Taking a slightly different approach from similar texts, Introduction to Abstract Algebra presents abstract algebra as the main tool underlying discrete mathematics and the digital world. It helps students fully understand groups, rings, semigroups, and monoids by rigorously building concepts from f
Introduction to Abstract Algebra
β Scribed by Thomas A. Whitelaw B.Sc., Ph.D. (auth.)
- Publisher
- Springer US
- Year
- 1988
- Tongue
- English
- Leaves
- 207
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Table of Contents
Content:
Front Matter....Pages i-vii
Sets and Logic....Pages 1-21
Some Properties of β€....Pages 22-34
Equivalence Relations and Equivalence Classes....Pages 35-46
Mappings....Pages 47-60
Semigroups....Pages 61-68
An Introduction to Groups....Pages 69-88
Cosets and Lagrangeβs Theorem on Finite Groups....Pages 89-103
Homomorphisms, Normal Subgroups, and Quotient Groups....Pages 104-123
The Symmetric Group S n ....Pages 124-151
Rings....Pages 152-182
Back Matter....Pages 183-200
π SIMILAR VOLUMES
The emphasis in this book is on examples and exercises, and they provide much of the motivation for the material. The author have also tried to provide some historical comment and to examine the connections between modern algebra and other fields. (These comments and connections often appear in the
INTRODUCTION TO ABSTRACT ALGEBRA The text is for a one-semester or two-quarter introductory course at a level suitable for sophomores or juniors primarily, and for well prepared freshmen having the sophistication of calculus. The book can also be used in secondary teacher training programs. The a
<b>Praise for the Third Edition</b><br /><br /><b>." . . an expository masterpiece of the highest didactic value that has gained additional attractivity through the various improvements . . ."--Zentralblatt MATH</b><br /><br />The Fourth Edition of<i>Introduction to Abstract Algebra</i>continues to