Introduction to Abstract Algebra, Third Edition

Name: Introduction to Abstract Algebra, Third Edition
Brand: CRC Press

CRC Press

This edition has been revised and expanded, particularly the material on rings and fields. The text is written for the student encountering abstract algebra for the first time. It includes many worked examples and each chapter contains a set of graded exercises, with partial solutions. > The first and second editions of this successful textbook have been highly praised for their lucid and detailed coverage of abstract algebra. In this third edition, the author has carefully revised and extended his treatment, particularly the material on rings and fields, to provide an even more satisfying first course in abstract algebra. > Chapter One SETS AND LOGIC -- 1. Some very general remarks -- 2. Introductory remarks on sets -- 3. Statements and conditions; quantifiers -- 4. The implies sign () -- 5. Proof by contradiction -- 6. Subsets -- 7. Unions and intersections -- 8. Cartesian product of sets -- EXERCISES -- Chapter Two SOME PROPERTIES OF -- 9. Introduction -- 10. The well-orderi.