Groups, Rings and Fields

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David Wallace has written a text on modern algebra which is suitable for a first course in the subject given to mathematics undergraduates. It aims to promote a feeling for the evolutionary and historical development of algebra. It assumes some familiarity with complex numbers, matrices and linear algebra which are commonly taught during the first year of an undergraduate course. Each chapter contains examples, exercises and solutions, perfectly suited to aid self-study. All arguments in the text are carefully crafted to promote understanding and enjoyment for the reader.

Author(s): David A.R. Wallace
Series: Springer Undergraduate Mathematics Series
Publisher: Springer
Year: 1998

Language: English
Pages: 248
Tags: Algebra; Commutative Rings and Algebras

Front Matter....Pages i-viii
Sets and Mappings....Pages 1-46
The Integers....Pages 47-70
Introduction to Rings....Pages 71-92
Introduction to Groups....Pages 93-144
Rings....Pages 145-190
Topics in Group Theory....Pages 191-223
Back Matter....Pages 225-248