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An Introduction to the Theory of Groups (Dover Books on Mathematics)

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An Introduction to the Theory of Groups (Dover Books on Mathematics) Cover

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

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.

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. A wealth of simple examples, primarily geometrical, illustrate the primary concepts. Exercises at the end of each chapter provide additional reinforcement. 1959 edition.

Table of Contents

1. The Group Concept
2. Groups of Permutations
3. Some General Remarks about Groups. The Concept of Isomorphism
4.Cyclic Subgroups of a Given Group
5. Simple Groups of Moments
6. Invariant Subgroups
7.Homomorphic Mappings
8. Partioningof a Group Relative to a Given Subgroup. Difference Modules
Appendix
Books to Cosult
Index

Product Details

ISBN:
9780486488134
Author:
Alexandroff, Paul.
Publisher:
Dover Publications
Author:
Petersen, G.M.
Author:
Perfect, Hazel
Author:
Alexandroff, Paul
Author:
Mathematics
Subject:
Group Theory
Subject:
Groups in Mathematics
Subject:
Russian mathematics
Subject:
Mathematics-Group Theory
Copyright:
Edition Description:
Trade Paper
Series:
Dover Books on Mathematics
Publication Date:
20120331
Binding:
TRADE PAPER
Language:
English
Illustrations:
17 Figs.
Pages:
128
Dimensions:
8.5 x 5.38 in

Related Subjects

Children's » General
Science and Mathematics » Mathematics » Advanced
Science and Mathematics » Mathematics » General
Science and Mathematics » Mathematics » Group Theory

An Introduction to the Theory of Groups (Dover Books on Mathematics) New Trade Paper
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Product details 128 pages Dover Publications - English 9780486488134 Reviews:
"Synopsis" by ,
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.
"Synopsis" by ,
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. A wealth of simple examples, primarily geometrical, illustrate the primary concepts. Exercises at the end of each chapter provide additional reinforcement. 1959 edition.
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