics Korea); M. Lim, Korean Advanced Institute of Science 102 Combinatorial Problems and Technology (KASIT), Daejeon, Korea, Republic Discrete mathematics has now established its From the Training of the USA IMO Team of (South Korea); K. Solna, University of California, place in most undergraduate mathematics courses. Irvine School of Physical Sciences, Irvine, CA, USA; This textbook provides a concise, readable and “102 Combinatorial Problems” consists of care- H. Wang, École Normale Supérieure, Paris, France accessible introduction to a number of topics in fully selected problems that have been used in this area, such as enumeration, graph theory, Latin the training and testing of the USA International Mathematical and Statistical squares and designs. It is aimed at second-year un- Mathematical Olympiad (IMO) team. Methods for Multistatic dergraduate mathematics students, and provides them with many of the basic techniques, ideas 2003. XII, 115 p. Softcover Imaging and results. It contains many worked examples, ISBN 978-0-8176-4317-1 and each chapter ends with a large number of $49.95 This book covers recent mathematical, numerical, 7 exercises, with hints or solutions provided for and statistical approaches for multistatic imag- most of them. Yellow Sale Price ing of targets with waves at single or multiple 7 $29.99 frequencies. The waves can be acoustic, elastic or 2002. VIII, 200 p. (Springer Undergraduate electromagnetic. Mathematics Series) Softcover 9
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T. Andreescu, University of Texas at Dallas Natural T. Andreescu, University of Texas at Dallas Natural E. Arbarello, Università di Roma La Sapienza Sciences and Mathematics, Richardson, TX, USA; Sciences and Mathematics, Richardson, TX, USA; Dipartimento di Matematica, Roma, Italy; Z. Feng, Exeter, NH, USA Z. Feng, Exeter, NH, USA M. Cornalba, Università di Pavia Dipartimento di Matematica, Pavia, Italy; P. Griffiths, Princeton 103 Trigonometry Problems A Path to Combinatorics for University Institute for Advanced Study, Princeton, From the Training of the USA IMO Team Undergraduates NJ, USA
* Problem-solving tactics and practical test- Counting Strategies Geometry of Algebraic Curves taking techniques provide in-depth enrichment The main goal of the two authors is to help Volume II with a contribution by Joseph and preparation for various math competitions undergraduate students understand the concepts Daniel Harris * Comprehensive introduction to trigonometric and ideas of combinatorics, an important realm functions, their relations and functional proper- With contrib. by: J. D. Harris, Harvard University of mathematics, and to enable them to ultimately ties, and their applications in the Euclidean plane Dept. Mathematics, Cambridge, MA, USA achieve excellence in this field. This goal is ac- and solid geometry * A cogent problem-solving complished by familiariz ing students with typical resource for advanced high school students, un- examples illustrating central mathematical facts, 2011. XXX, 963p. 112 illus., 30 illus. in color. dergraduates, and mathematics teachers engaged and by challenging students with a number of (Grundlehren der mathematischen Wissenschaften, in competition training. carefully selected problems. Volume 268) Hardcover ISBN 978-3-540-42688-2 2005. XII, 214 p. 79 illus. Softcover 2004. XIX, 228 p. Softcover 7 $119.00 ISBN 978-0-8176-4334-8 ISBN 978-0-8176-4288-4 $49.95 Yellow Sale Price $54.95 7 7 $69.99 Yellow Sale Price Yellow Sale Price 7 $29.99 7 $29.99 9
T. Andreescu, University of Texas at Dallas Natural T. Andreescu, University of Texas at Dallas Natural V. I. Arnold, Russian Academy of Sciences Steklov Sciences and Mathematics, Richardson, TX, USA; Sciences and Mathematics, Richardson, TX, USA; Mathematical Institute, Moscow, Russia D. Andrica, Babeş-Bolyai University Faculty of D. Andrica, Babeş-Bolyai University Faculty of Mathematics and Computer Scie, Cluj-Napoca, Mathematics and Computer Scie, Cluj-Napoca, Ordinary Differential Equations Romania; Z. Feng, Exeter, NH, USA Romania; I. Cucurezeanu, Ovidius University of Transl. Russian: R. Cooke, Delft University of Constanta Faculty of Mathematics and Computer Technology Dept. Mathematics, Delft, Netherlands 104 Number Theory Problems Scie, Constanta, Romania From the Training of the USA IMO Team An Introduction to Diophantine The first two chapters of this book have been thoroughly revised and sig nificantly expanded. This challenging problem book is written by Equations Sections have been added on elementary methods renowned US Olympiad coaches, mathematics A Problem-Based Approach of in tegration (on homogeneous and inho- teachers, and researchers. It develops a multitude mogeneous first-order linear equations and on of problem-solving skills needed to excel in math- This problem-solving book is an introduction to homogeneous and quasi-homogeneous equa- ematical contests and in mathematical research in the study of Diophantine equations. It introduces tions), on first-order linear and quasi-linear partial number theory. the reader to elementary methods necessary in differential equations, on equations not solved for solving Diophantine equations and contains com- the derivative, and on Sturm’s theorems on the 2007. XII, 204 p. Softcover plete solutions to all exercises. zeros of second-order linear equa tions. Thus the ISBN 978-0-8176-4527-4 new edition contains all the questions of the cur- 7 $49.95 rent syllabus in the theory of ordinary differential 2010. XI, 345p. Hardcover equations. Yellow Sale Price ISBN 978-0-8176-4548-9 7 $29.99 7 $59.95 1st ed 1992. 2nd printing 2006. IV, 338 p. 272 Yellow Sale Price illus. (Universitext) Softcover 9
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V. I. Arnold, Russian Academy of Sciences Steklov R. Azencott, University of Houston Department J. Bak, City College of New York, New York, NY, USA; Mathematical Institute, Moscow, Russia of Mathematics, Houston, TX, USA; M. I. Freidlin, D. J. Newman, Temple University, Philadelphia, PA, I. Itenberg, Université Pierre et Marie Curie Dept. University of Maryland Department of Mathematics, USA of Mathematics, Paris, France; V. Kharlamov, College Park, USA; S. Varadhan, New York University University of Strasbourg CNRS - IRMA, Strasbourg, Department of Mathematics, New York, NY, USA Complex Analysis France; E. I. Shustin, University of Tel Aviv Fac. Exact Large Deviations at Saint-Flour Accessible to students at their early stages of Sciences, Tel Aviv, Israel (Eds) mathematical study, this full first year course in Real Algebraic Geometry Contents: Azencott, R. : Large deviations and complex analysis offers new and interesting moti- applications.- Freidlin, Mark I. Semi-linear PDE’s vations for classical results and introduces related Transl. Russian: G. G. Gould, Cardiff University, and limit theorems for large deviations- Varadhan, topics stressing motivation and technique. Numer- Cardiff, UK Srinivasa R.S.: Large deviations and applications. ous illustrations, examples, and now 300 exercises, enrich the text. Students who master this textbook This book addresses the relationship between Only available in print will emerge with an excellent grounding in com- algebraic formulas and geometric images. In spite plex analysis, and a solid understanding of its wide 2013. VIII, 371 p. (Probability at Saint-Flour) Softcover of the simplicity and importance of this problem, applicability. it remains unsolved to this day although, as the ISBN 978-3-642-33199-2 book shows, many remarkable results have been 7 $69.95 3rd ed. 2010. XII, 328 p. (Undergraduate Texts in discovered. Yellow Sale Price Mathematics) Hardcover 7 $39.99 ISBN 978-1-4419-7287-3 2013. IX, 100 p. 126 illus. (UNITEXT / La 7 $74.95 Matematica per il 3+2, Volume 66) Softcover ISBN 978-3-642-36242-2 9
K. Atkinson, University of Iowa Department of D. Bachman, Pitzer College, Claremont, CA, USA A. Baker Mathematics &, Iowa City, IA, USA; W. Han, University of Iowa City, Iowa City, IA, USA A Geometric Approach to Matrix Groups Theoretical Numerical Analysis Differential Forms An Introduction to Lie Group Theory A Functional Analysis Framework This text presents differential forms from a geo- Aimed at advanced undergraduate and beginning metric perspective accessible at the undergraduate graduate students, this book provides a first taste This book prepares graduate students for research level. The book begins with basic concepts such as of the theory of Lie groups as an appetiser for a in numerical analysis/computational mathematics partial differentiation and multiple integration and more substantial further course. Lie theoretic ideas by giving a mathematical framework embedded gently develops the entire machinery of differen- lie at the heart of much of standard undergraduate in functional analysis and focused on numerical tial forms. linear algebra and exposure to them can inform analysis. This helps them to move rapidly into a or motivate the study of the latter. The main focus research program. 2nd ed. 2012. XVI, 156p. 43 illus.. Hardcover is on matrix groups, i.e., closed subgroups of ISBN 978-0-8176-8303-0 real and complex general linear groups. The first 3rd ed. 2009. (Texts in Applied Mathematics, 7 $49.95 part studies examples and describes the classical Volume 39) Hardcover families of simply connected compact groups. The ISBN 978-1-4419-0457-7 Yellow Sale Price second part introduces the idea of a lie group and 7 $79.95 7 $29.99 studies the associated notion of a homogeneous space using orbits of smooth actions. Yellow Sale Price 9
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D. Bakry, Université Toulouse III Labo. Statistiques L. Barreira, C. Valls, Instituto Superior Técnico M. Beck, San Francisco State University, San et Probabilities, Toulouse CX, France; M. Ledoux, Departamento de Matemática, Lisbon, Portugal Francisco, CA, USA; R. Geoghegan, Binghamton Université Paul Sabatier Institut de Mathématiques, University State University of New York, Binghamton, Toulouse Cedex 9, France; L. Saloff-Coste, Cornell Dynamical Systems NY, USA University Department of Mathematics, Ithaca, NY, An Introduction USA The Art of Proof This concise introduction to dynamical systems Basic Training for Deeper Mathematics Markov Semigroups at Saint- contains a large number of examples and exercises. Flour It is an ideal textbook for a one-semester or two- Written to accompany a one- or two-semester semester course at the advanced undergraduate or course, this text combines rigor and wit to cover Bakry, Dominique: Hypercontractivity and its beginning graduate levels. a plethora of topics from integers to uncountable Usage in Semigroup Theory.- Ledoux, Michel: Iso- sets. It teaches methods such as axiom, theorem, perimetry and Gaussian Analysis.- Saloff-Coste, 2013. IX, 209 p. 44 illus. (Universitext) Softcover and proof through the mathematics rather than in Laurent: Lectures on Finite Markov Chains. ISBN 978-1-4471-4834-0 abstract isolation. 7 $69.95 Only available in print 2010. XXII, 182 p. 23 illus. (Undergraduate Texts in Yellow Sale Price Mathematics) Hardcover 2012. VI, 359p. (Probability at Saint-Flour) Softcover 7 $49.99 ISBN 978-1-4419-7022-0 ISBN 978-3-642-25937-1 $39.95 7 $49.95 9
J. Baldeaux, E. Platen, University of Technology H. H. Bauschke, University of British Columbia G. Bellettini, Università di Roma “Tor Vergata”, Roma, Sydney Finance Discipline Group, Haymarket, NSW, Okanagan Campus, Kelowna, BC, Canada; Italy Australia P. L. Combettes, Université Pierre et Marie Curie Lecture Notes on Mean Functionals of Laboratoire Jacques-Louis Lions, Paris, France Convex Analysis and Monotone Curvature Flow: Barriers and Multidimensional Diffusions Singular Perturbations with Applications to Finance Operator Theory in Hilbert Spaces This book offers an introduction to mean curva- This research monograph provides an introduc- ture flow, including the short time existence result, tion to tractable multidimensional diffusion mod- This book examines results of convex analysis using the signed distance function. It features a els. It also offers an introduction to the use of Lie and optimization in Hilbert space, presenting a detailed study of minimal barriers and their regu- symmetry group methods for diffusions, which concise exposition of related theory that allows larizations for mean curvature flow. allows to compute a wide range of functionals. for algorithms to construct solutions to problems in optimization, equilibrium theory, monotone 2014. Approx. 350 p. (Publications of the Scuola 2013. XXIII, 425 p. 38 illus., 27 illus. in color. (Bocconi inclusions and more. Normale Superiore / Lecture Notes (Scuola Normale & Springer Series, Volume 5) Hardcover Superiore), Volume 12) Softcover ISBN 978-3-319-00746-5 2011. XVI, 468 p. (CMS Books in Mathematics) ISBN 978-88-7642-428-1 $129.00 Hardcover 7 7 $29.99 ISBN 978-1-4419-9466-0 Yellow Sale Price 7 $149.00 Yellow Sale Price $79.99 7 7 $19.99 Yellow Sale Price 9
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H. Bellout, F. Bloom, Northern Illinois University, I. Benjamini, The Weizmann Institute of Science, J. Berggren, Simon Fraser University, Burnaby, BC, DeKalb, IL, USA Rehovot, Israel Canada Incompressible Bipolar and Coarse Geometry and Episodes in the Mathematics of Non-Newtonian Viscous Fluid Randomness Medieval Islam
Flow École d’Été de Probabilités de Saint-Flour This book presents episodes from the mathemat- XLI – 2011 ics of medieval Islam, work which has had a great This book provides a comprehensive and consoli- impact on the development of mathematics. The dated reference for the multipolar fluid model. It These lecture notes study the interplay between author describes the subject in its proper historical presents applications of the model to standard as randomness and geometry of graphs. The first part context, referring to specific Arabic texts. Among well as non-standard problems. of the notes reviews several basic geometric con- the topics discussed are decimal arithmetic, plane cepts, before moving on to examine the manifesta- and spherical trigonometry, algebra, interpolation Distribution rights for India: Delhi Book Store, New tion of the underlying geometry in the behavior of Delhi, India and approximation of roots of equations. This random processes, mostly percolation and random book should be of great interest to historians of 2014. XX, 569 p. 16 illus. (Advances in Mathematical walk. The study of the geometry of infinite vertex mathematics, as well as to students of mathemat- Fluid Mechanics) Hardcover transitive graphs, and of Cayley graphs in particu- ics. The presentation is readily accessible to anyone ISBN 978-3-319-00890-5 lar, is fairly well developed. with a background in high school mathematics. 7 $149.00 2013. VII, 129 p. 6 illus., 3 illus. in color. (Lecture Softcover reprint of the original 1st ed. 1986. XIV, 197 Notes in Mathematics / École d’Été de Probabilités Yellow Sale Price p. 18 illus. Softcover de Saint-Flour, Volume 2100) Softcover 7 $99.00 ISBN 978-0-387-40605-3 ISBN 978-3-319-02575-9 7 $69.99 7 $49.99 9
E. Beltrami M. Berger, Institut des Hautes Études Scientifiques J. Bernstein, University of Tel Aviv Fac. Exact What Is Random? (IHES), Bures-sur-Yvette, France Sciences, Tel Aviv, Israel; S. Gelbart (Eds) Chance and Order in Mathematics and Life A Panoramic View of An Introduction to the Riemannian Geometry Langlands Program In this fascinating book, mathematician Ed With contrib. by: S. Kudla, E. Kowalski, E. d. Shalit, Beltrami takes a close enough look at randomness Riemannian geometry has today become a vast D. Gaitsgory, J. Cogdell, D. Bump to make it mysteriously disappear. The results of and important subject. This new book of Marcel coin tosses, it turns out, are determined from the Berger sets out to introduce readers to most of the start, and only our incomplete knowledge makes living topics of the field and convey them quickly For the past several decades the theory of auto- them look random. “Random” sequences of num- to the main results known to date. These results morphic forms has become a major focal point bers are more elusive, but Godels undecidability are stated without detailed proofs but the main of development in number theory and algebraic theorem informs us that we will never know. ideas involved are described and motivated. This geometry, with applications in many diverse Those familiar with quantum indeterminacy as- enables the reader to obtain a sweeping panoramic areas, including combinatorics and mathematical sert that order is an illusion, and that the world view of almost the entirety of the field. physics. The twelve chapters of this monograph is fundamentally random. Yet randomness is also present a broad, user-friendly introduction to the an illusion. Perhaps order and randomness, like 1st ed. 2003. Corr. 2nd printing 2007. XXIII, 824 p. Langlands program, that is, the theory of auto- waves and particles, are only two sides of the same Hardcover morphic forms and its connection with the theory (tossed) coin. ISBN 978-3-540-65317-2 of L-functions and other fields of mathematics. 7 $99.00 1999. XX, 201 p. Hardcover 2004. IX, 281 p. Softcover ISBN 978-0-387-98737-8 Yellow Sale Price ISBN 978-0-8176-3211-3 $49.99 7 $22.00 7 7 $54.95 Yellow Sale Price 9
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Y. Bertot, INRIA Valbonne Centre Sophia Antipolis, E. D. Bloch, Bard College, Annandale-on-Hudson, T. Blyth, University of St. Andrews Dept. Valbonne CX, France; P. Castéran NY, USA Mathematics, St. Andrews, Fife, UK; E. F. Robertson Interactive Theorem Proving Proofs and Fundamentals Further Linear Algebra
and Program Development A First Course in Abstract Mathematics Most of the introductory courses on linear algebra develop the basic theory of finite dimensional Coq’Art: The Calculus of Inductive This book is designed as a “transition” course to vector spaces, and in so doing relate the notion Constructions introduce undergraduates to the writing of rigor- of a linear mapping to that of a matrix. Generally ous mathematical proofs, and to such fundamental Foreword by: G. Huet, C. Paulin-Mohring speaking, such courses culminate in the diagonali- mathematical ideas as sets, functions, relations, sation of certain matrices and the application of and cardinality. Informal discussion plays a key A practical introduction to the development of this process to various situations. Such is the case, role. proofs and certified programs using Coq. An for example, in our previous SUMS volume Basic invaluable tool for researchers, students, and Linear Algebra. The present text is a continuation 2nd ed. 2011. XXVI, 358 p. (Undergraduate Texts engineers interested in formal methods and the of that volume, and has the objective of introduc- in Mathematics) Hardcover development of zero-fault software. ing the reader to more advanced properties of vec- ISBN 978-1-4419-7126-5 tor spaces and linear mappings, and consequently 7 $74.95 2004. XXV, 472 p. (Texts in Theoretical Computer of matrices. Science. An EATCS Series) Hardcover Yellow Sale Price ISBN 978-3-540-20854-9 7 $49.99 2002. VII, 230 pp. Uncorr. 2nd printing (Springer 7 $109.00 Undergraduate Mathematics Series) Softcover ISBN 978-1-85233-425-3 Yellow Sale Price 9
N. H. Bingham, R. Kiesel T. Blyth, University of St. Andrews Dept. D. Boffi, University of Pavia Dipartimento di Mathematics, St. Andrews, Fife, UK; E. Robertson Matematica “F. Casorati”, Pavia, Italy; F. Brezzi, IUSS Risk-Neutral Valuation - Istituto Universitario di Studi Superiori, Pavia, Italy; Pricing and Hedging of Financial Derivatives Basic Linear Algebra M. Fortin, Université Laval Dépt. Mathematique et Basic Linear Algebra is a text for first year students Statistique, Quebec, QC, Canada This second edition - completely up to date with leading from concrete examples to abstract theo- new exercises - provides a comprehensive and self- Mixed Finite Element Methods rems, via tutorial-type exercises. More exercises contained treatment of the probabilistic theory (of the kind a student may expect in examination and Applications behind the risk-neutral valuation principle and its papers) are grouped at the end of each section. application to the pricing and hedging of financial Here is a framework for mixed finite element The book covers the most important basics of derivatives. On the probabilistic side, both dis- methods, moving from a finite dimensional any first course on linear algebra, explaining the crete- and continuous-time stochastic processes presentation, then on to formulation in Hilbert algebra of matrices with applications to analytic are treated, with special emphasis on martingale spaces and approximations, stabilized methods geometry, systems of linear equations, difference theory, stochastic integration and change-of- and eigenvalue problems. Offers examples: Stokes’ equations and complex numbers. Linear equations measure techniques. Based on firm probabilistic problem, elasticity and more. are treated via Hermite normal forms which pro- foundations, general properties of discrete- and vides a successful and concrete explanation of the continuous-time financial market models are 2013. XIV, 685 p. 67 illus. (Springer Series in notion of linear independence. discussed. Computational Mathematics, Volume 44) Hardcover ISBN 978-3-642-36518-8 2nd ed. 2002. XI, 232 p. (Springer Undergraduate 2nd ed. 2004. XVIII, 438 p. (Springer Finance / 7 $149.00 Mathematics Series) Softcover Springer Finance Textbooks) Hardcover ISBN 978-1-85233-662-2 Yellow Sale Price ISBN 978-1-85233-458-1 7 $49.95 7 $89.99 7 $99.00 Yellow Sale Price Yellow Sale Price 9
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J. M. Borwein, University of Newcastle, Newcastle, R. J. Boucherie, University of Twente Dept. N. Bourbaki, Ecole normale supérieure, Paris Cedex Australia; M. P. Skerritt, The University of Newcastle, Mathematical Sciences, Enschede, Netherlands; 05, France Callaghan, NSW, Australia N. M. van Dijk, University of Amsterdam, Amsterdam, Netherlands (Eds) Algebra I An Introduction to Modern Chapters 1-3 Mathematical Computing Queueing Networks A Fundamental Approach This is the softcover reprint of the English transla- With Mathematica® tion of 1974 (available from Springer since 1989) Presenting an overview of the field, this volume of the first 3 chapters of Bourbaki’s ‘Algèbre’. It An essential read for mathematicians, this volume discusses computational aspects of queueing gives a thorough exposition of the fundamentals looks beyond the syntax and semantics of Math- networks and their applications. The text examines of general, linear and multilinear algebra. The first ematica and other programs. It focuses on why both analytical and structural results of current chapter introduces the basic objects: groups, ac- they are necessary tools for anyone who engages research on the topic, presenting a valuable refer- tions, rings, fields. The second chapter studies the in mathematics, as well as showing how to create ence for students, researchers and professionals. properties of modules and linear maps, especially better proofs. with respect to the tensor product and duality 2011. XXIV, 800 p. (International Series in Operations constructions. The third chapter investigates alge- 2012. XVI, 224 p. 95 illus., 91 illus. in color. Research & Management Science, Volume 154) bras, in particular tensor algebras. Determinants, (Springer Undergraduate Texts in Mathematics and Hardcover norms, traces and derivations are also studied. Technology) Hardcover ISBN 978-1-4419-6471-7 ISBN 978-1-4614-4252-3 7 $269.00 1st ed. 1989. 2nd printing 1998. XXIV, 710 p. 7 $59.95 Yellow Sale Price Softcover ISBN 978-3-540-64243-5 Yellow Sale Price 7 $139.00 7 $29.99 7 $74.95 9
U. Bottazzini, Università degli Studi di Milano, S. Boucksom, CNRS-Université Pierre et Marie N. Bourbaki, Ecole normale supérieure, Paris Cedex Milano, Italy; J. Gray, The Open University, Milton Curie, Paris, France; P. Eyssidieux, Université Joseph 05, France Keynes, UK Fourier, Saint-Martin d’Hères, France; V. Guedj, Algebra II Hidden Harmony—Geometric Université Paul Sabatier, Toulouse, France (Eds) An Introduction to the Kähler- Chapters 4 - 7 Fantasies Transl. French: P. Cohn, University College London The Rise of Complex Function Theory Ricci Flow Fac. Science, London, UK; J. Howie This volume collects lecture notes from courses This book details the history of complex function offered at several conferences and workshops, and This is a softcover reprint of the English transla- theory. It examines the rise of elliptic function the- provides the first exposition in book form of the tion of 1990 of the revised and expanded version ory, differential equations in the complex domain, basic theory of the Kähler-Ricci flow and its cur- of Bourbaki’s, Algèbre, Chapters 4 to 7 (1981). geometric function theory, and the early years of rent state-of-the-art. While several excellent books This completes Algebra, 1 to 3, by establishing the complex function theory in several variables. on Kähler-Einstein geometry are available, there theories of commutative fields and modules over a principal ideal domain. Chapter 4 deals with 2013. XVII, 848 p. 38 illus., 2 illus. in color. (Sources have been no such works on the Kähler-Ricci flow. polynomials, rational fractions and power series. and Studies in the History of Mathematics and 2013. VIII, 333 p. 10 illus. (Lecture Notes in A section on symmetric tensors and polynomial Physical Sciences) Hardcover Mathematics, Volume 2086) Softcover mappings between modules, and a final one on ISBN 978-1-4614-5724-4 ISBN 978-3-319-00818-9 symmetric functions, have been added. Chapter 5 7 $189.00 7 $89.99 was entirely rewritten. Yellow Sale Price Yellow Sale Price 7 $119.00 1st ed. 1990. 2nd printing 2003. VII, 453 p. 7 $59.99 (Elements of Mathematics) Softcover ISBN 978-3-540-00706-7 9
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N. Bourbaki, Ecole normale supérieure, Paris Cedex N. Bourbaki, Ecole normale supérieure, Paris Cedex A. Bretto, Universite de Caen, Caen, France 05, France 05, France Hypergraph Theory Commutative Algebra Lie Groups and Lie Algebras An Introduction Chapters 1-7 Chapters 4-6 This book presents hypergraph theory and cov- This is the softcover reprint of the English transla- This is the soft cover reprint of the English transla- ers traditional elements of the theory as well as tion of 1972 (available from Springer since 1989) tion of Bourbaki’s text Groupes et Algèbres de Lie, original concepts such as entropy of hypergraph, of the first 7 chapters of Bourbaki’s ‘Algèbre Chapters 4 to 6. similarities and kernels. It details applications in commutative’. It provides a very complete treat- telecommunications and parallel data structure ment of commutative algebra, enabling the reader Only available in print modeling. to go further and study algebraic or arithmetic 1st ed. 2002. 2nd printing 2008. XII, 300 p. Softcover geometry. The first 3 chapters treat in succession 2013. XIII, 119 p. 42 illus. (Mathematical Engineering) ISBN 978-3-540-69171-6 the concepts of flatness, localization and comple- Hardcover 7 $89.99 tions (in the general setting of graduations and ISBN 978-3-319-00079-4 7 $109.00 filtrations). Chapter 4 studies associated prime Yellow Sale Price ideals and the primary decomposition. Chapter 5 7 $49.99 Yellow Sale Price deals with integers, integral closures and finitely 7 $79.99 generated algebras over a field (including the 9
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N. Bourbaki, Ecole normale supérieure, Paris Cedex N. Bourbaki, Ecole normale supérieure, Paris Cedex C. Brezinski, Villeneuve d’Ascq, France; A. Sameh, 05, France 05, France Purdue University, West Lafayette, IN, USA (Eds) Lie Groups and Lie Algebras Lie Groups and Lie Algebras Walter Gautschi, Volume 1 Chapters 1-3 Chapters 7-9 Selected Works with Commentaries
This is the softcover reprint of the English transla- This is the soft cover reprint of the English transla- Walter Gautschi has written extensively on top- tion of 1975 (available from Springer since 1989) tion of Bourbaki’s text Groupes et Algèbres de ics ranging from special functions, quadrature of the first 3 chapters of Bourbaki’s ‘Groupes et Lie, Chapters 7 to 9. It covers the structure and and orthogonal polynomials to difference and algèbres de Lie’. The first chapter describes the representation theory of semi-simple Lie algebras differential equations, software implementations, theory of Lie algebras, their derivations, their and compact Lie groups. and the history of mathematics. He is world representations and their enveloping algebras. In renowned for his pioneering work in numerical Ch. 2, free Lie algebras are introduced in order 1st ed. 2005. 2nd printing 2008. XII, 434 p. Softcover analysis and constructive orthogonal polynomi- to discuss the exponential, logarithmic and the ISBN 978-3-540-68851-8 als, including a definitive textbook in the former, Hausdorff series. Ch. 3 deals with the theory of Lie 7 $89.99 and a monograph in the latter area. This three- groups over R and C and ultrametric fields. volume set, Walter Gautschi: Selected Works with Yellow Sale Price Commentaries, is a compilation of Gautschi’s most 7 $49.99 Only available in print influential papers and includes commentaries by leading experts. 1st ed. 1989. 2nd printing 1998. XVII, 450 p. 9
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C. Brezinski, Villeneuve d’Ascq, France; A. Sameh, N. Britton P. J. Brockwell, Colorado State University Dept. Purdue University, West Lafayette, IN, USA (Eds) Essential Mathematical Biology Statistics, Fort Collins, CO, USA; R. A. Davis, Columbia Walter Gautschi, Volume 2 University Dept. Statistics, New York, NY, USA Essential Mathematical Biology is a self-contained Introduction to Time Series and Selected Works with Commentaries introduction to the fast-growing field of math- ematical biology. Written for students with a Forecasting Walter Gautschi has written extensively on top- mathematical background, it sets the subject in its ics ranging from special functions, quadrature Some of the key mathematical results are stated historical context and then guides the reader to- and orthogonal polynomials to difference and without proof in order to make the underlying wards questions of current research interest, pro- differential equations, software implementations, theory accessible to a wider audience. The book viding a comprehensive overview of the field and and the history of mathematics. He is world assumes a knowledge only of basic calculus, ma- a solid foundation for interdisciplinary research renowned for his pioneering work in numerical trix algebra, and elementary statistics. The empha- in the biological sciences. A broad range of topics analysis and constructive orthogonal polynomi- sis is on methods and the analysis of data sets. The is covered including: Population dynamics, Infec- als, including a definitive textbook in the former, logic and tools of model-building for stationary tious diseases, Population genetics and evolution, and a monograph in the latter area. This three- and nonstationary time series are developed in de- Dispersal, Molecular and cellular biology, Pattern volume set, Walter Gautschi: Selected Works with tail and numerous exercises, many of which make formation, and Cancer modelling. This book will Commentaries, is a compilation of Gautschi’s most use of the included computer package, provide the appeal to 3rd and 4th year undergraduate students influential papers and includes commentaries by reader with ample opportunity to develop skills in studying mathematical biology. leading experts. this area. 1st ed. 2003. Corr. 2nd printing. XV, 335 p. 92 2014. XIII, 914 p. 33 illus. (Contemporary 2nd ed. 2002. Corr. 9th printing 2010. XIV, illus. (Springer Undergraduate Mathematics Series) Mathematicians) Hardcover 437 p. With online files/update. (Springer Texts in Softcover ISBN 978-1-4614-7048-9 Statistics) Hardcover ISBN 978-1-85233-536-6 7 $189.00 ISBN 978-0-387-95351-9 7 $49.95 Yellow Sale Price 7 $119.00 Yellow Sale Price 7 $109.00 Yellow Sale Price 7 $29.99 9
C. Brezinski, Villeneuve d’Ascq, France; A. Sameh, P. J. Brockwell, Colorado State University Dept. A. E. Brouwer, Eindhoven University of Technology, Purdue University, West Lafayette, IN, USA (Eds) Statistics, Fort Collins, CO, USA; R. A. Davis, Columbia Eindhoven, Netherlands; W. H. Haemers, Tilburg Walter Gautschi, Volume 3 University Dept. Statistics, New York, NY, USA University, Tilburg, Netherlands Selected Works with Commentaries Introduction to Time Series and Spectra of Graphs Forecasting This book begins with the basics of graph spectra Walter Gautschi has written extensively on top- for ordinary and Laplace and Seidel spectra, and ics ranging from special functions, quadrature Some of the key mathematical results are stated adds material on trees, strongly regular graphs, and orthogonal polynomials to difference and without proof in order to make the underlying two-graphs, association schemes, p-ranks of differential equations, software implementations, theory accessible to a wider audience. The book configurations and more. Includes exercises, tables and the history of mathematics. He is world assumes a knowledge only of basic calculus, ma- and references. renowned for his pioneering work in numerical trix algebra, and elementary statistics. The empha- analysis and constructive orthogonal polynomi- sis is on methods and the analysis of data sets. The 2012. XIV, 250 p. (Universitext) Hardcover als, including a definitive textbook in the former, logic and tools of model-building for stationary ISBN 978-1-4614-1938-9 and a monograph in the latter area. This three- and nonstationary time series are developed in de- $59.95 volume set, Walter Gautschi: Selected Works with tail and numerous exercises, many of which make 7 Commentaries, is a compilation of Gautschi’s most use of the included computer package, provide the Yellow Sale Price influential papers and includes commentaries by reader with ample opportunity to develop skills in 7 $39.99 leading experts. this area. 2014. XI, 767 p. 91 illus., 29 illus. in color. 9
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A. Browder L. M. Bujorianu, University of Manchester School of F. Bullo, University of California, Santa Barbara Mathematics, Manchester, UK College of Engineering, Santa Barbara, CA, USA; Mathematical Analysis A. D. Lewis, Queen’s University, Kingston Dept. An Introduction Stochastic Reachability Analysis Mathematics & Statistics, Kingston, ON, Canada of Hybrid Systems This book introduces analysis, from the basics of Geometric Control of mathematical proposition and proof to differ- This interdisciplinary book defines reachability in Mechanical Systems entiation, integration and more. Includes Stokes the stochastic framework, covering such concepts theorem and such applications as Brouwer’s fixed as stochastic reachability based on Markov process Modeling, Analysis, and Design for Simple point theorem, and the Dirichlet principle for theory; martingale methods; stochastic reachabil- Mechanical Control Systems harmonic functions. ity as an optimal stopping problem and dynamic programming. The area of analysis and control of mechanical systems using differential geometry is flourish- 1st ed. 1996. Corr. 3rd printing 2001. XIV, 335 p. ing. This book collects many results over the last (Undergraduate Texts in Mathematics) Hardcover 2012. XVIII, 250 p. (Communications and Control decade and provides a comprehensive introduc- ISBN 978-0-387-94614-6 Engineering) Hardcover ISBN 978-1-4471-2794-9 tion to the area. 7 $64.95 7 $129.00 Yellow Sale Price 2004. XXIV, 727 p. (Texts in Applied Mathematics, Yellow Sale Price 7 $39.99 Volume 49) Hardcover 7 $69.99 ISBN 978-0-387-22195-3 9
Z. Brzezniak, University Hull Dept. Mathematics, R. Bulajich Manfrino, Universidad Autónoma del D. Bump, Stanford University Department of Hull, UK; T. Zastawniak Estado de Morelos, Cuernavaca, Mexico; J. A. Gómez Mathematics, Stanford, CA, USA Ortega, Universidad Nacional Autónoma de México Basic Stochastic Processes Facultad de Ciencias, México, Mexico; R. Valdez Lie Groups A Course Through Exercises Delgado, Universidad Autónoma del Estado de Going beyond the representation theory of com- Morelos, Cuernavaca, Mexico pact Lie groups, this book offers a carefully chosen This book has been designed for a final year range of material conveying the bigger picture. undergraduate course in stochastic processes. It Inequalities Covers Lie algebra, Weyl character formula, sym- will also be suitable for mathematics undergradu- A Mathematical Olympiad Approach metrical function theory, Satake diagrams, Sage ates and others with interest in probability and software and more. stochastic processes, who wish to study on their This book presents classical inequalities and own. The main prerequisite is probability theory: specific inequalities which are particularly useful 2nd ed. 2013. XIII, 551 p. 90 illus. (Graduate Texts probability measures, random variables, expec- for attacking and solving optimization problems. in Mathematics, Volume 225) Hardcover tation, independence, conditional probability, Most of the examples, exercises and problems ISBN 978-1-4614-8023-5 and the laws of large numbers. The only other originate from Mathematical Olympiad contests $89.99 prerequisite is calculus. This covers limits, series, around the world. 7 the notion of continuity, differentiation and the Yellow Sale Price Riemann integral. Familiarity with the Lebesgue 2009. 220p. Softcover 7 $59.99 integral would be a bonus. ISBN 978-3-0346-0049-1 7 $39.95 1st ed. 1999. Corr. 3rd printing 2000. X, 226 9
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M. Burger, University of Münster, Münster, Germany; F. Cakoni, D. Colton, University of Delaware Dept. F. Campolongo, H. Jönsson, European Commission A. C. Mennucci, Scuola Normale Superiore, Pisa, Mathematical Science, Newark, DE, USA Joint Research Centre, Ispra, Italy; W. Schoutens, Italy; S. Osher, University of California, Los Angeles, K.U. Leuven Department of Mathematics, Leuven, CA, USA; M. Rumpf, University of Bonn, Bonn, Qualitative Methods in Inverse Belgium Germany Scattering Theory Quantitative Assessment of Level Set and PDE Based An Introduction Securitisation Deals Reconstruction Methods in Inverse scattering theory has been a particularly The book draws on current research on model active and successful field in applied mathematics Imaging risk and parameter sensitivity of securitisation rat- and engineering for the past twenty years. The in- ings. It provides practical ideas and tools that can Cetraro, Italy 2008, Editors: Martin Burger, creasing demands of imaging and target identifica- facilitate a more informed usage of securitisation Stanley Osher tion require new powerful and flexible techniques ratings. We show how global sensitivity analysis besides the existing weak scattering approximation techniques can be used to better analyse and to This book takes readers on a tour through modern or nonlinear optimization methods. One class of enhance the understanding of the uncertainties methods in image analysis and reconstruction such methods comes under the general descrip- inherent in ratings due to uncertainty in the input based on level set and PDE techniques, the major tion of qualitative methods in inverse scattering parameters. The text introduces a novel global focus being on morphological and geometric theory. This textbook is an easily-accessible “class- rating approach that takes the uncertainty in the structures in images. tested” introduction to the field. ratings into account when assigning ratings to 2013. VII, 319 p. 88 illus., 40 illus. in color. (Lecture securitisation products. Notes in Mathematics / C.I.M.E. Foundation 2006. VIII, 227 p. 14 illus. (Interaction of Subseries, Volume 2090) Softcover Mechanics and Mathematics) Softcover 2013. XXI, 112 p. 32 illus., 28 illus. in color. ISBN 978-3-319-01711-2 ISBN 978-3-540-28844-2 (SpringerBriefs in Finance) Softcover 7 $59.99 7 $109.00 ISBN 978-3-642-29720-5 7 $49.95 Yellow Sale Price Yellow Sale Price 7 $39.99 7 $59.99 Yellow Sale Price 9
P. Bürgisser, Technical University of Berlin Institute P. J. Cameron A. Cannas da Silva of Mathematics, Berlin, Germany; F. Cucker, City University of Hong Kong Department of Sets, Logic and Categories Lectures on Symplectic Mathematics, Hong Kong, Hong Kong SAR Set theory, logic and category theory lie at the Geometry foundations of mathematics, and have a dramatic Condition These notes approximately transcribe a 15-week effect on the mathematics that we do, through course on symplectic geometry I taught at UC The Geometry of Numerical Algorithms the Axiom of Choice, Gödel’s Theorem, and the Berkeley in the Fall of 1997. The course at Berkeley Skolem Paradox. But they are also rich math- This book deals with condition as a main aspect was greatly inspired in content and style by Victor ematical theories in their own right, contributing in the understanding of the performance—regard- Guillemin, whose masterly teaching of beautiful techniques and results to working mathematicians ing both stability and complexity—of numerical courses on topics related to s- plectic geometry at such as the Compactness Theorem and module algorithms. It offers partial solutions for Smale’s MIT, I was lucky enough to experience as a gradu- categories. The book is aimed at those who know 17th problem. ate student. I am very thankful to him! That course some mathematics and want to know more about also borrowed from the 1997 Park City summer its building blocks. Set theory is first treated 2013. XXXI, 554 p. 32 illus. (Grundlehren der courses on symplectic geometry and topology, and naively an axiomatic treatment is given after the mathematischen Wissenschaften, Volume 349) from many talks and discussions of the symplectic basics of first-order logic have been introduced. Hardcover geometry group at MIT. ISBN 978-3-642-38895-8 The discussion is su pported by a wide range of 7 $149.00 exercises. The final chapter touches on philosophi- 1st Corrected ed. 2001. Corr. 2nd printing 2008. XII, cal issues. 220 p. (Lecture Notes in Mathematics, Volume 1764) Yellow Sale Price Softcover 7 $89.99 1998. X, 182 pp. (Springer Undergraduate ISBN 978-3-540-42195-5 Mathematics Series) Softcover 7 $69.95 9
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J. Cederberg C. Chicone, University of Missouri, Columbia Dept. A. J. Chorin, University of California, Berkeley A Course in Modern Geometries Mathematics, Columbia, MO, USA Dept. Mathematics, Berkeley, CA, USA; O. H. Hald, Ordinary Differential Equations Department of Mathematics University of California Designed for a junior-senior level course for at Berkeley, Berkeley, CA, USA mathematics majors, including those who plan with Applications Stochastic Tools in Mathematics to teach in secondary school. The first chapter Developed over 20 years of course instruction, presents several finite geometries in an axiomatic and Science this book links ordinary differential equations framework, while Chapter 2 continues the syn- with advanced mathematical topics such as dif- This book covers basic stochastic tools used in thetic approach in introducing both Euclids and ferential geometry, Lie group theory, analysis in physics, chemistry, engineering and the life sci- ideas of non-Euclidean geometry. There follows a infinite-dimensional spaces and abstract algebra. ences. Each chapter is followed by exercises. The new introduction to symmetry and hands-on ex- Application is interwoven with theory throughout book will be useful for scientists and engineers plorations of isometries that precedes an extensive the text. This revised edition includes considerable working in a wide range of fields and applications. analytic treatment of similarities and affinities. new material; the impressive array of exercises has been more than doubled in size and enhanced in 3rd ed. 2013. XI, 200 p. 13 illus., 1 illus. in 2nd ed. 2001. Corr. 2nd printing 2004. XX, 442 p. scope. color. (Texts in Applied Mathematics, Volume 58) (Undergraduate Texts in Mathematics) Hardcover Hardcover ISBN 978-0-387-98972-3 2nd ed. 2006. XIX, 636 p. (Texts in Applied ISBN 978-1-4614-6979-7 7 $64.95 Mathematics, Volume 34) Hardcover 7 $69.95 Yellow Sale Price ISBN 978-0-387-30769-5 Yellow Sale Price 7 $39.99 7 $74.95 7 $49.99 Yellow Sale Price 9
M. Chein, M.‑L. Mugnier, Université Montpellier L. N. Childs, State University New York, Albany Dept. F. Clarke, Université Claude Bernard Lyon 1 Institut II Labo. d’Informatique, de Robotique et de, Mathematics, Albany, NY, USA Camille Jordan, Villeurbanne, France Montpellier CX 05, France A Concrete Introduction to Functional Analysis, Calculus of Graph-based Knowledge Higher Algebra Variations and Optimal Control Representation This book is an informal and readable introduc- This book provides a thorough introduction to op- Computational Foundations of Conceptual tion to higher algebra at the post-calculus level. timal control, offering many substantial examples, Graphs The concepts of ring and field are introduced and more than 300 exercises covering viscosity through study of the familiar examples of the solutions, nonsmooth Lagrangians, the logarith- In addressing the question of how far it is possible integers and polynomials. Over 900 exercises are mic Sobolev inequality, periodic trajectories, and to go in knowledge representation and reasoning found throughout the book. systems theory. through graphs, the authors cover basic concep- tual graphs, computational aspects, and kernel 3rd ed. 2009. XIV, 604 p. (Undergraduate Texts in 2013. XIV, 594 p. (Graduate Texts in Mathematics, extensions. The basic mathematical notions are Mathematics) Hardcover Volume 264) Hardcover summarized. ISBN 978-0-387-74527-5 ISBN 978-1-4471-4819-7 2009. XIV, 428 p. (Advanced Information and 7 $69.95 7 $89.95 Knowledge Processing) Hardcover Yellow Sale Price Yellow Sale Price ISBN 978-1-84800-285-2 7 $39.99 7 $59.99 7 $169.00 Yellow Sale Price 9
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D. L. Cohn, Suffolk University Dept. Mathematics & R. G. Cowell, Cass Business School Fac. Actuarial H. Coxeter Computer Science, Boston, MA, USA Science & Insurance, London, UK; P. Dawid, Projective Geometry Measure Theory University Cambridge Ctr. Mathematical Statistics, Cambridge, UK; S. L. Lauritzen, Aalborg Universitet In Euclidean geometry, constructions are made Second Edition Inst. Electronic Systems, Aalborg, Denmark; with ruler and compass. Projective geometry is D. J. Spiegelhalter, University Cambridge Ctr. simpler: its constructions require only a ruler. In In its new, updated edition, this book discusses Mathematical Statistics, Cambridge, UK projective geometry one never measures anything, integration on locally compact Hausdorff spaces, instead, one relates one set of points to another by the analytic and Borel subsets of Polish spaces and Probabilistic Networks and a projectivity. The first two chapters of this book Haar measures on locally compact groups. In- Expert Systems introduce the important concepts of the subject cludes a chapter on measure-theoretic probability and provide the logical foundations. The third and theory and more. Exact Computational Methods for Bayesian Networks fourth chapters introduce the famous theorems of Desargues and Pappus. Chapters 5 and 6 make use 2nd ed. 2013. XXI, 457 p. 7 illus. (Birkhäuser The work reviewed in this book represents the of projectivities on a line and plane, repectively. Advanced Texts Basler Lehrbücher) Hardcover synthesis of two important developments in The next three chapters develop a self-contained ISBN 978-1-4614-6955-1 modelling of complex stochastic phenomena. The account of von Staudt’s approach to the theory 7 $79.95 book gives a thorough and rigorous mathematical of conics. The modern approach used in that Yellow Sale Price treatment of the underlying ideas, structures, and development is exploited in Chapter 10, which deals with the simplest finite geometry that is rich 7 $49.99 algorithms. enough to illustrate all the theorems nontrivially. 1st ed. 1999. Corr. 2nd printing 2003. XII, 324 p. 9
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Y. Collette, Chelles, France; P. Siarry, Université Paris- D. A. Cox, Amherst College, Amherst, MA, USA; R. Crandall, Center for Advanced Computation, Est Créteil Val de Marn, Créteil, France J. Little, College of the Holy Cross, Worcester, MA, Portland, OR, USA; C. B. Pomerance, Dartmouth USA; D. O’Shea, New College of Florida, Sarasota, College Dept. Mathematics, Hanover, NH, USA Multiobjective Optimization FL, USA Principles and Case Studies Prime Numbers Ideals, Varieties, and A Computational Perspective From whatever domain they come, engineers Algorithms are faced daily with optimization problems Bridges the gap between theoretical and computa- that requires conflicting objectives to be met. An Introduction to Computational Algebraic tional aspects of prime numbers Exercise sections This monograph systematically presents several Geometry and Commutative Algebra are a goldmine of interesting examples, pointers multiobjective optimization methods accompa- to the literature and potential research projects nied by many analytical examples. Each method This book details the heart and soul of modern Authors are well-known and highly-regarded in or definition is clarified, when possible, by an commutative and algebraic geometry. It covers the field illustration. Multiobjective Optimization treats not such topics as the Hilbert Basis Theorem, the only engineering problems, e.g in mechanics, but Nullstellensatz, invariant theory, projective geom- 2nd ed. 2005. XV, 597 p. Hardcover also problems arising in operations research and etry, and dimension theory. ISBN 978-0-387-25282-7 management. 7 $89.99 3rd ed. 2007. Corr. 3rd printing 2012. XV, 553 p. Yellow Sale Price 1st Corrected ed. 2004. Corr. 2nd printing 2004. (Undergraduate Texts in Mathematics) Hardcover 7 $49.99 IX, 293 p. (Decision Engineering) Hardcover ISBN 978-0-387-35650-1 ISBN 978-3-540-40182-7 7 $59.95 7 $119.00 9
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S. Crépey, Université d’Evry, France J. D. Cryer, K.‑S. Chan, University of Iowa Dept. Z. Cvetkovski, European University of the Republic Financial Modeling Statistics & Actuarial Science, Iowa City, IA, USA of Macedonia, Skopje, Macedonia A Backward Stochastic Differential Equations Time Series Analysis Inequalities Perspective With Applications in R Theorems, Techniques and Selected Problems This book examines financial modeling and This book presents an accessible approach to computational finance from a BSDE perspec- understanding time series models and their ap- This book covers inequalities, which play an im- tive, presenting a unified view of the pricing and plications. The ideas and methods are illustrated portant role in mathematical olympiads. The text hedging theory across all asset classes as well as a with both real and simulated data sets. A unique presents 150 solved problems as exercises and 308 review of quantitative finance tools. feature of this edition is its integration with the R additional solved problems, and reviews the most computing environment. important theorems and techniques required to 2013. XIX, 459 p. 13 illus. in color. With online solve inequalities. files/update. (Springer Finance / Springer Finance 2nd ed. 2008. Corr. 3rd printing, 2009. XIV, 491p. Textbooks) Hardcover (Springer Texts in Statistics) Hardcover 2012. X, 444p. Softcover ISBN 978-3-642-37112-7 ISBN 978-0-387-75958-6 ISBN 978-3-642-23791-1 $49.95 7 $79.95 7 $97.00 7
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M. D. Crossley, University of Wales Swansea D. Cunningham, Buffalo State College, Buffalo, NY, J. Cvitanic, EDHEC Business School, Nice Cedex 3, Department of Mathematics, Swansea, Wales, UK USA France; J. Zhang, University of Southern California Essential Topology A Logical Introduction to Proof Department of Mathematics, Los Angeles, CA, USA Contract Theory in Continuous- This book brings the most important aspects of This unique textbook uses a ‘logic-first’ approach modern topology within reach of a second-year to train and guide undergraduates through transi- Time Models undergraduate student. It successfully unites the tion courses bridging calculus and advanced There has been increased interest in continuous- most exciting aspects of modern topology with mathematics. It also offers a valuable introduction time Principal-Agent models and their ap- those that are most useful for research. The book to group theory and real analysis, including proof plications. This monograph surveys results of is ideal for self-study. strategies. the theory using the approach of the so-called Stochastic Maximum Principle, in models driven 1st ed. 2005. Corr. 4th printing 2011. X, 224p. 110 2013. XVI, 356 p. Hardcover by Brownian Motion. illus.. (Springer Undergraduate Mathematics Series) ISBN 978-1-4614-3630-0 Softcover 7 $59.95 2013. XII, 256 p. (Springer Finance) Hardcover ISBN 978-1-85233-782-7 ISBN 978-3-642-14199-7 Yellow Sale Price 7 $49.95 7 $79.95 7 $39.99 Yellow Sale Price Yellow Sale Price 7 $29.99 9
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U. Daepp, P. Gorkin, Bucknell University College Arts M. D. Davis M. de Longueville, Hochschule für Technik und and Science, Lewisburg, PA, USA The Math of Money Wirtschaft Berlin, Berlin, Germany Reading, Writing, and Proving Making Mathematical Sense of Your Personal A Course in Topological A Closer Look at Mathematics Finances Combinatorics
This book not only introduces proof techniques This book reflects one mathematician’s view of This undergraduate textbook in topological com- and other foundational principles of higher certain areas of economics and finance. It is not a binatorics covers such topics as fair division, graph mathematics, but also helps students develop the how-to book, it is not exhaustive or rigorous, and coloring problems, evasiveness of graph proper- necessary abilities to read, write and prove using it comes with no guarantee of instant wealth. It ties, and embedding problems from discrete mathematical definitions, examples and theorems. tries to maximize the use of the reader’s imagina- geometry. Includes many figures and exercises. tion and minimize rote calculation. Although 2nd ed. 2011. XIV, 378 p. (Undergraduate Texts in some mathematical background is assumed, 2012. XII, 240 p. (Universitext) Hardcover Mathematics) Hardcover ordinary high school algebra will usually suffice. ISBN 978-1-4419-7909-4 ISBN 978-1-4419-9478-3 Whenever possible, a verbal rather than a math- 7 $69.95 7 $74.95 ematical explanation is given, but where formulas serve a useful purpose they are introduced without Yellow Sale Price Yellow Sale Price derivation or apology. 7 $49.99 7 $49.99 2001. V, 199 p. Hardcover 9
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J. P. D’Angelo, University of Illinois, Urbana- D. Dawson, Carleton University School of M. Deaton, J. J. Winebrake Champaign, Urbana, IL, USA Mathematics & Statistics, Ottawa, ON, Canada; Dynamic Modeling of Hermitian Analysis E. Perkins, University of British Columbia, Vancouver, Canada Environmental Systems From Fourier Series to Cauchy-Riemann Superprocesses at Saint-Flour Geometry A primer on modeling concepts and applications that is specifically geared toward the environmen- Founded in 1971, the Saint-Flour Probability tal field. Sections on modeling terminology, the This integrated book begins by discussing Fourier Summer School is organised every year by the uses of models, the model-building process, and series, Hilbert spaces and the Fourier transform mathematics department of the Université Blaise the interpretation of output provide the founda- on the real line, and then turns to the heart of the Pascal at Clermont-Ferrand, France, and held tion for detailed applications. After an introduc- text, geometric considerations. The concept of in the pleasant surroundings of an 18th century tion to the basics of dynamic modeling, the book orthogonality weaves the material into a coherent seminary building in the city of Saint-Flour, leads students through an analysis of several whole. located in the French Massif Central, at an altitude environmental problems, including surface-water of 900 m. 2013. X, 203 p. 27 illus., 19 illus. in color. pollution, matter-cycling disruptions, and global (Cornerstones) Hardcover Only available in print warming. The scientific and technical context is ISBN 978-1-4614-8525-4 provided for each problem, and the methods for 7 $69.99 2012. 310 p. 1 illus. With Reprint of lectures originally analyzing and designing appropriate modeling published in the Lecture Notes in Mathematics approaches is provided. Yellow Sale Price volumes 1541 (1993) and 1781 (2002).. (Probability 7 $49.99 at Saint-Flour, Volume) Softcover 2000. XVI, 197 p. With online files/update. ISBN 978-3-642-25431-4 (Modeling Dynamic Systems) Hardcover 9
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A. Deitmar, Universität Tübingen Inst. Mathematik, P. Dembowski P. J. Denning (Ed) Tübingen, Germany Finite Geometries Talking Back to the Machine Automorphic Forms Reprint of the 1968 Edition Computers and Human Aspiration This book provides a concise introduction to the Introduction by: J. Burke Peter Dembowski was born in Berlin on April 1, world of automorphic forms using two approach- 1928. After studying mathematics at the Univer- es: the classic elementary theory and the modern sity of Frankfurt of Main, he pursued his graduate From the editors of the wildly successful Beyond point of view of adeles and representation theory. studies at Brown Unviersity and the University of Calculation comes another exploration of the Illinois, mainly with R. Baer. Dembowski returned overwhelming impact of computers on our future. 2012. IX, 252 p. 2 illus. (Universitext) Softcover to Frankfurt in 1956. Shortly before his premature This time, the essays focus on the human impact ISBN 978-1-4471-4434-2 death in January 1971, he had been appointed to of computer technology and culture: how comput- $69.95 7 a chair at the University of Tuebingen. Dem- ers will affect the ways we teach, learn, communi- cate, relate to each other, and live in the coming Yellow Sale Price bowski taught at the universities of Frankfurt and Tuebingen and - as visiting Professor - in London decades. The contributors, representing the best of 7 $39.99 (Queen Mary College), Rome, and Madison, WI. many fields, include Secretary of Defense William Dembowski’s chief research interest lay in the Perry on how computers will affect warfare; Brian 9
Ł. Delong, Warsaw School of Economics Institute of F. den Hollander, Universiteit Leiden Mathematisch R. A. DeVore, G. G. Lorentz Econometrics, Warsaw, Poland Instituut, Leiden, Netherlands; S. A. Molchanov, Constructive Approximation Backward Stochastic The University of North Carolina Department of Mathematics, Charlotte, NC, USA; O. Zeitouni, The present book deals with some basic problems Differential Equations with Weizmann Institute of Science Department of of Approximation Theory: with properties of poly- Jumps and Their Actuarial and Mathematics, Rehovot, Israel nomials and splines, with approximation by poly- Random Media at Saint-Flour mials, splines, linear operators. It also provides Financial Applications the necessary material ab out different function BSDEs with Jumps Molchanov, S.: Lectures on random media.- spaces. In some sense, this is a modern version Zeitouni, Ofer: Random walks in random of the corre sponding parts of the book of one This book will help make backward stochastic environment.-den Hollander, Frank: Random of us (Lorentz [A-1966]). We have tried to give a differential equations (BSDEs) more accessible polymers complete exposition of the main, basic theorems to those interested in applying these equations to of the theory, without going into too much detail, actuarial and financial problems. Only available in print treating the most general cases or discussing very special problems. There are essential limitations: 2012. VII, 564 p. (Probability at Saint-Flour) Softcover this is a book about approximation of functions of 2013. X, 288 p. (EAA Series) Softcover ISBN 978-3-642-32948-7 one real variable. ISBN 978-1-4471-5330-6 7 $69.95 7 $69.99 Only available in print Yellow Sale Price Yellow Sale Price 7 $39.99 1993. X, 452 p. (Grundlehren der mathematischen 7 $49.99 Wissenschaften, Volume 303) Hardcover 9
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A. Dold B. Dubrovin, A. Fomenko, Lomonosov Moscow P. Dyke State University Dept. Mathematics & Mechanics, Lectures on Algebraic Topology Moskva, Russia; S. Novikov, MIAN, Moscow GSP 1, An Introduction to Laplace Springer-Verlag began publishing books in higher Russia Transforms and Fourier Series mathematics in 1920, when the series Grundleh- Modern Geometry—Methods This book has been primarily written for the stu- ren der mathematischen Wissenschaften, initially dent of mathematics who is in the second year or conceived as a series of advanced textbooks, was and Applications the early part of the third year of an undergradu- founded by Richard Courant. A few years later, a Part III: Introduction to Homology Theory ate course. It will also be very useful for students new series Ergebnisse der Mathematik und Ihrer Transl. Russian: R. G. Burns, York University Dept. of engineering and the physical sciences for whom Grenzgebiete, survey reports of recent math- Mathematics & Statistics, Toronto, ON, Canada Laplace Transforms continue to be an extremely ematical research, was added. Of over 400 books useful tool. The book demands no more than an published in these series, many have become rec- elementary knowledge of calculus and linear alge- ognized classics and remain standard references Over the past fifteen years, the geometrical and bra of the type found in many first year mathemat- for their subject. Springer is reissueing a selected topological methods of the theory of manifolds ics modules for applied subjects. For mathematics few of these highly successful books in a new, have assumed a central role in the most advanced majors and specialists, it is not the mathematics inexpensive softcover edition to make them easily areas of pure and applied mathematics as well as that will be challenging but the applications to the accessible to younger generations of students and theoretical physics. real world. researchers. Only available in print 2nd ed. 1995. XII, 379 p. (Classics in Mathematics) 1st Corrected ed. 2001. Corr. 2nd printing 2000. Softcover 1990. X, 418 p. (Graduate Texts in Mathematics, XII, 250 p. (Springer Undergraduate Mathematics ISBN 978-3-540-58660-9 Volume 124) Hardcover Series) Softcover 7 $59.95 ISBN 978-0-387-97271-8 ISBN 978-1-85233-015-6 7 $95.00 7 $49.95 Yellow Sale Price 7 $39.99 Yellow Sale Price Yellow Sale Price 9
P. Drabek, University of West Bohemia Faculty of R. Durrett, Duke University Mathematics D. Eisenbud, Mathematical Sciences Research Applied Sciences, Plzeň, Czech Republic; J. Milota, Department, Durham, NC, USA; T. M. Liggett, Institute (MSRI), Berkeley, CA, USA; J. Harris Czech Technical University Faculty of Information University of California, Los Angeles Dept. Technology, Praha 6, Czech Republic Mathematics, Los Angeles, CA, USA; F. Spitzer, The Geometry of Schemes Methods of Nonlinear Analysis Cornell University, Ithaca, NY, USA; A.‑S. Sznitman, What schemes are The theory of schemes is the Zürich, Switzerland foundation for algebraic geometry for- lated by Applications to Differential Equations Interacting Particle Systems at Alexandre Grothendieck and his many cowork- ers. It is the basis for a grand unication of number This book introduces fundamental methods of Saint-Flour theory and algebraic geometry, dreamt of by num- nonlinear analysis, illustrating them in straight- ber theorists and geometers for over a century. It forward examples. The revised new edition offers Contents: Durrett, Rick: Ten lectures on particle has strengthened classical algebraic geometry by evolutionary equations and differential equations systems.- Liggett, T.M.: The stochastic evolution of allowing exible geometric arguments about inni- on manifolds, and presents more advanced mate- infinite systems of interacting particles.- Spitzer, tesimals and limits in a way that the classic theory rial in appendices. Frank L.:Introduction aux processus de Markov à could not handle. In both these ways it has made paramètre dans Z v possible astonishing solutions of many concrete 2nd ed. 2013. X, 649 p. 1 illus. in color. (Birkhäuser problems. On the number-theoretic side one may Advanced Texts Basler Lehrbücher) Hardcover Only available in print cite the proof of the Weil conjectures, Grothendi- ISBN 978-3-0348-0386-1 2012. VIII, 331 p. With Reprint of lectures originally eck’s original goal (Deligne [1974]) and the proof $89.95 7 published in the Lecture Notes in Mathematics of the Mordell Conjecture (Faltings [1984]). Yellow Sale Price volumes 1608 (1995), 1464 (1991), 589 (1977), and 390 (1974).. (Probability at Saint-Flour, Volume) 7 $59.99 2000. XII, 300 p. (Graduate Texts in Mathematics, Softcover Volume 197) Hardcover ISBN 978-3-642-25297-6 ISBN 978-0-387-98638-8 9
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M. Elad, Technion: Israel Institute of Technology The A. Engel B. S. Everitt Computer Science Department, Haifa, Israel Problem-Solving Strategies An R and S-Plus® Companion to Sparse and Redundant A unique collection of competition problems Multivariate Analysis Representations from over twenty major national and interna- Most data sets collected by researchers are multi- tional mathematical competitions for high school From Theory to Applications in Signal and variate, and in the majority of cases the variables students. Written for trainers and participants of Image Processing need to be examined simultaneously to get the contests of all levels up to the highest level, this most informative results. This requires the use of will appeal to high school teachers conducting a This book introduces sparse and redundant rep- one or other of the many methods of multivariate mathematics club who need a range of simple to resentations with a focus on applications in signal analysis, and the use of a suitable software pack- complex problems and to those instructors wish- and image processing. It details mathematical age such as S-PLUS or R. In this book the core ing to pose a “problem of the week”, thus bringing modeling for signal sources along with how to use multivariate methodology is covered along with a creative atmosphere into the classrooms. Equally, the model for tasks such as denoising, restoration some basic theory for each method described. The this is a must-have for individuals interested in and separation. necessary R and S-PLUS code is given for each solving difficult and challenging problems. Each analysis in the book, with any differences between chapter starts with typical examples illustrating 2010. XX, 376 p. Hardcover the two highlighted. ISBN 978-1-4419-7010-7 the central concepts and is followed by a number 7 $74.95 of carefully selected problems and their solutions. 1st ed. 2005. Corr. 2nd printing 2007. XIII, 221 p. Yellow Sale Price 1st ed. 1998. Corr. 2nd printing 1999. X, 403 p. (Springer Texts in Statistics) Hardcover ISBN 978-1-85233-882-4 7 $49.99 (Problem Books in Mathematics) Softcover ISBN 978-0-387-98219-9 7 $99.00 7 $129.00 9
J. A. Ellis-Monaghan, Saint Michael’s College Dept. K. Erdmann, University of Oxford Mathematical M. Fabian, Mathematical Institute of the Academy of Mathematics, Colchester, VT, USA; I. Moffatt, Institute, Oxford, UK; M. J. Wildon of, Prague, Czech Republic; P. Habala, Czech University of London Royal Holloway, Surrey, UK Introduction to Lie Algebras Technical University Praha Faculty of Electrical Graphs on Surfaces Engineering, Praha, Czech Republic; P. Hájek, Lie groups and Lie algebras have become essential Mathematical Institute of the Academy of, Prague, Dualities, Polynomials, and Knots to many parts of mathematics and theoreti- Czech Republic; V. Montesinos, Universidad cal physics, with Lie algebras a central object of Politecnica de Valencia, Valencia, Spain; V. Zizler, Graphs on Surfaces: Dualities, Polynomials, and interest in their own right. This book provides an University of Alberta, Edmonton, AB, Canada Knots offers an accessible and comprehensive elementary introduction to Lie algebras based on treatment of recent developments on generalized Banach Space Theory a lecture course given to fourth-year undergradu- duals of graphs on surfaces, and their applica- ates. The only prerequisite is some linear algebra The Basis for Linear and Nonlinear Analysis tions. The authors illustrate the interdependency and an appendix summarizes the main facts that between duality, medial graphs and knots; how This book introduces the reader to linear func- are needed. The treatment is kept as simple as pos- this interdependency is reflected in algebraic tional analysis and to related parts of infinite- sible with no attempt at full generality. Numerous invariants of graphs and knots; and how it can dimensional Banach space theory. Coverage worked examples and exercises are provided to be exploited to solve problems in graph and knot includes Radon-Nikodým property, finite-dimen- test understanding, along with more demanding theory. sional spaces and local theory on tensor products, problems, several of which have solutions. and more. 2013. XI, 139 p. 82 illus., 41 illus. in color. 1st ed. 2006, corrected 2nd printing. X, 251 p. 36 (SpringerBriefs in Mathematics) Softcover 2011. XIV, 822p. 40 illus.. (CMS Books in illus. (Springer Undergraduate Mathematics Series) ISBN 978-1-4614-6970-4 Mathematics) Hardcover Softcover 7 $49.95 ISBN 978-1-4419-7514-0 ISBN 978-1-84628-040-5 7 $129.00 Yellow Sale Price 7 $49.95 7 $29.99 Yellow Sale Price Yellow Sale Price 7 $69.99 9
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C. Fadiman (Ed) D. Filipovic, Ecole Polytechnique Fédérale de F. V. Fomin, University of Bergen Inst. Informatics, Fantasia Mathematica Lausanne, Lausanne, Switzerland Bergen, Norway; D. Kratsch, Université Paul Verlaine- Term-Structure Models Metz LITA, UFR MIM, Metz Cedex 01, France Clifton Fadiman’s classic collection of mathemati- Exact Exponential Algorithms cal stories, essays and anecdotes is now once again A Graduate Course available. Ranging from the poignant to the comi- Exact Exponential Algorithms provides an intro- This graduate textbook provides an introduction cal via the simply surreal, these selections include duction to the area and explains the most com- to the mathematics of term structure models in writing by Aldous Huxley, Martin Gardner, mon algorithmic techniques involved. Thorough continuous time. The focus is on a mathematically H.G. Wells, George Gamow, G.H. Hardy, Robert exercises are included, in addition to notes and straightforward but rigorous development of the Heinlein, Arthur C. Clarke, and many others. suggestions for further reading. theory. Humorous, mysterious, and always entertaining, this collection is sure to bring a smile to the faces 2010. XIV, 206 p. (Texts in Theoretical Computer 2009. XII, 256p. (Springer Finance / Springer of mathematicians and non-mathematicians alike. Science. An EATCS Series) Hardcover Finance Textbooks) Hardcover ISBN 978-3-642-16532-0 1st ed. 1958, 2nd printing 1997. XI, 298 p. Softcover ISBN 978-3-540-09726-6 7 $69.95 ISBN 978-0-387-94931-4 7 $59.95 7 $19.95 Yellow Sale Price Yellow Sale Price 7 $39.99 Yellow Sale Price 7 $29.99 9
T. G. Feeman, Villanova University Dept. W. Fokkink S. Foucart, Drexel University, Philadelphia, PA, Mathematical Sciences, Villanova, PA, USA Introduction to Process Algebra USA; H. Rauhut, RWTH Aachen University, Aachen, The Mathematics of Medical Germany Automated and semi-automated manipulation of A Mathematical Introduction to Imaging so-called labelled transition systems has become A Beginner’s Guide an important means in discovering flaws in soft- Compressive Sensing ware and hardware systems. Process algebra has At the intersection of mathematics, engineering, Medical imaging is a major part of twenty-first been developed to express such labelled transition and computer science sits the thriving field of century health care. This introduction explores systems algebraically, which enhances the ways of compressive sensing. Based on the premise that the mathematical aspects of imaging in medicine manipulation by means of equational logic and data acquisition and compression can be per- to explain approximation methods in addition to term rewriting. The theory of process algebra has formed simultaneously, compressive sensing finds computer implementation of inversion algorithms. developed rapidly over the last twenty years, and applications in imaging, signal processing, and verification tools have been developed on the basis many other domains. In the areas of applied math- 2010. XII, 141 p. (Springer Undergraduate Texts in of process algebra, often in cooperation with tech- ematics, electrical engineering, and theoretical Mathematics and Technology) Hardcover niques related to model checking. This textbook computer science, an explosion of research activity ISBN 978-0-387-92711-4 gives a thorough introduction into the basics of has already followed the theoretical results that $49.95 process algebra and its applications. 7 highlighted the efficiency of the basic principles. The elegant ideas behind these principles are also Yellow Sale Price 2000. VIII, 168 p. (Texts in Theoretical Computer of independent interest to pure mathematicians. 7 $29.99 Science. An EATCS Series) Hardcover ISBN 978-3-540-66579-3 2013. XVIII, 625 p. 13 illus. (Applied and 7 $89.95 9
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G. K. Francis, University of Illinois, Urbana- S. Frühwirth-Schnatter, Universität Linz Institut für P. M. Gadea, CSIC Instituto de Fisica Fundamental, Champaign Dept. Mathematics, Urbana, IL, USA Angewandte Statistik, Linz, Austria Madrid, Spain; J. Muñoz Masqué, CSIC Instituto de Seguridad, Madrid, Spain; I. V. Mykytyuk, A Topological Picturebook Finite Mixture and Markov Pedagogical University of Cracow Institute of Praise for George Francis’s A Topological Picture- Switching Models Mathematics, Cracow, Poland book: Bravo to Springer for reissuing this unique This book is the first to offer a systematic presenta- Analysis and Algebra on and beautiful book! It not only reminds the older tion of the Bayesian perspective of finite mix- generation of the pleasures of doing mathematics Differentiable Manifolds ture modeling, showing how finite mixture and by hand, but also shows the new generation what Markov switching models are formulated, what A Workbook for Students and Teachers ’’hands on’’ really means. - John Stillwell, Univer- structures they imply on the data, their potential sity of San Francisco The Topological Picturebook This new edition offers solved exercises on differ- uses, and how they are estimated. has taught a whole generation of mathematicians entiable manifolds, Lie groups, fibre bundles and to draw, to see, and to think. - Tony Robbin, artist 2006. XIX, 494 p. (Springer Series in Statistics) Riemannian manifolds. Includes exercises ranging and author of Shadows of Reality: The Fourth Hardcover from elementary computations to sophisticated Dimension in Relativity, Cubism, and Modern ISBN 978-0-387-32909-3 tools, and studies solved problems of differentiable Thought The classic reference for how to present 7 $179.00 manifolds. topological information visually, full of amazing hand-drawn pictures of complicated surfaces. Yellow Sale Price 2nd ed. 2013. XXVI, 618 p. (Problem Books in 7 $89.99 Mathematics) Hardcover 1st ed 1987. 2nd printing 2006. XV, 194 p. ISBN 978-94-007-5951-0 Softcover 9
E. Freitag, Universität Heidelberg Inst. Mathematik, O. Furdui, Technical University of Cluj-Napoca, Cluj- G. P. Galdi, University of Pittsburgh Dept. Mechanical Heidelberg, Germany; R. Kiehl Napoca, Romania Engineering, Pittsburgh, PA, USA Etale Cohomology and the Weil Limits, Series, and Fractional An Introduction to the Conjecture Part Integrals Mathematical Theory of the Introduction by: J. Dieudonne, Transl. German: Problems in Mathematical Analysis Navier-Stokes Equations B. S. Waterhouse, W. C. Waterhouse This book offers tools for solving problems spe- Steady-State Problems cializing in three topics of mathematical analysis: Some years ago a conference on l-adic cohomol- The book provides a comprehensive, detailed limits, series and fractional part integrals. Includes ogy in Oberwolfach was held with the aim of and self-contained treatment of the fundamen- a section of Quickies: problems which have had reaching an understanding of Deligne’s proof of tal mathematical properties of boundary-value uexpectedly succinct solutions, as well as Open the Weil conjec tures. For the convenience of the problems related to the Navier-Stokes equations. Problems. speakers the present authors - who were also the These properties include existence, uniqueness organisers of that meeting - prepared short notes and regularity of solutions in bounded as well as 2013. XVIII, 274 p. (Problem Books in containing the central definitions and ideas of the unbounded domains. Whenever the domain is Mathematics) Hardcover proofs. unbounded, the asymptotic behavior of solutions ISBN 978-1-4614-6761-8 is also investigated. Softcover reprint of the original 1st ed. 1988. 7 $69.95 XVIII, 320 p. (Ergebnisse der Mathematik und ihrer 2nd ed. 2011. XIV, 1018p. 4 illus.. (Springer Grenzgebiete. 3. Folge / A Series of Modern Surveys Yellow Sale Price Monographs in Mathematics) Hardcover in Mathematics, Volume 13) Softcover 7 $49.99 ISBN 978-0-387-09619-3 ISBN 978-3-662-02543-7 7 $149.00 7 $99.00 9
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J. Gallier, University of Pennsylvania, Philadelphia, M. Gardner B. Gärtner, ETH Zurich Institute of, Zurich, PA, USA; D. Xu, Bryn Mawr College, Bryn Mawr, PA, Switzerland; J. Matousek, Charles University Dept. USA The Last Recreations Applied Mathematics, Prague 1, Czech Republic A Guide to the Classification Hydras, Eggs, and Other Mathematical Approximation Algorithms and Mystifications Theorem for Compact Surfaces Semidefinite Programming Of all of Martin Gardners writings, none gained This book offers a detailed proof of the classifica- him a wider audience or was more central to his This introduction to aspects of semidefinite tion theorem for compact surfaces. It presents reputation than his Mathematical Recreations programming and its use in approximation algo- the technical tools needed to deploy the method column in Scientific American - which virtually rithms develops the basic theory of semidefinite effectively as well as demonstrates their use in a defined the genre of popular mathematics writing programming, presents one of the known efficient clearly structured, worked example. for a generation. Flatland, Hydras and Eggs: Math- algorithms in detail, and describes the principles ematical Mystifications is the final collection of of some others. 2013. XII, 178 p. 40 illus., 20 illus. in color. these columns, covering the period roughly from (Geometry and Computing, Volume 9) Hardcover 1979 to Gardners retirement in 1986. As always in 2012. XI, 251 p. Hardcover ISBN 978-3-642-34363-6 his published collections, Gardner includes letters ISBN 978-3-642-22014-2 7 $49.95 commenting on the ideas presented in his articles. 7 $59.95 These columns show him at the top of his form Yellow Sale Price and should not be missed by anyone with an inter- Yellow Sale Price 7 $39.99 est in mathematics. 7 $39.99 9
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S. Gallot, Grenoble, France; D. Hulin, Palaiseau, M. Gardner R. Gelca, Texas Tech University Dept. Mathematics & France; J. Lafontaine, Université Montpellier Dept. Statistics, Lubbock, TX, USA; T. Andreescu, University Mathématiques, Montpellier CX 05, France The Universe in a Handkerchief of Texas at Dallas Natural Sciences and Mathematics, Riemannian Geometry Lewis Carroll’s Mathematical Recreations, Richardson, TX, USA Games, Puzzles, and Word Plays Putnam and Beyond Many years have passed since the First edition. However, the encouragements of various readers This book contains scores of intriguing puzzles This book serves as a study guide for the Putnam and friends have persuaded us to write this third and paradoxes from Lewis Carroll, the author of Mathematics Competition and as a transition edition. During these years, Riemannian Geom- Alice in Wonderland, whose interests ranged from from high school problem-solving to university etry has undergone many dramatic developments. inventing new games like Arithmetical Croquet to level mathematical research. Putnam and Beyond Here is not the place to relate them. The reader important problems in symbolic logic and propo- fills the need for problem-based texts that specifi- can consult for instance the recent book [Br5]. of sitional calculus. Written by Carroll expert and cally target the Putnam exams. our “mentor” Marcel Berger. However,R- mannian well-known mathematics author Martin Gardner, this tour through Carroll’s inventions is both fun Geometry is not only a fascinating Field in itself. 2007. XVI, 798 p. Softcover and informative. It has proved to be a precious tool in other parts of ISBN 978-0-387-25765-5 mathematics. In this respect, we can quote the ma- 1996. X, 158 p. Hardcover 7 $69.95 jor breakthroughs in four-dimensional topology ISBN 978-0-387-94673-3 Yellow Sale Price which occurred in the eighties and the nineties of 7 $20.95 the last century (see for instance [L2]). These have 7 $39.99 been followed, quite recently, by a possibly suc- Yellow Sale Price cessful approach to the Poincaré conjecture. 7 $14.99 9
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M. Gendreau, École Polytechnique Montréal, I. I. Gikhman, A. V. Skorokhod I. I. Gikhman, A. V. Skorokhod Montreal, QC, Canada; J.‑Y. Potvin, Université de Montreal Dépt. Informatique et Recherche, Montreal, The Theory of Stochastic The Theory of Stochastic QC, Canada (Eds) Processes I Processes III Handbook of Metaheuristics Transl. Russian: S. Kotz, Silver Spring, MD, USA Translated by: S. Kotz, Silver Spring, MD, USA
Metaheuristics have grown into one of the most From the Reviews: “Gihman and Skorohod have This work presents the theory of stochastic pro- prominent areas of operations research. This done an excellent job of presenting the theory cesses in its present state of rich imperfection. It is update of a trailblazing volume examines the latest in its present state of rich imperfection.” D.W. more than an encyclopedic work. Some parts read developments in the field. Stroock in Bulletin of the American Mathemati- like a textbook, but others are more technical and 2nd ed. 2010. XX, 648 p. (International Series in cal Society, 1980 “To call this work encyclopedic contain relatively new results. Operations Research & Management Science, would not give an accurate picture of its content and style. Some parts read like a textbook, but oth- Reprint of the 1st ed. Berlin Heidelberg New York Volume 146) Hardcover 1979. (Classics in Mathematics) Softcover ISBN 978-1-4419-1663-1 ers are more technical and contain relatively new results. ... The exposition is robust and explicit, as ISBN 978-3-540-49940-4 7 $279.00 one has come to expect of the Russian tradition 7 $69.95 of mathematical writing. The set when completed Yellow Sale Price Yellow Sale Price will be an invaluable source of information and 7 $149.00 7 $39.99 reference in this ever-expanding field.” 9
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L. Gerstein, University of California, Santa Barbara, I. Gikhman, A. Skorokhod J. S. Golan, University of Haifa Dept. Math & Santa Barbara, CA, USA The Theory of Stochastic Computer Science, Haifa, Israel Introduction to Mathematical Processes II The Linear Algebra a Beginning Structures and Proofs Transl. Russian: S. Kotz, Silver Spring, MD, USA Graduate Student Ought to This updated and revised second edition is Know designed to help students advance from basic From the Reviews: “Gihman and Skorohod have Linear algebra is a living, active branch of math- calculus to higher-level linear and abstract algebra done an excellent job of presenting the theory in its ematics. This book helps advanced undergraduate and number theory. It introduces an array of present state of rich imperfection.” D.W. Stroock in or beginning graduate students to develop the fundamental structures and shows how to balance Bulletin of the American Mathematical Society, 1980 necessary theoretical and computational skills for intuition and rigor. “To call this work encyclopedic would not give an accurate picture of its content and style. Some parts advanced study in the subject. 2nd ed. 2012. XIII, 401 p. 133 illus. read like a textbook, but others are more technical 3rd ed. 2012. XI, 497p. 199 illus.. Softcover (Undergraduate Texts in Mathematics) Hardcover and contain relatively new results. ... The exposition ISBN 978-94-007-2635-2 ISBN 978-1-4614-4264-6 is robust and explicit, as one has come to expect of $69.95 7 $59.95 the Russian tradition of mathematical writing. The set when completed will be an invaluable source of Yellow Sale Price Yellow Sale Price information and reference in this ever-expanding 7 $49.99 7 $39.99 field” K.L. Chung in American Scientist, 1977 Reprint of the 1st ed. Berlin Heidelberg New York 9
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D. González-Sánchez, Intituto Tecnologico C. Graham, Centre de Mathématiques Appliquées J. Gray, The Open University, Milton Keynes, UK Autonomo de Mexico, Mexico City, Mexico; École Polytechnique, Palaiseau, France; D. Talay, O. Hernandez-Lerma, CINVESTAV-IPN, Mexico City, INRIA, Sophia Antipolis, France Worlds Out of Nothing Mexico Stochastic Simulation and A Course in the History of Geometry in the 19th Century Discrete–Time Stochastic Monte Carlo Methods Based on the latest historical research, Worlds Out Control and Dynamic Potential Mathematical Foundations of Stochastic of Nothing is the first book to provide a course on Games Simulation the history of geometry in the 19th century. Topics The Euler–Equation Approach include projective geometry, especially the concept In various scientific and industrial fields, stochas- of duality, non-Euclidean geometry, and more. There are several techniques to study noncoopera- tic simulations are taking on a new importance. This is due to the increasing power of comput- tive dynamic games, such as dynamic program- 2010. XXVI, 384 p. 71 illus. (Springer ers and practitioners’ aim to simulate more and ming and the maximum principle (also called Undergraduate Mathematics Series) Softcover more complex systems, and thus use random the Lagrange method). It turns out, however, that ISBN 978-0-85729-059-5 parameters as well as random noises to model the one way to characterize dynamic potential games 7 $49.95 requires to analyze inverse optimal control parametric uncertainties and the lack of knowl- problems, and it is here where the Euler equation edge on the physics of these systems. The error Yellow Sale Price approach comes in because it is particularly well– analysis of these computations is a highly complex 7 $29.99 suited to solve inverse problems. mathematical undertaking. 9
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F. Gouvea, Colby College Dept. Mathematics, H. Grauert, Göttingen, Germany; R. Remmert, P. Griffiths, Princeton University Institute for Waterville, ME, USA Diakonie Wohnstift am Westerberg, Osnabrück, Advanced Study, Princeton, NJ, USA; J. Morgan, p-adic Numbers Germany Stonybrook University, Stonybrook, NY, USA An Introduction Theory of Stein Spaces Rational Homotopy Theory and Translated by: A. Huckleberry Differential Forms In the course of their undergraduate careers, most mathematics majors see little beyond “standard From the reviews: “Theory of Stein Spaces This completely revised and corrected version of mathematics:” basic real and complex analysis, provides a rich variety of methods, results, and the well-known Florence notes circulated by the ab stract algebra, some differential geometry, etc. motivations - a book with masterful mathematical authors together with E. Friedlander examines There are few adventures in other territories, and care and judgement. It is a pleasure to have this basic topology, emphasizing homotopy theory. few opportunities to visit some of the more exotic fundamental material now readily accessible to Included is a discussion of Postnikov towers and cor ners of mathematics. The goal of this book is any serious mathematician.” J. Eells in Bulletin of rational homotopy theory. This is then followed to offer such an opportunity, by way of a visit to the London Mathematical Society (1980) “Written by an in-depth look at differential forms and de the p-adic universe. Such a visit offers a glimpse by two mathematicians who played a crucial role Tham’s theorem on simplicial complexes. In addi- of a part of mathematics which is both important in the development of the modern theory of sev- tion, Sullivan’s results on computing the rational and fun, and which also is something of a meeting eral complex variables, this is an important book.” homotopy type from forms is presented. point between algebra and analysis. J.B. Cooper in Internationale Mathematische 2nd ed. 2013. XI, 227 p. 46 illus. (Progress in Nachrichten (1979) Mathematics, Volume 16) Hardcover 2nd ed. 1997. Corr. 3rd printing 2003. VI, 306 p. 1 illus. in color. (Universitext) Softcover Reprint of the 1st ed. New York 1979. XXII, 254 p. 5 ISBN 978-1-4614-8467-7 ISBN 978-3-540-62911-5 illus. (Classics in Mathematics) Softcover 7 $109.00 $49.95 ISBN 978-3-540-00373-1 7 Yellow Sale Price 7 $69.95 Yellow Sale Price 7 $79.99 7 $29.99 Yellow Sale Price 7 $39.99 9
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E. Grigorieva, Texas Woman’s University, Denton, P. Grinfeld, Drexel University, Philadelphia, USA G. Grubb, University of Copenhagen Inst. USA Introduction to Tensor Analysis Mathematics, Koebenhavn, Denmark Methods of Solving Complex and the Calculus of Moving Distributions and Operators Geometry Problems Surfaces This book gives an introduction to distribution theory, based on the work of Schwartz and of Containing over 160 complex problems with hints This introduction to tensor calculus features over many other people. It is the first book to pres- and detailed solutions, this book can be used as a 150 exercises. It uses an informal approach, focus- ent distribution theory as a standard text. Each self-study guide for mathematics competitions and es on concrete objects, and appeals to the reader’s chapter has been enhanced with many exercises for improving problem-solving skills in courses on intuition with regard to fundamental concepts, and examples. plane geometry or the history of mathematics. such as the Euclidean space, surface, and length. 2009. XII, 464 p. (Graduate Texts in Mathematics, 2013. XVI, 234 p. 201 illus., 191 illus. in color. 2013. XIII, 302 p. 37 illus., 4 illus. in color. Volume 252) Hardcover Hardcover Hardcover ISBN 978-0-387-84894-5 ISBN 978-3-319-00704-5 ISBN 978-1-4614-7866-9 $69.95 7 $49.99 7 $69.99 Yellow Sale Price Yellow Sale Price Yellow Sale Price 7 $39.99 7 $39.99 9
G. R. Grimmett, University of Cambridge Centre for H.‑D. Gronau, Universität Rostock, Rostock, A. Gut, Uppsala University Dept. Mathematics, Math. Science, Cambridge, UK; H. Kesten, Cornell Germany; H.‑H. Langmann, Bildung & Begabung Uppsala, Sweden University Department of Mathematics, Ithaca, NY, e.V., Bonn, Germany; D. Schleicher, Jacobs University USA Research I, Bremen, Germany (Eds) An Intermediate Course in Percolation Theory at Saint- 50th IMO - 50 Years of Probability Flour International Mathematical This book covers the basic results and methods in probability theory. This new edition offers updated Grimmett, Geoffrey: Percolation and disordered Olympiads content, 100 additional problems for solution, systems.- Kesten, Harry: Aspects of first passage and a new chapter glimpsing further topics such This impressive book is a report about the 50th percolation. as stable distributions, domains of attraction and IMO as well as the IMO history. A lot of data martingales. Only available in print about all the 50 IMOs are included. The book lists the most successful contestants, the results of the 2nd ed. 2009. XV, 303 p. (Springer Texts in 2012. XXVII, 303 p. (Probability at Saint-Flour) 50 Olympiads and the 112 countries that have ever Statistics) Hardcover Softcover taken part. ISBN 978-3-642-32508-3 ISBN 978-1-4419-0161-3 $89.95 7 $49.95 2011. XIII, 297 p. Softcover 7 ISBN 978-3-642-14564-3 Yellow Sale Price Yellow Sale Price 7 $29.95 $59.99 7 $29.99 7 Yellow Sale Price 7 $19.99 9
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J. Haigh, University of Sussex Mathematics Dept, F. E. Harrell, Vanderbilt University School of S. Harris Brighton, UK Medicine, Nashville, TN, USA Einstein Atomized Probability Models Regression Modeling Strategies More Science Cartoons This book describes how to set up and analyze With Applications to Linear Models, Logistic For over twenty-five years, Sidney Harris has been models of real-life phenomena that involve ele- Regression, and Survival Analysis recognized as the leading cartoonist specializing ments of chance. Includes many worked examples in the world of modern science and technology. and exercises. Many texts are excellent sources of knowledge about individual statistical tools, but the art of Whether he is poking gentle fun at Einstein or data analysis is about choosing and using multiple theoretical mathematicians, his drawings are 2nd ed. 2013. XII, 287 p. 17 illus. (Springer tools. Instead of presenting isolated techniques, entertaining, clever, and always right on target for Undergraduate Mathematics Series) Softcover this text emphasizes problem solving strategies his chosen subjects. ISBN 978-1-4471-5342-9 that address the many issues arising when devel- 7 $49.99 1996. 154 S. Softcover oping multivariable models using real data and ISBN 978-0-387-94665-8 Yellow Sale Price not standard textbook examples. 7 $14.00 7 $29.99 1st ed. 2001. Corr. 2nd printing 2006. XXIV, 572 p. Yellow Sale Price 9
E. Hairer, Université de Genève Dept. de J. Harris, Furman University Dept. Mathematics, H. Hasse Mathématiques, Genève 24, Switzerland; G. Wanner, Greenville, SC, USA; J. L. Hirst, Appalachian State Université de Genève Section de mathématiques, University Mathematical Sciences, Boone, NC, USA; Number Theory Genève 4, Switzerland M. Mossinghoff, Davidson College Department of Translated by: H. Zimmer Analysis by Its History Mathematics, Davidson, NC, USA Combinatorics and Graph From the reviews: “...a fine book ... treats algebraic This book presents first-year calculus roughly in number theory from the valuation-theoretic view- the order in which it was first discovered. The text Theory point. When it appeared in 1949 it was a pioneer. Now is complemented by a large number of examples, there are plenty of competing accounts. But Hasse has The second edition of this text on combinatorics calculations and mathematical pictures and will something extra to offer. This is not surprising, for and graph theory includes new material on an provide stimulating and enjoyable reading. it was he who inaugurated the local-global principle array topics ranging from Eulerian trails to com- (universally called the Hasse principle). This doctrine binatorial geometry to the pigeonhole principle. 1st Corrected ed. 1996. Corr. 3rd printing 2000. asserts that one should first study a problem in alge- There are also numerous new exercises throughout X, 382 p. (Undergraduate Texts in Mathematics / braic number theory locally, that is, at the completion the book. Readings in Mathematics) Hardcover of a vaulation. Then ask for a miracle: that global ISBN 978-0-387-94551-4 validity is equivalent to local validity. Hasse proved 2nd ed. 2008. XV, 381p. (Undergraduate Texts in 7 $74.95 that miracles do happen in his five beautiful papers Mathematics) Hardcover on quadratic forms of 1923-1924. ... The exposition is Yellow Sale Price ISBN 978-0-387-79710-6 discursive. ... It is trite but true: Every number-theorist 7 $39.99 7 $54.95 should have this book on his or her shelf.” Yellow Sale Price Reprint of the 1st ed. Berlin Heidelberg New York 9
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D. M. Hawkins, D. H. Olwell, Naval Postgraduate N. Herrmann, Institut für Angewandte Mathematik, N. Hilber, Zurich University of Applied Sciences School Dept. Systems Engineering, Monterey, CA, Hannover, Germany School of Management and Law, Winterthur, USA The Beauty of Everyday Switzerland; O. Reichmann, C. Schwab, Swiss Cumulative Sum Charts Federal Inst. of Technology (ETH) Seminar for Mathematics Applied Mathematics, Zurich, Switzerland; C. Winter, and Charting for Quality Allianz Deutschland AG, Munich, Germany This entertaining volume on the ubiquity of math- Improvement ematical principles in everyday life is packed with Computational Methods for anecdotes, formulae, calculations and conjuring Covering CUSUMs from an application-oriented Quantitative Finance tricksss that explain phenomena such as the fact viewpoint, while also providing the essential theo- that mirrors ‘swap’ left and right, but not up and Finite Element Methods for Derivative Pricing retical underpinning, this is an accessible guide down. for anyone with a basic statistical training. The This book introduces algorithms for fast, ac- text is aimed at quality practitioners, teachers and 2012. XIII, 138 p. 35 illus. Softcover curate pricing of derivative contracts. These are students of quality methodologies, and people in- ISBN 978-3-642-22103-3 developed in classical Black-Scholes markets, and terested in analysis of time-ordered data. Further 7 $19.95 extended to models based on multiscale stochastic support is available from a Web site containing volatility, to Lévy, additive and classes of Feller CUSUM software and data sets. Yellow Sale Price processes. 7 $14.99 1998. XVI, 247 p. (Information Science and Statistics) 2013. XIII, 299 p. 57 illus., 48 illus. in color. (Springer Hardcover Finance) Hardcover 9
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R. M. Heiberger, Temple University Dept. Statistics, H. Hida, University of California, Los Angeles A. Hinkis, Tel Aviv University The Cohn Institute for Philadelphia, PA, USA; E. Neuwirth, Universität Wien Department of Mathematics, Los Angeles, CA, USA the History, Tel Aviv, Israel Fakultät für Informatik, Wien, Austria Elliptic Curves and Arithmetic Proofs of the Cantor-Bernstein R Through Excel Invariants Theorem A Spreadsheet Interface for Statistics, Data A Mathematical Excursion Analysis, and Graphics This introduction to Shimura varieties covers key topics including non-triviality of arithmetic This ‘excursion’ through the evolution of research invariants and special values of L-functions; el- In this book, the authors build on RExcel, a free mathematics takes in some 40 papers, published liptic curves over complex and p-adic fields; Hecke add-in for Excel that can be downloaded from the up to the 1970s, on proofs of the Cantor-Bernstein algebras; elliptic and modular curves over rings R distribution network. RExcel seamlessly inte- theorem. It provides a detailed example of proof- and more. grates the entire set of R’s statistical and graphical processing in the derivation of Bernstein’s division methods into Excel. 2013. XVIII, 450 p. (Springer Monographs in theorem. Mathematics) Hardcover 2009. XXIV, 344 p. 300 illus. in color. (Use R!) 2013. XXIII, 429 p. 29 illus., 3 illus. in color. (Science ISBN 978-1-4614-6656-7 Softcover Networks. Historical Studies, Volume 45) Hardcover 7 $129.00 ISBN 978-1-4419-0051-7 ISBN 978-3-0348-0223-9 7 $64.95 Yellow Sale Price 7 $129.00 7 $79.99 Yellow Sale Price Yellow Sale Price 79
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A. M. Hinz, LMU München Faculty of Mathematics, P. D. Hoff, University of Washington Department of L. Hörmander, Lund, Sweden Computer Science, Munich, Germany; S. Klavžar, Statistics, Seattle, WA, USA Lectures on Nonlinear University of Ljubljana, Ljubljana, Slovenia; A First Course in Bayesian U. Milutinović, C. Petr, University of Maribor, Hyperbolic Differential Maribor, Slovenia Statistical Methods Equations The Tower of Hanoi – Myths and This compact, self-contained introduction to In this introductory textbook, a revised and the theory and application of Bayesian statistical Maths extended version of well-known lectures by L. methods is accessible to those with a basic famil- Hörmander from 1986, four chapters are devoted This book offers a comprehensive review of the iarity with probability, yet allows advanced readers to weak solutions of systems of conservation laws. mathematical theory of the solitaire game The to grasp the principles underlying Bayesian theory Apart from that the book only studies classical Tower of Hanoi, from its invention in 1883 by and method. solutions. Two chapters concern the existence of the number theorist Édouard Lucas to current global solutions or estimates of the lifespan for research in mathematics and applications in com- 1st ed. 2009. X, 272 p. (Springer Texts in Statistics) solutions of nonlinear perturbations of the wave puter science and psychology. Hardcover or Klein-Gordon equation with small initial data. ISBN 978-0-387-92299-7 2013. XV, 335 p. 133 illus., 60 illus. in color. Hardcover Four chapters are devoted to microanalysis of the 7 $69.95 ISBN 978-3-0348-0236-9 singularities of the solutions. 7 $44.95 Yellow Sale Price Only available in print 7 $49.99 Yellow Sale Price 7 $29.99 1997. VIII, 290 p. (Mathématiques et Applications, 9
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K. Hirst, University of Southampton School of A. Holme, University of Bergen Department of R. Horst, Trier, Germany; P. M. Pardalos, University of Mathematics, Southampton, UK Mathematics, Bergen, Norway Florida, Gainesville, FL, USA; Nguyen Van Thoai Calculus of One Variable A Royal Road to Algebraic Introduction to Global
Adopts a user-friendly approach, with an em- Geometry Optimization phasis on worked examples and exercises, rather Taking off from Euclid’s famous assertion to the In this edition, the scope and character of the than abstract theory The computer algebra and contrary, this book leads the reader on a clear path monograph did not change with respect to the first graphical package MAPLE is used to illustrate - a royal road - through the elements of modern edition. Taking into account the rapid develop- many of the ideas and provides an additional aid algebraic geometry from algebraic curves to the ment of the field, we have, however, consider- to teaching and learning Supplementary mate- present shape of the field to Grothendieck’s theory ably enlarged its contents. Chapter 4 includes rial, including detailed solutions to exercises and of schemes. two additional sections 4.4 and 4.6 on theory MAPLE worksheets, is available via the web and algorithms of D.C. Programming. Chapter 2012. XIV, 366 p. Hardcover 7, on Decomposition Algorithms in Nonconvex 2006. XII, 268 p. 72 illus. (Springer Undergraduate ISBN 978-3-642-19224-1 Optimization, is completely new. Besides this, Mathematics Series) Softcover $74.95 we added several exercises and corrected errors ISBN 978-1-85233-940-1 7 and misprints in the first edition. We are grateful $49.95 7 Yellow Sale Price for valuable suggestions and comments that we $49.99 Yellow Sale Price 7 received from several colleagues. R. Horst, P.M. $29.99 7 9
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J. M. Howie, University of St. Andrews School of J. M. Howie, University of St. Andrews School of H. Hult, F. Lindskog, Royal Institute of Technology, Mathematics & Statistics, St. Andrews, Fife, UK Mathematics & Statistics, St. Andrews, Fife, UK Stockholm, Sweden; O. Hammarlid, C. J. Rehn, E. Öhman J:or Fondkommission AB, Stockholm, Complex Analysis Real Analysis Sweden Complex analysis is one of the most attractive of Real Analysis is a comprehensive introduction Risk and Portfolio Analysis all the core topics in an undergraduate mathemat- to this core subject. It is ideal for self-study or ics course. Its importance to applications means as a course textbook for first and second-year Principles and Methods that it can be studied both from a very pure undergraduates. The book covers all the key topics This book offers principles and useful methods for perspective and a very applied perspective. This with fully worked examples and exercises with making investment and risk management deci- book takes account of these varying needs and solutions. sions in the presence of hedgeable and non-hedge- backgrounds and provides a self-study text for able risks using the simplest possible methods students in mathematics, science and engineering. 1st ed. 2001. Corr. 3rd printing 2006. X, 276 p. 13 and models that capture the essential features of illus. (Springer Undergraduate Mathematics Series) real-world problems. Softcover reprint of the original 1st ed. 2003. XI, Softcover 260 p. (Springer Undergraduate Mathematics Series) ISBN 978-1-85233-314-0 2012. XIV, 338 p. (Springer Series in Operations Softcover 7 $49.95 Research and Financial Engineering) Hardcover ISBN 978-1-85233-733-9 ISBN 978-1-4614-4102-1 7 $49.95 Yellow Sale Price 7 $29.99 7 $79.95 Yellow Sale Price Yellow Sale Price 7 $29.99 9
J. M. Howie, University of St. Andrews School of N. Hritonenko, Prairie View A&M University, E. Husserl, Dordrecht, Netherlands Mathematics & Statistics, St. Andrews, Fife, UK Houston, TX, USA; Y. Yatsenko, Houston Baptist Philosophy of Arithmetic Fields and Galois Theory University, Houston, TX, USA Mathematical Modeling in Psychological and Logical Investigations with A modern and student-friendly introduction to Supplementary Texts from 1887–1901 this popular subject: it takes a more “natural” Economics, Ecology and the Translated by: D. Willard, University of Southern approach and develops the theory at a gentle pace Environment California School of Philosophy, Los Angeles, CA, USA with an emphasis on clear explanations Features plenty of worked examples and exercises, complete With comprehensive treatment of applied math- In his first book, Philosophy of Arithmetic, with full solutions, to encourage independent ematical modeling in economics, population Edmund Husserl provides a carefully worked out study Previous books by Howie in the SUMS biology, and environmental science, this popular account of number as a categorial or formal fea- series have attracted excellent reviews publication has been updated to textbook format ture of the objective world, and of arithmetic as a for its second edition, which emphasizes control symbolic technique for mastering the infinite field 1st ed. 2005. Corr. 2nd printing 2007. X, 226 p. 22 and optimization. of numbers for knowledge. It is a realist account illus. (Springer Undergraduate Mathematics Series) of numbers and number relations that interweaves Softcover 2nd ed. 2013. XVII, 296 p. 34 illus., 8 illus. in color. them into the basic structure of the universe and ISBN 978-1-85233-986-9 (Springer Optimization and Its Applications, Volume into our knowledge of reality. 7 $49.95 88) Hardcover ISBN 978-1-4614-9310-5 2003. LXIV, 515 p. (Husserliana: Edmund Husserl – Yellow Sale Price 7 $79.99 Collected Works, Volume 10) Hardcover 7 $29.99 ISBN 978-1-4020-1546-5 Yellow Sale Price 7 $339.00 9
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R. Hyndman, Monash University Dept. Econometrics S. Iitaka A. J. Izenman, Temple University Fox School of &, Clayton, VIC, Australia; A. B. Koehler, Miami Business & Management, Philadelphia, PA, USA University Richard T. Farmer School of Business, Algebraic Geometry Oxford, OH, USA; J. K. Ord, Georgetown University An Introduction to Birational Geometry of Modern Multivariate Statistical McDonough School of Business, Washington, Algebraic Varieties Techniques DC, USA; R. D. Snyder, Monash University Dept. Regression, Classification, and Manifold Econometrics &, Clayton, VIC, Australia The aim of this book is to introduce the reader to the geometric theory of algebraic varieties, in par- Learning Forecasting with Exponential ticular to the birational geometry of algebraic va- This book details developments that have led to rieties. This volume grew out of the author’s book Smoothing the introduction of many innovative statistical in Japanese published in 3 volumes by Iwanami, The State Space Approach tools for high-dimensional data analysis. It takes Tokyo, in 1977. While writing this English version, a broad perspective, covering both linear and the author has tried to rearrange and rewrite the This book brings together all of the important new nonlinear methods. results on the state space framework for exponen- original material so that even beginners can read tial smoothing. It gives an overview of current top- it easily without referring to other books, such as textbooks on commutative algebra. 1st ed. 2008. Corr. 2nd printing 2013. XXV, 733 p. ics and develops new ideas that have not appeared (Springer Texts in Statistics) Hardcover in the academic literature. Only available in print ISBN 978-0-387-78188-4 7 $99.00 2008. XIII, 362 p. (Springer Series in Statistics) Softcover reprint of the original 1st ed. 1982. X, Softcover Yellow Sale Price 357 p. (Graduate Texts in Mathematics, Volume 76) ISBN 978-3-540-71916-8 7 $49.99 7 $99.00 Softcover ISBN 978-1-4613-8121-1 Yellow Sale Price 7 $99.00 9
A. Ibrahimbegovic, École Normale Superieure Lab. A. Inselberg, Tel Aviv University School of J. Jacod, Université Paris VI - Pierre et Marie Curie, Mecanique et Technologie, Cachan CX, France Mathematical Sciences, Tel Aviv, Israel Paris, Cedex 05, France; P. E. Protter, Columbia University Department of Statistics, New York, NY, Nonlinear Solid Mechanics Parallel Coordinates USA Theoretical Formulations and Finite Element Visual Multidimensional Geometry and Its Discretization of Processes Solution Methods Applications Using classic statistical tools, this book synthesizes This book offers a recipe for constructing the This book is about visualization, and systemati- ten years of research to establish a sohisticated numerical models for representing the complex cally incorporating the fantastic human pattern theory of how to go about estimating not just sca- nonlinear behavior of structures and their com- recognition into the problem-solving process. lar parameters of a proposed model, but also the ponents, represented as deformable solid bodies. Focusing on parallel coordinates, it contains underlying structure of the model itself. Its appeal extends to those interested in linear numerous exercises with solutions, course projects problems of mechanics. and research directions. 2012. XVI, 596 p. (Stochastic Modelling and Applied Probability, Volume 67) Hardcover 2009. XX, 574 p. (Solid Mechanics and Its 2009. XXVI, 554 p. Hardcover ISBN 978-3-642-24126-0 Applications, Volume 160) Hardcover ISBN 978-0-387-21507-5 7 $129.00 ISBN 978-90-481-2330-8 7 $79.95 7 $109.00 Yellow Sale Price Yellow Sale Price 7 $79.99 Yellow Sale Price 7 $49.99 7 $59.99 9
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K. Jänich J. Jost, Max Planck Institut für Mathematik in den P. Kall, University of Zürich Professor emeritus, Naturwissenschafte, Leipzig, Germany Zürich, Switzerland; J. Mayer, University of Zürich Topology Institute of Operations Research, Zürich, Switzerland Transl. German: S. Levy Riemannian Geometry and Geometric Analysis Stochastic Linear Programming Contents: Introduction. - Fundamental Concepts. Models, Theory, and Computation - Topological Vector Spaces.- The Quotient Topol- This established reference work continues to ogy. - Completion of Metric Spaces. - Homotopy. introduce its readers to some of the hottest topics Authored by two of the field’s most prominent - The Two Countability Axioms. - CW-Complexes. in contemporary mathematical research. This researchers, this new edition has been comprehen- - Construction of Continuous Functions on Topo- sixth edition includes, among other new additions, sively updated, with new material on contempo- logical Spaces. - Covering Spaces. - The Theorem a systematic treatment of eigenvalues of Rieman- rary models and methods including stochastic of Tychonoff. - Set Theory (by T. Br|cker). - Refer- nian manifolds. DEA models, material on Sharpe-ratio, and asset ences. - Table of Symbols. -Index. liability management. 6th ed. 2011. XIII, 611 p. 16 illus., 4 illus. in color. Only available in print (Universitext) Softcover 2nd ed. 2011. XX, 426 p. (International Series ISBN 978-3-642-21297-0 in Operations Research & Management Science, 1st ed. 1984. 2nd Corr. printing 1994. IX, 193 p. 7 $84.95 Volume 156) Hardcover (Undergraduate Texts in Mathematics) Hardcover ISBN 978-1-4419-7728-1 ISBN 978-0-387-90892-2 Yellow Sale Price 7 $109.00 7 $64.95 7 $49.99 Yellow Sale Price Yellow Sale Price 9
T. Jech, State College, PA, USA D. Jungnickel, University of Augsburg, Augsburg, R. P. Kanwal, Pennsylvania State University, Set Theory Germany University Park, PA, USA The Third Millennium Edition, revised and Graphs, Networks and Linear Integral Equations expanded Algorithms Theory & Technique
Set Theory has experienced a rapid development With updated material, additional exercises and This affordable reprint of a classic graduate in recent years, with major advances in forcing, new references, the new edition of this book textbook, originally published in 1971, places inner models, large cardinals and descriptive set retains the attributes praised by reviewers: its emphasis on applications to theoretical mechanics, theory. The present book covers each of these clear writing, good organisation, comprehensive mathematical physics, and applied mathematics areas, giving the reader an understanding of the coverage of essential theory and well-chosen ap- and presents a variety of techniques with extensive ideas involved. It can be used for introductory plications. examples. students and is broad and deep enough to bring the reader near the boundaries of current research. 4th ed. 2013. XX, 676 p. (Algorithms and 2nd ed. 2013. XIII, 318 p. 13 illus. (Modern Students and researchers in the field will find the Computation in Mathematics, Volume 5) Hardcover Birkhäuser Classics) Softcover book invaluable both as a study material and as a ISBN 978-3-642-32277-8 ISBN 978-1-4614-6011-4 desktop reference. 7 $89.95 7 $59.95
3rd rev. ed. Corr. 4th printing 2006. XIV, 772 p. Yellow Sale Price Yellow Sale Price (Springer Monographs in Mathematics) Hardcover 7 $59.99 7 $39.99 ISBN 978-3-540-44085-7 7 $219.00 9
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O. Karpenkov, The University of Liverpool Dept. of A. Khovanskii, University of Toronto, Toronto, ON, A. Kirillov, University of Pennsylvania, Philadelphia, Mathematical Sciences, Liverpool, UK Canada PA, USA Geometry of Continued Galois Theory, Coverings, and A Tale of Two Fractals
Fractions Riemann Surfaces Written by the celebrated mathematician and Transl. Russian: V. Timorin, V. Kiritchenko, National educator A.A. Kirillov, this book offers an original Traditionally a subject of number theory, con- Research University, Higher School of Economics, treatment of fractals that is accessible to beginners tinued fractions appear in dynamical systems, Moscow, Russia and sufficiently rigorous for serious mathemati- algebraic geometry, topology, and even celestial cians. Offers a solid foundation in the theory of mechanics. The rise of computational geometry fractals. has resulted in renewed interest in multidimen- This book offers a self-contained exposition of sional generalizations of continued fractions. classical Galois theory and its applications to of 2013. XIII, 138 p. 44 illus., 4 illus. in color. Numerous classical theorems have been extended solvability of algebraic equations, connects the Hardcover to the multidimensional case, casting light on theory with classification of coverings over a ISBN 978-0-8176-8381-8 phenomena in diverse areas of mathematics. topological space, introduces topological Galois $39.95 This book introduces a new geometric vision of theory and more. 7 continued fractions. It covers several applications Yellow Sale Price 2013. VIII, 81 p. Hardcover to questions related to such areas as Diophantine 7 $29.99 approximation, algebraic number theory, and toric ISBN 978-3-642-38840-8 geometry. 7 $49.99 9
C. Kassel, Univ. Louis Pasteur et CNRS Inst. Rech. A. J. King, IBM Corporation T.J. Watson Research I. Kleiner, York University Department of Math. Avancée, Strasbourg CX, France Center, Yorktown Heights, NY, USA; S. W. Wallace, Mathematics and Statistics, Toronto, ON, Canada Quantum Groups Lancaster University, Lancaster, UK A History of Abstract Algebra Modeling with Stochastic Eh bien, Monsieur, que pensez-vous des x et des This book explores the history of abstract algebra. y ?» Je lui ai repondu : C’est bas de plafond. » V. Programming It shows how abstract algebra has arisen in at- Hugo. The term “quantum groups” was popular- tempting to solve some of these classical problems, This book bridges theory and application of ized by Drinfeld in his address to the International providing a context from which the reader may stochastic programming in operations research. Congress of Mathematicians in Berkeley (1986). gain a deeper appreciation of the mathematics It describes various methods of formulating It stands for certain special Hopf algebras which involved. stochastic optimization problems, and illustrates are nontrivial deformations of the enveloping their advantages and disadvantages with examples Hopf algebras of semisimple Lie algebras or of the 2007. XVI, 168p. 24 illus.. Softcover and case studies. algebras of regular functions on the corresponding ISBN 978-0-8176-4684-4 algebraic groups. As was soon ob served, quantum 7 $49.95 groups have close connections with varied, a priori 2013. XVI, 176 p. (Springer Series in Operations remote, areas of mathematics and physics. Research and Financial Engineering) Hardcover Yellow Sale Price ISBN 978-0-387-87816-4 7 $29.99 7 $69.95 1995. XII, 534 p. (Graduate Texts in Mathematics, Volume 155) Hardcover Yellow Sale Price 9
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P. Kloeden, Goethe-Universität Frankfurt, Frankfurt A. W. Knapp, State University of New York Dept. J. Kollar am Main, Germany; C. Pötzsche, Alpen-Adria Mathematics, Stony Brook, NY, USA Rational Curves on Algebraic Universität Klagenfurt, Klagenfurt am Wörthersee, Basic Algebra Austria (Eds) Varieties Basic Algebra and Advanced Algebra systemati- Nonautonomous Dynamical The main applications are in the study of Fano va- cally develop concepts and tools in algebra that rieties and of related varieties with lots of rational Systems in the Life Sciences are vital to every mathematician, whether pure or curves on them. applied, aspiring or established. Together, the two Nonautonomous dynamics describes the qualita- books provide a global view of algebra and its role tive behavior of evolutionary differential and 1st ed. 1996. Corr. 2nd printing 1999. VIII, 321 p. in mathematics. difference equations, whose right-hand side is (Ergebnisse der Mathematik und ihrer Grenzgebiete. explicitly time dependent. Over recent years, the 3. Folge / A Series of Modern Surveys in 2006. XXII, 717 p. 42 illus. (Cornerstones) theory of such systems has developed into a highly Mathematics, Volume 32) Hardcover Hardcover active field related to, yet recognizably distinct ISBN 978-3-540-60168-5 ISBN 978-0-8176-3248-9 from that of classical autonomous dynamical 7 $229.00 $79.95 systems. This development was motivated by 7 Yellow Sale Price problems of applied mathematics, in particular in Yellow Sale Price 7 $109.00 the life sciences where genuinely nonautonomous 7 $49.99 systems abound. 9
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A. W. Knapp, State University of New York Dept. S. Kobayashi M. Koller, ETH Zürich, Zürich, Switzerland Mathematics, Stony Brook, NY, USA Transformation Groups in Stochastic Models in Life Advanced Algebra Differential Geometry Insurance Basic Algebra and Advanced Algebra systemati- Given a mathematical structure, one of the basic This book provides a mathematical basis for mod- cally develop concepts and tools in algebra that associated mathematical objects is its automor- eling life insurance policies using Markov chains, are vital to every mathematician, whether pure or phism group. The object of this book is to give applying basic concepts to concrete examples. applied, aspiring or established. Many examples a biased account of automorphism groups of Includes chapters on ALM and abstract valuation and hundreds of problems are included, along differential geometric struc tures. All geometric concepts on the background of Solvency II, plus with hints or complete solutions. structures are not created equal; some are cre- numerous examples. ations of ~ods while others are products of lesser 2008. XXIV, 730 p. (Cornerstones) Hardcover human minds. Amongst the former, Rieman- 2012. XI, 219p. 41 illus., 33 illus. in color. (EAA ISBN 978-0-8176-4522-9 nian and complex structures stand out for their Series) Softcover 7 $79.95 beauty and wealth. A major portion of this book is ISBN 978-3-642-28438-0 Yellow Sale Price therefore devoted to these two structures. Chapter 7 $69.95 7 $49.99 I describes a general theory of automorphisms of geometric structures with emphasis on the Yellow Sale Price question of when the automorphism group can be 7 $39.99 9
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D. A. Kopriva, Florida State University Dept. S. G. Krantz, Washington University in St. Louis, St. A. E. Kyprianou, University of Bath, Bath, UK Mathematics, Tallahassee, FL, USA Louis, MO, USA Gerber–Shiu Risk Theory Implementing Spectral Geometric Analysis of the Here is a modern review of the problem of ruin for Methods for Partial Differential Bergman Kernel and Metric the classical Cramér–Lundberg model and the sur- plus of an insurance company. Covers martingales Equations This text provides a systematic treatment of all the and path decompositions for analysing distribu- basic analytic and geometric aspects of Bergman’s Algorithms for Scientists and Engineers tion of the time of ruin, wealth prior to ruin and classic theory of the kernel and its invariance deficit at ruin. This book explains how to solve partial differential properties. Each chapter includes illustrative equations numerically using single and multido- examples and a collection of exercises. 2013. VIII, 93 p. 7 illus., 3 illus. in color. (EAA main spectral methods. It shows how only a few Series) Softcover fundamental algorithms form the building blocks 2013. XIII, 292 p. 7 illus. (Graduate Texts in ISBN 978-3-319-02302-1 of any spectral code, even for problems with com- Mathematics, Volume 268) Hardcover 7 $49.99 plex geometries. ISBN 978-1-4614-7923-9 7 $79.99 2009. (Scientific Computation) Hardcover Yellow Sale Price 7 $39.99 ISBN 978-90-481-2260-8 Yellow Sale Price 7 $119.00 7 $49.99 9
L. Koralov, University of Maryland Dept. E. Kunz, Universität Regensburg, Regensburg, S. Lang, Yale University Dept. Mathematics, New Mathematics, College Park, MD, USA; Y. G. Sinai, Germany Haven, CT, USA Princeton University Dept. Mathematics, Princeton, NJ, USA Introduction to Commutative Basic Mathematics Theory of Probability and Algebra and Algebraic This is a text in basic mathematics with multiple Geometry uses for either high school or college level courses. Random Processes Readers will get a firm foundation in basic Originally published in 1985, this classic textbook principles of mathematics which are necessary to The core of this book is a one-year course in prob- is an English translation of Einführung in die know in order to go ahead in calculus, linear al- ability theory and the theory of random processes, kommutative Algebra und algebraische Geomet- gebra or other topics. The subject matter is clearly taught at Princeton University. The book provides rie. It presents areas of commutative algebra that covered and the author develops concepts so the a comprehensive exposition of classical probability are best understood together. reader can see how one subject matter can relate theory and the theory of random processes. and grow into another. 2013. XIII, 238 p. (Modern Birkhäuser Classics) 2nd ed. 2007. Corr., 2nd printing 2012. XI, 358 p. Softcover Only available in print (Universitext) Softcover ISBN 978-1-4614-5986-6 ISBN 978-3-540-25484-3 7 $49.95 1st ed. 1988. Corr. 3rd printing. 1998. 496 p. 7 $49.95 Softcover Yellow Sale Price ISBN 978-0-387-96787-5 Yellow Sale Price 7 $39.99 7 $69.95 7 $29.99 Yellow Sale Price 9
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S. Lang, Yale University Dept. Mathematics, New S. Lang, Yale University Dept. Mathematics, New S. Lang, Yale University Dept. Mathematics, New Haven, CT, USA Haven, CT, USA Haven, CT, USA Complex Analysis Introduction to Linear Algebra Undergraduate Analysis
Now in its fourth edition, the first part of this This is a short text in linear algebra, intended for This is a logically self-contained introduction to book is devoted to the basic material of complex a one-term course. In the first chapter, Lang dis- analysis, suitable for students who have had two analysis, while the second covers many special cusses the relation between the geometry and the years of calculus. The book centers around those topics, such as the Riemann Mapping Theorem, algebra underlying the subject, and gives concrete properties that have to do with uniform conver- the gamma function, and analytic continuation. examples of the notions which appear later in the gence and uniform limits in the context of differ- Power series methods are used more systemati- book. He then starts with a discussion of linear entiation and integration. Topics discussed include cally than is found in other texts, and the resulting equations, matrices and Gaussian elimination, and the classical test for convergence of series, Fourier proofs often shed more light on the results than proceeds to discuss vector spaces, linear maps, series, polynomial approximation, the Poisson the standard proofs. While the first part is suitable scalar products, determinants, and eigenvalues. kernel, the construction of harmonic functions for an introductory course at undergraduate level, The book contains a large number of exercises, on the disc, ordinary differential equation, curve the additional topics covered in the second part some of the routine computational type, while integrals, derivatives in vector spaces, multiple give the instructor of a gradute course a great others are conceptual. integrals, and others. In this second edition, the deal of flexibility in structuring a more advanced author has added a new chapter on locally inte- course. 2nd Corrected ed. 1986. Corr. 5th printing 1997. grable vector fields, has rewritten many sections VIII, 293 p. (Undergraduate Texts in Mathematics) and expanded others. 4th ed. 1999. Corr. 3rd printing 2003. XIV, 489 Hardcover p. (Graduate Texts in Mathematics, Volume 103) ISBN 978-0-387-96205-4 2nd ed. 1997. Corr. 4th printing 2005. XV, 642 p. Hardcover 7 $74.95 (Undergraduate Texts in Mathematics) Hardcover ISBN 978-0-387-98592-3 ISBN 978-0-387-94841-6 7 $89.95 Yellow Sale Price 7 $79.95 7 $39.99 Yellow Sale Price Yellow Sale Price 7 $49.99 9
S. Lang, Yale University Dept. Mathematics, New S. Lang, Yale University Dept. Mathematics, New U. Langer, Universität Linz Inst. Numerische Haven, CT, USA; G. Murrow Haven, CT, USA Mathematik, Linz, Austria; P. Paule, Johannes Kepler Geometry Linear Algebra University, Linz, Austria (Eds) Numerical and Symbolic A High School Course Linear Algebra is intended for a one-term course at the junior or senior level. It begins with an Scientific Computing At last: geometry in an exemplary, accessible and exposition of the basic theory of vector spaces and attractive form! The authors emphasise both the Progress and Prospects proceeds to explain the fundamental structure intellectually stimulating parts of geometry and theorems for linear maps, including eigenvectors Focusing on linear partial differential equations, routine arguments or computations in concrete or and eigenvalues, quadric and hermitian forms, this volume presents a state-of-the-art overview classical cases, as well as practical and physical ap- diagonalization of symmetric, hermitian, and of numerical and symbolic scientific computing. plications. They also show students the fundamen- unitary linear maps and matrices, triangulation, Topics include solvers in elastoplasticity, symbolic tal concepts and the difference between important and Jordan canonical form. The book also includes analysis for boundary problems, symbolic treat- results and minor technical routines. Altogether, a useful chapter on convex sets and the finite-di- ment of operators, and more. the text presents a coherent high school curricu- mensional Krein-Milman theorem. The presen- lum for the geometry course, naturally backed by tation is aimed at the student who has already 2012. VIII, 358 p. 50 illus., 13 illus. in color. (Texts & numerous examples and exercises. had some exposure to the elementary theory of Monographs in Symbolic Computation) Softcover matrices, determinants, and linear maps. However, ISBN 978-3-7091-0793-5 2nd ed. 1988. Corr. 6th printing 2000. XII, 394 p. the book is logically self-contained. 7 $189.00 Hardcover ISBN 978-0-387-96654-0 Yellow Sale Price 3rd ed. 1987. Corr. 11th printing 2004. IX, 285 p. $59.95 7 $99.00 7 (Undergraduate Texts in Mathematics) Hardcover Yellow Sale Price ISBN 978-0-387-96412-6 7 $64.95 9
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M. G. Larson, F. Bengzon, Umeå University, Umea, J. Lee, University of Washington, Seattle, WA, USA S. Levendorskii Sweden Introduction to Topological Asymptotic Distribution of The Finite Element Method: Manifolds Eigenvalues of Differential Theory, Implementation, and Extensively revised and updated, this volume Operators Applications provides an introduction to manifolds at the One service mathematics has rendered the ‘Et moi, beginning graduate level. It contains the essential Introducing the finite element method as a general ... , si j’avait su comment en revenir, je n’y serais topological ideas involved with further study of computational method for solving partial dif- point alle.’ human race. It has put common sense manifolds, particularly in the context of differ- ferential equations approximately, this book goes back Jules Verne where it belongs, on the topmost ential geometry, algebraic topology, and related on to cover important applications including dif- shelf next to the dusty canister labelled ‘discarded fields. fusion and transport phenomena, solid and fluid n- sense’. The series is divergent; therefore we mechanics and more. may be able to do something with it. Eric T. Bell 2nd ed. 2011. XVII, 433 p. (Graduate Texts in O. Heaviside Mathematics is a tool for thought. Mathematics, Volume 202) Hardcover 2013. XVII, 385 p. 84 illus., 5 illus. in color. (Texts A highly necessary tool in a world where both ISBN 978-1-4419-7939-1 in Computational Science and Engineering, Volume feedback and non linearities abound. Similarly, all 7 $74.95 10) Hardcover kinds of parts of mathematics serve as tools for ISBN 978-3-642-33286-9 Yellow Sale Price other parts and for other sciences. 7 $79.95 $49.99 7 Only available in print Yellow Sale Price 1990. XVIII, 280 p. (Mathematics and its Applications, 7 $49.99 9
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G. Ledder, University of Nebraska-Lincoln, Lincoln, J. A. Lee, Université Catholique de Louvain, Leuven, R. J. LeVeque, University of Washington Dept. NE, USA Belgium; M. Verleysen, Université Catholique de Mathematics, Seattle, WA, USA Mathematics for the Life Louvain Labo. Microelectronique, Leuven, Belgium Numerical Methods for Sciences Nonlinear Dimensionality Conservation Laws Reduction Calculus, Modeling, Probability, and These notes developed from a course on the nu- Dynamical Systems This book reviews well-known methods for reduc- merical solution of conservation laws first taught ing the dimensionality of numerical databases at the University of Washington in the fall of 1988 This book provides present and future biologists as well as recent developments in nonlinear and then at ETH during the following spring. The with the mathematical concepts and tools needed dimensionality reduction. All are described from overall emphasis is on studying the mathematical to understand and use mathematical models and a unifying point of view, which highlights their tools that are essential in developing, analyzing, read advanced mathematical biology books. It respective strengths and shortcomings. and successfully using numerical methods for features many examples and exercises. nonlinear systems of conservation laws, par- 2007. XVII, 309 p. (Information Science and Statistics) ticularly for problems involving shock waves. A 2013. XX, 431 p. 109 illus. (Springer Hardcover reasonable understanding of the mathematical Undergraduate Texts in Mathematics and ISBN 978-0-387-39350-6 structure of these equations and their solutions is Technology) Hardcover 7 $149.00 first required, and Part I of these notes deals with ISBN 978-1-4614-7275-9 this theory. 7 $69.99 Yellow Sale Price 7 $79.99 Yellow Sale Price 2nd ed. 1992. Corr. 3rd printing 2008. XII, 220 p. 4 illus. (Lectures in Mathematics. ETH Zürich) Softcover 7 $49.99 9
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M. Li, University of Waterloo School of Computer A. Logg, Simula Research Laboratory, Lysaker, E. Lord, Bangalore, India Science, Waterloo, ON, Canada; P. M. Vitányi, Norway; K.‑A. Mardal, University of Oslo Simula Centrum voor Wiskunde en Informatica (CWI), Research Laboratory, Lysaker, Norway; G. Wells, Symmetry and Pattern in Amsterdam, Netherlands University of Cambridge, Cambridge, UK (Eds) Projective Geometry
An Introduction to Kolmogorov Automated Solution of This inclusive study of projective geometry covers Complexity and Its Applications Differential Equations by the analytic and synthetic methods, takes in linear, quadratic, cubic and quartic figures in various Written by two experts in the field, this is the Finite Element Method dimensions, and deals at length with refinements only comprehensive and unified treatment of the The FEniCS Book of basic theories, including those of Pappus and central ideas and applications of Kolmogorov Desargues. complexity. The book presents a thorough treat- This book is a tutorial written by researchers ment of the subject with a wide range of illustra- and developers behind the FEniCS Project and 2013. XI, 184 p. 103 illus., 20 illus. in color. tive applications. explores an advanced, expressive approach to Softcover the development of mathematical software. The ISBN 978-1-4471-4630-8 3rd ed. 2008. XXIII, 790 p. (Texts in Computer presentation spans mathematical background, 7 $49.95 Science) Hardcover software design and the use of FEniCS in applica- ISBN 978-0-387-33998-6 tions. Yellow Sale Price 7 $84.95 7 $39.99 2012. XIII, 723p. 346 illus., 52 illus. in color. Yellow Sale Price (Lecture Notes in Computational Science and 9
D. Logan, University of Nebraska--Lincoln R. López, University of Granada, Granada, Spain G. G. Lorentz, M. v. Golitschek, Y. Makovoz Department of Mathematics, Lincoln, NE, USA Constant Mean Curvature Constructive Approximation A First Course in Differential Surfaces with Boundary Advanced Problems Equations The study of surfaces with constant mean curva- In the last 30 years, Approximation Theory has This concise, up-to-date textbook is designed for ture (CMC) is one of the main topics in classical undergone wonderful develop ment, with many the standard sophomore course in differential differential geometry. Moreover, CMC surfaces are new theories appearing in this short interval. equations. The basic ideas, models, and solution important mathematical models for the physics This book has its origin in the wish to adequately methods are presented in a user friendly format of interfaces in the absence of gravity, where they describe this development, in particular, to rewrite that is accessible to engineers, scientists, econo- separate two different media or for capillary phe- the short 1966 book of G. G. Lorentz, “Approxima- mists, and mathematics majors. nomena. Further, as most techniques used in the tion of Functions.” Soon after 1980, R. A. DeVore theory of CMC surfaces not only involve geomet- and Lorentz joined forces for this purpose. The 2nd ed. 2011. XVIII, 386 p. (Undergraduate Texts ric methods but also PDE and complex analysis, outcome has been their “Constructive Approxima- in Mathematics) Hardcover the theory is also of great interest for many other tion” (1993), volume 303 of this series. References ISBN 978-1-4419-7591-1 mathematical fields. to this book are given as, for example rCA, p.201]. 7 $74.95 2013. XIV, 292 p. 64 illus. (Springer Monographs in Only available in print Yellow Sale Price Mathematics) Hardcover Softcover reprint of the original 1st ed. 1996. XI, 7 $49.99 ISBN 978-3-642-39625-0 7 $109.00 649 pp. 10 figs. (Grundlehren der mathematischen Wissenschaften, Volume 304) Softcover 9
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S. E. Louridas, Athens, Greece; M. T. Rassias, ETH S. Lynch, Manchester Metropolitan University Dept. B. MacCluer, University of Virginia Dept. Zurich, Zurich, Switzerland Computing & Mathematics, Manchester, UK Mathematics, Charlottesville, VI, USA Problem-Solving and Selected Dynamical Systems Elementary Functional Analysis
Topics in Euclidean Geometry with Applications using This concise text on functional analysis is gently In the Spirit of the Mathematical Olympiads Mathematica® written and covers a unique set of topics. It includes numerous high-quality exercises and This book contains theorems of particular value This book provides an introduction to the theory interesting historical tidbits scattered throughout. for the solution of Olympiad-caliber problems in of dynamical systems with the aid of the Math- Euclidean Geometry. It teaches methods of analy- ematica® computer algebra package. The book has 1st Edition. sis, synthesis, construction, and proof with specific a very hands-on approach and takes the reader 2nd Printing. 2008. X, 208p. 5 illus.. (Graduate Texts problems, examples, and applications. from basic theory to recently published research in Mathematics, Volume 253) Hardcover material. ISBN 978-0-387-85528-8 2013. X, 235 p. 134 illus. Hardcover 7 $49.95 ISBN 978-1-4614-7272-8 2007. XV, 484 p. Softcover 7 $49.99 ISBN 978-0-8176-4482-6 Yellow Sale Price 7 $59.95 7 $29.99 Yellow Sale Price 7 $39.99 Yellow Sale Price 9
D. G. Luenberger, Stanford University Terman T. Ma, Sichuan University, Sichuan, People’s Republic M. G. Marasinghe, W. J. Kennedy, Iowa State Engineering Center, Stanford, CA, USA; Y. Ye, of China; S. Wang, Indiana University, Bloomington, University Dept. Statistics, Ames, IA, USA Stanford University School of Engineering, Stanford, IN, USA SAS for Data Analysis CA, USA Phase Transition Dynamics Linear and Nonlinear Intermediate Statistical Methods This book introduces a general principle of This book is an integrated treatment of applied Programming dynamic transitions for dissipative systems, statistical methods, presented at an intermediate establishes a systematic dynamic transition theory, This third edition of the classic textbook in level. It serves as an advanced introduction to the and explores the physical implications of applica- Optimization has been fully revised and updated. SAS programming language as well as demonstrat- tions of the theory to a range of problems in the It comprehensively covers modern theoreti- ing how to use SAS to analyse of a wide variety of nonlinear sciences. cal insights in this crucial computing area. The data. book also has a new co-author, who has written 2014. XXII, 555 p. 155 illus. Hardcover extra material including some on Interior Point ISBN 978-1-4614-8962-7 2008. XII, 558 p. With 100 SAS Programs. Methods. 7 $149.00 (Statistics and Computing) Hardcover ISBN 978-0-387-77371-1 3rd ed. 2008. XIV, 546 p. (International Series Yellow Sale Price 7 $79.95 in Operations Research & Management Science, 7 $99.00 Volume 116) Hardcover Yellow Sale Price ISBN 978-0-387-74502-2 9
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G. A. Margulis J. Marsden, A. Weinstein A. McInerney, Bronx Community College City Discrete Subgroups of Calculus II University of New York, Bronx, NY, USA First Steps in Differential Semisimple Lie Groups The second of a three-volume work, this is the re- sult of the authors’ experience teaching calculus at Geometry This book, written by a master of the subject, is Berkeley. The book covers techniques and applica- primarily devoted to discrete subgroups of finite Riemannian, Contact, Symplectic tions of integration, infinite series, and differential covolume in semi-simple Lie groups. The author equations, the whole time motivating the study of Unlike other texts in differential geometry, this not only proves results in the classical geometry calculus using its applications. The authors include book develops the architecture necessary to intro- setting, but also obtains theorems of an algebraic numerous solved problems, as well as extensive duce symplectic and contact geometry alongside nature. exercises at the end of each section. In addition, a its Riemannian cousin. Emphasizes the conse- Only available in print separate student guide has been prepared. quences of a definition and the use of examples and constructions. 1991. IX, 390 p. (Ergebnisse der Mathematik und 2nd ed. 1985. Corr. 4th printing 1998. 345p. ihrer Grenzgebiete. 3. Folge / A Series of Modern 297 illus.. (Undergraduate Texts in Mathematics) 2013. XIII, 410 p. 54 illus., 25 illus. in color. Surveys in Mathematics, Volume 17) Hardcover Softcover (Undergraduate Texts in Mathematics) Hardcover ISBN 978-3-540-12179-4 ISBN 978-0-387-90975-2 ISBN 978-1-4614-7731-0 7 $249.00 7 $54.95 7 $79.99
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J. Marsden, Red Creek, NY, USA; A. Weinstein J. Marsden, A. Weinstein, Department of R. Meester, Vrije Univ. Fac. Exacte Wetenschappen, Calculus I Mathematics University of California at Berkeley, Amsterdam, Netherlands Berkeley, CA, USA A Natural Introduction to The goal of this text is to help students learn to use Calculus III calculus intelligently for solving a wide variety of Probability Theory mathematical and physical problems. This book is The goal of this text is to help students learn to use This introduction to probability theory is an an outgrowth of our teaching of calculus at Berke- calculus intelligently for solving a wide variety of excellent textbook for a one-semester course for ley, and the present edition incorporates many im- mathematical and physical problems. This book is undergraduates in any direction that uses proba- provements based on our use of the first edition. an outgrowth of our teaching of calculus at Berke- bilistic ideas. Compact but readable, it appeals to We list below some of the key features of the book. ley, and the present edition incorporates many im- intuition and introduces technical machinery only Examples and Exercises The exercise sets have provements based on our use of the first edition. when necessary. been carefully constructed to be of maximum use We list below some of the key features of the book. to the students. With few exceptions we adhere to Examples and Exercises The exercise sets have the following policies. • The section exercises are been carefully constructed to be of maximum use 2nd ed. 2008. Softcover graded into three consecutive groups: (a) The first to the students. With few exceptions we adhere to ISBN 978-3-7643-8723-5 exercises are routine, modelled almost exactly on the following policies . 7 $39.95 the exam ples; these are intended to give students Yellow Sale Price confidence. 2nd ed. 1985. Corr. 4th printing 1998. XV, 372 7 $29.99 p. 75 illus. (Undergraduate Texts in Mathematics) 2nd ed. 1985. XVI, 388 p. 50 illus. (Undergraduate Softcover Texts in Mathematics) Softcover ISBN 978-0-387-90985-1 9
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E. Meinrenken, University of Toronto Department of R. C. Mittelhammer, Washington State University, J.‑M. Muller, N. Brisebarre, École Normale Mathematics, Toronto, ON, Canada Pullman, WA, USA Supérieure de Lyon CNRS, Lyon CX 07, France; F. de Dinechin, Ecole Normale Supérieure de Lyon CNRS Clifford Algebras and Lie Theory Mathematical Statistics for UMR 5668, Lyon CX 07, France; C.‑P. Jeannerod, This book covers the basics of Clifford algebras Economics and Business V. Lefèvre, Ecole Normale Supérieure de Lyon Labo. and spinor modules, with applications to the the- Informatique du Parallélisme (LIP), Lyon CX 07, In its updated Second Edition, this is a compre- ory of Lie groups. Topics include Petracci’s proof France; G. Melquiond, INRIA Saclay - Île-de-France, hensive survey of the principles of mathematical of the Poincare-Birkhoff-Witt theorem, quantized Orsay CX, France; N. Revol, Ecole Normale Supérieure statistics which underpin statistical analyses in Weil algebras, Duflo’s theorem for quadratic Lie de Lyon Labo. Informatique du Parallélisme (LIP), economics, business, and econometrics. Includes algebras and more. Lyon CX 07, France; D. Stehlé, CNRS, Macquarie some 300 problems and exercises, and a down- University, and University of Sydney, Sydney, NSW, loadable answer manual. Australia; S. Torres, Ecole Normale Supérieure de 2013. XX, 321 p. (Ergebnisse der Mathematik und Lyon CNRS UMR 5668, Lyon CX 07, France ihrer Grenzgebiete. 3. Folge / A Series of Modern 2nd ed. 2013. XXIX, 755 p. 93 illus. Hardcover Surveys in Mathematics, Volume 58) Hardcover ISBN 978-1-4614-5021-4 Handbook of Floating-Point ISBN 978-3-642-36215-6 7 $99.00 7 $129.00 Arithmetic Yellow Sale Price Yellow Sale Price This handbook aims to provide a complete over- 7 $69.99 7 $79.99 view of modern floating-point arithmetic. 2010. XXIV, 572 p. Hardcover 9
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D. Mitrea, University of Missouri, Columbia, MO, USA Y. Moschovakis, University of California, Los Angeles D. Mumford, Brown University Div. Applied Distributions, Partial Dept. Mathematics, Los Angeles, CA, USA Mathematics, Providence, RI, USA Differential Equations, and Notes on Set Theory Selected Papers Harmonic Analysis The axiomatic theory of sets is a vibrant part of On the Classification of Varieties and Moduli pure mathematics, and is also viewed as a founda- Spaces This book offers a rapid introduction to the theory tion of mathematics. This book addresses both Mumford is a well-known mathematician and of distributions and its applications to partial dif- pure math and the fundamentals. The new edition winner of the Fields Medal, the highest honor ferential equations and harmonic analysis. Each is reworked and expanded for improved presenta- available in mathematics. Many of these papers chapter contains exercises and many have solu- tion. are currently unavailable, and the commentaries tions at the end of the book. by Gieseker, Lange, Viehweg and Kempf are being 2nd ed. 2006. XII, 278 p. (Undergraduate Texts in published here for the first time. 2013. XXI, 460 p. (Universitext) Softcover Mathematics) Hardcover ISBN 978-1-4614-8207-9 ISBN 978-0-387-28722-5 Only available in print 7 $89.99 7 $99.00 2004. XIII, 795 p. Hardcover Yellow Sale Price Yellow Sale Price ISBN 978-0-387-21092-6 7 $59.99 7 $49.99 7 $159.00 9
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D. Mumford, Brown University Div. Applied J. D. Murray, University of Washington Dept. Applied T. Myint-U, Westport, CT, USA; L. Debnath, Mathematics, Providence, RI, USA Mathematics, Seattle, WA, USA University of Texas, Pan American, Edinburg, TX, USA The Red Book of Varieties and Mathematical Biology II Linear Partial Differential Schemes Spatial Models and Biomedical Applications Equations for Scientists and
Includes the Michigan Lectures (1974) on It has been over a decade since the release first edi- Engineers Curves and their Jacobians tion of the now classic original edition of Murray’s This significantly expanded fourth edition is Mathematical Biology. Since then mathematical Appendix by: E. Arbarello designed as an introduction to the theory and biology and medicine has grown at an astonish- applications of linear PDEs. The authors provide ing rate and has established itself as a distinct Mumford’s famous Red Book gives a simple fundamental concepts, underlying principles, a discipline. Mathematical modelling is now being readable account of the basic objects of algebraic wide range of applications, and various methods applied in every major discipline in the biomedical geometry, preserving as much as possible their of solutions to PDEs. sciences. Though the field has become increasingly geometric flavor and integrating this with the tools large and specialized, this book remains impor- of commutative algebra. It is aimed at graduate tant as a text that introduces some of the exciting 4th ed. 2007. XXII, 778 p. Hardcover students or mathematicians in other fields wishing problems which arise in the biomedical sciences ISBN 978-0-8176-4393-5 to learn quickly what algebraic geometry is all and gives some indication of the wide spectrum of 7 $89.95 about. questions that modelling can address. Yellow Sale Price 2nd exp. ed. 1999. X, 314 p. (Lecture Notes in 7 $59.99 3rd Corrected ed. 2003. Corr. 3rd printing 2008. Mathematics, Volume 1358) Softcover XXV, 814 p. (Interdisciplinary Applied Mathematics, ISBN 978-3-540-63293-1 Volume 18) Hardcover 9
J. D. Murray J. D. Murray, University of Washington Dept. Applied G. Nason, University Bristol Faculty Science, Bristol, Mathematical Biology Mathematics, Seattle, WA, USA UK I. An Introduction Mathematical Biology II Wavelet Methods in Statistics Spatial Models and Biomedical Applications with R It has been over a decade since the release of the now classic original edition of Murray’s Math- It has been over a decade since the release first edi- This book contains information on how to tackle ematical Biology. Since then mathematical biology tion of the now classic original edition of Murray’s many important problems using a multiscale has grown at an astonishing rate and is well Mathematical Biology. Since then mathematical statistical approach. It focuses on how to use mul- established as a distinct discipline. Mathematical biology and medicine has grown at an astonish- tiscale methods and discusses methodological and modeling is now being applied in every major ing rate and has established itself as a distinct applied considerations. discipline in the biomedical sciences. Though the discipline. Mathematical modelling is now being field has become increasingly large and special- applied in every major discipline in the biomedical 2008. X, 259 p. (Use R!) Softcover ized, this book remains important as a text that in- sciences. ISBN 978-0-387-75960-9 troduces some of the exciting problems that arise 7 $89.95 in biology and gives some indication of the wide 3rd ed. 2003. Softcover reprint of the original Yellow Sale Price spectrum of questions that modeling can address. 3rd ed. 2003. XXV, 814 p. In 2 volumes, not available 7 $49.99 Due to the tremendous development in the field separately. (Interdisciplinary Applied Mathematics, this book is being published in two volumes. Volume 18) Softcover ISBN 978-1-4757-7870-0 9
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D. Mumford, Brown University Div. Applied A. Némethi, A. Szilárd, Hungarian Academy of F. Neumann, Max Planck Institute for Informatics Mathematics, Providence, RI, USA Sciences, Budapest, Hungary (Eds) Dept. of Algorithms and Complexity, Saarbrücken, A. Neeman, Australian National University School Germany; C. Witt, Technical University of Denmark, of Mathematical Sciences, Canberra, ACT, Australia; Deformations of Surface Kgs. Lyngby, Denmark C.‑L. Chai, University of Pennsylvania Dept. Singularities Mathematics, Philadelphia, PA, USA; T. Shiota, Kyoto Bioinspired Computation in University Fac. Science, Kyoto, Japan (Eds) The present publication contains a special collec- Combinatorial Optimization tion of research and review articles on deforma- Selected Papers tions of surface singularities, that put together Algorithms and Their Computational Volume II: On Algebraic Geometry, including serve as an introductory survey of results and Complexity Correspondence with Grothendieck methods of the theory, as well as open problems and examples. The aim is to collect material that This book shows how runtime behavior can be analyzed in a rigorous way and for combinatorial These articles span the years from 1961-1980 will help mathematicians already working or wish- optimization in particular. It presents well-known while David Mumford was an active researcher ing to work in this area to deepen their insight and problems such as minimum spanning trees, short- in the area of algebraic geometry. This volume in- eliminate the technical barriers in this learning est paths, maximum matching, and covering and cludes many important papers previously omitted. process. Additionally, we introduce some material scheduling problems. Mumford’s correspondence with Grothendieck is which emphasizes the newly found relationship also included. with the theory of Stein fillings and symplectic geometry. 2010. XII, 216 p. (Natural Computing Series) Only available in print Hardcover 2013. XII, 275 p. 71 illus. (Bolyai Society ISBN 978-3-642-16543-6 2010. XXII, 767 p. Hardcover Mathematical Studies, Volume 23) Hardcover 7 $99.00 ISBN 978-0-387-72491-1 ISBN 978-3-642-39130-9 7 $119.00 7 $109.00 Yellow Sale Price 7 $59.99 Yellow Sale Price Yellow Sale Price 7 $69.99 7 $79.99 9
R. B. Nelsen, Lewis and Clark College Dept. J. Neukirch, Universität Regensburg, Regensburg, T. Oda Mathematical Sciences, Portland, OR, USA Germany Convex Bodies and Algebraic An Introduction to Copulas Class Field Theory Geometry -The Bonn Lectures- Edited by Alexander Copulas are functions that join multivariate An Introduction to the Theory of Toric Schmidt distribution functions to their one-dimensional Varieties margins. The study of copulas and their role in Scientific editor: A. Schmidt, Universität Heidelberg, statistics is a new but vigorously growing field. In Heidelberg, Germany The theory of toric varieties (also called torus this book the student or practitioner of statistics embeddings) describes a fascinating interplay and probability will find discussions of the fun- For readers familiar with basic algebraic number between algebraic geometry and the geometry of damental properties of copulas and some of their theory, this book provides quick and immediate convex figures in real affine spaces. This book is primary applications. The applications include the access to class field theory. Discusses the cohomol- a unified up-to-date survey of the various results study of dependence and measures of associa- ogy of finite groups, local class field theory, and and interesting applications found since toric tion, and the construction of families of bivariate the class field theory of finite algebraic number varieties were introduced in the early 1970’s. distributions. With 116 examples, 54 figures, and fields. 167 exercises, this book is suitable as a text or for Only available in print self-study. The only prerequisite is an upper level 2013. XI, 184 p. Softcover undergraduate course in probability and math- Softcover reprint of the original 1st ed. 1988. VIII, 212 ISBN 978-3-642-35436-6 ematical statistics, although some familiarity with pp. 42 figs. (Ergebnisse der Mathematik und ihrer 7 $69.95 nonparametric statistics would be useful. Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, Volume 15) Softcover Yellow Sale Price 2nd ed. 2006. Corr. 2nd. printing 2007. XIV, 272 p. ISBN 978-3-642-72549-4 $49.99 (Springer Series in Statistics) Hardcover 7 7 $129.00 ISBN 978-0-387-28659-4 7 $179.00 9
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T. O. O’Meara A. Ostermann, University of Innsbruck Department S. Ovchinnikov, San Francisco State University Dept. Introduction to Quadratic of Mathematics, Innsbruck, Austria; G. Wanner, Mathematics, San Francisco, CA, USA Université de Genève Section de mathématiques, Measure, Integral, Derivative Forms Genève 4, Switzerland A Course on Lebesgue’s Theory From the reviews: “O’Meara treats his subject from Geometry by Its History this point of view (of the interaction with algebraic Featuring over 180 exercises, this text for a one- This book introduces fundamentals of geometry groups). He does not attempt an encyclopedic semester course in Lebesgue’s theory takes an in the approximate order of their discovery, from coverage ...nor does he strive to take the reader to elementary approach, making it easily accessible the ancient Greeks through Euclid, to Descartes, the frontiers of knowledge... . Instead he has given to both upper-undergraduate- and lower-gradu- Euler and Gauss, to spatial geometry, matrices a clear account from first principles and his book ate-level students. and projective geometry. Includes many examples, is a useful introduction to the modern viewpoint figures and images. and literature. In fact it presupposes only under- 2013. X, 146 p. 16 illus. (Universitext) Softcover graduate algebra (up to Galois theory inclusive)... ISBN 978-1-4614-7195-0 2012. XII, 440 p. (Undergraduate Texts in The book is lucidly written and can be warmly $49.95 Mathematics / Readings in Mathematics) Hardcover 7 recommended. J.W.S. Cassels, The Mathematical ISBN 978-3-642-29162-3 Gazette, 1965 “Anyone who has heard O’Meara Yellow Sale Price $79.95 lecture will recognize in every page of this book 7 7 $39.99 the crispness and lucidity of the author’s style. Yellow Sale Price 7 $49.99 9
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M. O’Searcoid, University College Dublin Dept. S. Otto, The R & A, St Andrews, Fife, UK; J. P. Denier, B. P. Palka Mathematical Physics, Dublin, Ireland The University of Auckland, Auckland, New Zealand An Introduction to Complex Metric Spaces An Introduction to Function Theory The abstract concepts of metric spaces are often Programming and Numerical This book provides a rigorous yet elementary perceived as difficult. This book offers a unique Methods in MATLAB introduction to the theory of analytic functions of approach to the subject which gives readers the a single complex variable. While presupposing in advantage of a new perspective on ideas familiar An elementary first course for students in math- its readership a degree of mathematical maturity, it from the analysis of a real line. ematics and engineering Practical in approach: ex- insists on no formal prerequisites beyond a sound amples of code are provided for students to debug, knowledge of calculus. Starting from basic defini- 2007. XX, 304 p. 102 illus. (Springer and tasks – with full solutions – are provided at tions, the text slowly and carefully develops the Undergraduate Mathematics Series) Softcover the end of each chapter Includes a glossary of use- ideas of complex analysis to the point where such ISBN 978-1-84628-369-7 ful terms, with each term supported by an example landmarks of the subject as Cauchy’s theorem, the $49.95 of the syntaxes commonly encountered 7 Riemann mapping theorem, and the theorem of Yellow Sale Price Mittag-Leffler can be treated without sidestepping 2005. XVI, 464 p. 111 illus., 2nd printing Softcover any issues of rigor. 7 $29.99 ISBN 978-1-85233-919-7 9
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G. Patrizio, Università di Firenze Dipartimento H.‑O. Peitgen, Universität Bremen MeVis-Zentrum L. Perko di Matematica “U.Dini”, Firenze, Italy; Z. Błocki, für Medizinische, Bremen, Germany; H. Jürgens, Jagiellonian University Institute of Mathematics, MeVis GmbH, Bremen, Germany; D. Saupe, Differential Equations and Krakow, Poland; F. Berteloot, Université Paul Universität Konstanz FB Informatik und, Konstanz, Dynamical Systems Sabatier Institut de Mathématiques de Toulouse, Germany Toulouse, France; J. P. Demailly, University of This textbook, ideal for students and lectur- Grenoble I Institut Fourier, Saint-Martin d’Hères, Chaos and Fractals ers alike, is a systematic study of the qualitative France New Frontiers of Science and geometric theory of nonlinear differential equations and dynamical systems. It includes a Pluripotential Theory The fourteen chapters of this book cover the thorough treatment of linear systems. Cetraro, Italy 2011, Editors: Filippo Bracci, central ideas and concepts of chaos and fractals as John Erik Fornæss well as many related topics including: the Mandel- 3rd ed. 2001. Corr. 3rd printing 2008. XIV, 557 p. brot set, Julia sets, cellular automata, L-systems, (Texts in Applied Mathematics, Volume 7) Hardcover Scientific editor: F. Bracci, Università di Roma “Tor percolation and strange attractors. This new edi- ISBN 978-0-387-95116-4 Vergata” Dipartimento di Matematica, Rome, Italy; tion has been thoroughly revised throughout. The 7 $95.00 J. E. Fornæss, University of Michigan Department of appendices of the original edition were taken out Mathematics, Ann Arbor, MI, USA since more recent publications cover this material Yellow Sale Price in more depth. Instead of the focussed computer 7 $49.99 2013. IX, 319 p. 11 illus., 9 illus. in color. (Lecture programs in BASIC, the authors provide 10 inter- Notes in Mathematics / C.I.M.E. Foundation active JAVA-applets for this second edition. 9
P. Paule, Johannes Kepler University, Linz, Austria A. L. Peressini, F. E. Sullivan, J. J. Uhl D. Perrin, Université Paris-Sud XI Dépt. (Ed) The Mathematics of Nonlinear Mathématiques, Orsay CX, France Mathematics, Computer Programming Algebraic Geometry Science and Logic - A Never An Introduction Nonlinear programming provides an excellent Transl. French: C. Maclean Ending Story opportunity to explore an interesting variety of The Bruno Buchberger Festschrift pure and solidly applicable mathematics, numeri- cal analysis, and computing. This text develops This book provides an introduction to alge- This book presents four mathematical essays that some of the ideas and techniques involved in the braic geometry that is particularly suitable for explore the foundations of mathematics and re- optimization methods using calculus, leading to those with no previous contact with the subject. lated topics ranging from philosophy and logic to the study of convexity. This is followed by material Exercises are provided for each topic discussed, modern computer mathematics. It details the state on basic numerical methods, least squares, the and a selection of problems and exam papers are of the art as well as new ideas and directions. Karush-Kuhn-Tucker theorem, penalty functions, collected in an appendix. and Lagrange multipliers. 2013. VII, 113 p. 35 illus. Hardcover 2008. XI, 263 p. (Universitext) Softcover ISBN 978-3-319-00965-0 Only available in print ISBN 978-1-84800-055-1 7 $109.00 7 $69.95 1st ed. 1988. Corr. 2nd printing 1993. X, 276 p. Yellow Sale Price (Undergraduate Texts in Mathematics) Hardcover Yellow Sale Price 7 $79.99 ISBN 978-0-387-96614-4 7 $39.99 9
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G. Peskir, University of Manchester Inst. Science and H. Pham, Université Paris VII Labo. Probabilités et, M. L. Pinedo, New York University Stern School of Tech., Manchester, UK; A. Shiryaev, Russian Academy Paris CX 13, France Business, New York, NY, USA of Sciences Steklov Mathematical Institute, Moskva, Russia Continuous-time Stochastic Planning and Scheduling in Optimal Stopping and Free- Control and Optimization with Manufacturing and Services Boundary Problems Financial Applications “The main emphasis of the book is on applications of various models that facilitate managerial deci- This text provides a systematic treatment of sto- Disclosing a fascinating connection between sions to be taken....The algorithms and techniques chastic optimization problems applied to finance optimal stopping problems in probability and are explained by providing insight and illustra- by presenting the different existing methods: free-boundary problems this comprehensive book tion.” --ZENTRALBLATT MATH dynamic programming, viscosity solutions, covers classic methods of solution and more re- backward stochastic differential equations and cent ones. Using minimal tools and key examples 2nd ed. 2009. XVIII, 536 p. Hardcover martingale duality methods. the book exposes optimal stopping problems at its ISBN 978-1-4419-0909-1 basic principles. 7 $79.95 2009. XVII, 232p. (Stochastic Modelling and 2006. XXII, 502 p. (Lectures in Mathematics. ETH Applied Probability, Volume 61) Hardcover Yellow Sale Price Zürich) Hardcover ISBN 978-3-540-89499-5 7 $49.99 ISBN 978-3-7643-2419-3 7 $59.95 7 $69.95 Yellow Sale Price 9
P. Petersen, University of California, Los Angeles J. Picado, University of Coimbra, Coimbra, Portugal; M. L. Pinedo, New York University Stern School of Department of Mathematics, Los Angeles, CA, USA A. Pultr, Charles University Faculty of Mathematics Business, New York, NY, USA Linear Algebra and Physics, Prague 1, Czech Republic Scheduling Frames and Locales This book introduces all the important topics in Theory, Algorithms, and Systems the field: complex vector spaces, complex inner Topology without points This fresh edition of a key work on schedul- products, the Spectral theorem for normal opera- With a wealth of unpublished material and use- ing assesses the latest developments and covers tors, dual spaces, the minimal polynomial, the ful appendices on the background, this is the theoretical models as well as real-world scheduling Jordan canonical form and more. Includes many first monograph on the topic for more than two problems. It includes software that contains slide engaging exercises. decades and is intended to bridge the time span shows from industry and movies on implementing between Johnstone’s 1983 paper Stone Spaces and scheduling systems. 2012. X, 390 p. (Undergraduate Texts in current theory. Mathematics) Hardcover 4th ed. 2012. XX, 676 p. Hardcover ISBN 978-1-4614-3611-9 2012. XIX, 398p. (Frontiers in Mathematics) Softcover ISBN 978-1-4614-1986-0 7 $59.95 ISBN 978-3-0348-0153-9 7 $84.95 7 $74.95 Yellow Sale Price Yellow Sale Price 7 $39.99 Yellow Sale Price 7 $49.99 9
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V. V. Prasolov, Independent University of Moscow K. Price, Vacaville, CA, USA; R. M. Storn, Rohde H. J. Prömel, Technische Universität Darmstadt, Dept. Mathematics, Moskva, Russia & Schwarz GmbH & Co. KG, München, Germany; Darmstadt, Germany J. A. Lampinen, Lappeenranta University of Polynomials Technology Dept. Information Technology, Ramsey Theory for Discrete Translated by: D. Leites, Stockholm University Dept. Lappeenranta, Finland Structures Mathematics, Stockholm, Sweden Differential Evolution This monograph covers the most important devel- This comprehensive book covers both long- A Practical Approach to Global Optimization opments in Ramsey theory from its beginning in standing results in the theory of polynomials and the early 20th century via its many breakthroughs recent developments. After initial chapters on the Problems demanding globally optimal solutions and highlights in the late 20th century up to recent location and separation of roots and on irreduc- are ubiquitous, yet many are intractable when they important developments in the early 21st century. ibility criteria, the book covers more specialized involve constrained functions having many local 2013. XVI, 232 p. 13 illus. Hardcover polynomials. optima and interacting, mixed-type variables. The differential evolution (DE) algorithm is a practical ISBN 978-3-319-01314-5 approach to global numerical optimization which 7 $109.00 2004. XIII, 301 p. 8 illus. (Algorithms and is easy to understand, simple to implement, reli- Computation in Mathematics, Volume 11) Hardcover Yellow Sale Price able, and fast. Packed with illustrations, computer ISBN 978-3-540-40714-0 7 $79.99 code, new insights, and practical advice, this vol- 7 $89.95 ume explores DE in both principle and practice. Yellow Sale Price 9
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F. P. Preparata, Brown University Dept. Computer N. Privault, School of Physical and Mathematical C. C. Pugh Science, Providence, RI, USA; M. Shamos Sciences, Nanyang Technological University, Real Mathematical Analysis Computational Geometry Singapore, Singapore Understanding Markov Chains Was plane geometry your favourite math course in An Introduction high school? Did you like proving theorems? Are Examples and Applications you sick of memorising integrals? If so, real analy- From the reviews: “This book offers a coherent sis could be your cup of tea. In contrast to calculus treatment, at the graduate textbook level, of the This book provides an undergraduate introduction and elementary algebra, it involves neither for- field that has come to be known in the last decade to discrete and continuous-time Markov chains mula manipulation nor applications to other fields or so as computational geometry...... The book and their applications. It includes more than 70 of science. None. It is Pure Mathematics, and it is well organized and lucidly written; a timely exercises, along with complete solutions, that help is sure to appeal to the budding pure mathemati- contribution by two founders of the field. It clearly illustrate and present all concepts. cian. In this new introduction to undergraduate demonstrates that computational geometry in the real analysis the author takes a different approach plane is now a fairly well-understood branch of 2013. IX, 354 p. 71 illus. (Springer Undergraduate from past studies of the subject, by stressing the computer science and mathematics. It also points Mathematics Series) Softcover importance of pictures in mathematics and hard the way to the solution of the more challenging ISBN 978-981-4451-50-5 problems. The exposition is informal and relaxed, problems in dimensions higher than two.” #Math- $49.99 7 with many helpful asides, examples and occasional ematical Reviews#1 “... This remarkable book is a comments from mathematicians like Dieudonne, comprehensive and systematic study on research Yellow Sale Price Littlewood and Osserman. results obtained especially in the last ten years.” 7 $29.99 1st ed. 2002. Corr. 2nd printing 2003. XII, 440 p. 1st ed. 1985. Corr. 5th printing 1993. XIV, 398 p. 9
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K. R. Rao, Univ. of Texas at Arlington Electr. C. Reid S. I. Resnick, Cornell University School of Operations Engineering, Arlington, TX, USA; D. N. Kim, Barun Hilbert Research &, Ithaca, NY, USA Technologies Corporation, Seoul, Korea, Republic of Adventures in Stochastic (South Korea); J. J. Hwang, Kunsan National Univ., Now in new trade paper editions, these classic Kunsan, Korea, Republic of (South Korea) biographies of two of the greatest 20th Century Processes mathematicians are being released under the Fast Fourier Transform - Stochastic processes are necessary ingredients Copernicus imprint. These noteworthy accounts for building models of a wide variety of phenom- Algorithms and Applications of the lives of David Hilbert and Richard Courant ena exhibiting time varying randomness. In a are closely related: Courant’s story is, in many Fast Fourier Transform - Algorithms and Applica- lively and imaginative presentation, studded with ways, seen as the sequel to the story of Hilbert. tions presents an introduction to the principles of examples, exercises, and applications, and sup- Originally published to great acclaim, both books the fast Fourier transform (FFT). It covers FFTs, ported by inclusion of computational procedures, explore the dramatic scientific history expressed in frequency domain filtering, and applications to the author has created a textbook that provides the lives of these two great scientists and described video and audio signal processing. As fields like easy access to this fundamental topic for many in the lively, nontechnical writing style of Con- communications, speech and image process- students of applied sciences at many levels. With tance Reid. ing, and related areas are rapidly developing, the its carefully modularized discussion and crystal FFT as one of the essential parts in digital signal 1st ed. 1970. 2nd printing 1996. 272 p. Softcover clear differentiation between rigorous proof and processing has been widely used. Thus there is a ISBN 978-0-387-94674-0 plausibility argument, it is accessible to beginners pressing need from instructors and students for a 7 $34.95 but flexible enough to serve as well those who book dealing with the latest FFT topics. come to the course with strong backgrounds. Yellow Sale Price 2010. XVIII, 426 p. (Signals and Communication 7 $19.99 2002. XII, 626 p. Hardcover Technology) Hardcover ISBN 978-0-8176-3591-6 ISBN 978-1-4020-6628-3 9
C. Reid C. Reid J. Richter-Gebert, TU München Zentrum Courant Hilbert-Courant Mathematik (M10), Garching, Germany Perspectives on Projective 1996. XXVII, 318 p. Softcover I am very pleased that my books about David ISBN 978-0-387-94670-2 Hilbert, published in 1970, and Richard Cou- Geometry 7 $15.00 rant, published in 1976, are now being issued by A Guided Tour Through Real and Complex Springer Verlag in a single volume. I have always Geometry Yellow Sale Price felt that they belonged together, Courant being, as $9.99 7 I have written, the natural and necessary sequel to This book provides a comprehensive introduction Hilbert the rest of the story. To make the two vol- into the classical topic of projective geometry. 9
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C. Ritz, Royal Veterinary & Agricultural University, R. T. Rockafellar, University of Washington Dept. S. Roman, Irvine, CA, USA Frederiksberg, Denmark; J. C. Streibig, Royal Mathematics, Seattle, WA, USA; R. J.‑B. Wets, Veterinary & Agricultural University, Taastrup, University of California, Davis Dept. Mathematics, Introduction to the Denmark Davis, CA, USA Mathematics of Finance Nonlinear Regression with R Variational Analysis Arbitrage and Option Pricing Drawings by: M. Wets, University of California, Davis This book provides a coherent and unified treat- Completely rewritten for its second edition, this Dept. Mathematics, Davis, CA, USA ment of nonlinear regression with R by means book concentrates on discrete derivative pricing of examples from a diversity of applied sciences models, culminating in a thorough derivation of such as biology, chemistry, engineering, medicine From its origins in the minimization of integral the Black-Scholes option pricing formulas as a and toxicology. Numerous other related issues are functionals, the notion of ‘variations’ has evolved limiting case of the Cox-Ross-Rubinstein discrete covered too. greatly in connection with applications in optimi- model. zation, equilibrium, and control. It refers not only 2008. XII, 148p. (Use R!) Softcover to constrained movement away from a point, but 2nd ed. 2012. XVI, 288 p. (Undergraduate Texts in ISBN 978-0-387-09615-5 also to modes of perturbation and approximation Mathematics) Hardcover 7 $79.95 that are best describable by ‘set convergence’, varia- ISBN 978-1-4614-3581-5 tional convergence of functions and the like. Yellow Sale Price 7 $59.95 7 $39.99 1st. ed. 1998. Corr. 3rd printing 2009. XII, 736 p. Yellow Sale Price (Grundlehren der mathematischen Wissenschaften, 7 $39.99 9
C. Robert, Université Paris IX UMR CNRS 7534, Paris L. C. Rogers, University of Cambridge Centre for E. Rosazza Gianin, Università di Milano Bicocca, CX 16, France Mathematical Sciences, Cambridge, UK Milano, Italy; C. Sgarra, Politecnico di Milano, Milano, The Bayesian Choice Optimal Investment Italy Mathematical Finance: Theory From Decision-Theoretic Foundations to Readers of this book will learn how to solve a Computational Implementation wide range of optimal investment problems aris- Review and Exercises ing in finance and economics. Starting from the From Binomial Model to Risk Measures This graduate-level textbook, now in paperback, fundamental Merton problem, many variants are presents an introduction to Bayesian statistics and presented and solved, often using numerical tech- This book collects over 120 exercises on topics in decision theory. Its scope covers both the basic niques that the book also covers. The final chapter mathematical finance, including option pricing, ideas of statistical theory and some modern and assesses the relevance of many of the models in risk theory and interest rate models. Every chapter advanced topics of Bayesian statistics. common use when applied to data. contains an introductory section illustrating the main theoretical results necessary to solve the 2nd ed. 2001. XXIV, 606 p. (Springer Texts in 2013. X, 156 p. 44 illus., 3 illus. in color. exercises. Statistics) Hardcover (SpringerBriefs in Quantitative Finance) Softcover ISBN 978-0-387-95231-4 ISBN 978-3-642-35201-0 2013. X, 285 p. (UNITEXT / La Matematica per il 7 $119.00 7 $49.95 3+2, Volume 70) Softcover Yellow Sale Price Yellow Sale Price ISBN 978-3-319-01356-5 $59.99 7 $69.99 7 $29.99 7 Yellow Sale Price 9
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P. R. Rosenbaum, University of Pennsylvania C. Rousseau, Université de Montréal Dépt. L. Rüschendorf, University of Freiburg Department Wharton School, Philadelphia, PA, USA Mathématiques et de Statistique, Montreal, QC, of Mathematical Stochastics, Freiburg, Germany Canada; Y. Saint-Aubin, Université de Montréal Design of Observational Centre de Recherches Mathématiques, Montreal, QC, Mathematical Risk Analysis Studies Canada Dependence, Risk Bounds, Optimal Allocations and Portfolios Observational studies are common in most fields Mathematics and Technology that study the effects of treatments on people. This Translated by: C. Hamilton, With contrib. by: The up-to-date material and logical structure of book is both an introduction to statistical infer- H. Antaya, Montreal, QC, Canada; I. Ascah-Coallier, this volume provides the clarity and orientation ence in observational studies and a discussion of Paris, France needed to gain a solid working knowledge of the principles guiding the design of observational mathematical risk analysis. It includes a special- studies. The authors present elegant mathematical con- ized focus on the risk theory deployed in finance cepts such as Markov chains, function iteration and insurance. 2010. XVIII, 384 p. (Springer Series in Statistics) and simple groups, and develop these concepts, Hardcover 2013. XII, 408 p. 12 illus. (Springer Series in applying them to important practical problems ISBN 978-1-4419-1212-1 Operations Research and Financial Engineering) such as web-navigation, data compression and 7 $149.00 Hardcover error correcting codes. ISBN 978-3-642-33589-1 Yellow Sale Price 7 $129.00 7 $79.99 2008. (Springer Undergraduate Texts in Mathematics and Technology) Hardcover Yellow Sale Price 9
J. Rotman, University of Illinois, Urbana-Champaign W. Rudin, University of Wisconsin Dept. B. Rynne, M. Youngson, Heriot-Watt University Dept. Dept. Mathematics, Urbana, IL, USA Mathematics, Madison, WI, USA Mathematics, Edinburgh, UK An Introduction to Homological Function Theory in the Unit Ball Linear Functional Analysis
Algebra of Cn This is an introduction to the ideas and methods of linear functional analysis. It shows how familiar A fully updated edition of Rotman’s easy-to-follow, Function Theory in the Unit Ball of Cn. From and useful concepts from finite-dimensional linear step-by-step guide to the subject. The book gives a the reviews: “…The book is easy on the reader. algebra can be extended or generalized to infinite- treatment of homological algebra which approach- The prerequisites are minimal—just the standard dimensional spaces. es the subject in terms of its origins in algebraic graduate introduction to real analysis, complex topology. The author has included material about analysis (one variable), and functional analysis. 2nd ed. 2008. (Springer Undergraduate homotopical algebra, alias K-theory. This presentation is unhurried and the author does Mathematics Series) Softcover most of the work. …certainly a valuable reference ISBN 978-1-84800-004-9 2nd ed. 2009. XIV, 710p. 11 illus.. (Universitext) book, and (even though there are no exercises) 7 $49.95 Softcover could be used as a text in advanced courses.” R. ISBN 978-0-387-24527-0 Rochberg in Bulletin of the London Mathematical Yellow Sale Price 7 $49.95 Society. “…an excellent introduction to one of the 7 $29.99 most active research fields of complex analysis.” Yellow Sale Price 7 $29.99 1980. XVIII, 436 p. (Classics in Mathematics) 9
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S. Sakai D. Sarkar, Fred Hutchinson Cancer Research Center M. J. Schervish C*-Algebras and W*-Algebras Div. Public Health Sciences, Seattle, WA, USA Theory of Statistics Lattice From the reviews: “This book is an excellent The aim of this graduate textbook is to provide and comprehensive survey of the theory of von Multivariate Data Visualization with R a comprehensive advanced course in the theory Neumann algebras. It includes all the fundamental of statistics covering those topics in estimation, Written by the author of the lattice system, this results of the subject, and is a valuable reference testing, and large sample theory which a graduate book describes lattice in considerable depth. for both the beginner and the expert.” (Math. student might typically need to learn as prepara- It begins with the essentials and systematically Reviews) “In theory, this book can be read by a tion for work on a Ph.D. An important strength delves into specific low levels details as necessary. well-trained third-year graduate student - but the of this book is that it provides a mathematically Numerous examples using data sets from various reader had better have a great deal of mathemati- rigorous and even-handed account of both Classi- R packages are included. cal sophistication. The specialist in this and allied cal and Bayesian inference in order to give readers areas will find the wealth of recent results and new 1st ed. 2008. Corr. 2nd printing 2008. (Use R!) a broad perspective. For example, the “uniformly approaches throughout the text especially reward- Softcover most powerful” approach to testing is contrasted ing.” (American Scientist) “The title of this book at ISBN 978-0-387-75968-5 with available decision-theoretic approaches. once suggests comparison with the two volumes of 7 $79.95 Dixmier and the fact that one can seriously make 1st ed. 1995. Corr. 2nd printing 1996. XVI, 704 p. this comparison indicates that it is a far more Yellow Sale Price (Springer Series in Statistics) Hardcover substantial work that others on this subject which 7 $49.99 ISBN 978-0-387-94546-0 have recently appeared”(BLMSoc) 7 $129.00 1998. XII, 259 p. (Classics in Mathematics) Softcover 9
K. Sakai, Kanagawa University, Yokohama, Japan G. Schay, University of Massachusetts, Boston, K. Schmüdgen, University of Leipzig, Leipzig, Geometric Aspects of General Boston, MA, USA Germany Topology A Concise Introduction to Unbounded Self-adjoint Linear Algebra Operators on Hilbert Space This book covers dimension theory, ANR theory (theory of retracts) and related topics, connect- This focused introduction to linear algebra is a This book explores unbounded self-adjoint opera- ing with various fields in geometric and general refreshingly concise, semester-length text covering tors on Hilbert space and their spectral theory, topology. Many proofs are illustrated by figures a judiciously chosen selection of the most essential placing emphasis on applications in mathematical or diagrams, making it easier to understand the topics in the field, including the geometric funda- physics and analysis. Addresses advanced topics, underlying concepts. mentals so important for an intuitive understand- and includes many examples and exercises. ing. 2013. XV, 521 p. 79 illus. (Springer Monographs in 2012. XX, 432 p. (Graduate Texts in Mathematics, Mathematics) Hardcover 2012. XII, 330p. 50 illus.. Hardcover Volume 265) Hardcover ISBN 978-4-431-54396-1 ISBN 978-0-8176-8324-5 ISBN 978-94-007-4752-4 $149.00 7 7 $59.95 7 $79.95
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H. Selin, Hampshire College, Amherst, MA, USA (Ed) J.‑P. Serre, College de France Paris Chaire d’Algebre I. R. Shafarevich, Steklov Mathematical Institute et Geometrie, Paris CX 05, France Algebra Section, Moscow, Russia; A. Remizov, CMAP, Mathematics Across Cultures École Polytechnique CNRS, Palaiseau Cedex, France The History of Non-Western Mathematics Galois Cohomology Transl. French: P. Ion Linear Algebra and Geometry Advisory editor: U. D’Ambrosio Transl. Russian: D. P. Kramer, Lancaster, PA, USA; This volume is an English translation of “Co- L. Nekludova, Brookline, MA, USA Mathematics Across Cultures: A History of Non- homologie Galoisienne” . The original edition Western Mathematics consists of essays dealing (Springer LN5, 1964) was based on the notes, writ- Opening with the theory of linear algebraic equa- with the mathematical knowledge and beliefs of ten with the help of Michel Raynaud, of a course tions and basic elements of matrix theory, this cultures outside the United States and Europe. In I gave at the College de France in 1962-1963. In book includes topics not usually covered: exterior addition to articles surveying Islamic, Chinese, the present edition there are numerous additions algebras, non-Euclidean geometry, theory of Native American, Aboriginal Australian, Inca, and one suppression: Verdier’s text on the duality quadrics and more. Offers examples from various Egyptian, and African mathematics, among oth- of profinite groups. The most important addition mathematical fields. ers, the book includes essays on Rationality, Logic is the photographic reproduction of R. Steinberg’s and Mathematics, and the transfer of knowledge “Regular elements of semisimple algebraic groups”, 2013. XXII, 526 p. Hardcover from East to West. The essays address the con- Publ. Math. LH.E.S., 1965. I am very grateful to ISBN 978-3-642-30993-9 nections between science and culture and relate him, and to LH.E.S., for having authorized this re- $69.95 the mathematical practices to the cultures which 7 production. Other additions include: - A proof of produced them. Each essay is well illustrated and the Golod-Shafarevich inequality (Chap. I, App.2). Yellow Sale Price contains an extensive bibliography. 7 $49.99 Softcover reprint of the original 1st ed. 1997. X, 211 2000. XX, 479 p. (Science Across Cultures: The History p. (Springer Monographs in Mathematics) Softcover of Non-Western Science, Volume 2) Hardcover 9
M. Senechal, Smith College Dept. Mathematics & J.‑P. Serre, College de France Paris Chaire d’Algebre R. Shakarchi Statistics, Northampton, MA, USA (Ed) et Geometrie, Paris CX 05, France Problems and Solutions for Shaping Space Lie Algebras and Lie Groups Complex Analysis Exploring Polyhedra in Nature, Art, and the 1964 Lectures given at Harvard University Geometrical Imagination All the exercises plus their solutions for Serge The main general theorems on Lie Algebras Lang’s fourth edition of “Complex Analysis,” Here is an exuberant survey of polyhedra that also are covered, roughly the content of Bourbaki’s ISBN 0-387-98592-1. The problems in the first 8 offers a hands-on introduction to one of the oldest Chapter I. I have added some results on free Lie chapters are suitable for an introductory course and most fascinating branches of mathematics. It algebras, which are useful, both for Lie’s theory at undergraduate level and cover power series, presents a treasury of ideas, history, and culture itself (Campbell-Hausdorff formula) and for ap- Cauchy’s theorem, Laurent series, singularities and that detail the beauty of polyhedra. plications to pro-Jrgroups. of time prevented me meromorphic functions, the calculus of residues, from including the more precise theory of Lack conformal mappings, and harmonic functions. 2013. X, 341 p. 406 illus., 32 illus. in color. Hardcover semisimple Lie algebras (roots, weights, etc.); but, The material in the remaining 8 chapters is more ISBN 978-0-387-92713-8 at least, I have given, as a last Chapter, the typical advanced, with problems on Schwartz reflec- 7 $39.99 case ofal,.. This part has been written with the help tion, analytic continuation, Jensen’s formula, the of F.Raggi and J.Tate. I want to thank them, and Phragmen-Lindeloef theorem, entire functions, Yellow Sale Price also Sue Golan, who did the typing for both parts. Weierstrass products and meromorphic func- $29.99 7 Jean-Pierre Serre Harvard, Fall 1964 Chapter I. tions, the Gamma function and Zeta function. Also beneficial for anyone interested in learning 9
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S. Sheather, Texas A & M University Dept. Statistics, T. S. Shores, University of Nebraska, Lincoln Dept. J. H. Silverman, Brown University Department of College Station, TX, USA Mathematics, Lincoln, NE, USA Mathematics, Providence, RI, USA; J. T. Tate, Harvard A Modern Approach to Applied Linear Algebra and University, Cambridge, MA, USA Regression with R Matrix Analysis Rational Points on Elliptic Curves This book focuses on tools and techniques for This text is intended as a one or two semester building valid regression models using real-world sophomore level course in linear algebra. It is In 1961 the second author delivered a series of data. A key theme throughout the book is that it designed to provide a balance of applications, lectures at Haverford Col lege on the subject of only makes sense to base inferences or conclusions theory and computation, and to emphasize their Rational Points on Cubic Curves. These lectures, on valid models. interdependence. intended for junior and senior mathematics majors, were recorded, tran scribed, and printed 2009. XIV, 393p. (Springer Texts in Statistics) 2007. XII, 384 p. 27 illus. (Undergraduate Texts in in mimeograph form. Since that time they have Hardcover Mathematics) Hardcover been widely distributed as photocopies of ever ISBN 978-0-387-09607-0 ISBN 978-0-387-33194-2 decreasing legibility, and por tions have appeared 7 $89.95 7 $79.95 in various textbooks (Husemoller [1], Chahal [1]), but they have never appeared in their entirety. Yellow Sale Price Yellow Sale Price 7 $49.99 7 $49.99 1st ed. 1992. Corr. 2nd printing 1994. X, 281 p. (Undergraduate Texts in Mathematics) Hardcover 9
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R. W. Shonkwiler, Georgia Institute of Technology, N. Sidoli, Waseda University, Tokyo, Japan; G. Van J. H. Silverman, Brown University Department of Atlanta, GA, USA Brummelen, Quest University, Squamish, BC, Mathematics, Providence, RI, USA Finance with Monte Carlo Canada (Eds) The Arithmetic of Elliptic Curves From Alexandria, Through This book introduces the core topics of a begin- The theory of elliptic curves is distinguished by ning course in finance/financial engineering. Baghdad the diversity of the methods used in its study. Particular emphasis is placed on exploiting the Surveys and Studies in the Ancient Greek and This book treats the arithmetic theory of elliptic power of the Monte Carlo method to illustrate and Medieval Islamic Mathematical Sciences in curves in its modern formulation, through the use explore financial principles. Honor of J.L. Berggren of basic algebraic number theory and algebraic geometry. 2013. XIX, 250 p. 70 illus., 17 illus. in color. Honoring the career of the mathematics historian (Springer Undergraduate Texts in Mathematics and J.L. Berggren, this book surveys scholarship in the 2nd ed. 2009. (Graduate Texts in Mathematics, Technology) Hardcover mathematical sciences in ancient Greece and me- Volume 106) Hardcover ISBN 978-1-4614-8510-0 dieval Islam. Also included are studies by eminent ISBN 978-0-387-09493-9 7 $59.99 scholars of the ancient and medieval mathematical 7 $59.95 sciences. Yellow Sale Price Yellow Sale Price 7 $49.99 2014. XV, 583 p. 158 illus., 21 illus. in color. Hardcover 7 $39.99 ISBN 978-3-642-36735-9 9
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K. Smith J. Snygg, East Orange, NJ, USA J. Souriau Primer of Modern Analysis A New Approach to Differential Structure of Dynamical Systems Directions for Knowing All Dark Things, Geometry using Clifford’s A Symplectic View of Physics Rhind Papyrus, 1800 B.C. Geometric Algebra It is with great pleasure that we are able to provide This book discusses some of the first principles the reader with a translation of Souriau’s elassi- This comprehensive textbook simplifies the of modern analysis. It can be used for courses at cal text “Structure des Systemes Dynamiques” discussion of differential geometry to an accessible several levels, depending upon the background on mechanics. We have added the subtitle “a level by introducing Clifford algebra. It includes and ability of the students. It was written on the symplectic view of physics”, which is elose to the chapter-by-chapter exercises, and provides a rare premise that today’s good students have unex- title first proposed by the author. Compared to the undergraduate-level approach to the subject mat- pected enthusiasm and nerve. When hard work is French version, we have made several changes in ter. put to them, they work harder and ask for more. nota tion for the English edition, all of which have The honors course (at the University of Wiscon- the author’s approval. The most important change 2012. XVII, 465p. 102 illus.. Hardcover sin) which inspired this book was, I think, more is that the symbol V’ for the exterior derivative of ISBN 978-0-8176-8282-8 fun than the book itself. And better. But then there differential forms has been replaced by the symbol 7 $74.95 is acting in teaching, and a typewriter is a poor d. Consequently in order to avoid confusion, substitute for an audience. The spontaneous, cre- Yellow Sale Price the symbols d, d’, ... for vector fields have been replaced by 8, 8’, .... ative disorder that characterizes an exciting course 7 $49.99 becomes silly in a book. 1997. XXXIV, 406 p. (Progress in Mathematics, 9
G. Smith, O. Tabachnikova P. Soberón, University College London Department T. A. Springer Topics in Group Theory of Mathematics, London, UK Jordan Algebras and Algebraic Problem-Solving Methods in We very much hope that this book will be read by Groups the interested student (and not just be parked on Combinatorics From the reviews: “This book presents an impor- a shelf for occasional consultation). If you want a An Approach to Olympiad Problems tant and novel approach to Jordan algebras. Jordan comprehensive reference book on Group Theory, algebras have come to play a role in many areas do not buy this text. There are much better books Yearly math olympiads include at least one combi- of mathematics, including Lie algebras and the available, some of which are mentioned below. natrics problem. This book reviews problem-solv- geometry of Chevalley groups. Springer’s work We have a tale to tell; the absolute essentials of ing techniques for tackling such problems, with will be of service to research workers familiar the theory of groups, followed by some entertain- examples from recent contests. Includes problems with linear algebraic groups who find they need ments and some more advanced material. The for each topic, with hints and full solutions for to know something about Jordan algebras and will theory of groups is an enormous body of material reader practice. provide Jordan algebraists with new techniques which interacts with other branches of mathemat- and a new approach to finite-dimensional algebras ics at countless frontiers. Some parts of the theory 2013. IX, 174 p. 65 illus., 10 illus. in color. over fields.“ are essentially complete, but in other areas all we Softcover see are questions. People happily read novels, so ISBN 978-3-0348-0596-4 1998. VII, 173 p. (Classics in Mathematics) Softcover why not mathematics books? 7 $69.95 ISBN 978-3-540-63632-8 7 $69.95 2000. XVI, 256 pp. 16 figs. (Springer Yellow Sale Price Undergraduate Mathematics Series) Softcover 7 $49.99 Yellow Sale Price ISBN 978-1-85233-235-8 7 $39.99 7 $49.95 9
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T. Springer, Rijksuniversiteit Utrecht Mathematisch B. Steinberg, City College of New York, New York, J. Stillwell, University of San Francisco, San Instituut, Utrecht, Netherlands NY, USA Francisco, CA, USA Linear Algebraic Groups Representation Theory of Finite Mathematics and Its History
The first edition of this book presented the theory Groups This book offers a collection of historical essays of linear algebraic groups over an algebraically An Introductory Approach detailing a large variety of mathematical disci- closed field. This second edition, thoroughly plines and issues; it’s accessible to a broad audi- revised and expanded, extends the theory over This book presents group representation theory ence. This third edition includes new chapters on arbitrary fields, which are not necessarily algebra- at a level accessible to advanced undergraduate simple groups and new sections on alternating ically closed. students and beginning graduate students. It can groups and the Poincare conjecture. Many more also be used as a reference for academics working exercises have been added as well as commentary 2nd ed. 1998. 2nd printing 2008. XII, 334 p. in all areas of mathematics and statistics. Includes that helps place the exercises in context. (Modern Birkhäuser Classics) Softcover exercises. ISBN 978-0-8176-4839-8 3rd ed. 2010. XXII, 662 p. (Undergraduate Texts in 7 $49.95 2012. XIII, 157 p. 4 illus. (Universitext) Softcover Mathematics) Hardcover ISBN 978-1-4614-0775-1 ISBN 978-1-4419-6052-8 Yellow Sale Price 7 $49.95 7 $69.95 7 $29.99 Yellow Sale Price Yellow Sale Price 9
W. Stein, University of Washington Dept. J. Stillwell, University of San Francisco, San S. Stojanovic, University of Cincinnati Dept. Mathematics, Seattle, WA, USA Francisco, CA, USA Mathematics, Cincinnati, OH, USA Elementary Number Theory: Geometry of Surfaces Computational Financial
Primes, Congruences, and Geometry used to be the basis of a mathematical Mathematics using Secrets education; today it is not even a standard under- MATHEMATICA® graduate topic. Much as I deplore this situation, A Computational Approach I welcome the opportunity to make a fresh start. Optimal Trading in Stocks and Options Classical geometry is no longer an adequate basis Classical number theory and elliptic curves are Given the explosion of interest in mathematical for mathematics or physics-both of which are examined in this textbook, which moves on from methods for solving problems in finance and trad- becoming increasingly geometric-and geometry elementary topics such as primes, continued ing, a great deal of research and development is can no longer be divorced from algebra, topology, fractions, and quadratic forms, to elliptic curves taking place in universities, large brokerage firms, and analysis. Students need a geometry of greater and their applications to algorithmic and number and in the supporting trading software industry. scope, and the fact that there is no room for ge- theory problems. Mathematical advances have been made both ometry in the curriculum until the third or fourth analytically and numerically in finding practical year at least allows us to assume some mathemati- solutions. This book provides a comprehensive 2009. X, 168 p. 45 illus. (Undergraduate Texts in cal background. What geometry should be taught? overview of existing and original material, about Mathematics) Hardcover I believe that the geometry of surfaces of constant what mathematics when allied with Mathematica ISBN 978-0-387-85524-0 curvature is an ideal choice, for the following rea- can do for finance. 7 $49.95 sons: 1. It is basically simple and traditional.
Yellow Sale Price 2003. XI, 481 p. With online files/update. 1st ed. 1992. Corr. 2nd printing 1995. XI, 236 p. 7 $29.99 Hardcover (Universitext) Softcover ISBN 978-0-8176-4197-9 ISBN 978-0-387-97743-0 7 $89.95 9
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D. W. Stroock, Massachusetts Institute of K. Tapp, Saint Joseph’s University, Philadelphia, USA T. M. Therneau, P. M. Grambsch Technology, Cambridge, MA, USA Symmetry Modeling Survival Data: An Introduction to Markov A Mathematical Exploration Extending the Cox Model Processes This textbook is perfect for a math course for Extending the Cox Model is aimed at research- Provides a more accessible introduction than non-math majors, with the goal of encouraging ers, practitioners, and graduate students who other books on Markov processes by emphasiz- effective analytical thinking and exposing students have some exposure to traditional methods of ing the structure of the subject and avoiding to elegant mathematical ideas. It includes many survival analysis. The emphasis is on semipara- sophisticated measure theory Leads the reader to a topics commonly found in sampler courses, like metric methods based on the proportional hazards rigorous understanding of basic theory Platonic solids, Euler’s formula, irrational num- model. The inclusion of examples with SAS and S- bers, countable sets, permutations, and a proof PLUS code will make the book accessible to most 2005. XIV, 178 p. (Graduate Texts in Mathematics, of the Pythagorean Theorem. All of these topics working statisticians. Volume 230) Softcover serve a single compelling goal: understanding the ISBN 978-3-540-23451-7 mathematical patterns underlying the symmetry 1st ed. 2000. Corr. 2nd printing 2001. XIV, 350 p. (Statistics for Biology and Health) Hardcover 7 $39.95 that we observe in the physical world around us. ISBN 978-0-387-98784-2 7 $199.00 Yellow Sale Price 2012. XIV, 215 p. 159 illus., 152 illus. in color. 7 $29.99 Hardcover Yellow Sale Price ISBN 978-1-4614-0298-5 7 $109.00 9
T. Sunada, Meiji University School of Science and A. Terras, University of California at San Diego, La S. Torquato, Princeton University Princeton Materials Technology, Kawasaki, Japan Jolla, CA, USA Institute, Princeton, NJ, USA Topological Crystallography Harmonic Analysis on Random Heterogeneous With a View Towards Discrete Geometric Symmetric Spaces—Euclidean Materials Analysis Space, the Sphere, and the Microstructure and Macroscopic Properties
This book is useful for both mathematicians Poincaré Upper Half-Plane The interdisciplinary subject of random hetero- and practical scientists, who know how ideas geneous materials has experienced remarkable This book offers an introduction to harmonic developed in pure mathematics are applied to a growth since the publication of the well-known analysis on the simplest symmetric spaces. It plac- practical problem. monograph Statistical Continuum Theories by es an emphasis on motivation, concrete examples, Beran (1968). Many of these advances, especially 2013. XII, 229 p. 94 illus., 40 illus. in color. (Surveys history, and, above all, applications in mathemat- those concerning the statistical characterization and Tutorials in the Applied Mathematical Sciences, ics, statistics, physics, and engineering. Volume 6) Softcover of the microstructure and its effect on the physical ISBN 978-4-431-54176-9 properties of the material, have not been treated 2nd ed. 2013. XVII, 413 p. 83 illus., 32 illus. in 7 $49.95 fully in any book. One of the intents of the present color. Hardcover book is to fill this gap. ISBN 978-1-4614-7971-0 Yellow Sale Price 7 $79.99 1st ed. 2001. Corr. 2nd printing 2005. XXI, 703 p. 7 $39.99 (Interdisciplinary Applied Mathematics, Volume 16) Yellow Sale Price Hardcover 9
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M. Trifković, University of Victoria, Victoria, BC, D. van Dalen, Utrecht University Department of R. J. Vanderbei, Princeton University, Princeton, NJ, Canada Philosophy, Utrecht, Netherlands USA Algebraic Theory of Quadratic L.E.J. Brouwer – Topologist, Linear Programming Numbers Intuitionist, Philosopher Foundations and Extensions
This book shows the techniques of elementary How Mathematics Is Rooted in Life Introduces the latest theory and applications in arithmetic, ring theory and linear algebra working optimization, emphasizing constrained optimiza- Dutch mathematician and philosopher Luitzen together to prove important theorems, such as the tion. You’ll find a host of practical business appli- Egbertus Jan Brouwer belonged to a special class unique factorization of ideals and the finiteness of cations and non-business applications. The book of genius and was one of the key players in topol- the ideal class group. Includes numerous exercises. offers free C programs to implement the major ogy. This book details of the life and work of this algorithms covered. complex and often controversial genius. 2013. XI, 197 p. 29 illus. (Universitext) Softcover Softcover reprint of hardcover 3rd ed. 2008. ISBN 978-1-4614-7716-7 2013. XII, 875 p. 97 illus., 19 illus. in color. Hardcover (International Series in Operations Research & 7 $69.99 ISBN 978-1-4471-4615-5 Management Science, Volume 114) Softcover 7 $44.95 Yellow Sale Price ISBN 978-1-4419-4497-9 7 $49.99 Yellow Sale Price 7 $109.00 $29.99 7 Yellow Sale Price 9
A. Tveito, Simula Research Laboratory, Fornebu, D. van Dalen, Utrecht University Department of V. Vapnik Norway; R. Winther, Department of Mathematics Philosophy, Utrecht, Netherlands Estimation of Dependences University of Oslo, Oslo, Norway Logic and Structure Introduction to Partial Based on Empirical Data Dirk van Dalen’s popular textbook, now in its fifth Afterword of 2006 Differential Equations edition, provides a comprehensive introduction Translated by: S. Kotz, Silver Spring, MD, USA A Computational Approach to the basics of classical and intuitionistic logic, model theory and Gödel’s famous incompleteness Twenty-five years have passed since the publica- theorem. Includes a new section on ultra-prod- This is the softcover reprint of a popular book tion of the Russian version of the book Estimation ucts. teaching the basic analytical and computational of Dependencies Based on Empirical Data (ED- methods of partial differential equations. It in- BED for short). Twen- five years is a long period cludes coverage of standard topics such as separa- 5th ed. 2013. X, 263 p. 27 illus. (Universitext) of time. During these years many things have hap- tion of variables, Fourier analysis, and energy Softcover pened. Looking back, one can see how rapidly life estimates. ISBN 978-1-4471-4557-8 and technology have changed, and how slow and 7 $69.95 difficult it is to change the theoretical foundation 1st ed. 1998. Corr. 2nd printing 2004. XVI, 394 of the technology and its philosophy. p. (Texts in Applied Mathematics, Volume 29) Yellow Sale Price Hardcover 7 $49.99 Softcover reprint of hardcover 1st ed. 1982. XVIII, 506 ISBN 978-3-540-22551-5 p. (Information Science and Statistics) Softcover 7 $74.95 9
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F. Verhulst, University of Utrecht, Utrecht, J. Voit, Deutscher Sparkassen- und Giroverband e. V. B. v. Waerden Netherlands (DSGV), Berlin, Germany Algebra Nonlinear Differential The Statistical Mechanics of Volume II Equations and Dynamical Financial Markets Based in part on lectures by E. Artin and E. Noether Systems The present third edition of The Statistical Me- chanics of Financial Markets is published only Transl. German: J. Schulenberger “A good book for a nice price!” (Monatshefte für four years after the first edition. The success of Mathematik) “... for lecture courses that cover the the book highlights the interest in a summary of ...This beautiful and eloquent text served to trans- classical theory of nonlinear differential equations the broad research activities on the application of form the graduate teaching of algebra, not only in associated with Poincaré and Lyapunov and intro- statistical physics to financial markets. I am very Germany, but elsewhere in Europe and the United duce the student to the ideas of bifurcation theory grateful to readers and reviewers for their positive States. It formulated clearly and succinctly the and chaos this is an ideal text ...” (Mathematika) reception and comments. Why then prepare a new conceptual and structural insights which Noether “The pedagogical style is excellent, consisting edition instead of only reprinting and correcting had expressed so forcefully. This was combined typically of an insightful overview followed by the second edition? The new edition has been with the elegance and understanding with which theorems, illustrative examples and exercises.” significantly expanded, giving it a more practical Artin had lectured...Its simple but austere style (Choice) twist towards banking. set the pattern for mathematical texts in other subjects, from Banach spaces to topological group 2nd rev. and expanded ed. 1996. Corr. 2nd 3rd ed. 2005. XVI, 378 p. (Theoretical and theory... printing 2006. X, 306 p. 2 illus. (Universitext) Mathematical Physics) Hardcover Softcover ISBN 978-3-540-26285-5 1st ed. 1991. 1st softcover printing 2003. XII, 284 ISBN 978-3-540-60934-6 7 $84.95 p. Softcover $49.95 7 ISBN 978-0-387-40625-1 Yellow Sale Price Yellow Sale Price 7 $49.95 7 $39.99 $29.99 7 Yellow Sale Price 9
C. Villani, Institut Henri Poincaré, Paris Cedex, France B. v. Waerden S. Wagon, Macalester College Dept. Mathematics & Optimal Transport Algebra Computer Science, St. Paul, MN, USA Old and New Volume I Mathematica® in Action Based in part on lectures by E. Artin and E. Problem Solving Through Visualization and The field of optimal transport has made breathtak- Noether Computation ing forays into various other domains of math- ematics. This book presents a broad overview of Transl. German: F. Blum, J. Schulenberg Plenty of examples and case studies utilize Math- this area. PhD students or researchers can read ematica 7’s newest tools, such as dynamic manipu- the entire book without any prior knowledge of ...This beautiful and eloquent text served to trans- lations and adaptive three-dimensional plotting. the field. form the graduate teaching of algebra, not only in Emphasizes the breadth of Mathematica and the Germany, but elsewhere in Europe and the United impressive results of combining techniques from 2009. XXII, 976 p. (Grundlehren der mathematischen States. It formulated clearly and succinctly the different areas. Whenever possible, the book Wissenschaften, Volume 338) Hardcover conceptual and structural insights which Noether shows how Mathematica can be used to discover ISBN 978-3-540-71049-3 had expressed so forcefully. This was combined new things. Striking examples include the design $159.00 7 with the elegance and understanding with which of a road on which a square wheel bike can ride, Artin had lectured...Its simple but austere style Yellow Sale Price the design of a drill that can drill square holes, and set the pattern for mathematical texts in other new and surprising formulas for p. Visualization is 7 $69.99 subjects, from Banach spaces to topological group emphasized throughout, with finely crafted graph- 9
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D. A. Wallace W. Wallis, Southern Illinois University, Carbondale, L. Wasserman, Carnegie Mellon University Dept. Groups, Rings and Fields IL, USA Statistics, Pittsburgh, PA, USA Mathematics in the Real World All of Statistics David Wallace has written a text on modern algebra which is suitable for a first course in the Mathematics in the Real World is a self-contained, A Concise Course in Statistical Inference subject given to mathematics undergraduates. It accessible introduction to the world of mathemat- Taken literally, the title “All of Statistics” is an aims to promote a feeling for the evolutionary and ics for non-technical majors. With a focus on exaggeration. But in spirit, the title is apt, as the historical development of algebra. It assumes some everyday applications and context, the topics in book does cover a much broader range of topics familiarity with complex numbers, matrices and this textbook build in difficulty and are presented than a typical introductory book on mathemati- linear algebra which are commonly taught during sequentially, starting with a brief review of sets cal statistics. This book is for people who want the first year of an undergraduate course. Each and numbers followed by an introduction to to learn probability and statistics quickly. It is chapter contains examples, exercises and solutions, elementary statistics, models, and graph theory. suitable for graduate or advanced undergraduate perfectly suited to aid self-study. All arguments in Data and identification numbers are then covered, students in computer science, mathematics, sta- the text are carefully crafted to promote under- providing the pathway to voting and finance. Each tistics, and related disciplines. The book includes standing and enjoyment for the reader. subject is covered in a concise and clear fashion modern topics like nonparametric curve estima- through the use of real-world applications and tion, bootstrapping, and clas sification, topics that 1st ed. 1998. Corr. 2nd printing 2001. VIII, 248 the introduction of relevant terminology. Many are usually relegated to follow-up courses. The pp. 15 figs. (Springer Undergraduate Mathematics sample problems – both writing exercises and reader is presumed to know calculus and a little Series) Softcover multiple-choice questions – are included to help linear algebra. ISBN 978-3-540-76177-8 develop students’ level of understanding and to 7 $49.95 offer a variety of options to instructors. 1st Corrected ed. 2004. Corr. 2nd printing 2004. XX, 442 p. (Springer Texts in Statistics) Hardcover Yellow Sale Price 2013. XV, 270 p. 205 illus. Hardcover ISBN 978-0-387-40272-7 7 $29.99 ISBN 978-1-4614-8528-5 7 $99.00 7 $49.99 9
W. Wallis, Southern Illinois University, Evansville, IN, F. W. Warner J. N. Webb USA Foundations of Differentiable Game Theory A Beginner’s Guide to Discrete Manifolds and Lie Groups Decisions, Interaction and Evolution Mathematics Foundations of Differentiable Manifolds and Lie The outstanding feature of the book is that it This second, updated edition of the admired intro- Groups gives a clear, detailed, and careful develop- provides a unified account of three types of deci- duction to discrete mathematics is a detailed guide ment of the basic facts on manifold theory and sion problem. It covers the basic ideas of decision both to the subject itself and to its relationship Lie Groups. It includes differentiable manifolds, theory, classical game theory, and evolutionary with other topics including set theory, probability, tensors and differentiable forms. Lie groups and game theory in one volume. cryptography, graph theory, and number theory. homogenous spaces, integration on manifolds, and in addition provides a proof of the de Rham theo- 2007. X, 242p. (Springer Undergraduate 2nd ed. 2012. XIII, 427p. 219 illus.. Hardcover rem via sheaf cohomology theory, and develops Mathematics Series) Softcover ISBN 978-0-8176-8285-9 the local theory of elliptic operators culminating ISBN 978-1-84628-423-6 7 $74.95 in a proof of the Hodge theorem. Those interested 7 $49.95 in any of the diverse areas of mathematics requir- Yellow Sale Price ing the notion of a differentiable manifold will Yellow Sale Price 7 $49.99 find this beginning graduate-level text extremely 7 $29.99 9
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E. Wegert, TU Bergakademie Freiberg, Freiberg, R. J. Wilson N. Woodhouse Germany Stamping through Mathematics Special Relativity Visual Complex Functions The astonishing variety and beauty of mathemati- Special relativity is one of the high points of the An Introduction with Phase Portraits cal elements in stamp design is brought to life undergraduate mathematical physics syllabus. in this collection of more than 350 stamps, each Nick Woodhouse writes for those approaching This book introduces the basic concepts of reproduced in enlarged format, in full color. With the subject with a background in mathematics: he complex analysis. It details how properties of a simple explantory text to accompany each stamp, aims to build on their familiarity with the founda- function are reflected in and can be recovered the book makes the perfect gift for students, teach- tional material and the way of thinking taught in from its phase portrait. The book features color ers, and anyone interested in the fascinating world first-year mathematics courses, but not to assume illustrations which reveal the beauty of complex of stamps, and mathematics. an unreasonable degree of prior knowledge of functions. traditional areas of physical applied mathemat- 2001. VIII, 126 p. Hardcover ics, particularly electromagnetic theory. His book 2012. XIV, 360 p. 231 illus., 202 illus. in color. ISBN 978-0-387-98949-5 provides mathematics students with the tools they Softcover 7 $32.95 need to understand the physical basis of special ISBN 978-3-0348-0179-9 relativity and leaves them with a confident math- $59.95 Yellow Sale Price 7 ematical understanding of Minkowski’s picture of 7 $24.99 Yellow Sale Price space-time. 7 $39.99 9
p. (Springer Undergraduate Mathematics Series) 9
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M. West, J. Harrison A. T. Winfree M. Wuethrich, H. Bühlmann, ETH Zurich Risklab, Switzerland, Zurich, Switzerland; H. Furrer, Bayesian Forecasting and The Geometry of Biological Eidgenössische Finanzmarktaufsicht FINMA, Bern, Dynamic Models Time Switzerland
This text is concerned with Bayesian learning, Dealing with dynamics of processes that repeat Market-Consistent Actuarial inference and forecasting in dynamic environ- themselves regularly, this revised and updated edi- Valuation ments. We describe the structure and theory of tion extends the thread from 1980 to the present classes of dynamic models and their uses in fore- day, concentrating on areas of interest where there This book introduces and explains the concept casting and time series analysis. The principles, will be much activity in the future. This involves of Valuation Portfolio. It covers life and non-life models and methods of Bayesian forecasting and going through spatial biochemical, electrophysi- insurance as well as financial risk. time-ries analysis have been developed extensively ological, and organismic dynamical systems and during the last thirty years. This development has patterns that were discovered by pursuing the 2nd ed. 2010. XI, 157p. (EAA Series) Softcover involved thorough investigation of mathematical theme of phase singularities introduced in the ISBN 978-3-642-14851-4 and statistical aspects of forecasting models and original book. In particular the work on excitabil- 7 $36.95 related techniques. With this has come experience ity in cell membranes will be thoroughly updated with applications in a variety of areas in com- as will the references throughout the book. Yellow Sale Price mercial, industrial, scientific, and socio-economic 7 $19.99 fields. 2nd ed. 2001. XXVI, 779 p. (Interdisciplinary Applied Mathematics, Volume 12) Hardcover 9
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M. V. Wüthrich, ETH Zurich RiskLab, Zurich, E. Zeidler, Max-Planck-Institut für Mathematik in den G. M. Ziegler, Freie Universität Berlin Institut für Switzerland; M. Merz, University of Hamburg Faculty Naturwissenschaften, Leipzig, Germany Mathematik, Berlin, Germany for Economic and Social Studies, Hamburg, Germany Nonlinear Functional Analysis Lectures on Polytopes Financial Modeling, Actuarial and its Applications Based on a graduate course at the Technische Valuation and Solvency in I: Fixed-Point Theorems Universität, Berlin, this book presents a wealth of material on the modern theory of convex Insurance Translated by: P. Wadsack polytopes. With linear algebra as a prerequisite, This book combines ideas from financial math- the text moves quickly from the basics to topics of ematics, actuarial sciences and economic theory to The greatest mathematicians, such as Archimedes, recent research. give a fully consistent framework for the analysis Newton, and Gauss, always united theory and of solvency questions. applications in equal measure. Felix Klein There Softcover reprint of the original 1st ed. 1995. exists the remarkable possibility that one can XI, 370p. 300 illus.. (Graduate Texts in Mathematics, 2013. XIV, 432 p. 100 illus., 2 illus. in color. (Springer master a subject mathemati cally, without really Volume 152) Softcover Finance) Hardcover understanding its essence. Albert Einstein Don’t ISBN 978-0-387-94365-7 ISBN 978-3-642-31391-2 give us numbers: give us insight! 7 $49.95 7 $99.00 Only available in print Yellow Sale Price Yellow Sale Price 7 $29.99 7 $69.99 1st ed. 1986. Corr. 3rd printing 1998. XXIII, 909 p. Hardcover 9
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J.‑Y. Yen, University of Cincinnati, Cincinnati, OH, W. Zeng, Florida International University, Miami, FL, V. A. Zorich, Moscow State University Dept. USA; M. Yor, Université Paris VI CNRS UMR 7599, Paris USA; X. D. Gu, State University of New York, Stony Mathematics & Mechanics, Moskva, Russia CX 05, France Brook, NY, USA Mathematical Analysis I Local Times and Excursion Ricci Flow for Shape Analysis Translated by: R. Cooke, University of Vermont Dept. Theory for Brownian Motion and Surface Registration Mathematics & Statistics, Burlington, VT, USA A Tale of Wiener and Itô Measures Theories, Algorithms and Applications This softcover edition of a very popular work This monograph discusses the existence and Ricci Flow for Shape Analysis and Surface Reg- presents a thorough first course in analysis, lead- regularity properties of local times associated to istration introduces the beautiful and profound ing from real numbers to such advanced topics as a continuous semimartingale, as well as excur- Ricci flow theory in a discrete setting. By using differential forms on manifolds, Fourier, Laplace, sion theory for Brownian paths. Realizations of basic tools in linear algebra and multivariate cal- and Legendre transforms, elliptic functions and Brownian excursion processes may be translated culus, readers can deduce all the major theorems distributions. in terms of the realizations of a Wiener process in surface Ricci flow by themselves. The authors Only available in print under certain conditions. With this aim in mind, adapt the Ricci flow theory to practical compu- the monograph presents applications to topics tational algorithms, apply Ricci flow for shape which are not usually treated with the same tools, analysis and surface registration, and demonstrate 2004. XVIII, 574 p. (Universitext) Hardcover e.g.: arc sine law, laws of functionals of Brownian the power of Ricci flow in many applications in ISBN 978-3-540-40386-9 motion, and the Feynman-Kac formula. medical imaging, computer graphics, computer 7 $69.95 vision and wireless sensor network. 2013. IX, 135 p. 9 illus., 8 illus. in color. (Lecture Notes Yellow Sale Price in Mathematics, Volume 2088) Softcover 2013. XI, 139 p. 69 illus., 49 illus. in color. 7 $39.99 ISBN 978-3-319-01269-8 (SpringerBriefs in Mathematics) Softcover 7 $49.99 ISBN 978-1-4614-8780-7 9
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