Basic Abstract Algebra - Hardcover

Bhattacharya, P. B.

Hardcover

ISBN 10: 0521309905 ISBN 13: 9780521309905

Publisher: Cambridge University Press, 1986

Synopsis

This book is intended as a text on abstract algebra for undergraduate students and is divided into five parts. The first part contains an informal introduction to sets, number systems, matrices, and determinants. The second part deals with groups, the third part treats rings and modules, the fourth is concerned with field theory. Much of the material in Parts II, III, IV forms the core syllabus of a course in abstract algebra. The fifth part goes on to.treat some additional optional topics often taught to undergraduates. This book presents a complete course in abstract algebra, giving lecturers flexibility in the selection of topics to be taught in individual classes. Complete proofs have been given for all theorems without glossing over significant details or leaving important theorems as exercises. In addition, the book contains many examples fully worked out and a variety of problems for practice and challenge. Solutions to the odd-numbered problems are provided at the end of the book to encourage the student in problem solving.

About this title

Book Description

In addition to many new problems for practice and challenge, this edition of a self-contained graduate text on abstract algebra contains an introduction to lattices, a new chapter on tensor products and a discussion of the new (1993) approach to the celebrated Lasker-Noether theorem.

Review

"...a thorough and surprisingly clean-cut survey of the group/ring/field troika which manages to convey the idea of algebra as a unified enterprise." Ian Stewart, New Scientist

Edition details

• Publisher: Cambridge University Press
• Publication date: 1986
• ISBN 10: 0521309905
• ISBN 13: 9780521309905
• Binding: Hardcover
• Language: English
• Edition number: 1
• Number of pages: 482