An Introduction to the Theory of Groups (Paperback)

Paul Alexandroff

ISBN 10: 0486488136 / ISBN 13: 9780486488134

Published by Dover Publications Inc., New York, 2012

About this Item

Paperback. This introductory exposition of group theory by an eminent Russian mathematician is particularly suited to undergraduates, developing material of fundamental importance in a clear and rigorous fashion. The treatment is also useful as a review for more advanced students with some background in group theory. Beginning with introductory examples of the group concept, the text advances to considerations of groups of permutations, isomorphism, cyclic subgroups, simple groups of movements, invariant subgroups, and partitioning of groups. An appendix provides elementary concepts from set theory. A wealth of simple examples, primarily geometrical, illustrate the primary concepts. Exercises at the end of each chapter provide additional reinforcement. This introductory exposition of group theory by an eminent Russian mathematician is particularly suited to undergraduates. Includes a wealth of simple examples, primarily geometrical, and end-of-chapter exercises. 1959 edition. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Seller Inventory # 9780486488134

Bibliographic Details

• Title: An Introduction to the Theory of Groups (Paperback)
• Publisher: Dover Publications Inc., New York
• Publication Date: 2012
• Language: English
• ISBN 10: 0486488136
• ISBN 13: 9780486488134
• Binding: Paperback
• Condition: new

About this title

Synopsis

This introductory exposition of group theory by an eminent Russian mathematician is particularly suited to undergraduates, developing material of fundamental importance in a clear and rigorous fashion. The treatment is also useful as a review for more advanced students with some background in group theory.
Beginning with introductory examples of the group concept, the text advances to considerations of groups of permutations, isomorphism, cyclic subgroups, simple groups of movements, invariant subgroups, and partitioning of groups. An appendix provides elementary concepts from set theory. A wealth of simple examples, primarily geometrical, illustrate the primary concepts. Exercises at the end of each chapter provide additional reinforcement.

About the Author

The prominent Russian mathematician Paul S. Alexandroff (1896–1982) was primarily associated with the University of Moscow. He contributed to the areas of topology and homology theory and was the author of Dover's Elementary Concepts in Topology (60747-X).