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by Alfred Gray (Author), Mike Mezzino (Author), Mark Pinsky (Author)The purpose of this companion volume to our text is to provide instructors (and eventu- ally students) with some additional information to ease the learning process while further documenting the implementations of Mathematica and ODE. In an ideal world this volume would not be necessary, since we have systematically worked to make the text unambiguous and directly useful, by providing in the text worked examples of every tech...
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by W. B. Raymond Lickorish (Author)This volume is an introduction to Knot Theory. It includes a selection of topics which graduate students have found to be a successful introduction to the field and employs three distinct techniques; Algebraic Topology, Combinatorics, and Algebraic Topology. Each topic is developed until a significant result is achieved and chapters end with exercises and brief accounts of state-of-the-art research.Back JacketThis volume is an introduction to mathematical kn...
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by John M. Lee (Author)This text 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 introducing and demonstrating all the main technical tools needed for a more advanced course on Riemannian manifolds. Number of Pages: 226 Dimensions: 0.63 x 9.21 x 6.14 IN Illustrated: Yes Publication Date: January 01, 2001
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by M. B. Monagan (Other), Waterloo Maple Incorporated (Author), K. O. Geddes (Other)Maple V Mathematics Programming Guide is the fully updated language and programming reference for Maple V Release 5. It presents a detailed description of Maple V Release 5 - the latest release of the powerful, interactive computer algebra system used worldwide as a tool for problem-solving in mathematics, the sciences, engineering, and education. Number of Pages: 379 Dimensions: 0.73 x 9.23 x 7.06 IN Publicat...
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by Ronald G. Douglas (Author)Operator theory is a diverse area of mathematics which derives its impetus and motivation from several sources. The intention of this book is to discuss certain advanced topics in operator theory and to provide the necessary background for them assuming only the standard senior-first year graduate courses in general topology, measure theory, and algebra. This new edition will appeal to a new generation of students seeking an introduction to operator theory. Number...
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by Saunders Mac Lane (Author)This new edition of Categories for the Working Mathematician includes a number of revisions and additions, including two new chapters on topics of active interest. One is on symmetric monoidal categories and braided monoidal categories and the coherence theorems for them. The second describes 2-categories and the higher dimensional categories which have recently come into prominence. The bibliography has also been expanded to cover some of the many other recent ad...
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by Tsit-Yuen Lam (Author)This is the long awaited sequel to Lam's earlier GTM 131 "A First Course in Noncommutative Ring Theory" and is intended to be used for lecturing, seminar- and self-study, and for general reference. It is focused more on specific topics in order to introduce the reader to a wealth of basic and useful ideas without the hindrance of heavy machinery or undue abstractions. This volume is particularly user- friendly with its abundance of examples illustrating the theory vir...
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by Joe Harris (Author), Ian Morrison (Author)This book provides a guide to a rich and fascinating subject: algebraic curves and how they vary in families. The aim has been to provide a broad but compact overview of the field which will be accessible to readers with a modest background in algebraic geometry. With over 180 exercises and 70 figures. Number of Pages: 369 Dimensions: 0.7 x 9.26 x 6.15 IN Illustrated: Yes Publication Date: July 01, 1998
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by Bela Bollobas (Author)Graph theory should be part of the education of every serious student of mathematics and computer science, both for its own sake and to enhance the appreciation of mathematics as a whole. This book is an in -depth account of graph theory, written with such a student in mind; it reflects the current state of the subject and emphasizes connections with other branches of pure mathematics. The volume grew out of the author's earlier book, Graph Theory, but its length is w...
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by Paulo Ribenboim (Author)Preliminary Booksellers Text: Do Not Use. In 1995, Andrew Wiles published two papers containing a proof of Fermat's Last Theorem. BRAVO FOR THIS GREAT MATHEMATICAL FEAT! Nevertheless, one shouldn't dismiss the earlier attempts to solve the problems. From giants in mathematics to clever amateurs, all did their best. In this book, aimed at amateurs, teachers, and mathematicians curious about the unfolding of the subject, the author restricts his attention exclusively ...
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by James E. Gentle (Author)Linear algebra is one of the most imprortant mathematical and computational tools in the sciences. A knowledge of linear algebra is essential for research in statistics or the application of statistics. This book presents the aspects of numerical linear algebra that are important to statisticians. Number of Pages: 221 Dimensions: 0.65 x 9.51 x 6.39 IN Illustrated: Yes Publication Date: August 13, 1998
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by Joseph Rotman (Author)This text offers a clear, efficient exposition of Galois Theory with complete proofs and exercises. Topics include: cubic and quartic formulas; Fundamental Theory of Galois Theory; insolvability of the quintic; Galois's Great Theorem (solvability by radicals of a polynomial is equivalent to solvability of its Galois Group); and computation of Galois groups of cubics and quartics. There are appendices on group theory, ruler-compass constructions, and the early history ...
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by Shankar Sastry (Author)This book presents the most recent results in analysis stability and control of dynamical systems, written by one of the leading researchers in the area. The treatment is of necessity both mathemtically rigorous and abstract, so as to cover several applications simultaneously. The book should be suitable for graduate courses in nonlinear control. Number of Pages: 668 Dimensions: 1.45 x 9.55 x 6.5 IN Illustrated: Yes Publication Date: June 22, 1999
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by Serge Lang (Author)This is the fourth edition of Serge Lang's Complex Analysis. The first part of the book covers the basic material of complex analysis, and the second covers many special topics, such as the Riemann Mapping Theorem, the gamma function, and analytic continuation. Power series methods are used more systematically than in other texts, and the proofs using these methods often shed more light on the results than the standard proofs do. Number of Pages: 489 Dimensions: 1.3 x 9....
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by Allen C. Hibbard (Author), Kenneth M. Levasseur (Author)"Exploring Abstract Algebra with Mathematica" provides both students and instructors working in the area of abstract algebra with a heretofore not available set of powerful computational tools and visual aids to readily deal with these very complex mathematical concepts. Number of Pages: 467 Dimensions: 0.99 x 9.21 x 7.06 IN Illustrated: Yes Publication Date: February 19, 1999
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by Serge Lang (Author)This text provides an introduction to basic concepts in differential topology, differential geometry, and differential equations, and some of the main basic theorems in all three areas. Although the book grew out of the author's earlier book "Differential and Riemannian Manifolds", the focus has now changed from the general theory of manifolds to general differential geometry. Number of Pages: 540 Dimensions: 1.18 x 9.51 x 6.37 IN Publication Date: December 30, 1998
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by David Eisenbud (Author), Joe Harris (Author)This text is intended to fill the gap between texts on classical algebraic geometry and the full-blown accounts of the theory of schemes. The text focuses on interesting examples, with a minimum of machinery, to show what is happening in the field. Included is a large number of exercises, spread throughout the text. The prerequisites for reading this book are modest: a little commutative algebra and an acquaintance with algebraic varieties. Numbe...
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by Robin Hartshorne (Author)Preliminary Booksellers Text: Do Not Use This book takes Euclid's "Elements" ad the starting point for a study of geometry from a modern mathematical perspective. To begin, the reader will become familiar with the content of Euclid's work, at least those parts which deal with geometry. At a second level, the book studies the logical structure of Euclid's presentation. Euclid's "Elements" has been regarded for more than two thousand years as the prime example of the...
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by L. Kay (Translator), Klaus Jänich (Author)Classical vector analysis deals with vector fields; the gradient, divergence, and curl operators; line, surface, and volume integrals; and the integral theorems of Gauss, Stokes, and Green. 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 and reinterprets it from the classical viewpoint (and with the classical notation)...
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by Alain M. Robert (Author)Kurt Hensel (1861-1941) discovered the p-adic numbers around the turn of the century. These exotic numbers (or so they appeared at first) are now well-established in the mathematical world and used more and more by physicists as well. This book offers a self-contained presentation of basic p-adic analysis. The author is especially interested in the analytical topics in this field. Number of Pages: 438 Dimensions: 1.07 x 9.58 x 6.39 IN Illustrated: Yes Publication Da...
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by Joel L. Schiff (Author)Preliminary Text. Do not use. The Laplace transform is a wonderful tool for solving ordinary and partial differential equations, and has enjoyed much success in this realm. But with its success, a certain casualness has been bred concerning its application, without much regard for hypotheses and when they are valid. In the present text, the author brings to the subject a certain amount of mathematical correctness and makes it accessible to undergraduates. Number of P...
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by David Marker (Author)Preliminary Text. Do not use. This book offers an introductory course in model theory emphasizing connections to algebra. It will be an appropriate introduction both for graduate students interested in advanced work in model theory and for students and researchers in logic or algebra who want to learn the basic results and themes of model theory. In the end, the reader will have a firm background in model theory and be well motivated and well prepared for more advanced...
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by Sam Efromovich (Author)This self-contained book is an introduction to nonparametric curve estimation theory. Number of Pages: 414 Dimensions: 0.98 x 9.56 x 6.38 IN Illustrated: Yes Publication Date: August 05, 1999
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by Serge Lang (Author)For many years Serge Lang has given talks to undergraduates on selected items in mathematics which could be extracted at a level understandable by students who have had calculus. Written in a conversational tone, Lang now presents a collection of those talks as a book. The talks could be given by faculty, but even better, they may be given by students in seminars run by the students themselves. Number of Pages: 121 Dimensions: 0.41 x 9.25 x 6.17 IN Illustrated: Yes Publi...
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by John Talbot (Editor), Chuanming Zong (Author)Sphere Packings is one of the most attractive and challenging subjects in mathematics. Almost 4 centuries ago, Kepler studied the densities of sphere packings and made his famous conjecture. In the course of centuries, many exciting results have been obtained, ingenious methods created, related challenging problems proposed, and many surprising connections with other subjects found. This book tries to give a full account of this fascinating subj...
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by Jim Albert (Author), Jay Bennett (Author)This revised and updated softcover edition of the 2001 SABR-Award- winning original edition works with new baseball data. An index will be added. Number of Pages: 410 Dimensions: 1.11 x 9.66 x 6.4 IN Publication Date: June 08, 2001
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by Kevin McGarigal (Author), Samuel A. Cushman (Author), Susan Stafford (Author)This book gives the reader a solid conceptual understanding of the role of multivariate statistics in ecological applications and the relationships among various techniques, while avoiding detailed mathematics and theory. More important, the reader gains insight into the type of research questions best handled by each technique and the considerations in applying each one. The book is targeted for upper-division an...
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by R. MacKenzie (Editor), M. B. Paranjape (Editor), W. J. Zakrzewski (Editor)Solitons were discovered by John Scott Russel in 1834, and have interested scientists and mathematicians ever since. They have been the subject of a large body of research in a wide variety of fields of physics and mathematics, not to mention engineering and other branches of science such as biology. This volume comprises the written versions of the talks presented at a workshop held at Queen's University in 1997, an...
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by Paulo Ribenboim (Author)This is a selection of expository essays by Paulo Ribenboim, the author of such popular titles as "The New Book of Prime Number Records" and "The Little Book of Big Primes". The book contains essays on Fibonacci numbers, prime numbers, Bernoulli numbers, and historical presentations of the main problems pertaining to elementary number theory, such as for instance Kummer's work on Fermat's Last Theorem. The essays are written in a light and humorous language without ...
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by M. Scott Osborne (Author)This book is intended for one-quarter or one semester-courses in homological algebra. The aim is to cover Ext and Tor early, and still have enough material for a one-semester course going off in any of several possible directions. The prerequisite for this book is a graduate algebra course. The book can also be used for independent study. Number of Pages: 398 Dimensions: 0.95 x 9.58 x 6.46 IN Illustrated: Yes Publication Date: May 19, 2000
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by Carl M. Bender (Author), Steven a. Orszag (Author)Intended for graduate students and advanced undergraduates, this book gives a clear, practical and self-contained presentation of the methods of asymptotics and perturbation theory for obtaining approximate analytical solutions to differential and difference equations. These methods allow one to analyze physics and engineering problems that may not be solvable in closed form and for which brute- force numerical methods may not provide usefu...
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by Arthur T. Winfree (Author)This is an update of a classic mathematical biology book by an author who is a leader in the field. It deals with dynamics of processes that repeat themselves regularly. This cycle of change is an ubiquitous principle of organization in living systems. In this new edition the author addresses areas that have come to fruition since 1980 and also concentrates on areas which he personally feels will see much activity in future. Number of Pages: 779 Dimensions: 2 x 10...