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## Textbooks for College and Above |

**Textbooks **is a catch-all term used here for any type of book that is specifically designed for education. The category includes teacher guides, workbooks, activity guides, unit studies, and traditional classroom textbooks.

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#### Signal Analysis (Hardcover)

$19.95

"The material is divided into three self-contained, but closely related parts. The level of difficulty of each part is fairly uniform, but the degree of elaboration varies depending on the importance or novelty of the topic."—from the Preface

#### Graduate Texts in Mathematics: Algebraic Geometry (Hardback)

$39.95

"This book provides an introduction to abstract algebraic geometry using the methods of schemes and cohomology."—from the Preface

#### Linear Algebra and Its Applications, Second Edition (Hardback)

$41.49

"The outlook of the second edition is the same as that of the original: to present linear algebra as the theory and practice of linear equations and linear mappings. Where it aids understandings and calculations, I don't hesitate to describe vectors as arrays of numbers and describe mappings as matrices."—by the author, from the Preface

#### A Course in Convexity (Graduate Studies in Mathematics, Volume 54, Hardcover)

$49.95

"As a whole, [this book] is designed for graduate students interested in mathematical methods, computer science, electrical engineering, and operations research."— from the back cover

#### The Traveling Salesman Problem: A Guided Tour of Combinatorial Optimization (Hardcover)

$169.95

"Provides an in-depth treatment of the Traveling Salesman problem—the archetypical problem in combinatorial optimization. Each chapter deals with a different aspect of the problem, and has been written by an acknowledged expert in the field. Focusses on the essential ideas in a self-contained manner. Includes exercises and an extensive bibliography."—from the publisher

#### Lebesgue Integration on Euclidean Space (Revised Edition, Softcover)

$59.99

The author's aims in this book are as follows: "1. To present a slow introduction to Lebesgue integration...2. To deal with n-dimensional spaces from the outset...3. To provide a thorough treatment of Fourier analysis...4. To prepare students to become 'workers' in real analysis."—from the Preface

#### Stochastic Calculus: Applications in Science and Engineering (Hardcover)

$49.95

"When familiar at least with the basics of measure theoretic probability, one may use this book to get a feel for the type of problems one tackles with the given methods and the type of results one can expect and then proceed to more detailed expositions.... The book is an impressive achievement."—Mathematical Reviews

#### 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#### An Introduction to Random Matrices (Hardback)

$53.95

"The theory of random matrices plays an important role in many areas of pure mathematics and employs a variety of sophisticated mathematical tools (analytical, probabilistic, and combinatorial). This diverse array of tools, while attesting to the vitality of the field, presents several formidable obstacles to the newcomer, and even to the expert probabilist. This rigorous introduction to the basic theory is sufficiently self-contained to be accessible to graduate students in mathematics or related sciences who have mastered probability theory at the graduate level, but who have not necessarily been exposed to advanced notions of functional analysis, algebra, or geometry." — From the back cover

#### Graduate Texts in Mathematics: Introduction to Topological Manifolds (Softcover)

$39.95

"This book is an introduction to manifolds at the beginning graduate level. It contains the essential topological ideas that are needed for the further study of manifolds, particularly in the context of differential geometry, algebraic topology, and related fields. Its guiding philosophy is to develop these ideas rigorously but economically with minimal prerequisites and plenty of geometric intuition." — From the back cover

#### Exploring Abstract Algebra with Mathematica® (Softcover with CD-ROM)

$35.59

"

*Exploring Abstract Algebra with Mathematica®*, a book and CD package containing twenty-seven interactive labs on group and ring theory built around a suite of*Mathematica®*packages called AbstractAlgebra, is a novel learning environment for an introductory abstract algebra course." — From the back cover#### Graduate Texts in Mathematics: Riemannian Manifolds: An Introduction to Curvature (Softcover)

$33.99

"This book is designed for a one-quarter or one-semester graduate course on Riemannian geometry. It focuses on developing an intimate acquaintance with the geometric meaning of curvature and thereby introduces and demonstrates all the main technical tools needed for a more advanced study of Riemannian manifolds." — From the back cover

#### Problem-Solving Through Problems (Softcover)

$59.49

"This is a practical anthology of some of the best elementary problems in different branches of mathematics. They are selected for their aesthetic appeal as well as their instructional value, and are organized to highlight the most common problem-solving techniques encountered in undergraduate mathematics." — From the back cover

#### Graduate Texts in Mathematics: Multiplicative Number Theory, Third Edition (Hardback)

$54.99

"This book thoroughly examines the distribution of prime numbers in arithmetic progressions." — From the back cover

#### Galois' Dream: Group Theory and Differential Equations (Hardback)

$29.65

"[The late] Michio Kuga's lectures on Group Theory and Differential Equations are a realization of two dreams—one to see Galois groups used to attack the problems of differential equations—the other to do so in such a manner as to take students from a very basic level to an understanding of the heart of this fascinating mathematical problem." — 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

#### Orthogonal Polynomials and Random Matrices: A Riemann-Hilbert Approach (Softcover)

$27.59

"This volume expands on a set of lectures held at the Courant Institute on Riemann-Hlibert problems, orthogonal polynomials, and random matrix theory. The goal of this course was to prove universality for a variety of statistical quantities arising in the theory of random matrix models." — From the back cover

#### Undergraduate Texts in Mathematics: Vector Analysis (Hardback)

$27.95

"Classical vector analysis deals with vector fields; the gradient, divergence, and curl operators; line, surface, and volume integrals; and the integral theorems of Gauss, Green, and Stokes. Modern vector analysis distills these into the Cartan calculus and a general form of Stokes's theorem. This essentially modern text carefully develops vector analysis on manifolds, reinterprets it from the classical viewpoint (and with the classical notation) for three-dimensional Euclidean space, and then goes on to introduce de Rham cohomology and Hodge theory." — From the back cover

#### Undergraduate Texts in Mathematics: Linearity, Symmetry, and Prediction in the Hydrogen Atom (Hardback)

$41.79

"This user-friendly exposition, driven by numerous examples and exercises, requires a solid background in calculus and familiarity with either linear algebra or advanced quantum mechanics. ... [It] will benefit students in mathematics, physics and chemistry, as well as a literate general readership." — From the back cover

#### Algebra and Geometry (Softcover)

$35.49

"This text gives a basic introduction and a unified approach to algebra and geometry. It covers the ideas of complex numbers, scalar and vector products, determinants, linear algebra, group theory, permutation groups, symmetry groups and various aspects of geometry including groups of isometries, rotations, and spherical geometry." — From the back cover

#### Classics in Mathematics: Interacting Particle Systems (Softcover)

$39.99

"My intention is that this book serve as a reference work on interacting particle systems, and that it be used as the basis for an advanced graduate course on the subject." — From the Preface (page vii)

#### A Radical Approach to Lebesgues's Theory of Integration (Softcover)

$31.59

"Meant for advanced undergraduate and graduate students in mathematics, this lively introduction to measure theory and Lebesgue integration is rooted in and motivated by the historical questions that led to its development. The author stresses the original purpose of the definitions and theorems and highlights some of the difficulties that were encountered as these ideas were refined." — From the back cover

#### Undergraduate Texts in Mathematics: Introduction to Analytic Number Theory (Hardback)

$33.95

"This introductory textbook is designed to teach undergraduates the basic ideas and techniques of number theory, with special consideration to the principles of analytic number theory." — From the back cover

#### Measure and Integral: An Introduction to Real Analysis (Hardback)

$53.29

"This volume develops the classical theory of the Lebesgue integral and some of its applications. The integral is initially presented in the context of

*n*-dimensional Euclidean space, following a thorough study of the concepts of outer measure and measure. A more general treatment of the integral, based on an axiomatic approach, is later given." — From the back cover