Fundamental Concepts of Abstract Algebra

Fundamental Concepts of Abstract Algebra

Author: Gertrude Ehrlich

Publisher: Courier Corporation

Published: 2013-05-13

Total Pages: 354

ISBN-13: 0486291863

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This undergraduate text presents extensive coverage of set theory, groups, rings, modules, vector spaces, and fields. It offers numerous examples, definitions, theorems, proofs, and practice exercises. 1991 edition.


Abstract Algebra

Abstract Algebra

Author: W. E. Deskins

Publisher: Courier Corporation

Published: 2012-05-24

Total Pages: 660

ISBN-13: 0486158462

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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.


Introduction to the Theory of Abstract Algebras

Introduction to the Theory of Abstract Algebras

Author: Richard S Pierce

Publisher: Courier Corporation

Published: 2015-01-21

Total Pages: 162

ISBN-13: 0486789985

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"Suitable for introductory graduate-level courses and independent study, this text presents the basic definitions of the theory of abstract algebra. Following introductory material, each of four chapters focuses on a major theme of universal algebra: subdirect decompositions, direct decompositions, free algebras, and varieties of algebra. Problems and a bibliography supplement the text. "--


Basic Abstract Algebra

Basic Abstract Algebra

Author: P. B. Bhattacharya

Publisher: Cambridge University Press

Published: 1994-11-25

Total Pages: 512

ISBN-13: 9780521466295

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This book provides a complete abstract algebra course, enabling instructors to select the topics for use in individual classes.


Introduction to Abstract Algebra

Introduction to Abstract Algebra

Author: Benjamin Fine

Publisher: JHU Press

Published: 2014-07-01

Total Pages: 583

ISBN-13: 1421411776

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A new approach to abstract algebra that eases student anxieties by building on fundamentals. Introduction to Abstract Algebra presents a breakthrough approach to teaching one of math's most intimidating concepts. Avoiding the pitfalls common in the standard textbooks, Benjamin Fine, Anthony M. Gaglione, and Gerhard Rosenberger set a pace that allows beginner-level students to follow the progression from familiar topics such as rings, numbers, and groups to more difficult concepts. Classroom tested and revised until students achieved consistent, positive results, this textbook is designed to keep students focused as they learn complex topics. Fine, Gaglione, and Rosenberger's clear explanations prevent students from getting lost as they move deeper and deeper into areas such as abelian groups, fields, and Galois theory. This textbook will help bring about the day when abstract algebra no longer creates intense anxiety but instead challenges students to fully grasp the meaning and power of the approach. Topics covered include: • Rings • Integral domains • The fundamental theorem of arithmetic • Fields • Groups • Lagrange's theorem • Isomorphism theorems for groups • Fundamental theorem of finite abelian groups • The simplicity of An for n5 • Sylow theorems • The Jordan-Hölder theorem • Ring isomorphism theorems • Euclidean domains • Principal ideal domains • The fundamental theorem of algebra • Vector spaces • Algebras • Field extensions: algebraic and transcendental • The fundamental theorem of Galois theory • The insolvability of the quintic


A Book of Abstract Algebra

A Book of Abstract Algebra

Author: Charles C Pinter

Publisher: Courier Corporation

Published: 2010-01-14

Total Pages: 402

ISBN-13: 0486474178

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Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. This second edition features additional exercises to improve student familiarity with applications. 1990 edition.


Basic Abstract Algebra

Basic Abstract Algebra

Author: Robert B. Ash

Publisher: Courier Corporation

Published: 2013-06-17

Total Pages: 434

ISBN-13: 0486318117

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Relations between groups and sets, results and methods of abstract algebra in terms of number theory and geometry, and noncommutative and homological algebra. Solutions. 2006 edition.


Abstract Algebra

Abstract Algebra

Author: Derek J.S. Robinson

Publisher: Walter de Gruyter GmbH & Co KG

Published: 2015-05-19

Total Pages: 348

ISBN-13: 3110340879

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This is a high level introduction to abstract algebra which is aimed at readers whose interests lie in mathematics and in the information and physical sciences. In addition to introducing the main concepts of modern algebra, the book contains numerous applications, which are intended to illustrate the concepts and to convince the reader of the utility and relevance of algebra today. In particular applications to Polya coloring theory, latin squares, Steiner systems and error correcting codes are described. Another feature of the book is that group theory and ring theory are carried further than is often done at this level. There is ample material here for a two semester course in abstract algebra. The importance of proof is stressed and rigorous proofs of almost all results are given. But care has been taken to lead the reader through the proofs by gentle stages. There are nearly 400 problems, of varying degrees of difficulty, to test the reader's skill and progress. The book should be suitable for students in the third or fourth year of study at a North American university or in the second or third year at a university in Europe, and should ease the transition to (post)graduate studies.


A History of Abstract Algebra

A History of Abstract Algebra

Author: Israel Kleiner

Publisher: Springer Science & Business Media

Published: 2007-10-02

Total Pages: 175

ISBN-13: 0817646841

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This book explores the history of abstract algebra. It shows 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.