A Book of Abstract Algebra; Second Edition

Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra.

A Book of Abstract Algebra's 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.

Charles C. Pinter is Professor Emeritus of Mathematics at Bucknell University.

Chapter 1       Why Abstract AlgebraChapter 2       OperationsChapter 3       The Definition of GroupsChapter 4       Elementary Properties of GroupsChapter 5       SubgroupsChapter 6       FunctionsChapter 7       Groups of PermutationsChapter 8       Permutations of a Finite SetChapter 9       IsomorphismChapter 10     Order of Group ElementsChapter 11     Cyclic GroupsChapter 12     Partitions and Equivalence RelationsChapter 13     Counting CosetsChapter 14     HomomorphismChapter 15     Quotient GroupsChapter 16     The Fundamental Homomorphism TheoremChapter 17     Rings: Definitions and Elementary PropertiesChapter 18     Ideals and HomomorphismChapter 19     Quotient RingsChapter 20     Integral DomainsChapter 21     The IntegersChapter 22     Factoring into PrimesChapter 23     Elements of Number Theiory (Optional)Chapter 24     Rings of PolynomialsChapter 25     Factoring PolynomialsChapter 26     Substitution in PolynomialsChapter 27     Extensions of FieldsChapter 28     Vector SpacesChapter 29     Degrees of Field ExtensionsChapter 30     Ruler and CompassChapter 31     Galois Theory: PreambleChapter 32     Galois Theory: The Heart of the MatterChapter 33     Solving Equations by RadicalsAppendix A    Review of Set TheoryAppendix B    Review of the IntegersAppendix C    Review of Mathematical Integers                       Answers to Selected Exercises                        Index