Mathematics springer.com/NEWSonline
J. Chaskalovic, Institut Jean le Rond d’Alembert, S. Chulkov, Ingosstrakh ONDD Credit Insurance, K. L. Chung, Stanford University, Stanford, CA, USA; University Pierre and Marie Curie, Paris, France; Moscow, Russia; A. Khovanskii, University of Toronto R. J. Williams, University of California at San Diego, O. H. Del Brutto, School of Medicine, Universidad Dept. Mathematics, Toronto, ON, Canada La Jolla, CA, USA Espiritu Santo - Ecuador, Guayaquil, Ecuador Geometry of the Semigroup Introduction to Stochastic Mathematical and Numerical Z_(≥0)^n and its Applications Integration Methods for Partial Differential to Combinatorics, Algebra and A highly readable introduction to stochastic inte- Equations Differential Equations gration and stochastic differential equations, this book combines developments of the basic theory Applications for Engineering Sciences Transl. English: S. Chulkov, Ingosstrakh ONDD Credit with applications. It is written in a style suitable Insurance, Moscow, Russia This self-tutorial offers a concise yet thorough for the text of a graduate course in stochastic introduction into the mathematical analysis of calculus, following a course in probability. Using approximation methods for partial differential Features the modern approach, the stochastic integral equation. A particular emphasis is put on finite 7 Unique collection of material on the top- is defined for predictable integrands and local element methods. The unique approach first sum- ic 7 Clear and as simple as possible presen- martingales; then It’s change of variable formula is marizes and outlines the finite-element mathemat- tation 7 Wide range of problems consid- developed for continuous martingales. Applica- ics in general and then in the second and major ered 7 Along with general theorems and tions include a characterization of Brownian part, formulates problem examples that clearly constructions their most important special cases motion, Hermite polynomials of martingales, the demonstrate the techniques of functional analysis are considered in detail Feynman–Kac functional and the Schrödinger via numerous and diverse exercises. equation. For Brownian motion, the topics of local Contents time, reflected Brownian motion, and time change Features I Geometry and combinatorics of semigroups.- 1 are discussed. 7 Self-learning and self-tutorial pedagogi- Elementary geometry of the semigroup Zn>0.- cal book 7 Provides students of engineering 2 Properties of an ordered semigroup.- 3 Hilbert Features disciplines and mathematics the mathematical functions and their analogues.- II Applications: 4 7 Affordable, softcover reprint of a classic text- basis of systems of partial differential equa- Kouchnirenko`s theorem on number of solu- book 7 Authors' exposition consistently chooses tions 7 Uses a unique teaching method which tions of a polynomial system of equations. On the clarity over brevity 7 Includes an expanded col- explains the analysis using exercises and detailed Grothendieck groups of the semigroup of finite lection of exercises from the first edition solutions 7 Enables active learning subsets of Zn and compact subsets of Rn.- 5 Dif- ferential Grobner bases and analytical theory of Contents Contents partial differential equations.- 6 On the Conver- 1 Preliminaries.- 2 Definition of the Stochastic Introduction to functional analytical methods of gence of Formal Solutions of a System of Partial Integral.- 3 Extension of the Predictable Inte- partial differential equations.- The finite element Differential Equations.- A Hilbert and Hilbert- grands.- 4 Quadratic Variation Process.- 5 The Ito method.- Variational Formulations of elliptic Samuel polynomials and Partial Differential Equa- Formula.- 6 Applications of the Ito Formula.- 7 boundary problems.- Finite Elements and dif- tions.- References Local Time and Tanaka’s Formula.- 8 Reflected ferential Introduction to functional analytical Brownian Motions.- 9 Generalization Ito Formula, methods of partial differential equations.- The Fields of interest Change of Time and Measure.- 10 Stochastic Dif- finite element method.- Variational Formulations Geometry; Algebra; Combinatorics ferential Equations.- References.- Index. of elliptic boundary problems. […] Target groups Field of interest Fields of interest Graduate Probability Theory and Stochastic Processes Numerical Analysis; Continuum Mechanics and Discount group Mechanics of Materials; Partial Differential Equa- Target groups tions Professional Non-Medical Research
Target groups Discount group Research Professional Non-Medical
Discount group Professional Non-Medical
Due November 2013 Due January 2014 Due October 2014 2nd ed. 2014. XVII, 277 p. 10 illus. (Modern 2014. XI, 329 p. 38 illus. Hardcover 2014. Approx. 120 p. 8 illus. Hardcover Birkhäuser Classics) Softcover 7 $79.99 7 $49.95 7 $69.99 ISBN9
H. M. Edwards, New York University, Courant M. Emmer, Sapienza University of Rome, Rome, Italy A. Freed, Saginaw Valley State University, Clifford H. Institute, New York, NY, USA (Ed) Spicer Endowed Chair, University Center, MI, USA Advanced Calculus Imagine Math 3 Soft Solids A Differential Forms Approach Between Culture and Mathematics A Primer to the Theoretical Mechanics of Materials In a book written for mathematicians, teachers Imagine mathematics, imagine with the help of of mathematics, and highly motivated students, mathematics, imagine new worlds, new geom- This textbook presents the physical principles Harold Edwards has taken a bold and unusual etries, new forms. This volume in the series pertinent to the mathematical modeling of soft approach to the presentation of advanced calculus. Imagine Math casts light on what is new and inter- materials used in engineering practice, including He begins with a lucid discussion of differential esting in the relationships between mathematics, both man-made materials and biological tissues. forms and quickly moves to the fundamental theo- imagination, and culture. It is intended for seniors and masters-level gradu- rems of calculus and Stokes’ theorem. The result is ate students in engineering, physics or applied Features genuine mathematics, both in spirit and content, mathematics. It will also be a valuable resource for and an exciting choice for an honors or graduate 7 A unique book with many papers on the vari- researchers working in mechanics, biomechanics course or indeed for any mathematician in need of ous aspects of mathematics and culture 7 Papers and other fields where the mechanical response of a refreshingly informal and flexible reintroduction by experts in different topics, with a relevant soft solids is relevant. Soft Solids: A Primer to the to the subject. For all these potential readers, the numbers of images 7 An interesting story that Theoretical Mechanics of Materials is divided into author has made the approach work in the best continues the series of math and culture two parts. tradition of creative mathematics. This afford- Contents able softcover reprint of the 1994 edition presents Features Science Fiction, Art and the Fourth Dimension.- the diverse set of topics from which advanced 7 Builds upon four experiments through each From Modernity to Immortality: Art and Math- calculus courses are created in beautiful unifying chapters and includes three additional unsolved ematics in the Twenties.- Geometrical Models and generalization. The author emphasizes the use experiments 7 Presents a superior new theory Imaginations.- From Sinisgalli to Hiroshi Sugi- of differential forms in linear algebra, implicit of non-linear elasticity describing soft tissues moto.- Mathematical Narratives and the Surrealist differentiation in higher dimensions using the and synthetic elastomers 7 Viscoelasticity is Tradition.- Anxious Geometries.- Pasta By Design: calculus of differential forms, and the method of presented from a physics perspective The New Geometries of Pasta.- Photos, Objects Lagrange multipliers in a general but easy-to-use and 3D Reconstructions.- Geometry, Numbers formulation. Contents & Diagrams in the New York Art Scene around Part I: Continuum Fields.- 1 Kinematics.- 2 Defor- Features 1960.- The Islands of Benoît Mandelbrot: On the mation.- 3 Strain.-4 Stress.- Part II: Constitutive 7 Affordable reprint of a classic textbookPresents relationship between abstract reasoning and visual Equations.- 5 Explicit Elasticity.-6 Implicit Elastic- advanced calculus using the theory of differential imagination.- Fractals and Nervous System.- New ity.- 7 Viscoelasticity.- Appendices.- A Linear forms 7 Makes modern mathematics accessible Mathematics and Architecture.- In search of the Algebra.- B Covariant and Contravariant Issues: to students via physical intuition and applications Lost Roots.- Probabilities and Traps of Intuition.- Configuration Physics.- C Kronecker Prod- Sand grains and Earthquakes.- Henry Moore and ucts.- D General Linear ODE Solver.- E Solver for Contents Strings.- Fluid Architecture.- Sagrada Familia.- Convolution Integrals.- F Solver for the Mittag- Constant Forms.- Integrals.- Integration and Fragmens of an Existentialist Mathematics.- Liv- Leer Function.- Bibliography.- Index. Differentiation.- Linear Algebra.- Differential ing numbers Calculus.- Integral Calculus.- Practical Methods of Fields of interest Solution.- Applications.- Further Study of Limits.- Fields of interest Functional Analysis; Soft and Granular Matter, Appendices.- Answers to Exercises.- Index. Mathematics in Art and Architecture; Mathemat- Complex Fluids and Microfluidics; Mathematical ics Education; Popular Science in Mathematics/ Applications in the Physical Sciences Fields of interest Computer Science/Natural Science/Technology Analysis; Functional Analysis; Real Functions Target groups Target groups Graduate Target groups Upper undergraduate Research Discount group Discount group Professional Non-Medical Discount group Professional Non-Medical Professional Non-Medical
Due November 2013
Originally published by Houghton Mifflin Company, Due February 2014 Boston, 1969 Due March 2014 2014. XLI, 353 p. 57 illus., 1 in color. (Modeling and 2014. XIX, 508 p. 102 illus. (Modern Birkhäuser Simulation in Science, Engineering and Technology) Classics) Softcover 2014. X, 270 p. 50 illus. Hardcover Hardcover 7 $89.99 7 approx. $89.99 7 $79.99 9
L. Fridman, Universidad Nacional Autonoma De M. A. Goberna, M. A. López, University of Alicante, S. Hencl, Charles University, Prague 8, Czech Mexico, México City, Mexico; A. Poznyak, Centro de Alicante, Spain Republic; P. Koskela, University of Jyväskylä, Investigacion y Estudios Avanzados, México City, Post-Optimal Analysis in Linear Jyväskylä, Finland Mexico; F. J. Bejarano Rodríguez, ESIME Ticomán, Lectures on Mappings of Finite Instituto Politecnico Nacional, México City, Mexico Semi-Infinite Optimization Distortion Robust Ouput LQ Optimal Post-Optimal Analysis in Linear Semi-Infinite Control via Integral Sliding Optimization examines the following topics in In this book we introduce the class of mappings regards to linear semi-infinite optimization: of finite distortion as a generalization of the class Modes modeling uncertainty, qualitative stability analysis, of mappings of bounded distortion. Connections quantitative stability analysis and sensitivity with models of nonlinear elasticity are also dis- In the theory of optimal control, the linear qua- analysis. Linear semi-infinite optimization (LSIO) cussed. We study continuity properties, behavior dratic (LQ) optimal problem plays an important deals with linear optimization problems where the of our mappings on null sets, topological proper- role due to its physical meaning, and its solution is dimension of the decision space or the number of ties like openness and discreteness, regularity of easily given by an algebraic Riccati equation. constraints is infinite. The authors compare the the potential inverse mappings and many other Features post-optimal analysis with alternative approaches aspects. to uncertain LSIO problems and provide read- 7 New approach used, with many design tech- Features niques unique to this book 7 Minimal prerequi- ers with criteria to choose the best way to model 7 Self-contained introduction to an active, sites: only a basic course in linear systems theory a given uncertain LSIO problem depending on important and interesting field of research 7 In- is needed 7 For a broad audience of graduate the nature and quality of the data along with the cludes an Appendix with several basic results on students, practitioners, and researchers in engi- available software. This work also contains open Real Analysis, theory of Sobolev functions and neering, mathematics, and optimal control theory problems which readers will find intriguing a challenging. Geometric Measure Theory 7 Suitable for any Contents PhD student looking for an introduction to the 1 Introduction.- Part I OPTIMAL CONTROL Features subject 7 Depicts modeling uncertainty, qualitative AND SLIDING MODE.- 2 Integral Sliding Mode Contents Control.- 3 Observer Based on ISM.- 4 Output stability analysis, quantitative stability analysis and Introduction.- Continuity.- Openness and Integral Sliding Mode Based Control.- Part II sensitivity analysis in relation to linear semi-infi- discreteness.- Images and preimages of null sets.- MINI-MAX OUTPUT ROBUST LQ CONTROL.- nite optimization 7 Emphasizes main concepts, Homeomorphisms of finite distortion.- Integrabil- 5 The Robust Maximum Principle.- 16 Multimodel results and technical aspects of linear semi-infinite ity of Jf and 1/Jf.- Final comments.- Appendix.- and ISM Control.- 7 Multiplant and ISM Output optimization to readers in various fields 7 Con- References. Control.- Part III PRACTICAL EXAMPLES.- 8 tains recent results on the emerging quantitative stability and sensitivity theories Fault Detection.- 9 Stewart Platform.- 10 Magnetic Fields of interest Bearing.- Part IV APPENDIXES.- A Sliding Contents Analysis; Functions of a Complex Variable; Func- Modes and Equivalent Control Concept.- B Min- 1. Preliminaries on Linear Semi-Infinite Optimiza- tional Analysis Max Multimodel LQ Control.- Notations.- Refer- tion.- 2. Modeling uncertain Linear Semi-Infinite ences.- Index. Target groups Optimization problems.- 3. Robust Linear Semi- Research Fields of interest infinite Optimization.- 4. Sensitivity analysis.- 5. Systems Theory, Control; Control; Calculus of Qualitative stability analysis.- 6. Quantitative Discount group Variations and Optimal Control; Optimization stability analysis. Professional Non-Medical Target groups Fields of interest Professional/practitioner Operations Research, Management Science; Mod- els and Principles; Programming Techniques Discount group Professional Non-Medical Target groups Research
Discount group Professional Non-Medical
Due January 2014 Due January 2014 Due January 2014
2014. XV, 146 p. 40 illus., 34 in color. (Systems & 2014. VI, 119 p. 26 illus., 21 in color. (SpringerBriefs in 2014. X, 158 p. 4 illus. (Lecture Notes in Mathematics, Control: Foundations & Applications) Hardcover Optimization) Softcover Volume 2096) Softcover 7 approx. $109.00 7 $54.99 7 $49.99 9
T. Kaiser, Universität Passau Fakultät f.Informatik P. E. Kloeden, Goethe University, Frankfurt am Main, V. Korolyuk, National Academy of Sciences of u.Mathematik, Passau, Germany; M. Knebusch, Germany; C. Poetzsche, Alpen-Adria University, Ukraine, Kyiv, Ukraine; N. Limnios, Université de Universität Regensburg Fak. Naturwissenschaft I, Klagenfurt, Austria (Eds) Technologie de Compiègne, Compiegne Cedex, Regensburg, Germany Nonautonomous Dynamical France; Y. Mishura, L. Sakhno, G. Shevchenko, Taras Manis Valuations and Prüfer Shevchenko National University of Kyiv, Kyiv, Ukraine Systems in the Life Sciences (Eds) Extensions II Nonautonomous dynamics describes the qualita- Modern Stochastics and This volume is a sequel to “Manis Valuation and tive behavior of evolutionary differential and Applications Prüfer Extensions I,” LNM1791. The Prüfer exten- difference equations, whose right-hand side is sions of a commutative ring A are roughly those explicitly time dependent. Over recent years, the Contents commutative ring extensions R / A, where com- theory of such systems has developed into a highly Part I: Probability Distributions in Applications.- mutative algebra is governed by Manis valuations active field related to, yet recognizably distinct Comparing Brownian stochastic integrals for on R with integral values on A. These valuations from that of classical autonomous dynamical the convex order (Yor, Hirsch).- Application of then turn out to belong to the particularly ame- systems. This development was motivated by φ-sub-Gaussian random processes in queueing nable subclass of PM (=Prüfer-Manis) valuations. problems of applied mathematics, in particular in theory (Kozachenko, Yamnenko).- A review on While in Volume I Prüfer extensions in general the life sciences where genuinely nonautonomous time-changed pseudo processes and the related and individual PM valuations were studied, now systems abound. distributions (Orsingher).- Reciprocal processes: the focus is on families of PM valuations. One a stochastic analysis approach (Roelly). Part II: highlight is the presentation of a very general and Features Stochastic Equations.- Probabilistic counterparts deep approximation theorem for PM valuations, 7 Overview of recent developments in the theory of nonlinear parabolic PDE systems (Belopols- going back to Joachim Gräter’s work in 1980, of nonautonomous dynamical systems 7 Ex- kaya).- Finite-time blowup and existence of global a far-reaching extension of the classical weak amples of concepts and techniques in the context positive solutions of semilinear SPDE’s with approximation theorem in arithmetic. Another of simple models from the life sciences 7 Repre- fractional noise (Dozzi, Kolkovska, López-Mim- highlight is a theory of so called “Kronecker sentative collection of nonautonomous dynamical bela).- Hydrodynamics and SDE with Sobolev extensions,” where PM valuations are put to use in systems in the life sciences coefficients (Fang).- Elementary pathwise methods arbitrary commutative ring extensions in a way for non-linear parabolic and transport type SPDE Contents that ultimately goes back to the work of Leopold with fractal noise (Hinz, Issoglio, Zähle).- SPDE’s Nonautonomous dynamical systems in the life sci- Kronecker. driven by general stochastic measures (Rad- ences.- Random dynamical systems with inputs.- chenko). Part III: Limit Theorems.- Exponential Canard theory and excitability.- Stimulus-response Contents convergence of multi-dimensional stochastic reliability of biological networks.- Coupled nonau- Overrings and PM-Spectra.- Approximation mechanical systems with switching (Anulova, tonomous oscillators.- Multisite mechanisms for Theorems.- Kronecker extensions and star opera- Veretennikov).- Asymptotic behaviour of the ultrasensitivity in signal transduction.- Mathemat- tions.- Basics on Manis valuations and Prufer distribution density of the fractional Lévy motion ical concepts in pharmacokinetics and pharmaco- extensions.- Multiplicative ideal theory.- PM-val- (Kulik, Knopova).-Large deviations for random dynamics with application to tumor growth.- Viral uations and valuations of weaker type.- Overrings evolutions in the scheme of asymptotically small kinetic modeling of chronic hepatitis C and B and PM-Spectra.- Approximation Theorems.- diffusion (Koroliuk, Samoilenko).- Limit theorems infection.- Some classes of stochastic differential Kronecker extensions and star operations.- Ap- for excursion sets of stationary random fields equations as an alternative modeling approach to pendix.- References.- Index. (Spodarev). Part IV: Finance and Risk. [...] biomedical problems. Field of interest Fields of interest Fields of interest Commutative Rings and Algebras Calculus of Variations and Optimal Control; Dynamical Systems and Ergodic Theory; Math- Optimization; Probability Theory and Stochastic Target groups ematical and Computational Biology; Genetics Processes; Linear and Multilinear Algebras, Matrix Research and Population Dynamics Theory Discount group Target groups Target groups Professional Non-Medical Research Research Discount group Discount group Professional Non-Medical Professional Non-Medical
Due December 2013 Due January 2014 Due January 2014 2014. X, 310 p. 66 illus., 31 in color. (Lecture Notes in 2014. VIII, 332 p. 2 illus., 1 in color. (Springer 2014. X, 188 p. (Lecture Notes in Mathematics, Mathematics / Mathematical Biosciences Subseries, Optimization and Its Applications, Volume 90) Volume 2103) Softcover Volume 2102) Softcover Hardcover 7 $49.99 7 $89.99 7 $129.00 9
R. Kress, Georg-August-Universität Göttingen T. Kumagai, Kyoto University, Kyoto, Japan P. D. Lax, New York University Department of Institut fuer Numerische und Angewandte, Mathematics, New York, NY, USA Göttingen, Germany Random Walks on Disordered P. Sarnak, Princeton University Inst. Advanced Study, Media and their Scaling Limits Princeton, NJ, USA; A. J. Majda, New York University Linear Integral Equations Department of Mathematics, New York, NY, USA (Eds) École d’Été de Probabilités de Saint-Flour This book combines theory, applications, and XL - 2010 Selected Papers I numerical methods, and covers each of these fields with the same weight. In order to make the In these lecture notes, we will analyze the behavior A renowned mathematician who considers him- book accessible to mathematicians, physicists, of random walk on disordered media by means self both applied and theoretical in his approach, and engineers alike, the author has made it as self- of both probabilistic and analytic methods, and Peter Lax has spent most of his professional career contained as possible, requiring only a solid foun- will study the scaling limits. We will focus on the at NYU, making significant contributions to both dation in differential and integral calculus. The discrete potential theory and how the theory is mathematics and computing. He has written sev- functional analysis which is necessary for an ad- effectively used in the analysis of disordered me- eral important published works and has received equate treatment of the theory and the numerical dia. The first few chapters of the notes can be used numerous honors including the National Medal of solution of integral equations is developed within as an introduction to discrete potential theory. Science, the Lester R. Ford Award, the Chauvenet the book itself. Problems are included at the end Recently, there has been significant progress on Prize, the Semmelweis Medal, the Wiener Prize, of each chapter. For this third edition in order the theory of random walk on disordered media and the Wolf Prize. Several students he has to make the introduction to the basic functional such as fractals and random media. Random walk mentored have become leaders in their fields. Two analytic tools more complete the Hahn–Banach on a percolation cluster(‘the ant in the labyrinth’) volumes span the years from 1952 up until 1999, extension theorem and the Banach open mapping is one of the typical examples. In 1986, H. Kesten and cover many varying topics, from functional theorem are now included in the text. showed the anomalous behavior of a random walk analysis, partial differential equations, and nu- on a percolation cluster at critical probability. merical methods to conservation laws, integrable Features systems and scattering theory. After each paper, 7 Complete basis in functional analysis including Features or collection of papers, is a commentary placing the Hahn-Banach and the open mapping theo- 7 Starts from basics on discrete potential the paper in context and where relevant discussing rem 7 More on boundary integral equations in theory 7 Contains many interesting examples of more recent developments. Many of the papers in Sobolev spaces 7 New developements in colloca- disordered media with anomalous heat conduc- these volumes have become classics and should tion methods via trigononmetric polynomials tion 7 Anomalous behavior of random walk at be read by any serious student of these topics. In criticality on random media 7 Contains recent terms of insight, depth, and breadth, Lax has Contents developments on random conductance models few equals. The reader of this selecta will quickly Normed Spaces.- Bounded and Compact Opera- appreciate his brilliance as well as his masterful tors.- Riesz Theory.- Dual Systems and Fredholm Contents touch. Alternative.- Regularization in Dual Systems.- Introduction.- Weighted graphs and the associated Potential Theory.- Singular Integral Equations.- Markov chains.- Heat kernel estimates – General Contents Sobolev Spaces.- The Heat Equation.- Operator theory.- Heat kernel estimates using effective resis- Preface.- Table of Contents.- List of Publica- Approximations .-Degenerate Kernel Approxima- tance.- Heat kernel estimates for random weighted tions.- Partial Differential Equations.- Difference tion.- Quadrature Methods.- Projection Methods.- graphs.- Alexander-Orbach conjecture holds when Approximations to PDE.- Hyperbolic Systems of Iterative Solution and Stability.- Equations of the two-point functions behave nicely.- Further results Conservation Laws.- Integrable Systems.- Inte- First Kind.- Tikhonov Regularization.- Regulariza- for random walk on IIC.- Random conductance grable Systems. tion by Discretization.- Inverse Boundary Value model. Problems.- References.- Index. Fields of interest Fields of interest Analysis; Abstract Harmonic Analysis; Difference Fields of interest Probability Theory and Stochastic Processes; and Functional Equations Analysis; Numerical Analysis; Measure and Mathematical Physics; Potential Theory Integration Target groups Target groups Research Target groups Research Graduate Discount group Discount group Professional Non-Medical Discount group Professional Non-Medical Professional Non-Medical
Due November 2013 Due January 2014 Due January 2014 Only available in print 2014. X, 134 p. 5 illus. (Lecture Notes in Mathematics 3rd ed. 2014. X, 426 p. 1 illus. (Applied Mathematical / École d’Été de Probabilités de Saint-Flour, Volume 2005. Reprint 2013 of the 2005 edition. XX, 620 p. Sciences, Volume 82) Hardcover 2101) Softcover (Springer Collected Works in Mathematics) Softcover 7 $79.99 7 $49.99 7 $79.99 ISBN9
P. D. Lax, New York University Department of J. Leray, Heidelberg, Germany C. Parés, Universidad de Malaga, Malaga, Spain; Mathematics, New York, NY, USA P. Malliavin, Paris CX, France (Ed) C. Vazquez Cendon, Universidad de La coruna, P. Sarnak, Princeton University Inst. Advanced Study, La Coruna, Spain; F. Coquel, CNRS and Ecole Princeton, NJ, USA; A. J. Majda, New York University Selected Papers - Oeuvres Polytechnique, Paris, France (Eds) Department of Mathematics, New York, NY, USA (Eds) Scientifiques I Advances in Numerical Selected Papers II Introduction by: A. Borel Simulation in Physics and A renowned mathematician who considers him- Jean Leray (1906-1998) was one of the great Engineering self both applied and theoretical in his approach, French mathematicians of his century. His life’s Lecture Notes of the XV ‘Jacques-Louis Lions’ Peter Lax has spent most of his professional career work divides into 3 major areas, reflected in these Spanish-French School at NYU, making significant contributions to both 3 volumes. Volume I, to which an Introduction mathematics and computing. He has written sev- has been contributed by A. Borel, covers Leray’s Contents eral important published works and has received seminal work in algebraic topology, where he numerous honors including the National Medal of 1 Begona Calvo and Estefania Pena: Fundamental created sheaf theory and discovered the spectral aspects in modeling the constitutive behaviour of Science, the Lester R. Ford Award, the Chauvenet sequences. Volume II, with an introduction by Prize, the Semmelweis Medal, the Wiener Prize, the fibered soft tissues.- 2 Enrique D. Fernandez P. Lax, covers fluid mechanics and PDE: Leray Nieto: Some remarks on avalanche modeling. An and the Wolf Prize. Several students he has men- demonstrated the existence of the infinite-time tored have become leaders in their fields. Two vol- introduction to shallow flow models.- 3 Em- extension of weak solutions of the Navier-Stokes manuel Gobet: Introduction to stochastic calculus umes span the years from 1952 up until 1999, and equations; 60 years later this profound work has cover many varying topics, from functional analy- and to the resolution of PDEs using Monte Carlo retained all its impact. Volume III, on the theory simulations.- 4 Philippe G. LeFloch: Structure- sis, partial differential equations, and numerical of several complex variables, has a long introduc- methods to conservation laws, integrable systems perserving shock-capturing methods and applica- tion by G. Henkin. Leray’s work on the ramified tions.- 5 Carlos Castro: Numerical approximation and scattering theory. After each paper, or collec- Cauchy problem will stand for centuries alongside tion of papers, is a commentary placing the paper of optimal design problems in aerodynamics. the Cauchy-Kovalevska theorem for the un- From the mathematical analysis to industrial in context and where relevant discussing more ramified case. He was awarded the Malaxa Prize recent developments. Many of the papers in these codes.- 6 Michel Langlais: A further multiscale (1938), the Grand Prix in mathematical sciences problem: spatio-temporal spread of an airborne volumes have become classics and should be read (1940), the Feltrinelli Prize (1971), the Wolf Prize by any serious student of these topics. In terms of plant pathogen though a highly antrophized in Mathematics (1979), and the Lomonosov Gold nad sapatially structured crop system.- 7 Fabien insight, depth, and breadth, Lax has few equals. Medal (1988). The reader of this selecta will quickly appreciate Mangeant: Statistical learning and computer his brilliance as well as his masterful touch. Contents experiment for uncertainty management in Jean Leray: Selected Papers - Oeuvres Scienti- Engeneering.- 8 Emanuelle Schiavi: Medical image Contents fiques.- Vol. 1: Topology and Fixed Point Theo- processing: mathematical modeling and numeri- List of Publications.- Acknowledgment.- Scat- rems with an Introduction by Armand Borel.- Vol. cal resolution.- 9 Denis Talay: On probabilistic tering Theory in Euclidean Space.- Scattering 2: Fluid Dynamics and Real Partial Differential approaches for divergence from operators with Theory for Automorphic Functions.- Functional Equations with an Introduction by Peter Lax.- Vol. discontinuos coefficient. Analysis.- Analysis.- Algebra. 3: Several Complex Variables and Holomorphic Fields of interest Fields of interest Partial Differential Equations with an Introduction Mathematical Modeling and Industrial Mathemat- by Guennadi Henkin. Analysis; Abstract Harmonic Analysis; Difference ics; Computational Mathematics and Numerical and Functional Equations Fields of interest Analysis; Partial Differential Equations Target groups Algebraic Topology; Partial Differential Equations; Target groups Several Complex Variables and Analytic Spaces Research Graduate Target groups Discount group Discount group Research Professional Non-Medical Professional Non-Medical Discount group Professional Non-Medical
Due December 2013
Jointly published with the collaboration of the Due November 2013 Société Mathématique de France, France
Only available in print Only available in print Due April 2014
2005. Reprint 2013 of the 2005 edition. XVIII, 592 p. 1998. Reprint 2013 of the 1998 edition. X, 508 p. 2014. Approx. 250 p. 55 illus., 15 in color. (SEMA (Springer Collected Works in Mathematics) Softcover (Springer Collected Works in Mathematics) Softcover SIMAI Springer Series, Volume 3) Hardcover 7 $79.99 7 approx. $89.99 7 approx. $129.00 9
S. I. Resnick, Cornell University, Ithaca, NY, USA M. E. Schmidt, University of Göttingen, Göttingen, A. Soifer, University of Colorado at Colorado Springs, A Probability Path Germany Colorado Springs, CO, USA Integrating Routing Decisions Life and Fate: In Search of van Many probability books are written by mathemati- cians and have the built-in bias that the reader in Public Transportation der Waerden is assumed to be a mathematician coming to the Problems Bartel Leendert van der Waerden was a distin- material for its beauty. This textbook is geared guished algebraist, physicist, statistician, historian, towards beginning graduate students from a This book treats three planning problems arising author, and above all one of the leading algebraic variety of disciplines whose primary focus is not in public railway transportation planning: line geometers of his time. He made major contribu- necessarily mathematics for its own sake. Instead, planning, timetabling, and delay management, tions to algebraic geometry, abstract algebra, A Probability Path is designed for those requir- with the objective to minimize passengers’ travel quantum mechanics, and other fields. He liberally ing a deep understanding of advanced probability time. While many optimization approaches sim- published on the history of mathematics. Among for their research in statistics, applied probability, plify these problems by assuming that passengers’ the many books he wrote, the 2-volume work biology, operations research, mathematical finance route choice is independent of the solution, this “Moderne Algebra” is one of the most influential and engineering. A one-semester course is laid out book focuses on models which take into account and popular mathematical books ever written. in an efficient and readable manner covering the that passengers will adapt their travel route to the It is therefore surprising that no monograph has core material. The first three chapters provide a implemented planning solution. That is, a plan- been dedicated to his life and work. B.L. van der functioning knowledge of measure theory. ning solution and passengers’ routes are deter- Waerden is not an easy person to understand. In mined and evaluated simultaneously. Features attempting to understand his life, the author as- 7 Affordable, softcover reprint of a classic Features sembled thousands of documents from numerous textbook 7 Mathematically rigorous treatment 7 Provides insight into which factors influence archives in Germany, the Netherlands, Switzerland aimed at non-mathematicians 7 Includes a clear public transportation problems via extensive com- and the United States which revealed fascinating outline for a one-semester course plexity analysis 7 Contains a new model for cus- and often surprising new information about van tomer-oriented public transportation problems, der Waerden. Soifer traces van der Waerden’s early Contents resulting in more objective solutions 7 Provides years in a family of great Dutch public servants 1 Sets and Events.- 2 Probability Spaces.- 3 Ran- a framework in which methods for optimization and his time as professor in Leipzig during the en- dom Variables, Elements and Measurable and routing can be combined to solve network tire Nazi period. We encounter heroes and villains Maps.- 4 Independence.- 5 Integration and problems with integrated routing 7 Presents and a much more numerous group in between Expectation.- 6 Convergence Concepts.- 7 Laws exact integer programming approaches as well as a these two extremes. of Large Numbers and Sums of Independent heuristic approach which alternates traffic assign- Features Random Variables.- 8 Convergence in Distribu- ment and optimization steps tion.- 9 Characteristic Functions and the Central 7 First monograph on van der Waerden's life and Limit Theorem.- 10 Martingales.- Index.- Refer- Contents work 7 Written by a lively storyteller 7 New ences. 1. Introduction.- 2. Line Planning.- 3. Timeta- research and details on van der Waerden bling.- 4. Delay Management.- 5. An Iterative Contents Fields of interest Solution Approach for General Network Problems Preface.- Greetings to the Reader.- The Early Probability Theory and Stochastic Processes; Ap- with Routing.- 6. Conclusions and Outlook.- Fre- Years.- The Nazi Leipzig.- The Post-War Amster- plications of Mathematics; Operations Research, quently Used Notation.- References.- Index. Management Science dam.- The Unsettling Years.- Summing Up.- Ap- Fields of interest pendix: Two Lives Between Two Wars: Issai Schur Target groups Operations Research, Management Science; Civil and Pierre Joseph Henry Baudet. Research Engineering; Algorithm Analysis and Problem Field of interest Complexity Discount group History of Mathematical Sciences Professional Non-Medical Target groups Target groups Research Research Discount group Discount group Professional Non-Medical Professional Non-Medical
Due November 2013 Due January 2014 Due July 2014 2014. XIV, 453 p. 11 illus. (Modern Birkhäuser 2014. XII, 200 p. 23 illus. (Springer Optimization and Classics) Softcover Its Applications, Volume 89) Hardcover 2014. Approx. 350 p. 50 illus. Hardcover 7 $79.99 7 $109.00 7 approx. $129.00 9
J. Xin, University of California, Irvine Dept. Mathematics, Irvine, CA, USA; Y. Qi, University of California, Irvine, Irvine, CA, USA Mathematical Modeling and Signal Processing in Speech and Hearing Sciences
The aim of the book is to give an accessible introduction of mathematical models and signal processing methods in speech and hearing sci- ences for senior undergraduate and beginning graduate students with basic knowledge of linear algebra, differential equations, numerical analysis, and probability.
Features 7 User friendly and systematic introduction to mathematical models in speech and hearing sciences 7 Step by step analysis of models and computational methods from numerical analysis, signal processing and statistics 7 Connect math- ematics and computation with speech/hearing phenomena and signal processing 7 Hands-on MATLAB programs to simulate models and ana- lyze data, results come quickly (most of them in seconds) for seeing and hearing, directly enhanc- ing learning experience
Contents 1 Background Signal Processing, Statistical and Optimization Methods.- 2 Speech Modeling.- 3 Auditory Modeling.- 4 Speech Recognition.- 5 Blind Source Separation and Speech Enhance- ment.
Fields of interest Applications of Mathematics; Statistics for Engi- neering, Physics, Computer Science, Chemistry and Earth Sciences; Math Applications in Com- puter Science
Target groups Upper undergraduate
Discount group Professional Non-Medical
Due December 2013
2014. XII, 208 p. (MS&A, Volume 10) Hardcover 7 $109.00 9