Mathematics Cover Title Pub'd Price (net) Pook, Les

Serious Fun with Flexagons A Compendium and Guide

A flexagon is a motion structure that has the appearance of a ring of hinged polygons. It can be flexed to display different pairs of faces, usually in cyclic order. Flexagons can be appreciated as toys or puzzles, as a recreational mathematics topic, and as the subject of serious mathematical study. Workable paper models of flexagons are easy to make and entertaining to manipulate. The mathematics of flexagons is complex, and how a flexagon works is not immediately obvious on examination of a paper model. Recent geometric analysis, included in the book, has improved theoretical understanding of flexagons, especially relationships between different types. ⁄ 99,95 Aug-09 £ 89,99 This profusely illustrated book is arranged in a logical order appropriate for a textbook on the geometry of flexagons. It is written so that it can be enjoyed at both the recreational mathematics level, and at the serious mathematics level. The only prerequisite is some knowledge of elementary geometry, including properties of polygons. A feature of the book is a compendium of over 100 nets for making paper models of some of the more interesting flexagons, chosen to complement the text. These are accurately drawn and reproduced at half full size. Many of the nets have not previously been published. Instructions for assembling and manipulating the flexagons are included. (Series: Solid Mechanics and Its Applications)

2009, XV, 329 p., Hardcover ISBN: 978-90-481-2502-9 Luong, Bao

Fourier Analysis on Finite Abelian Groups

Fourier analysis has been the inspiration for a technological wave of advances in fields such as imaging processing, financial modeling, algorithms and sequence design. This unified, self-contained book examines the mathematical tools used for decomposing and analyzing functions, specifically, the application of the [discrete] Fourier transform to finite Abelian groups.

With countless examples and unique exercise sets at the end of each section, Fourier Analysis on Finite Abelian Groups is a perfect companion to a first course in Fourier analysis. The first chapter provides the fundamental material that is a strong foundation for all subsequent chapters. Special topics including: ⁄ 49,95 Aug-09 * Computing Eigenvalues of the Fourier transform £ 44,99

* Applications to Banach algebras

* Tensor decompositions of the Fourier transform

* Quadratic Gaussian sums.

This book introduces mathematics students to subjects that are within their reach, but it also has powerful applications that may appeal to advanced researchers and mathematicians. The only prerequisites necessary are group theory, linear algebra, and complex analysis.

(Series: Applied and Numerical Harmonic Analysis)

2009, XVI, 160 p. 2 illus., Hardcover ISBN: 978-0-8176-4915-9

SPRINGER TITLES IN: MATHEMATICS PAGE 1 OF 5 Shonkwiler, Ronald W.; Mendivil, Franklin

Explorations in Monte Carlo Methods

Monte Carlo methods are among the most used and useful computational tools available today, providing efficient and practical algorithims to solve a wide range of scientific and engineering problems.

Explorations in Monte Carlo Methods provides a hands-on approach to learning this subject. Each new idea is carefully motivated by a realistic problem, thus leading from questions to theory via examples and numerical simulations. Programming exercises are integrated throughout the text as the primary vehicle for learning the material. Each ⁄ 49,95 chapter ends with a large collection of problems illustrating and directing the material. Aug-09 £ 44,99

This book is suitable as a textbook for students of engineering and the sciences, as well as mathematics. The problem-oriented approach makes it ideal for an applied course in basic probability and for a more specialized course in Monte Carlo methods. Topics include probability distributions, counting combinatorial objects, simulated annealing, genetic algorithms, option pricing, gamblers ruin, statistical mechanics, sampling, and random number generation.

(Series: Undergraduate Texts in Mathematics)

2009, XII, 244 p. 50 illus., Hardcover ISBN: 978-0-387-87836-2 Bot, Radu Ioan; Grad, Sorin-Mihai; Wanka, Gert

Duality in Vector Optimization

This book presents fundamentals and comprehensive results regarding duality for scalar, vector and set-valued optimization problems in a general setting. After a preliminary chapter dedicated to convex analysis and minimality notions of sets with respect to partial orderings induced by convex cones a chapter on scalar conjugate duality follows. Then investigations on vector duality based on scalar conjugacy are ⁄ 129,95 made. Weak, strong and converse duality statements are delivered and connections to Aug-09 classical results from the literature are emphasized. One chapter is exclusively £ 117,00 consecrated to the scalar and vector Wolfe and Mond-Weir duality schemes. The monograph is closed with extensive considerations concerning conjugate duality for set- valued optimization problems.

(Series: Vector Optimization)

2009, XV, 400 p., Hardcover ISBN: 978-3-642-02885-4 Mucherino, Antonio; Papajorgji, Petraq J.; Pardalos, Panos M.

Data Mining in Agriculture

Data Mining in Agriculture represents a comprehensive effort to provide graduate students and researchers with an analytical text on data mining techniques applied to agriculture and environmental related fields. This book presents both theoretical and practical insights with a focus on presenting the context of each data mining technique rather intuitively with ample concrete examples represented graphically and with ⁄ 49,95 Aug-09 algorithms written in Matlab®. Examples and exercises with solutions are provided at £ 44,99 the end of each chapter to facilitate the comprehension of the material. For each data mining technique described in the book variants and improvements of the basic algorithm are also given.

(Series: Springer Optimization and Its Applications)

2009, XVIII, 274 p. 92 illus., Hardcover ISBN: 978-0-387-88614-5

SPRINGER TITLES IN: MATHEMATICS PAGE 2 OF 5 Bradley, Robert E.; Sandifer, C. Edward

Cauchy’s Cours d’analyse An Annotated Translation

In 1821, Augustin-Louis Cauchy (1789-1857) published a textbook, the Cours d’analyse, to accompany his course in analysis at the Ecole Polytechnique. It is one of the most influential mathematics books ever written. Not only did Cauchy provide a workable definition of limits and a means to make them the basis of a rigorous theory of calculus, but he also revitalized the idea that all mathematics could be set on such ⁄ 109,95 rigorous foundations. Today, the quality of a work of mathematics is judged in part on Aug-09 the quality of its rigor, and this standard is largely due to the transformation brought £ 99,00 about by Cauchy and the Cours d’analyse.

For this translation, the authors have also added commentary, notes, references, and an index.

(Series: Sources and Studies in the History of Mathematics and Physical Sciences)

2009, XX, 412 p. 1 illus. in color., Hardcover ISBN: 978-1-4419-0548-2 Aleman, Alexandru; Feldman, Nathan S.; Ross, William T.

The Hardy Space of a Slit Domain

The book begins with an exposition of Hardy spaces of slit domains and then proceeds to several descriptions of the invariant subspaces of the operator multiplication by z. Along the way, we discuss and characterize the nearly invariant subspaces of these Hardy spaces and examine conditions for z-invariant subspaces to be cyclic. This work ⁄ 29,95 also makes important connections to model spaces for the standard backward shift Aug-09 operator as well as the de Branges spaces of entire functions. The book is written for a £ 26,99 graduate student or professional with a reasonable knowledge of Hardy spaces of the disk and basic complex and functional analysis.

(Series: Frontiers in Mathematics)

2009, 144 p., Softcover ISBN: 978-3-0346-0097-2 Filipovic, Damir

Term-Structure Models A Graduate Course

Changing interest rates constitute one of the major risk sources for banks, insurance companies, and other financial institutions. Modeling the term-structure movements of interest rates is a challenging task. This volume gives an introduction to the mathematics of term-structure models in continuous time. It includes practical aspects for fixed-income markets such as day-count conventions, duration of coupon-paying bonds and yield curve construction; arbitrage theory; short-rate models; the Heath- Jarrow-Morton methodology; consistent term-structure parametrizations; affine diffusion ⁄ 39,95 processes and option pricing with Fourier transform; LIBOR market models; and credit Aug-09 risk. £ 34,99

The focus is on a mathematically straightforward but rigorous development of the theory. Students, researchers and practitioners will find this volume very useful. Each chapter ends with a set of exercises, that provides source for homework and exam questions. Readers are expected to be familiar with elementary Itô calculus, basic probability theory, and real and complex analysis.

(Series: Springer Finance)

2009, XII, 256 p., Hardcover ISBN: 978-3-540-09726-6

SPRINGER TITLES IN: MATHEMATICS PAGE 3 OF 5 Coppel, W.A.

Number Theory An Introduction to Mathematics

Number Theory is more than a comprehensive treatment of the subject. It is an introduction to topics in higher level mathematics, and unique in its scope; topics from analysis, modern algebra, and discrete mathematics are all included.

The book is divided into two parts. Part A covers key concepts of number theory and ⁄ 64,95 could serve as a first course on the subject. Part B delves into more advanced topics Aug-09 £ 58,99 and an exploration of related mathematics. Part B contains, for example, complete proofs of the Hasse-Minkowski theorem and the prime number theorem, as well as self- contained accounts of the character theory of finite groups and the theory of elliptic functions. The prerequisites for this self-contained text are elements from linear algebra. Valuable references for the reader are collected at the end of each chapter. It is suitable as an introduction to higher level mathematics for undergraduates, or for self-study. (Series: Universitext)

2nd ed., 2009, XIII, 610 p. 17 illus., Softcover ISBN: 978-0-387-89485-0 Kostant, Bertram

Collected Papers Volume I 1955-1966

For more than five decades Bertram Kostant has been one of the major architects of modern Lie theory. Virtually all his papers are pioneering with deep consequences, many giving rise to whole new fields of activities. His interests span a tremendous range of Lie theory, from differential geometry to representation theory, abstract algebra, and mathematical physics. Some specific topics cover algebraic groups and invariant theory, ⁄ 114,95 Aug-09 the geometry of homogeneous spaces, representation theory, geometric quantization £ 103,50 and symplectic geometry, Lie algebra cohomology, Hamiltonian mechanics, modular

forms, Whittaker theory, Toda lattice, and much more. It is striking to note that Lie theory (and symmetry in general) now occupies an ever increasing larger role in mathematics than it did in the fifties.

This is the first volume (1955-1966) of a five-volume set of Bertram Kostant’s collected papers. A distinguished feature of this first volume is Kostant’s commentaries and summaries of his papers in his own words. 2009, XX, 518 p. 1 illus., Cloth bound ISBN: 978-0-387-09582-0 Kruglikov, B.; Lychagin, Valentin; Straume, Eldar

Differential Equations - Geometry, Symmetries and Integrability The Abel Symposium 2008

The Abel Symposium 2008 focused on the modern theory of differential equations and their applications in geometry, mechanics, and mathematical physics. Following the tradition of Monge, Abel and Lie, the scientific program emphasized the role of algebro- geometric methods, which nowadays permeate all mathematical models in natural and ⁄ 109,95 engineering sciences. The ideas of invariance and symmetry are of fundamental Aug-09 importance in the geometric approach to differential equations, with a serious impact £ 99,00 coming from the area of integrable systems and field theories.

This volume consists of original contributions and broad overview lectures of the participants of the Symposium. The papers in this volume present the modern approach to this classical subject. (Series: Abel Symposia)

2009, XIV, 386 p. 1 illus. in color., Hardcover ISBN: 978-3-642-00872-6

SPRINGER TITLES IN: MATHEMATICS PAGE 4 OF 5 Langtangen, Hans Petter

A Primer on Scientific Programming with Python

The book serves as a first introduction to computer programming of scientific applications, using the high-level Python language. The exposition is example- and problem-oriented, where the applications are taken from mathematics, numerical calculus, statistics, physics, biology, and finance. The book teaches "Matlab-style" and procedural programming as well as object-oriented programming. High school ⁄ 44,95 Aug-09 mathematics is a required background, and it is advantageous to study classical and £ 39,99 numerical one-variable calculus in parallel with reading this book. Besides learning how to program computers, the reader will also learn how to solve mathematical problems,

arising in various branches of science and engineering, with the aid of numerical methods and programming. By blending programming, mathematics and scientific applications, the book lays a solid foundation for practicing computational science. (Series: Texts in Computational Science and Engineering)

2009, XXVII, 693 p., Hardcover ISBN: 978-3-642-02474-0 Chorin, Alexandre J.; Hald, Ole H.

Stochastic Tools in Mathematics and Science

Stochastic Tools in Mathematics and Science is an introductory book on probability- based modeling. It covers basic stochastic tools used in physics, chemistry, engineering and the life sciences. The topics covered include conditional expectations, stochastic processes, Brownian motion and its relation to partial differential equations, Langevin equations, the Liouville and Fokker-Planck equations, as well as Markov chain Monte Carlo algorithms, renormalization and dimensional reduction, and basic equilibrium and non-equilibrium statistical mechanics. The applications include data assimilation, prediction from partial data, spectral analysis, and turbulence. A noteworthy feature of

the book is the systematic analysis of memory effects. The presentation is ⁄ 34,95 mathematically attractive, and should form a useful bridge between the theoretical Aug-09 treatments familiar to mathematical specialists and the more practical questions raised £ 31,99 by specific applications.

The book is based on lecture notes from a class that has attracted graduate and advanced undergraduate students from mathematics and from many other science departments at the University of California, Berkeley. Each chapter is followed by exercises. The book will be useful for scientists and engineers working in a wide range of fields and applications.

(Series: Surveys and Tutorials in the Applied Mathematical Sciences)

2nd ed., 2009, X, 162 p. 7 illus., Softcover ISBN: 978-1-4419-1001-1

All ⁄ and and £ prices are net prices subject to local VAT, e.g. in Germany 7%. All prices exclusive of carriage charges. Prices and other details are subject to change without notice. All errors and omissions excepted.

SPRINGER TITLES IN: MATHEMATICS PAGE 5 OF 5