Mathematics

10968 books

$116.28

by Eiichi Abe (Author)The concept of Hopf algebras was first introduced in the theory of algebraic topology but in recent years has been developed by many mathematicians and applied to other areas of mathematics such as Lie groups, algebraic groups and Galois theory. This book is an introduction to the basic theory of Hopf algebras for the reader already familiar with the basic ideas of linear algebra and commutative algebra. After introducing and discussing the basic properties of coalgebras...

An Introduction to Nonlinear Analysis - Paperback

$113.22

by Martin Schechter (Author)The techniques used to solve nonlinear problems differ greatly from those dealing with linear features. Deriving all the necessary theorems and principles from first principles, this textbook gives upper undergraduates and graduate students a thorough understanding using as little background material as possible. Number of Pages: 382 Dimensions: 0.85 x 9 x 6 IN Publication Date: September 13, 2012

Analytic Methods for Diophantine Equations and Diophantine Inequalities - Paperback

$107.10

by H. Davenport (Author), T. D. Browning (Prepared by)Harold Davenport was one of the truly great mathematicians of the twentieth century. Based on lectures he gave at the University of Michigan in the early 1960s, this book is concerned with the use of analytic methods in the study of integer solutions to Diophantine equations and Diophantine inequalities. It provides an excellent introduction to a timeless area of number theory that is still as widely researched today as it was when the boo...

Elliptic Curves in Cryptography - Paperback

$149.94

by I. Blake (Author), G. Seroussi (Author), N. Smart (Author)In the past few years elliptic curve cryptography has moved from a fringe activity to a major system in the commercial world. This timely work summarizes knowledge gathered at Hewlett-Packard over a number of years and explains the mathematics behind practical implementations of elliptic curve systems. Since the mathematics is advanced, a high barrier to entry exists for individuals and companies new to this technology. Hence, this ...

Graded Exercises in Statistics - Paperback

$41.90

by Richard Norris (Author)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 stud...

Introduction to Algebraic Geometry - Paperback

$97.47

by Brendan Hassett (Author)Algebraic geometry, central to pure mathematics, has important applications in such fields as engineering, computer science, statistics and computational biology, which exploit the computational algorithms that the theory provides. Users get the full benefit, however, when they know something of the underlying theory, as well as basic procedures and facts. This book is a systematic introduction to the central concepts of algebraic geometry most useful for computatio...

Numerical Solution of Partial Differential Equations: An Introduction - Paperback

$138.51

by K. W. Morton (Author), D. F. Mayers (Author)This second edition of a highly successful graduate text presents a complete introduction to partial differential equations and numerical analysis. Revised to include new sections on finite volume methods, modified equation analysis, and multigrid and conjugate gradient methods, the second edition brings the reader up-to-date with the latest theoretical and industrial developments. First Edition Hb (1995): 0-521-41855-0 First Edition Pb (1995): 0...

$87.21

by Roger Koenker (Author)Quantile regression is gradually emerging as a unified statistical methodology for estimating models of conditional quantile functions. This monograph is the first comprehensive treatment of the subject, encompassing models that are linear and nonlinear, parametric and nonparametric. Roger Koenker has devoted more than 25 years of research to the topic. The methods in his analysis are illustrated with a variety of applications from economics, biology, ecology and fina...

Double Affine Hecke Algebras - Paperback

$168.30

by Ivan Cherednik (Author)This is a unique, essentially self-contained, monograph in a new field of fundamental importance for representation theory, harmonic analysis, mathematical physics, and combinatorics. It is a major source of general information about the double affine Hecke algebra, also called Cherednik's algebra, and its impressive applications. Chapter 1 is devoted to the Knizhnik-Zamolodchikov equations attached to root systems and their relations to affine Hecke algebras, Kac-Mo...

The Art of Mathematics: Coffee Time in Memphis - Paperback

$62.73

by Bela Bollobas (Author)Can a Christian escape from a lion? How quickly can a rumor spread? Can you fool an airline into accepting oversize baggage? Recreational mathematics is full of frivolous questions where the mathematician's art can be brought to bear. But play often has a purpose. In mathematics, it can sharpen skills, provide amusement, or simply surprise, and books of problems have been the stock-in-trade of mathematicians for centuries. This collection is designed to be sipped from...

Automorphic Forms and Representations - Paperback

$130.05

by Daniel Bump (Author)This book covers both the classical and representation theoretic views of automorphic forms in a style that is accessible to graduate students entering the field. The treatment is based on complete proofs, which reveal the uniqueness principles underlying the basic constructions. The book features extensive foundational material on the representation theory of GL(1) and GL(2) over local fields, the theory of automorphic representations, L-functions and advanced topics s...

Elliptic Curves: Function Theory, Geometry, Arithmetic - Paperback

$110.16

by Henry McKean (Author), Victor Moll (Author)The subject of elliptic curves is one of the jewels of nineteenth-century mathematics, whose masters were Abel, Gauss, Jacobi, and Legendre. This book presents an introductory account of the subject in the style of the original discoverers, with references to and comments about more recent and modern developments. It combines three of the fundamental themes of mathematics: complex function theory, geometry, and arithmetic. After an informal prepar...

Ergodic Theory and Topological Dynamics of Group Actions on Homogeneous Spaces - Paperback

$139.23

by M. Bachir Bekka (Author), Matthias Mayer (Author)The study of geodesic flows on homogeneous spaces is an area of research that has recently yielded some fascinating developments. This book focuses on many of these, with one of its highlights an elementary and complete proof by Margulis and Dani of Oppenheim's conjecture. Other features are self-contained treatments of an exposition of Ratner's work on Raghunathan's conjectures; a complete proof of the Howe-Moore vanishing theorem for gener...

Probability and Statistics by Example - Paperback

$169.29

by Yuri Suhov (Author), Mark Kelbert (Author)Probability and Statistics are as much about intuition and problem solving as they are about theorem proving. Because of this, students can find it very difficult to make a successful transition from lectures to examinations to practice, since the problems involved can vary so much in nature. Since the subject is critical in many modern applications such as mathematical finance, quantitative management, telecommunications, signal processing, bioinf...

$62.73

by Ein-Ya Gura (Author), Michael Maschler (Author)Few branches of mathematics have been more influential in the social sciences than game theory. In recent years, it has become an essential tool for all social scientists studying the strategic behaviour of competing individuals, firms and countries. However, the mathematical complexity of game theory is often very intimidating for students who have only a basic understanding of mathematics. Insights into Game Theory addresses this problem by ...

$159.03

by Miles Reid (Author), Balazs Szendroi (Author)Geometry is central to many branches of mathematics and physics, and offers a complete range of views on the universe. This introduction includes many simple explanations and examples. With minimal prerequisites, the book provides a first glimpse of many research topics in modern algebra, geometry and theoretical physics. The book is based on many years' teaching experience, and is thoroughly class-tested. There are copious illustrations, and ea...

An Introduction to Fluid Dynamics - Paperback

$155.61

by G. K. Batchelor (Author)First published in 1967, Professor Batchelor's classic work is still one of the foremost texts on fluid dynamics. His careful presentation of the underlying theories of fluids is still timely and applicable, even in these days of almost limitless computer power. This reissue ensures that a new generation of graduate students experiences the elegance of Professor Batchelor's writing. Number of Pages: 658 Dimensions: 1.5 x 9 x 6 IN Illustrated: Yes Publication Date: F...

Fundamentals of Hyperbolic Manifolds - Paperback

$156.06

by R. D. Canary (Editor), A. Marden (Editor), D. B. a. Epstein (Editor)This book includes reissued articles from two classic sources on hyperbolic manifolds. Part I is an exposition of some of Thurston's pioneering Princeton Notes, with a new introduction describing recent advances, including an up-to-date bibliography. Part II expounds the theory of convex hull boundaries: a new appendix describes recent work. Part III is Thurston's famous paper on earthquakes in hyperbolic geometry. The fin...

$64.26

by George S. Boolos (Author), John P. Burgess (Author), Richard C. Jeffrey (Author)Computability and Logic has become a classic because of its accessibility to students without a mathematical background and because it covers not simply the staple topics of an intermediate logic course, such as Godel's incompleteness theorems, but also a large number of optional topics, from Turing's theory of computability to Ramsey's theorem. Including a selection of exercises, adjusted for this edition, at ...

Methods of Mathematical Physics - Paperback

$177.84

by Harold Jeffreys (Author), Bertha Jeffreys (Author)This well-known text and reference contains an account of those mathematical methods that have applications in at least two branches of physics. The authors give examples of the practical use of the methods taken from a wide range of physics, including dynamics, hydrodynamics, elasticity, electromagnetism, heat conduction, wave motion and quantum theory. They pay particular attention to the conditions under which theorems hold. Helpful exer...

$116.26

by Peter R. Cromwell (Author)Polyhedra have cropped up in many different guises throughout recorded history. Recently, polyhedra and their symmetries have been cast in a new light by combinatorics and group theory. This unique text comprehensively documents the many and varied ways that polyhedra have come to the fore throughout the development of mathematics. The author strikes a balance between covering the historical development of the theory surrounding polyhedra and rigorous treatment of...

Senior Mathematical Challenge - Paperback

$56.34

by Tony Gardiner (Author)The latest addition to this popular series contains the National Mathematics Contest papers from 1988 to 1996, together with comments, hints and full solutions. Additional problems of a similar nature are included in the form of short multiple choice tests. Ideal for students aged 15-18, in class or for homework, and for students, teachers and parents either as practice material for the competition or a source of thought-provoking problems. Number of Pages: 186 Dimens...

Proofs and Confirmations: The Story of the Alternating-Sign Matrix Conjecture - Paperback

$81.09

by David M. Bressoud (Author)This introduction to recent developments in algebraic combinatorics illustrates how research in mathematics actually progresses. The author recounts the dramatic search for and discovery of a proof of a counting formula conjectured in the late 1970s: the number of n x n alternating sign matrices, objects that generalize permutation matrices. While it was apparent that the conjecture must be true, the proof was elusive. As a result, researchers became drawn to this...

Intro to Many-Valued & Fuzzy Logic - Paperback

$129.96

by Merrie Bergmann (Author)This volume is an accessible introduction to the subject of many-valued and fuzzy logic suitable for use in relevant advanced undergraduate and graduate courses. The text opens with a discussion of the philosophical issues that give rise to fuzzy logic - problems arising from vague language - and returns to those issues as logical systems are presented. For historical and pedagogical reasons, three-valued logical systems are presented as useful intermediate systems ...

Music: A Mathematical Offering - Paperback

$53.55

by Dave Benson (Author)Since the time of the Ancient Greeks, much has been written about the relation between mathematics and music: from harmony and number theory, to musical patterns and group theory. Benson provides a wealth of information here to enable the teacher, the student, or the interested amateur to understand, at varying levels of technicality, the real interplay between these two ancient disciplines. The story is long as well as broad and involves physics, biology, psycho acoust...

$100.98

by Richard W. Kaye (Author)This undergraduate textbook covers the key material for a typical first course in logic, in particular presenting a full mathematical account of the most important result in logic, the Completeness Theorem for first-order logic. Looking at a series of interesting systems, increasing in complexity, then proving and discussing the Completeness Theorem for each, the author ensures that the number of new concepts to be absorbed at each stage is manageable, whilst provid...

Cohomology of Vector Bundles and Syzygies - Hardcover

$260.10

by Jerzy Weyman (Author)The central theme of this book is a detailed exposition of the geometric technique of calculating syzygies. While this is an important tool in algebraic geometry, Jerzy Weyman has elected to write from the point of view of commutative algebra in order to avoid being tied to special cases from geometry. No prior knowledge of representation theory is assumed. Chapters on several applications are included, and numerous exercises will give the reader insight into how to ap...

A First Course in Fourier Analysis - Paperback

$168.30

by David W. Kammler (Author)This book provides a meaningful resource for applied mathematics through Fourier analysis. It develops a unified theory of discrete and continuous (univariate) Fourier analysis, the fast Fourier transform, and a powerful elementary theory of generalized functions and shows how these mathematical ideas can be used to study sampling theory, PDEs, probability, diffraction, musical tones, and wavelets. The book contains an unusually complete presentation of the Fourier...

Algebraic and Analytic Geometry - Paperback

$194.31

by Amnon Neeman (Author)This textbook, for an undergraduate course in modern algebraic geometry, recognizes that the typical undergraduate curriculum contains a great deal of analysis and, by contrast, little algebra. Because of this imbalance, it seems most natural to present algebraic geometry by highlighting the way it connects algebra and analysis; the average student will probably be more familiar and more comfortable with the analytic component. The book therefore focuses on Serre's GAG...

Fundamentals of Engineering Numerical Analysis - Paperback

$167.58

by Parviz Moin (Author)Since the original publication of this book, available computer power has increased greatly. Today, scientific computing is playing an ever more prominent role as a tool in scientific discovery and engineering analysis. In this second edition, the key addition is an introduction to the finite element method. This is a widely used technique for solving partial differential equations (PDEs) in complex domains. This text introduces numerical methods and shows how to develo...

Matched Sampling for Causal Effects - Paperback

$88.74

by Donald B. Rubin (Author)Matched sampling is often used to help assess the causal effect of some exposure or intervention, typically when randomized experiments are not available or cannot be conducted. This book presents a selection of Donald B. Rubin's research articles on matched sampling, from the early 1970s, when the author was one of the major researchers involved in establishing the field, to recent contributions to this now extremely active area. The articles include fundamental th...

The Principles of Mathematics Revisited - Paperback

$56.61

by Jaakko Hintikka (Author)This book, written by one of philosophy's preeminent logicians, argues that many of the basic assumptions common to logic, philosophy of mathematics and metaphysics are in need of change. Jaakko Hintikka proposes a new basic first-order logic and uses it to explore the foundations of mathematics. This new logic enables logicians to express on the first-order level such concepts as equicardinality, infinity, and truth in the same language. Hintikka's new logic is hig...