An Introduction to the Theory of Groups

Nonfiction, Science & Nature, Mathematics, Group Theory
Cover of the book An Introduction to the Theory of Groups by Paul Alexandroff, Dover Publications
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Author: Paul Alexandroff ISBN: 9780486275970
Publisher: Dover Publications Publication: July 24, 2013
Imprint: Dover Publications Language: English
Author: Paul Alexandroff
ISBN: 9780486275970
Publisher: Dover Publications
Publication: July 24, 2013
Imprint: Dover Publications
Language: English

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.

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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.

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