An introduction to abstract algebra / Derek J.S. Robinson.

Format:

Book

Author/Creator:

Robinson, Derek John Scott.

Series:

Gruyter textbook.

De Gruyter textbook

Language:

English

Subjects (All):

Algebra, Abstract.

Physical Description:

1 online resource (292 p.)

Edition:

2nd edition

Place of Publication:

New York : Walter de Gruyter, 2003.

Language Note:

English

System Details:

Mode of access: World Wide Web.

Summary:

This is a high level introduction to abstract algebra which is aimed at readers whose interests lie in mathematics and in the information and physical sciences. 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. In particular applications to Polya coloring theory, latin squares, Steiner systems and error correcting codes are described. Another feature of the book is that group theory and ring theory are carried further tha

Contents:

Front matter

Contents

Chapter 1. Sets, relations and functions

Chapter 2. The integers

Chapter 3. Introduction to groups

Chapter 4. Cosets, quotient groups and homomorphisms

Chapter 5. Groups acting on sets

Chapter 6. Introduction to rings

Chapter 7. Division in rings

Chapter 8. Vector spaces

Chapter 9. The structure of groups

Chapter 10. Introduction to the theory of fields

Chapter 11. Galois theory

Chapter 12. Further topics

Backmatter

Notes:

Description based upon print version of record.

Includes bibliographical references (p. [267]) and indexes.

ISBN:

9786612194399

9781282194397

1282194399

9783110198164

3110198169

OCLC:

179774394