Mathematics

10968 books

A Radical Approach to Lebesque's Theory of Integration - Paperback

$87.21

by David M. Bressoud (Author)This lively introduction to measure theory and Lebesgue integration is motivated by the historical questions that led to its development. The author stresses the original purpose of the definitions and theorems, highlighting the difficulties mathematicians encountered as these ideas were refined. The story begins with Riemann's definition of the integral, and then follows the efforts of those who wrestled with the difficulties inherent in it, until Lebesgue finall...

Evolutionary Games and Population Dynamics - Paperback

$169.29

by Josef Hofbauer (Author), Karl Sigmund (Author)Every form of behavior is shaped by trial and error. Such stepwise adaptation can occur through individual learning or through natural selection, the basis of evolution. Since the work of Maynard Smith and others, it has been realized how game theory can model this process. Evolutionary game theory replaces the static solutions of classical game theory by a dynamical approach centered not on the concept of rational players but on the population...

Heights in Diophantine Geometry - Paperback

$139.23

by Enrico Bombieri (Author), Walter Gubler (Author)Diophantine geometry has been studied by number theorists for thousands of years, since the time of Pythagoras, and has continued to be a rich area of ideas such as Fermat's Last Theorem, and most recently the ABC conjecture. This monograph is a bridge between the classical theory and modern approach via arithmetic geometry. The authors provide a clear path through the subject for graduate students and researchers. They have re-examined many ...

Fourier Analysis and Partial Differential Equations - Paperback

$157.59

by Rafael José Iorio Jr (Author), Valéria de Magalhães Iorio (Author)This modern introduction to Fourier analysis and partial differential equations is intended to be used with courses for beginning graduate students. With minimal prerequisites the authors take the reader from fundamentals to research topics in the area of nonlinear evolution equations, including a fairly complete discussion of local and global well-posedness for the nonlinear Schr dinger and the Korteweg-de Vries equations; ...

Alfred Tarski: Life and Logic - Paperback

$56.59

by Anita Burdman Feferman (Author), Solomon Feferman (Author)Alfred Tarski, one of the greatest logicians of all time, is widely thought of as 'the man who defined truth'. His mathematical work on the concepts of truth and logical consequence are cornerstones of modern logic, influencing developments in philosophy, linguistics and computer science. Tarski was a charismatic teacher and zealous promoter of his view of logic as the foundation of all rational thought, a bon-vivant and a womanizer...

Mathematical Methods for Physics and Engineering: A Comprehensive Guide - Paperback

$128.25

by K. F. Riley (Author), M. P. Hobson (Author), S. J. Bence (Author)The third edition of this highly acclaimed undergraduate textbook is suitable for teaching all the mathematics for an undergraduate course in any of the physical sciences. As well as lucid descriptions of all the topics and many worked examples, it contains over 800 exercises. New stand-alone chapters give a systematic account of the 'special functions' of physical science, cover an extended range of practical applications of...

Geometric Folding Algorithms - Paperback

$114.75

by Erik D. Demaine (Author), Joseph O'Rourke (Author)How can linkages, pieces of paper, and polyhedra be folded? The authors present hundreds of results and over 60 unsolved 'open problems' in this comprehensive look at the mathematics of folding, with an emphasis on algorithmic or computational aspects. Folding and unfolding problems have been implicit since Albrecht D rer in the early 1500s, but have only recently been studied in the mathematical literature. Over the past decade, there has ...

$162.18

by Lidia Angeleri Hügel (Editor), Dieter Happel (Editor), Henning Krause (Editor)Tilting theory originates in the representation theory of finite dimensional algebras. Today the subject is of much interest in various areas of mathematics, such as finite and algebraic group theory, commutative and non-commutative algebraic geometry, and algebraic topology. The aim of this book is to present the basic concepts of tilting theory as well as the variety of applications. It contains a collection of...

The Navier-Stokes Equations: A Classification of Flows and Exact Solutions - Paperback

$114.75

by P. G. Drazin (Author), N. Riley (Author)The Navier-Stokes equations were firmly established in the 19th Century as the system of nonlinear partial differential equations which describe the motion of most commonly occurring fluids in air and water, and since that time exact solutions have been sought by scientists. Collectively these solutions allow a clear insight into the behavior of fluids, providing a vehicle for novel mathematical methods and a useful check for computations in fluid dy...

$100.89

by J. R. Norris (Author)In this rigorous account the author studies both discrete-time and continuous-time chains. A distinguishing feature is an introduction to more advanced topics such as martingales and potentials, in the established context of Markov chains. There are applications to simulation, economics, optimal control, genetics, queues and many other topics, and a careful selection of exercises and examples drawn both from theory and practice. This is an ideal text for seminars on ra...

Hodge Theory and Complex Algebraic Geometry I: Volume 1 - Paperback

$110.16

by Claire Voisin (Author), Leila Schneps (Translator)This is a modern introduction to Kaehlerian geometry and Hodge structure. Coverage begins with variables, complex manifolds, holomorphic vector bundles, sheaves and cohomology theory (with the latter being treated in a more theoretical way than is usual in geometry). The book culminates with the Hodge decomposition theorem. In between, the author proves the Kaehler identities, which leads to the hard Lefschetz theorem and the Hodge index th...

Geometry and Topology for Mesh Generation - Paperback

$97.92

by Herbert Edelsbrunner (Author)This book combines mathematics (geometry and topology), computer science (algorithms), and engineering (mesh generation) in order to solve the conceptual and technical problems in the combining of elements of combinatorial and numerical algorithms. The book develops methods from areas that are amenable to combination and explains recent breakthrough solutions to meshing that fit into this category. It should be an ideal graduate text for courses on mesh generat...

$124.83

by F. William Lawvere (Author), Stephen H. Schanuel (Author)In the last 60 years, the use of the notion of category has led to a remarkable unification and simplification of mathematics. Conceptual Mathematics, Second Edition, introduces the concept of 'category' for the learning, development, and use of mathematics, to both beginning students and general readers, and to practicing mathematical scientists. The treatment does not presuppose knowledge of specific fields, but rather develops, fr...

Analysis on Lie Groups: An Introduction - Hardcover

$189.72

by Jacques Faraut (Author)This self-contained text concentrates on the perspective of analysis, assuming only elementary knowledge of linear algebra and basic differential calculus. The author describes, in detail, many interesting examples, including formulas which have not previously appeared in book form. Topics covered include the Haar measure and invariant integration, spherical harmonics, Fourier analysis and the heat equation, Poisson kernel, the Laplace equation and harmonic functions...

Representations and Cohomology: Volume 1, Basic Representation Theory of Finite Groups and Associative Algebras - Paperback

$126.99

by D. J. Benson (Author)This is the first of two volumes providing an introduction to modern developments in the representation theory of finite groups and associative algebras, which have transformed the subject into a study of categories of modules. Thus, Dr. Benson's unique perspective in this book incorporates homological algebra and the theory of representations of finite-dimensional algebras. This volume is primarily concerned with the exposition of the necessary background material, an...

Groups, Graphs and Trees: An Introduction to the Geometry of Infinite Groups - Paperback

$90.27

by John Meier (Author)This outstanding new book presents the modern, geometric approach to group theory, in an accessible and engaging approach to the subject. Topics include group actions, the construction of Cayley graphs, and connections to formal language theory and geometry. Theorems are balanced by specific examples such as Baumslag-Solitar groups, the Lamplighter group and Thompson's group. Only exposure to undergraduate-level abstract algebra is presumed, and from that base the core t...

Graded Exercises in Pure Mathematics - Paperback

$38.05

by Barrie Hunt (Author)Here is a wide-ranging collection of exercises for homework, practice and revision. This series covers all areas of A and AS level mathematics, including optional topics, and has been designed for the new specifications. In each section of the book the questions are graded into four sections: Basic, covering the fundamentals of the topic; Intermediate, with questions of examination standard - including many from past papers; Advanced, designed to challenge the most able...

$116.28

by George E. Andrews (Author)This book develops the theory of partitions. Simply put, the partitions of a number are the ways of writing that number as sums of positive integers. For example, the five partitions of 4 are 4, 3+1, 2+2, 2+1+1, and 1+1+1+1. Surprisingly, such a simple matter requires some deep mathematics for its study. This book considers the many theoretical aspects of this subject, which have in turn recently found applications to statistical mechanics, computer science and ot...

Vorticity and Incompressible Flow - Paperback

$160.65

by Andrew J. Majda (Author), Andrea L. Bertozzi (Author)This comprehensive introduction to the mathematical theory of vorticity and incompressible flow begins with the elementary introductory material and leads into current research topics. While the book centers on mathematical theory, many parts also showcase the interaction among rigorous mathematical theory, numerical, asymptotic, and qualitative simplified modeling, and physical phenomena. The first half forms an introductory graduate co...

A Course of Pure Mathematics Centenary Edition - Paperback

$105.57

by G. H. Hardy (Author), T. W. Körner (Foreword by)Celebrating 100 years in print with Cambridge, this newly updated edition includes a foreword by T. W. K rner, describing the huge influence the book has had on the teaching and development of mathematics worldwide. There are few textbooks in mathematics as well-known as Hardy's Pure Mathematics. Since its publication in 1908, this classic book has inspired successive generations of budding mathematicians at the beginning of their undergradua...

First Course Mathematical Analysis - Paperback

$143.64

by David Alexander Brannan (Author)Mathematical Analysis (often called Advanced Calculus) is generally found by students to be one of their hardest courses in Mathematics. This text uses the so-called sequential approach to continuity, differentiability and integration to make it easier to understand the subject.Topics that are generally glossed over in the standard Calculus courses are given careful study here. For example, what exactly is a 'continuous' function? And how exactly can one giv...

Foundations of Convex Geometry - Paperback

$107.10

by W. a. Coppel (Author)This book presents the foundations of Euclidean geometry from the point of view of mathematics, taking advantage of all the developments since the appearance of Hilbert's classic work. Here, real affine space is characterized by a small number of axioms involving points and line segments making the treatment self-contained and thorough. This treatment is accessible for final year undergraduates and graduate students, and can also serve as an introduction to other areas...

The Emergence of Probability: A Philosophical Study of Early Ideas about Probability, Induction and Statistical Inference - Paperback

$32.40

by Ian Hacking (Author)Historical records show that there was no real concept of probability in Europe before the mid-seventeenth century, although the use of dice and other randomizing objects was commonplace. Ian Hacking presents a philosophical critique of early ideas about probability, induction, and statistical inference and the growth of this new family of ideas in the fifteenth, sixteenth, and seventeenth centuries. Hacking invokes a wide intellectual framework involving the growth of ...

Principles of Statistical Inference - Paperback

$87.21

by D. R. Cox (Author)In this definitive book, D. R. Cox gives a comprehensive and balanced appraisal of statistical inference. He develops the key concepts, describing and comparing the main ideas and controversies over foundational issues that have been keenly argued for more than two-hundred years. Continuing a sixty-year career of major contributions to statistical thought, no one is better placed to give this much-needed account of the field. An appendix gives a more personal assessment o...

$123.12

by H. Davenport (Author)Now into its Eighth edition, The Higher Arithmetic introduces the classic concepts and theorems of number theory in a way that does not require the reader to have an in-depth knowledge of the theory of numbers The theory of numbers is considered to be the purest branch of pure mathematics and is also one of the most highly active and engaging areas of mathematics today. Since earlier editions, additional material written by J. H. Davenport has been added, on topics suc...

Data Analysis Using Regression and Multilevel Hierarchical Models - Paperback

$121.41

by Andrew Gelman (Author), Jennifer Hill (Author)Data Analysis Using Regression and Multilevel/Hierarchical Models is a comprehensive manual for the applied researcher who wants to perform data analysis using linear and nonlinear regression and multilevel models. The book introduces a wide variety of models, whilst at the same time instructing the reader in how to fit these models using available software packages. The book illustrates the concepts by working through scores of real data examp...

Pappus of Alexandria and the Mathematics of Late Antiquity - Hardcover

$194.31

by Serafina Cuomo (Author)This book is at once an analytical study of one of the most important mathematical texts of antiquity, the Mathematical Collection of the fourth-century AD mathematician Pappus of Alexandria, and also an examination of the work's wider cultural setting. This is one of very few books to deal extensively with the mathematics of Late Antiquity. It sees Pappus' text as part of a wider context and relates it to other contemporary cultural practices and opens new avenues t...

$114.75

by J. V. Armitage (Author), W. F. Eberlein (Author)In its first six chapters, this text presents the basic ideas and properties of the Jacobi elliptic functions as a historical essay. Accordingly, it is based on the idea of inverting integrals which arise in the theory of differential equations and, in particular, the differential equation that describes the motion of a simple pendulum. The later chapters present a more conventional approach to the Weierstrass functions and to elliptic integr...

Practical Statistics for Astronomers - Paperback

$96.39

by J. V. Wall (Author), C. R. Jenkins (Author)Astronomy needs statistical methods to interpret data, but statistics is a many-faceted subject that is difficult for non-specialists to access. This handbook helps astronomers analyze the complex data and models of modern astronomy. This Second Edition has been revised to feature many more examples using Monte Carlo simulations, and now also includes Bayesian inference, Bayes factors and Markov chain Monte Carlo integration. Chapters cover basic ...

$91.80

by M. Aschbacher (Author)This second edition develops the foundations of finite group theory. For students already exposed to a first course in algebra, it serves as a text for a course on finite groups. For the reader with some mathematical sophistication but limited knowledge of finite group theory, the book supplies the basic background necessary to begin to read journal articles in the field. It also provides the specialist in finite group theory with a reference on the foundations of the...

An Introduction to K-Theory for C*-Algebras - Paperback

$102.51

by M. Rørdam (Author), F. Larsen (Author), N. Laustsen (Author)Over the past twenty-five years K-theory has become an integrated part of the study of C*-algebras. This book gives a very elementary introduction to this interesting and rapidly growing area of mathematics. The authors cover the basic properties of the functors K and K1 and their interrelationship. In particular, the Bott periodicity theorem is proved (Atiyah's proof), and the six-term exact sequence is derived. The theory is wel...

Origami, Eleusis, and the Soma Cube - Paperback

$24.82

by Martin Gardner (Author)Martin Gardner continues to delight readers in Origami, Eleusis, and the Soma Cube, which is the second volume in the new Cambridge series, The New Martin Gardner Mathematical Library, based off his enormously popular Scientific American columns. He introduces young and old readers alike to the Generalized Ham Sandwich Theorem, origami, digital roots, magic squares, the mathematics of cooling coffee, the induction game of Eleusis, Dudeney puzzles, the maze at Hampton...