Abstract algebra : an introduction with applications /
This is the second edition of the introduction to abstract algebra. 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. There i...
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Main Authors: | |
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Corporate Authors: | |
Published: |
De Gruyter,
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Publisher Address: | Berlin/Boston : |
Publication Dates: |
[2015] ©2015 |
Literature type: | eBook |
Language: | English |
Series: |
De gruyter textbook
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Subjects: | |
Online Access: |
http://dx.doi.org/10.1515/9783110340877 http://www.degruyter.com/doc/cover/9783110340877.jpg |
Summary: |
This is the second edition of the introduction to abstract algebra. 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. There is ample material here for a two semester course in abstract algebra. |
Carrier Form: | 1 online resource (x, 337 pages) : illustrations. |
ISBN: | 9783110340877 |
Index Number: | QA162 |
CLC: | O153 |
Contents: |
Frontmatter -- Preface -- Contents -- 1 Sets, relations and functions -- 2 The integers -- 3 Introduction to groups -- 4 Quotient groups and homomorphisms -- 5 Groups acting on sets -- 6 Introduction to rings -- 7 Division in commutative rings -- 8 Vector spaces -- 9 Introduction to modules -- 10 The Structure of groups -- 11 The Theory of fields -- 12 Galois Theory -- 13 Tensor products -- 14 Further topics -- Bibliography -- List of symbols -- Index. |