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## Mathematics |

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#### Ant Colony Optimization (Hardback)

$23.95

"The complex social behaviors of ants have been much studied by science, and computer scientists are now finding that these behavior patterns can provide models for solving difficult combinatorial optimization problems." — From the back cover

#### Elliptic Curves: Number Theory and Cryptography (Hardback)

$79.95

"Elliptic curves have played an increasingly important role in number theory and relate fields over the last several decades, most notably in areas such as cryptography, factorization, and the proof of Fermat's Last Theorem. However, most books on the subject assume a rather high level of mathematical sophistication, an few are truly accessible to senior undergraduate or beginning graduate students. Assuming only a modest background in elementary number theory, groups, and fields,

*Elliptic Curves: Number Theory an Cryptography*introduces both the cryptographic and number theoretic sides of elliptic curves, interweaving the theory of elliptic curves with their applications." — From the back cover#### Invitation to the Mathematics of Fermat-Wiles (Hardback)

$54.29

Scrawled as an aside in the margin of Fermat's copy of Diophantus'

*Arithmetica*lies the original formulation of mathematics' most famous enigma: Fermat's last theorem. For 350 years mathematicians struggled with the theorem until, on the 19th of September 1994, Andrew Wiles presented a proof." — From the back cover#### The Queen of Mathematics: A Historically Motivated Guide to Number Theory (Hardback)

$49.50

"Starting in the fall of 1986, I combined my interests in number theory and history by teaching a one-year course in number theory from a historical prospective. The course used historical highlights to show the development of various topics, and I included some discussion about the lives of famous number theorists. My lecture notes for the course turned into a more formal set of notes, which turned into this book. Both the spirit and organization of material in the book remain those of my original lectures." — Jay R. Goldman, author, in the Preface

#### The Quantum Theory of Fields, Volume I: Foundations (Hardback)

$49.59

"In

*The Quantum Theory of Fields*Nobel Laureate Steven Weinberg combines his exceptional physical insight with his gift for clear exposition to provide a self-contained, comprehensive, and up-to-date introduction to quantum field theory." — From the dust jacket#### Euclidean and Non-Euclidean Geometry: An Analytic Approach (Softcover)

$23.39

"This book gives a rigorous treatment of the fundamentals of plane geometry — Euclidean, spherical, elliptical, and hyperbolic — from an analytic point of view." — From the back cover

#### Simulation and Inference for Stochastic Differential Equations: With R Examples (Hardback)

$56.95

"This book is very different from any other publication in the field and it is unique because of its focus on the practical implementation of the simulation and estimation methods presented." — From the back cover

#### Roads to Infinity: The Mathematics of Truth and Proof (Hardback)

$21.89

"While many popular books have been written on the advances in our understanding of infinity, sparked by the set theory of Georg Cantor in the 1870s and incompleteness theorems of Kurt Gödel in the 1930s, such books generally dwell on a single aspect of either set theory or logic. The aim of this book is to explain the whole, in which set theory interacts with logic, and both begin to affect mainstream mathematics (the latter being quite a recent development, not yet given much space in popular accounts)." — From the dust jacket's inside front flap

#### Polyhedra (Softcover)

$45.99

"Polyhedra have cropped up in many different guises throughout recorded history. In modern times, polyhedra and their symmetries have been cast in a new light by combinatorics and group theory." — From the back cover

#### Handbook of Mathematics and Computational Science (Hardback)

$39.50

"The Harris and Stocker Handbook of Mathematics and Computation Science is a complete desk-top reference for working scientists, engineers, and students. It serves as a veritable math toolbox for rapid access to a wealth of mathematics information for everyday use in problem solving, homework, examinations, etc." — From the back cover

#### Mathematical Foundations of Quantum Mechanics (Softcover)

$32.49

"

*Mathematical Foundations of Quantum Mechanics*was a revolutionary book that caused a sea change in theoretical physics." — From the back cover#### Methods of Information Geometry (Softcover)

$54.95

"The first half of this book is devoted to a comprehensive introduction to the mathematical foundation of information geometry, including preliminaries from differential geometry, the geometry of manifolds or probability distributions, and the general theory of dual affine connections. the second half of the text provides an overview of many areas of applications, such as statistics, linear systems, information theory, quantum mechanics, convex analysis, neural networks, and affine differential geometry. The book can serve as a suitable text for a topics course for advanced undergraduates and graduate students." — From the back cover

#### Theory of Linear and Integer Programming (Softcover)

$83.39

"This book describes the theory of linear and integer programming and surveys the algorithms for linear and integer programming problems, focusing on complexity analysis. It aims at complementing the more practically oriented books in this field." — From the back cover

#### Perspectives on Projective Geometry: A Guided Tour Through Real and Complex Geometry (Hardback)

$49.95

"Projective geometry is one of the most fundamental and at the same time most beautiful branches of geometry. It can be considered the common foundation of many other geometric disciplines like Euclidean geometry, hyperbolic and elliptic geometry or even relativistic space-time geometry. This book offers a comprehensive introduction to this fascinating field and its applications." — From the back cover

#### The Mathematica GuideBook for Graphics (Hardback with DVD-ROM)

$122.95

"

*The Mathematica GuideBook for Graphics*provides a comprehensive step-by-step development of how to use*Mathematica*to visualize functions and data, manipulate graphcis, and optimize their appearance." — From the back cover#### The Mathematica GuideBook for Numerics (Hardback with DVD-ROM)

$76.59

"

*The Mathematica GuideBook for Numerics*(text and code fully tailored for*Mathematica*5.1) concentrates on*Mathematica*'s numerical mathematics capaiblities." — From the back cover#### The Mathematica GuideBook for Symbolics (Hardback Only)

$32.75

"

*The Mathematica GuideBook for Symbolics*(code and text fully tailored for*Mathematica*5.1) deals with*Mathematica*'s symbolic mathematical capabilities." — From the back cover#### The Mathematica GuideBook for Programming (Hardback with DVD-ROM)

$37.95

"

*The Mathematica GuideBook for Programming*provides a comprehensive, step-by-step development of*Mathematica*programming capabilities and contains an enormous collection of examples and worked exercises." — From the back cover#### The Cauchy-Schwarz Master Class: An Introduction to the Art of Mathematical Inequalities (Softcover)

$33.25

"This lively, problem-oriented text is designed to coach readers toward mastery of the most fundamental mathematical inequalities. With the Cauchy-Schwarz inequality as the initial guide, the reader is led through a sequence of fascinating problems whose solutions are presented as they might have been discovered—either by one of history's famous mathematicians or by the reader." — From the back cover

#### Quantum Computer Science: An Introduction (Hardback)

$34.95

"In the 1990s it was realized that quantum physics has some spectacular applications in computer science. This book is a concise introduction to quantum computation, developing the basic elements of this new branch of computational theory without assuming any background in physics." — From the back cover

#### Introduction to Symmetry Analysis (Softcover with CD-ROM)

$74.79

"Symmetry analysis based on Lie group theory is the most important method for solving nonlinear problems aside from numerical computation. ... The text emphasizes applications, and numerous worked examples are used to illustrate basic concepts." — From the back cover

#### Three-Dimensional Geometry and Topology, Volume 1 (Hardback)

$38.95

"This book develops some of the extraordinary richness, beauty, and power of geometry in two and three dimensions, and the strong connection of geometry with topology." — From the back cover

#### Introduction to Analysis of the Infinite, Book I (Hardback)

$89.95

"...I have divided this work into two books; in the first of these I have confined myself to those matters concerning pure analysis. In the second book I have explained those things which must be known from geometry, since analysis is ordinarily developed in such a way that its application to geometry is shown. ... [I]n the first book, since all of analysis is concerned with variable quantities and functions of such variables, I have given full treatment to functions. I have also treated the transformation of functions and functions as the sum of infinite series. In addition I have developed functions in infinite series..." — From the Preface by the Author, Leonhard Euler

#### Student Mathematical Library, Volume 15: Plane Algebraic Curves (Softcover)

$29.49

"This is an excellent introduction to algebraic geometry, which assumes only standard undergraduate mathematical topics: complex analysis, rings and fields, and topology. Reading this book will help establish the geometric intuition that lies behind the more advanced ideas and techniques used in the study of higher-dimensional varieties." — From the back cover