Elements of Abstract Algebra

Elements of Abstract Algebra Author Allan Clark
ISBN-10 9780486140353
Year 2012-07-06
Pages 224
Language en
Publisher Courier Corporation
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Lucid coverage of the major theories of abstract algebra, with helpful illustrations and exercises included throughout. Unabridged, corrected republication of the work originally published 1971. Bibliography. Index. Includes 24 tables and figures.

Elements of Modern Algebra

Elements of Modern Algebra Author Linda Gilbert
ISBN-10 9781285965918
Year 2014-01-01
Pages 528
Language en
Publisher Cengage Learning
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ELEMENTS OF MODERN ALGEBRA, Eighth Edition, with its user-friendly format, provides you with the tools you need to succeed in abstract algebra and develop mathematical maturity as a bridge to higher-level mathematics courses. Strategy boxes give you guidance and explanations about techniques and enable you to become more proficient at constructing proofs. A summary of key words and phrases at the end of each chapter help you master the material. A reference section, symbolic marginal notes, an appendix, and numerous examples help you develop your problem-solving skills. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

A History of Abstract Algebra

A History of Abstract Algebra Author Israel Kleiner
ISBN-10 9780817646851
Year 2007-09-20
Pages 168
Language en
Publisher Springer Science & Business Media
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This book does nothing less than provide an account of the intellectual lineage of abstract algebra. The development of abstract algebra was propelled by the need for new tools to address certain classical problems that appeared insoluble by classical means. A major theme of the book is to show how abstract algebra has arisen in attempting to solve some of these classical problems, providing a context from which the reader may gain a deeper appreciation of the mathematics involved. Mathematics instructors, algebraists, and historians of science will find the work a valuable reference.

Abstract Algebra

Abstract Algebra Author W. E. Deskins
ISBN-10 9780486158464
Year 2012-05-24
Pages 656
Language en
Publisher Courier Corporation
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Excellent textbook provides undergraduates with an accessible introduction to the basic concepts of abstract algebra and to the analysis of abstract algebraic systems. Features many examples and problems.

A Book of Abstract Algebra

A Book of Abstract Algebra Author Charles C Pinter
ISBN-10 9780486134796
Year 2012-05-11
Pages 400
Language en
Publisher Courier Corporation
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Accessible but rigorous, this outstanding text encompasses all of elementary abstract algebra's standard topics. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. 1990 edition.

Elements of Algebra

Elements of Algebra Author John Stillwell
ISBN-10 9781475739763
Year 2013-04-18
Pages 184
Language en
Publisher Springer Science & Business Media
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Algebra is abstract mathematics - let us make no bones about it - yet it is also applied mathematics in its best and purest form. It is not abstraction for its own sake, but abstraction for the sake of efficiency, power and insight. Algebra emerged from the struggle to solve concrete, physical problems in geometry, and succeeded after 2000 years of failure by other forms of mathematics. It did this by exposing the mathematical structure of geometry, and by providing the tools to analyse it. This is typical of the way algebra is applied; it is the best and purest form of application because it reveals the simplest and most universal mathematical structures. The present book aims to foster a proper appreciation of algebra by showing abstraction at work on concrete problems, the classical problems of construction by straightedge and compass. These problems originated in the time of Euclid, when geometry and number theory were paramount, and were not solved until th the 19 century, with the advent of abstract algebra. As we now know, alge bra brings about a unification of geometry, number theory and indeed most branches of mathematics. This is not really surprising when one has a historical understanding of the subject, which I also hope to impart.

Topics In Abstract Algebra second Edition

Topics In Abstract Algebra  second Edition Author P. Mukhopadhyay
ISBN-10 8173715513
Year 2006
Pages 436
Language en
Publisher Universities Press
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This book covers the elements of Abstract Algebra, which is a major mathematics course for undergraduate students all over the country and also for first year postgraduate students of many universities. It is designed according to the new UGC syllabus prescribed for all Indian universities.

Introduction to Abstract Algebra Third Edition

Introduction to Abstract Algebra  Third Edition Author T.A. Whitelaw
ISBN-10 0751401471
Year 1995-05-15
Pages 256
Language en
Publisher CRC Press
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The first and second editions of this successful textbook have been highly praised for their lucid and detailed coverage of abstract algebra. In this third edition, the author has carefully revised and extended his treatment, particularly the material on rings and fields, to provide an even more satisfying first course in abstract algebra.

Elements of Advanced Mathematics Third Edition

Elements of Advanced Mathematics  Third Edition Author Steven G. Krantz
ISBN-10 9781439898345
Year 2012-03-19
Pages 367
Language en
Publisher CRC Press
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For many years, this classroom-tested, best-selling text has guided mathematics students to more advanced studies in topology, abstract algebra, and real analysis. Elements of Advanced Mathematics, Third Edition retains the content and character of previous editions while making the material more up-to-date and significant. This third edition adds four new chapters on point-set topology, theoretical computer science, the P/NP problem, and zero-knowledge proofs and RSA encryption. The topology chapter builds on the existing real analysis material. The computer science chapters connect basic set theory and logic with current hot topics in the technology sector. Presenting ideas at the cutting edge of modern cryptography and security analysis, the cryptography chapter shows students how mathematics is used in the real world and gives them the impetus for further exploration. This edition also includes more exercises sets in each chapter, expanded treatment of proofs, and new proof techniques. Continuing to bridge computationally oriented mathematics with more theoretically based mathematics, this text provides a path for students to understand the rigor, axiomatics, set theory, and proofs of mathematics. It gives them the background, tools, and skills needed in more advanced courses.

Elements of Abstract Analysis

Elements of Abstract Analysis Author Mícheál O'Searcoid
ISBN-10 185233424X
Year 2001-11-09
Pages 300
Language en
Publisher Springer Science & Business Media
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While there are many books on functional analysis, Elements of Abstract Analysis takes a very different approach. Unlike other books, it provides a comprehensive overview of the elementary concepts of analysis while preparing students to cross the threshold of functional analysis. The book is written specifically for final-year undergraduate students who should already be familiar with most of the mathematical structures discussed. It reviews the concepts at a slightly greater level of abstraction and enables students to understand their place within the broad framework of set-based mathematics. The book has been clearly written and contains numerous exercises and examples, making it an a rigorous and self-contained introductory text on functional analysis.

Elements of Abstract Analysis

Elements of Abstract Analysis Author Mícheál O'Searcoid
ISBN-10 9781447101796
Year 2012-12-06
Pages 300
Language en
Publisher Springer Science & Business Media
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While there are many books on functional analysis, Elements of Abstract Analysis takes a very different approach. Unlike other books, it provides a comprehensive overview of the elementary concepts of analysis while preparing students to cross the threshold of functional analysis. The book is written specifically for final-year undergraduate students who should already be familiar with most of the mathematical structures discussed. It reviews the concepts at a slightly greater level of abstraction and enables students to understand their place within the broad framework of set-based mathematics. The book has been clearly written and contains numerous exercises and examples, making it an a rigorous and self-contained introductory text on functional analysis.

Topics in Applied Abstract Algebra

Topics in Applied Abstract Algebra Author S. R. Nagpaul
ISBN-10 0821874292
Year
Pages 324
Language en
Publisher American Mathematical Soc.
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This book presents interesting applications of abstract algebra to practical real-world problems. Especially for those whose interest in algebra is not confined to abstract theory, the text makes the study of abstract algebra more exciting and meaningful. The book is appropriate as either a text for an applied abstract algebra course or as a supplemental text for a standard course in abstract algebra. While fully developed, the algebraic theory presented is just what is required for the applications discussed in the book. This book is included in the Brooks/Cole Series in Advanced Mathematics (Series Editor: Paul Sally, Jr.).