Mathematics

10968 books

Stability, Instability and Chaos - Paperback

$157.59

by Paul Glendinning (Author)By providing an introduction to nonlinear differential equations, Dr. Glendinning aims to equip the student with the mathematical know-how needed to appreciate stability theory and bifurcations. His approach is readable and covers material both old and new to undergraduate courses. Included are treatments of the Poincaré-Bendixson theorem, the Hopf bifurcation and chaotic systems.Back JacketThis book examines qualitative methods for nonlinear differential equations...

$123.93

by Vivek S. Borkar (Author)This simple, compact toolkit for designing and analyzing stochastic approximation algorithms requires only a basic understanding of probability and differential equations. Although powerful, these algorithms have applications in control and communications engineering, artificial intelligence and economic modeling. Unique topics include finite-time behavior, multiple timescales and asynchronous implementation. There is a useful plethora of applications, each with con...

Handbook of Neural Activity Measurement - Hardcover

$191.25

by Romain Brette (Editor), Alain Destexhe (Editor)Neuroscientists employ many different techniques to observe the activity of the brain, from single-channel recording to functional imaging (fMRI). Many practical books explain how to use these techniques, but in order to extract meaningful information from the results it is necessary to understand the physical and mathematical principles underlying each measurement. This book covers an exhaustive range of techniques, with each chapter focusing...

Representations of Algebras and Related Topics - Paperback

$125.46

by H. Tachikawa (Editor), S. Brenner (Editor)This book contains important review articles on topics in and closely related to the Representation Theory of Algebras. Most of them contain major new results not published elsewhere. It appears at a time of increasing interaction between the Representation Theory of Algebras and other areas of mathematics (e.g. group representations, quantum groups, vector bundles, and C* saveebras). Several of the articles are concerned with such interactions or ...

$116.28

by Sanjeev Arora (Author), Boaz Barak (Author)This beginning graduate textbook describes both recent achievements and classical results of computational complexity theory. Requiring essentially no background apart from mathematical maturity, the book can be used as a reference for self-study for anyone interested in complexity, including physicists, mathematicians, and other scientists, as well as a textbook for a variety of courses and seminars. More than 300 exercises are included with a se...

$149.94

by Helmut Schwichtenberg (Author), Stanley S. Wainer (Author)Driven by the question, 'What is the computational content of a (formal) proof?', this book studies fundamental interactions between proof theory and computability. It provides a unique self-contained text for advanced students and researchers in mathematical logic and computer science. Part I covers basic proof theory, computability and G del's theorems. Part II studies and classifies provable recursion in classical systems, from f...

Elementary Theory of L-Functions and Eisenstein Series - Paperback

$180.54

by Haruzo Hida (Author)This book is a comprehensive and systematic account of the theory of p-adic and classical modular forms and the theory of the special values of arithmetic L-functions and p-adic L-functions. The approach is basically algebraic, and the treatment is elementary. No deep knowledge from algebraic geometry and representation theory is required. The author's main tool in dealing with these problems is taken from cohomology theory over Riemann surfaces, which is also explained...

$143.82

by Jouko Väänänen (Author)This gentle introduction to logic and model theory is based on a systematic use of three important games in logic: the semantic game; the Ehrenfeucht-Fra ss game; and the model existence game. The third game has not been isolated in the literature before but it underlies the concepts of Beth tableaux and consistency properties. Jouko V n nen shows that these games are closely related and in turn govern the three interrelated concepts of logic: truth, elementary equ...

$129.96

by Roger A. Horn (Author), Charles R. Johnson (Author)Linear algebra and matrix theory are fundamental tools in mathematical and physical science, as well as fertile fields for research. This new edition of the acclaimed text presents results of both classic and recent matrix analysis using canonical forms as a unifying theme, and demonstrates their importance in a variety of applications. The authors have thoroughly revised, updated, and expanded on the first edition. The book opens with an ...

Parallel Scientific Computing in C++ and Mpi: A Seamless Approach to Parallel Algorithms and Their Implementation - Paperback

$159.12

by George Em Karniadakis (Author), Robert M. Kirby II (Author)This book provides a seamless approach to numerical algorithms, modern programming techniques and parallel computing. These concepts and tools are usually taught serially across different courses and different textbooks, thus observing the connection between them. The necessity of integrating these subjects usually comes after such courses are concluded (e.g., during a first job or a thesis project), thus forcing the student to syn...

$169.83

by Martin Baxter (Author), Andrew Rennie (Author)Here is the first rigorous and accessible account of the mathematics behind the pricing, construction, and hedging of derivative securities. With mathematical precision and in a style tailored for market practioners, the authors describe key concepts such as martingales, change of measure, and the Heath-Jarrow-Morton model. Starting from discrete-time hedging on binary trees, the authors develop continuous-time stock models (including the Black...

Applied Analysis of the Navier-Stokes Equations - Paperback

$104.04

by Charles R. Doering (Author), J. D. Gibbon (Author)The Navier-Stokes equations are a set of nonlinear partial differential equations that describe the fundamental dynamics of fluid motion. They are applied routinely to problems in engineering, geophysics, astrophysics, and atmospheric science. This book is an introductory physical and mathematical presentation of the Navier-Stokes equations, focusing on unresolved questions of the regularity of solutions in three spatial dimensions, and the...

Geometric Group Theory: Volume 2 - Paperback

$162.18

by Graham A. Niblo (Editor), Martin A. Roller (Editor), J. W. S. Cassels (Editor)The articles in these two volumes arose from papers given at the 1991 International Symposium on Geometric Group Theory, and they represent some of the latest thinking in this area. Many of the world's leading figures in this field attended the conference, and their contributions cover a wide diversity of topics. This second volume contains solely a ground breaking paper by Gromov, which provides a fascinating lo...

$76.50

by Dietmar Salamon (Editor)The area of symplectic geometry has developed rapidly in the past ten years with major new discoveries that were motivated by and have provided links with many other subjects such as dynamical systems, topology, gauge theory, mathematical physics, and singularity theory. The contributions to this volume reflect the richness of the subject and include expository papers as well as original research. Number of Pages: 244 Dimensions: 0.55 x 9 x 6 IN Publication Date: Fe...

Two-Dimensional Homotopy and Combinatorial Group Theory - Paperback

$114.75

by Cynthia Hog-Angeloni (Editor), Wolfgang Metzler (Editor), Allan J. Sieradski (Editor)The geometric and algebraic aspects of two-dimensional homotopy theory are both important areas of current research. Basic work on two-dimensional homotopy theory dates back to Reidemeister and Whitehead. The contributors to this book consider the current state of research beginning with introductory chapters on low-dimensional topology and covering crossmodules, Peiffer-Reid identities, and concretely dis...

A Second Course in Mathematical Analysis - Paperback

$188.19

by J. C. Burkill (Author), H. Burkill (Author)The classic analysis textbook from Burkill and Burkill is now available in the Cambridge Mathematical Library. This straightforward course, based on the idea of a limit, is for students of mathematics and physics who have acquired a working knowledge of calculus and are ready for a more systematic approach. The treatment given here also brings in other limiting processes, such as the summation of infinite series and the expansion of trigonometric ...

A Mathematical Introduction to String Theory: Variational Problems, Geometric and Probabilistic Methods - Paperback

$84.15

by Sergio Albeverio (Author), Jurgen Jost (Author), Sylvie Paycha (Author)Classical string theory is concerned with the propagation of classical one-dimensional curves, i.e. "strings", and has connections to the calculus of variations, minimal surfaces and harmonic maps. The quantization of string theory gives rise to problems in different areas, according to the method used. The representation theory of Lie, Kac-Moody and Virasoro algebras has been used for such quantization. In this book, t...

Theory of Algebraic Invariants - Paperback

$79.56

by David Hilbert (Author), Reinhard C. Laubenbacher (Translator), Bernd Sturmfels (Introduction by)In the summer of 1897, David Hilbert (1862-1943) gave an introductory course in Invariant Theory at the University of Gottingen. This book is an English translation of the handwritten notes taken from this course by Hilbert's student Sophus Marxen. At that time his research in the subject had been completed, and his famous finiteness theorem had been proved and published in two papers that chang...

$102.51

by Peter J. Olver (Author)There has been a resurgence of interest in classical invariant theory driven by several factors: new theoretical developments; a revival of computational methods coupled with powerful new computer algebra packages; and a wealth of new applications, ranging from number theory to geometry, physics to computer vision. This book provides readers with a self-contained introduction to the classical theory as well as modern developments and applications. The text concentrat...

Dissections: Plane and Fancy - Paperback

$81.07

by Greg N. Frederickson (Author)Can you cut an octagon into five pieces and rearrange them into a square? How about turning a star into a pentagon? These are just two of the infinite challenges of geometric dissections, the mathematical art of cutting figures into pieces that can be rearranged to form other figures, using as few pieces as possible. Through the ages, geometric dissections have fascinated puzzle fans and great mathematicians alike. Here are dissections known to Plato and exciti...

$183.60

by Patrick Blackburn (Author), Maarten de Rijke (Author), Yde Venema (Author)This modern, advanced textbook reviews modal logic, a field which caught the attention of computer scientists in the late 1970's. The development is mathematical; prior acquaintance with first-order logic and its semantics is assumed, and familiarity with the basic mathematical notions of set theory is required. The authors focus on the use of modal languages as tools to analyze the properties of relational structure...

$125.46

by Jean-Yves Girard (Editor), Yves LaFont (Editor), Laurent Regnier (Editor)This volume gives an overview of linear logic in five parts: category theory; complexity and expressivity; proof theory; proof nets; and the geometry of interaction. The book includes a general introduction to linear logic that will ensure this book's use by the novice as well as the expert. Mathematicians and computer scientists will learn much from this book. Number of Pages: 400 Dimensions: 0.88 x 8.99 x 6.13 IN Pu...

An Introduction to Homological Algebra - Paperback

$123.93

by Charles A. Weibel (Author)The landscape of homological algebra has evolved over the past half-century into a fundamental tool for the working mathematician. This book provides a unified account of homological algebra as it exists today. The historical connection with topology, regular local rings, and semi-simple Lie algebras is also described. The first half of the book takes as its subject the canonical topics in homological algebra: derived functors, Tor and Ext, projective dimensions a...

An Introduction to Twistor Theory - Paperback

$102.51

by S. A. Huggett (Author), K. P. Tod (Author)This book is an introduction to twistor theory and modern geometrical approaches to space-time structure at the graduate or advanced undergraduate level. It will be valuable also to the physicist as an introduction to some of the mathematics that has proved useful in these areas, and to the mathematician as an example of where sheaf cohomology and complex manifold theory can be used in physics. Number of Pages: 192 Dimensions: 0.49 x 9 x 6.1 IN Ill...

Fourier Analysis on Finite Groups and Applications - Paperback

$131.58

by Audrey Terras (Author)This book gives a friendly introduction to Fourier analysis on finite groups, both commutative and noncommutative. Aimed at students in mathematics, engineering and the physical sciences, it examines the theory of finite groups in a manner both accessible to the beginner and suitable for graduate research. With applications in chemistry, error-correcting codes, data analysis, graph theory, number theory and probability, the book presents a concrete approach to abstrac...

Combinatorics: Topics, Techniques, Algorithms - Paperback

$182.97

by Peter J. Cameron (Author)Combinatorics is a subject of increasing importance because of its links with computer science, statistics, and algebra. This textbook stresses common techniques (such as generating functions and recursive construction) that underlie the great variety of subject matter, and the fact that a constructive or algorithmic proof is more valuable than an existence proof. The author emphasizes techniques as well as topics and includes many algorithms described in simple te...

Undergraduate Commutative Algebra - Paperback

$90.27

by Miles Reid (Author)In this well-written introduction to commutative algebra, the author shows the link between commutative ring theory and algebraic geometry. In addition to standard material, the book contrasts the methods and ideology of modern abstract algebra with concrete applications in algebraic geometry and number theory. Professor Reid begins with a discussion of modules and Noetherian rings before moving on to finite extensions and the Noether normalization. Sections on the nulls...

The Changing Shape of Geometry - Paperback

$105.55

by Mathematical Association of America (Author), Chris Pritchard (Author), Chris Pritchard (Editor)Celebrating a century of geometry and geometry teaching, this volume includes popular articles on Pythagoras, the golden ratio and recreational geometry. Thirty "Desert Island Theorems" from distinguished mathematicians and educators disclose surprising results. (Contributors include a Nobel Laureate and a Pulitzer Prize winner.) Co-published with The Mathematical Association of America. ...

The Laplacian on a Riemannian Manifold: An Introduction to Analysis on Manifolds - Hardcover

$263.16

by Steven Rosenberg (Author)This text on analysis on Riemannian manifolds is a thorough introduction to topics covered in advanced research monographs on Atiyah-Singer index theory. The main theme is the study of heat flow associated to the Laplacians on differential forms. This provides a unified treatment of Hodge theory and the supersymmetric proof of the Chern-Gauss-Bonnet theorem. In particular, there is a careful treatment of the heat kernel for the Laplacian on functions. The author de...

Cohen-Macaulay Rings: Revised Edition - Paperback

$185.13

by Winfried Bruns (Author), Bruns (Author), Jurgen (Author)In the past two decades Cohen-Macaulay rings and modules have been central topics in commutative algebra. This book meets the need for a thorough, self-contained introduction to the subject. The authors emphasize the study of explicit, specific rings, making the presentation as concrete as possible. The general theory is applied to a number of examples and the connections with combinatorics are highlighted. Throughout each chapter, th...

Young Tableaux: With Applications to Representation Theory and Geometry - Paperback

$96.39

by William Fulton (Author)This book develops the combinatorics of Young tableaux and shows them in action in the algebra of symmetric functions, representations of the symmetric and general linear groups, and the geometry of flag varieties. The first part of the book is a self-contained presentation of the basic combinatorics of Young tableaux, including the remarkable constructions of "bumping" and "sliding", and several interesting correspondences. In Part II the author uses these results t...

Potential Theory in the Complex Plane - Paperback

$114.75

by Thomas Ransford (Author)Ransford provides an introduction to the subject, concentrating on the important case of two dimensions, and emphasizing its links with complex analysis. This is reflected in the large number of applications, which include Picard's theorem, the Phragm n-Lindel f principle, the Rad -Stout theorem, Lindel f's theory of asymptotic values, the Riemann mapping theorem (including continuity at the boundary), the Koebe one-quarter theorem, Hilbert's lemniscate theorem, and...