Mathematics

10968 books

$76.95

by Mark Colyvan (Author)This introduction to the philosophy of mathematics focuses on contemporary debates in an important and central area of philosophy. The reader is taken on a fascinating and entertaining journey through some intriguing mathematical and philosophical territory, including such topics as the realism/anti-realism debate in mathematics, mathematical explanation, the limits of mathematics, the significance of mathematical notation, inconsistent mathematics and the applications...

$119.70

by Thomas Forster (Author)Philosophical considerations, which are often ignored or treated casually, are given careful consideration in this introduction. Thomas Forster places the notion of inductively defined sets (recursive datatypes) at the center of his exposition resulting in an original analysis of well established topics. The presentation illustrates difficult points and includes many exercises. Little previous knowledge of logic is required and only a knowledge of standard undergradu...

A User's Guide to Spectral Sequences - Paperback

$128.52

by John McCleary (Author)Spectral sequences are among the most elegant and powerful methods of computation in mathematics. This book describes some of the most important examples of spectral sequences and some of their most spectacular applications. The first part treats the algebraic foundations for this sort of homological algebra, starting from informal calculations. The heart of the text is an exposition of the classical examples from homotopy theory, with chapters on the Leray-Serre spec...

Mathematical Models in the Applied Sciences - Paperback

$157.59

by A. C. Fowler (Author)This book presents a thorough grounding in the techniques of modeling, and proceeds to explore a range of continuum models from an impressive array of disciplines, including biology, chemical engineering, fluid and solid mechanics, geophysics, medicine, and physics. It assumes only a basic mathematical grounding in calculus and analysis and will provide a wealth of examples for students of mathematics, engineering, and the range of applied sciences. Number of Pages: 42...

$160.65

by Roger A. Horn (Author), Charles R. Johnson (Author)Building on the foundations of its predecessor volume, Matrix Analysis, this book treats in detail several topics with important applications and of special mathematical interest in matrix theory not included in the previous text. These topics include the field of values, stable matrices and inertia, singular values, matrix equations and Kronecker products, Hadamard products, and matrices and functions. The authors assume a background in e...

$119.70

by Grigory Isaakovich Barenblatt (Author)Starting from dimensional analysis and physical similarity, G. Barenblatt describes the art of discovering scaling laws. He demonstrates the concepts of intermediate asymptotics and the renormalization group as natural consequences of self-similarity and shows how and when these tools can tackle the task at hand, and when they cannot. Based on courses taught to undergraduate and graduate students, the book can also be used independently by biologists, ...

$79.90

by T. W. Körner (Author)In this engaging and readable book, Dr. K rner describes a variety of lively topics that continue to intrigue professional mathematicians. The topics range from the design of anchors and the Battle of the Atlantic to the outbreak of cholera in Victorian Soho. The author uses relatively simple terms and ideas, yet explains difficulties and avoids condescension. If you are a mathematician who wants to explain to others how you spend your working days, then seek inspirati...

An Introduction to Ordinary Differential Equations - Paperback

$189.81

by James C. Robinson (Author)This introduction to ordinary differential and difference equations is suited not only for mathematicians but for scientists and engineers as well. Exact solutions methods and qualitative approaches are covered, and many illustrative examples are included. Matlab is used to generate graphical representations of solutions. Numerous exercises are featured and proved solutions are available for teachers. Number of Pages: 414 Dimensions: 0.86 x 9.72 x 6.86 IN Illustra...

Quadratic Forms with Applications to Algebraic Geometry and Topology - Paperback

$84.15

by Albrecht Pfister (Author)This volume discusses results about quadratic forms that give rise to interconnections among number theory, algebra, algebraic geometry, and topology. The author deals with various topics including Hilbert's 17th problem, the Tsen-Lang theory of quasi-algebraically closed fields, the level of topological spaces, and systems of quadratic forms over arbitrary fields. Whenever possible, proofs are short and elegant, and the author has made this book as self-contained ...

The Algebraic Characterization of Geometric 4-Manifolds - Paperback

$97.92

by J. A. Hillman (Author)This book describes work on the characterization of closed 4-manifolds in terms of familiar invariants such as Euler characteristic, fundamental group, and Stiefel-Whitney classes. Using techniques from homological group theory, the theory of 3-manifolds and topological surgery, infrasolvmanifolds are characterized up to homeomorphism, and surface bundles are characterized up to simple homotopy equivalence. Non-orientable cases are also considered wherever possible, a...

Methods of Algebraic Geometry: Volume 3 - Paperback

$156.06

by W. V. D. Hodge (Author), D. Pedoe (Author)In the third volume, the authors discuss algebraic varieties on a ground field without characteristic, and deal with more advanced geometrical methods, such as valuation theory. Number of Pages: 348 Dimensions: 0.8 x 8.95 x 5.98 IN Illustrated: Yes Publication Date: June 09, 2003

$148.77

by R. Douglas Gregory (Author)Gregory's Classical Mechanics is a major new textbook for undergraduates in mathematics and physics. It is a thorough, self-contained and highly readable account of a subject many students find difficult. The author's clear and systematic style promotes a good understanding of the subject; each concept is motivated and illustrated by worked examples, while problem sets provide plenty of practice for understanding and technique. Computer assisted problems, some su...

$160.74

by David Stirzaker (Author)This fully revised and updated new edition of the well established textbook affords a clear introduction to the theory of probability. Topics covered include conditional probability, independence, discrete and continuous random variables, generating functions and limit theorems, and an introduction to Markov chains. The text is accessible to undergraduate students and provides numerous examples and exercises to help develop the important skills necessary for problem...

Methods of Algebraic Geometry - Paperback

$197.37

by W. V. D. Hodge (Author), Daniel Pedoe (Joint Author), Daniel Pedoe (Preface by)This classic work (first published in 1947), in three volumes, provides a lucid and rigorous account of the foundations of modern algebraic geometry. The authors have confined themselves to fundamental concepts and geometrical methods, and do not give detailed developments of geometrical properties but geometrical meaning has been emphasized throughout. This first volume is divided into two parts. The first is d...

Methods of Algebraic Geometry: Volume 2 - Paperback

$128.52

by W. V. D. Hodge (Author), D. Pedoe (Author)Volume 2 gives an account of the principal methods used in developing a theory of algebraic varieties on n dimensions, and supplies applications of these methods to some of the more important varieties that occur in projective geometry. Number of Pages: 408 Dimensions: 0.88 x 8.98 x 6.02 IN Illustrated: Yes Publication Date: May 19, 1994

Introductory Computational Physics - Paperback

$76.95

by Andi Klein (Author), Alexander Godunov (Author)Computers are one of the most important tools available to physicists, whether for calculating and displaying results, simulating experiments, or solving complex systems of equations. Introducing students to computational physics, this textbook reveals how to use computers to solve mathematical problems in physics and teaches students about choosing different numerical approaches. It also introduces students to many of the programs and package...

$151.47

by Rajeev Motwani (Author), Prabhakar Raghavan (Author)For many applications, a randomized algorithm is either the simplest or the fastest algorithm available, and sometimes both. This book introduces the basic concepts in the design and analysis of randomized algorithms. The first part of the text presents basic tools such as probability theory and probabilistic analysis that are frequently used in algorithmic applications. Algorithmic examples are also given to illustrate the use of each to...

Bootstrap Methods and Their Application - Paperback

$179.01

by A. C. Davison (Author), D. V. Hinkley (Author)This book gives a broad and up-to-date coverage of bootstrap methods, with numerous applied examples, developed in a coherent way with the necessary theoretical basis. Applications include stratified data; finite populations; censored and missing data; linear, nonlinear, and smooth regression models; classification; time series and spatial problems. Special features of the book include: extensive discussion of significance tests and confidence ...

Chaotic Dynamics: An Introduction - Paperback

$119.70

by Gregory L. Baker (Author), Jerry P. Gollub (Author)The previous edition of this text was the first to provide a quantitative introduction to chaos and nonlinear dynamics at the undergraduate level. It was widely praised for the clarity of writing and for the unique and effective way in which the authors presented the basic ideas. These same qualities characterize this revised and expanded second edition. Interest in chaotic dynamics has grown explosively in recent years. Applications to pr...

$123.93

by P. G. Saffman (Author)The discovery of coherent structures in turbulence has fostered the hope that the study of vortices will lead to models and an understanding of turbulent flow, thereby solving or at least making less mysterious one of the great unresolved problems of classical physics. Vortex dynamics is a natural paradigm for the field of chaotic motion and modern dynamical system theory. The emphasis in this monograph is on the classical theory of inviscid incompressible fluids cont...

Introduction to the Modern Theory of Dynamical Systems - Paperback

$143.82

by Anatole Katok (Author), Boris Hasselblatt (Author)This book provides a self-contained comprehensive exposition of the theory of dynamical systems. The book begins with a discussion of several elementary but crucial examples. These are used to formulate a program for the general study of asymptotic properties and to introduce the principal theoretical concepts and methods. The main theme of the second part of the book is the interplay between local analysis near individual orbits and the gl...

Grothendieck Theory of Dessins D'Enfants - Paperback

$189.72

by Leila Schneps (Author)The focus of this book is on combinatorial objects, dessins d'enfants, which are drawings with vertices and edges on topological surfaces. Their interest lies in their relation with the set of algebraic curves defined over the closure of the rationals, and the corresponding action of the absolute Galois group on them. The articles contained here unite basic elements of the subject with recent advances. Topics covered include: the explicity association of algebraic cur...

$111.69

by Steven Vickers (Author)This advanced textbook on topology has three unusual features. First, the introduction is from the locale viewpoint, motivated by the logic of finite observations: this provides a more direct approach than the traditional one based on abstracting properties of open sets in the real line. Second, the author freely exploits the methods of locale theory. Third, there is substantial discussion of some computer science applications. As computer scientists become more awar...

Func Anly Prob Stoch Processes - Paperback

$151.47

by Adam Bobrowski (Author)Designed for students of probability and stochastic processes, as well as for students of functional analysis, specifically, this volume presents some chosen parts of functional analysis that can help clarify probability and stochastic processes. The subjects range from basic Hilbert and Banach spaces, through weak topologies and Banach algebras, to the theory of semigroups of bounded linear operators. Numerous standard and non-standard examples and exercises make th...

Hilbert C*-Modules: A Toolkit for Operator Algebraists - Paperback

$64.26

by E. Christopher Lance (Author)The theory of these modules together with their bounded and unbounded operators is not only rich and attractive in its own right but forms an infrastructure for some of the most important research topics in operator algebra. This book provides a clear and unified exposition of the main techniques and results in this area, including a substantial amount of new and unpublished material. Graduate students and researchers working in operator algebras will welcome t...

$160.74

by J. F. Humphreys (Author), M. Y. Prest (Author)This thoroughly revised and updated version of the popular textbook on abstract algebra introduces students to easily understood problems and concepts. John Humphreys and Mike Prest include many examples and exercises throughout the book to make it more appealing to students and instructors. The second edition features new sections on mathematical reasoning and polynomials. In addition, three chapters have been completely rewritten and all othe...

Multiple View Geom Comp Vision 2ed - Paperback

$192.78

by Richard Hartley (Author), Andrew Zisserman (Author)A basic problem in computer vision is to understand the structure of a real world scene. This book covers relevant geometric principles and how to represent objects algebraically so they can be computed and applied. Recent major developments in the theory and practice of scene reconstruction are described in detail in a unified framework. Richard Hartley and Andrew Zisserman provide comprehensive background material and explain how to appl...

The Shaping of Deduction in Greek Mathematics: A Study in Cognitive History - Paperback

$84.15

by Reviel Netz (Author)This book provides a way to understand a momentous development in human intellectual history: the phenomenon of deductive argument in classical Greek mathematics. The argument rests on a close description of the practices of Greek mathematics, principally the use of lettered diagrams and the regulated, formulaic use of language. Number of Pages: 352 Dimensions: 0.79 x 9 x 6 IN Publication Date: September 18, 2003

Prolegomena to a Middlebrow Arithmetic of Curves of Genus 2 - Paperback

$128.52

by J. W. S. Cassels (Author), E. V. Flynn (Author)The number theoretic properties of curves of genus 2 are attracting increasing attention. This book provides new insights into this subject; much of the material here is entirely new, and none has appeared in book form before. The authors include an explicit treatment of the Jacobian, which throws new light onto the geometry of the Kummer surface. Mathematicians can then determine the Mordell-Weil group for many curves, and in many nontrivial ...

A Treatise on the Theory of Bessel Functions - Paperback

$182.97

by G. N. Watson (Author)The late Professor G.N. Watson wrote his monumental treatise on the theory of Bessel functions in 1922 with two objects in view. The first was the development of applications of the fundamental processes of the theory of complex variables, and the second was compiling a collection of results of value for mathematicians and physicists who encounter Bessel functions in the course of their researches. The completeness of the theoretical account, combined with the wide sco...

$139.23

by V. Jones (Author), V. S. Sunder (Author)Subfactors, a subject of considerable research activity for about fifteen years, are known to have significant relations with other fields such as low dimensional topology and algebraic quantum field theory. The authors present a new pictorial approach to subfactors in addition to discussions of basic principles. This book provides an important introduction to the subject and is aimed at students with only a little familiarity with the theory of Hilb...

Mathematics of Genome Analysis - Paperback

$64.26

by Jerome K. Percus (Author)The massive research effort known as the Human Genome Project is an attempt to record the sequence of the three trillion nucleotides that make up the human genome and to identify individual genes within this sequence. The description and classification of sequences is heavily dependent on mathematical and statistical models. This short textbook presents a brief description of several ways in which mathematics and statistics are being used in genome analysis and seq...