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