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by J. E. Humphreys (Author)This book is designed to introduce the reader to the theory of semisimple Lie algebras over an algebraically closed field of characteristic 0, with emphasis on representations. A good knowledge of linear algebra (including eigenvalues, bilinear forms, euclidean spaces, and tensor products of vector spaces) is presupposed, as well as some acquaintance with the methods of abstract algebra. The first four chapters might well be read by a bright undergraduate; however, ...
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by J. E. Humphreys (Author)This book is designed to introduce the reader to the theory of semisimple Lie algebras over an algebraically closed field of characteristic 0, with emphasis on representations. A good knowledge of linear algebra (including eigenvalues, bilinear forms, euclidean spaces, and tensor products of vector spaces) is presupposed, as well as some acquaintance with the methods of abstract algebra. The first four chapters might well be read by a bright undergraduate; however, ...
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by Oscar Zariski (Author), I. S. Cohen (Other), Pierre Samuel (Author)From the Preface: "We have preferred to write a self-contained book which could be used in a basic graduate course of modern algebra. It is also with an eye to the student that we have tried to give full and detailed explanations in the proofs... We have also tried, this time with an eye to both the student and the mature mathematician, to give a many-sided treatment of our topics, not hesitating to offer several proofs of ...
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by Paul R. Halmos (Author)Useful both as a text for students and as a source of reference for the more advanced mathematician, this book presents a unified treatment of that part of measure theory which is most useful for its application in modern analysis. The text is suitable for the beginning graduate student as well as the advanced undergraduate. Number of Pages: 304 Dimensions: 0.9 x 9.44 x 6 IN Publication Date: January 01, 1974
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by John L. Kelley (Author)Aimed at graduate math students, this classic work is a systematic exposition of general topology and is intended to be a reference and a text. As a reference, it offers a reasonably complete coverage of the area, resulting in a more extended treatment than normally given in a course. As a text, the exposition in the earlier chapters proceeds at a pedestrian pace. A preliminary chapter covers those topics requisite to the main body of work. Number of Pages: 298 Dimen...
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by P. R. Halmos (Author)Every mathematician agrees that every mathematician must know some set theory; the disagreement begins in trying to decide how much is some. This book contains my answer to that question. The purpose of the book is to tell the beginning student of advanced mathematics the basic set- theoretic facts of life, and to do so with the minimum of philosophical discourse and logical formalism. The point of view throughout is that of a prospective mathematician anxious to study...
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by James E. Humphreys (Author)James E. Humphreys is presently Professor of Mathematics at the University of Massachusetts at Amherst. Before this, he held the posts of Assistant Professor of Mathematics at the University of Oregon and Associate Professor of Mathematics at New York University. His main research interests include group theory and Lie algebras. He graduated from Oberlin College in 1961. He did graduate work in philosophy and mathematics at Cornell University and later received h...
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by Tom M. Apostol (Author)This introductory textbook is designed to teach undergraduates the basic ideas and techniques of number theory, with special consideration to the principles of analytic number theory. Among the strong points of the book are its clarity of exposition and a collection of exercises at the end of each chapter. The first ten chapters, with the exception of one section, are accessible to anyone with knowledge of elementary calculus; the last four chapters require some know...
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by Leonhard L. Scott (Translator), Jean-Pierre Serre (Author)This book consists of three parts, rather different in level and purpose. The first part was originally written for quantum chemists. It describes the correspondence, due to Frobenius, between linear representations and characters. The second part is a course given in 1966 to second-year students of l'Ecole Normale. The third part is an introduction to Brauer Theory. Number of Pages: 172 Dimensions: 0.67 x 9.52 x 6.34 IN Publication...
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by Harold M. Edwards (Author)This book is a genetic introduciton to algebraic number theory which follows the development of the subject in the work of Fermat, Kummer and others, motivating new ideas and techniques by explaining the problems which led to their creation. The central problem is the one indicated in the title, but many other basic questions of algebraic number thoery are also treated. Number of Pages: 407 Dimensions: 1 x 9.2 x 6.2 IN Illustrated: Yes Publication Date: July 18, 1977
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by U. Grenander (Author)Many persons have helped the author with comments and corrections, and I would like to mention D. E. McClure, I. Frolow, J. Silverstein, D. Town, and especially W. Freiberger for his helpful suggestions and encouragement. The work in Chapters 6 and 7 has been influenced and stimulated by discussions with other members of the Center for Neural Sciences, especially with L. Cooper and H. Kucera. I would like to thank F. John, J. P. LaSalle, L. Sirovich, and G. Whitham for...
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by Werner Greub (Author)This book is a revised version of the first edition and is intended as a Linear Algebra sequel and companion volume to the fourth edition of (Graduate Texts in Mathematics 23). As before, the terminology and basic results of Linear Algebra are frequently used without refer nce. In particular, the reader should be familiar with Chapters 1-5 and the first part of Chapter 6 of that book, although other sections are occasionally used. In this new version of Multilinear Alg...
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by John B. Conway (Author)This book is intended as a textbook for a first course in the theory of functions of one complex variable for students who are mathematically mature enough to understand and execute E - 8 arguments. The actual pre- requisites for reading this book are quite minimal; not much more than a stiff course in basic calculus and a few facts about partial derivatives. The topics from advanced calculus that are used (e.g., Leibniz's rule for differ- entiating under the integra...
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by L. a. Steen (Author), J. a. Jr. Seebach (Author)The creative process of mathematics, both historically and individually, may be described as a counterpoint between theorems and examples. Al- though it would be hazardous to claim that the creation of significant examples is less demanding than the development of theory, we have dis- covered that focusing on examples is a particularly expeditious means of involving undergraduate mathematics students in actual research. Not only are examples ...
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by J. a. Thorpe (Author)In the past decade there has been a significant change in the freshman/ sophomore mathematics curriculum as taught at many, if not most, of our colleges. This has been brought about by the introduction of linear algebra into the curriculum at the sophomore level. The advantages of using linear algebra both in the teaching of differential equations and in the teaching of multivariate calculus are by now widely recognized. Several textbooks adopting this point of view ar...
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by Robert J. Walker (Author)This book was written to furnish a starting point for the study of algebraic geometry. The topics presented and methods of presenting them were chosen with the following ideas in mind; to keep the treat- ment as elementary as possible, to introduce some of the recently devel- oped algebraic methods of handling problems of algebraic geometry, to show how these methods are related to the older analytic and geometric methods, and to apply the general methods to specif...
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by Marvin J. Greenberg (Translator), Jean-Pierre Serre (Author)The goal of this book is to present local class field theory from the cohomo- logical point of view, following the method inaugurated by Hochschild and developed by Artin-Tate. This theory is about extensions-primarily abelian-of "local" (i.e., complete for a discrete valuation) fields with finite residue field. For example, such fields are obtained by completing an algebraic number field; that is one of the aspects of "localisati...
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by Thomas W. Hungerford (Author)"Algebra" fulfills a definite need to provide a self-contained, one volume, graduate level algebra text that is readable by the average graduate student and flexible enough to accommodate a wide variety of instructors and course contents. It contains an unusually large number of illustrative exercises. Number of Pages: 504 Dimensions: 1.5 x 9.4 x 6.4 IN Publication Date: December 03, 1980
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by Kenneth S. Brown (Author)As a second year graduate textbook, Cohomology of Groups introduces students to cohomology theory (involving a rich interplay between algebra and topology) with a minimum of prerequisites. No homological algebra is assumed beyond what is normally learned in a first course in algebraic topology. The basics of the subject are given (along with exercises) before the author discusses more specialized topics. Number of Pages: 309 Dimensions: 0.75 x 9.21 x 6.14 IN Illust...
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by Serge Lang (Editor)The File is a collection of documents from a major dispute involving a number of American college professors, mainly mathematicians, statisticians, and sociologists. The controversy was ignited by the mathematician Serge Lang's reaction to a questionnaire, "The 1977 Survey of the American Professoriate", distributed by E. C. Ladd of the University of Connecticut and S. M. Lipset of Stanford. The ensuing discussion - in part acrimonious and personal - soon involved a larg...
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by Raoul Bott (Author), Loring W. Tu (Author)This text, developed from a first-year graduate course in algebraic topology, is an informal introduction to some of the main ideas of contemporary homotopy and cohomology theory. With its stress on concreteness, motivation, and readability "Differential Forms in Algebraic Topology" should be suitable for self-study or for a one- semester course in topology. Number of Pages: 338 Dimensions: 0.99 x 9.59 x 6.44 IN Illustrated: Yes Publication Date: M...
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by Fritz John (Author)This book is a very well-accepted introduction to the subject. In it, the author identifies the significant aspects of the theory and explores them with a limited amount of machinery from mathematical analysis. Now, in this fourth edition, the book has again been updated with an additional chapter on Lewy's example of a linear equation without solutions. Number of Pages: 251 Dimensions: 0.78 x 9.56 x 6.46 IN Illustrated: Yes Publication Date: December 09, 1981
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by G. E. Martin (Author)This book is a text for junior, senior, or first-year graduate courses traditionally titled Foundations of Geometry and/or Non- Euclidean Geometry. The first 29 chapters are for a semester or year course on the foundations of geometry. The remaining chap- ters may then be used for either a regular course or independent study courses. Another possibility, which is also especially suited for in-service teachers of high school geometry, is to survey the the fundamentals o...
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by George M. Phillips (Author)This book is aimed at advanced undergraduate students and graduate students and is intended for a course in numerical analysis and approximation theory. The author covers topics such as multivariate interpolation, Peano kernel theory, and the applications of q-integers to approximation theory, the latter of which have never been fully examined in book form before.Back Jacket This book covers the main topics concerned with interpolation and approximation by polyno...
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by Andre Heck (Author)This fully revised edition of the best-selling Introduction to Maple presents the modern computer algebra system Maple, teaching the reader not only what can be done by Maple, but also how and why it can be done. It provides the necessary background for those who want the most of Maple or want to extend its built-in knowledge, containing both elementary and more sophisticated examples as well as many exercises. The typical reader should have a background in mathematics a...
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by E. E. Moise (Author) Number of Pages: 94 Dimensions: 0.22 x 9.21 x 6.14 IN Publication Date: May 05, 1982
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by Serge Lang (Author)Introduction to Algebraic and Abelian Functions is a self-contained presentation of a fundamental subject in algebraic geometry and number theory. For this revised edition, the material on theta functions has been expanded, and the example of the Fermat curves is carried throughout the text. This volume is geared toward a second-year graduate course, but it leads naturally to the study of more advanced books listed in the bibliography. Number of Pages: 170 Dimensions: 0....
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by K. T. Smith (Author)This book discusses some of the first principles of modern analysis. I t can be used for courses at several levels, depending upon the background and ability of the students. It was written on the premise that today's good students have unexpected enthusiasm and nerve. When hard work is put to them, they work harder and ask for more. The honors course (at the University of Wisconsin) which inspired this book was, I think, more fun than the book itself. And better. But t...
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by S. Levy (Translator), K. Jänich (Author)Contents: Introduction. - Fundamental Concepts. - Topological Vector Spaces.- The Quotient Topology. - Completion of Metric Spaces. - Homotopy. - The Two Countability Axioms. - CW-Complexes. - Construction of Continuous Functions on Topological Spaces. - Covering Spaces. - The Theorem of Tychonoff. - Set Theory (by T. Brcker). - References. - Table of Symbols. -Index. Number of Pages: 193 Dimensions: 0.5 x 9.21 x 6.14 IN Illustrated: Yes Publication ...
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by Michael Renardy (Author), Robert C. Rogers (Author)Partial differential equations are fundamental to the modeling of natural phenomena; they arise in every field of science. Consequently, the desire to understand the solutions of these equations has always had a prominent place in the efforts of mathematicians; it has inspired such diverse fields as complex function theory, functional analysis, and algebraic topology. This book, meant for a beginning graduate student audience, provides a t...
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by T. y. Lam (Author)The first work of its kind, this volume offers a compendium of 400 exercises of varying degrees of difficulty in classical ring theory. All exercises are solved in full detail; many are accompanied by historical or bibliographical information, or a commentary on possible improvements and generalizations. The second edition contains 40 new exercises with their solutions. Number of Pages: 364 Dimensions: 0.92 x 9.52 x 6.3 IN Publication Date: September 12, 2003
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by Paul Glasserman (Author)This book is devoted to the use of Monte Carlo methods in finance and is the first of its kind in this area. It will serve as a reference for practitioners and researchers and will also be suitable as a graduate text for courses on computational finance.Back JacketMonte Carlo simulation has become an essential tool in the pricing of derivative securities and in risk management. These applications have, in turn, stimulated research into new Monte Carlo methods and re...