An edition of A Book of Abstract Algebra (1982)

A book of abstract algebra

2nd ed.
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Last edited by MARC Bot
September 1, 2025 | History
An edition of A Book of Abstract Algebra (1982)

A book of abstract algebra

2nd ed.
  • 5.0 (1 rating)
  • 14 Want to read
  • 2 Have read

"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. Intended for undergraduate courses in abstract algebra, it is suitable for junior- and senior-level math majors and future math teachers. This second edition features additional exercises to improve student familiarity with applications. An introductory chapter traces concepts of abstract algebra from their historical roots. Succeeding chapters avoid the conventional format of definition-theorem-proof-corollary-example; instead, they take the form of a discussion with students, focusing on explanations and offering motivation. Each chapter rests upon a central theme, usually a specific application or use. The author provides elementary background as needed and discusses standard topics in their usual order. He introduces many advanced and peripheral subjects in the plentiful exercises, which are accompanied by ample instruction and commentary and offer a wide range of experiences to students at different levels of ability."--Publisher's description.

Publish Date
Publisher
McGraw-Hill
Language
English
Pages
384

Buy this book

Previews available in: English

Edition Availability
Cover of: Book of Abstract Algebra
Book of Abstract Algebra: Second Edition
2012, Dover Publications, Incorporated
in English
Cover of: A book of abstract algebra
A book of abstract algebra
2010, Dover Publications
in English - Dover ed.
Cover of: A book of abstract algebra
A book of abstract algebra
2010, Dover Publications
in English - Dover ed.
Cover of: A book of abstract algebra
A book of abstract algebra
2010, Dover Publications
in English - Dover ed.
Cover of: A Book of Abstract Algebra
A Book of Abstract Algebra
May 6, 2003, McGraw-Hill Science/Engineering/Math
Paperback in English - 2 edition
Cover of: A Book of Abstract Algebra
A Book of Abstract Algebra
May 6, 2003, McGraw-Hill Science/Engineering/Math
in English
Cover of: A book of abstract algebra
A book of abstract algebra
1990, McGraw-Hill
Hardcover in English - 2nd ed.
Cover of: A Book of abstract algebra
A Book of abstract algebra
1990, McGraw-Hill
in English - 2nd ed.
Cover of: A book of abstract algebra
A book of abstract algebra
1982, McGraw-Hill
in English

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Book Details


Table of Contents

Why abstract algebra?
Operations
The definition of groups
Elementary properties of groups
Subgroups
Functions
Groups of permutations
Permutations of a finite set
Isomorphism
Order of group elements
Cyclic groups
Partitions and equivalence relations
Counting cosets
Homomorphisms
Quotient groups
The fundamental homomorphism theorem
Rings: definitions and elementary properties
Ideals and homomorphisms
Quotient rings
Integral domains
The integers
Factoring into primes
Elements of number theory (optional)
Rings of polynomials
Factoring polynomials
Substitution in polynomials
Extensions of fields
Vector spaces
Degrees of field extensions
Ruler and compass
Galois theory: preamble
Galoir theory: the heart of the matter
Solving equations by radicals
Appendixes.
Review of set theory
Review of the integers
Review of mathematical induction
Answers to selected exercises

Edition Notes

Includes index.

Published in
New York
Series
International series in pure and applied mathematics
Copyright Date
1990

Classifications

Dewey Decimal Class
512/.02
Library of Congress
QA162 .P56 1990, QA162.P56 1990

The Physical Object

Format
Hardcover
Pagination
xviii, 384 p.
Number of pages
384
Dimensions
24 x x centimeters

Edition Identifiers

Open Library
OL2212538M
ISBN 10
0070501386
ISBN 13
9780070501386
LCCN
89035355
OCLC/WorldCat
19922696
LibraryThing
51989
Goodreads
2896438

Work Identifiers

Work ID
OL283950W

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Download catalog record: RDF / JSON / OPDS | Wikipedia citation
September 1, 2025 Edited by MARC Bot import existing book
March 28, 2025 Edited by ImportBot Redacting ocaids
November 5, 2022 Edited by dcapillae Merge works (MRID: 22516)
September 3, 2022 Edited by Stew Update covers
April 1, 2008 Created by an anonymous user Imported from Scriblio MARC record