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An Introduction to Abstract Algebra : Introduction to Abstract Algebra - F. M. Hall

An Introduction to Abstract Algebra

Introduction to Abstract Algebra

Paperback Published: 14th April 1980
ISBN: 9780521298612
Number Of Pages: 316

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This two-volume course on abstract algebra provides a broad introduction to the subject for those with no previous knowledge of it but who are well grounded in ordinary algebraic techniques. It starts from the beginning, leading up to fresh ideas gradually and in a fairly elementary manner, and moving from discussion of particular (concrete) cases to abstract ideas and methods. It thus avoids the common practice of presenting the reader with a mass of ideas at the beginning, which he is only later able to relate to his previous mathematical experience. The work contains many concrete examples of algebraic structures. Each chapter contains a few worked examples for the student - these are divided into straightforward and more advanced categories. Answers are provided. From general sets, Volume 1 leads on to discuss special sets of the integers, other number sets, residues, polynomials and vectors. A chapter on mappings is followed by a detailed study of the fundamental laws of algebra, and an account of the theory of groups which takes the idea of subgroups as far as Langrange"s theorem. Some improvements in exposition found desirable by users of the book have been incorporated into the second edition and the opportunity has also been taken to correct a number of errors.

Preface
Groups
Homomorphisms of groups
Rings
Fields
Integral domains
Invariant subgroups
Ideals
Extensions of structures
Vector spaces
Geometrical
Boolean algebra
Further results
Answers to exercises
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521298612
ISBN-10: 052129861X
Series: Introduction to Abstract Algebra
Audience: Tertiary; University or College
Format: Paperback
Language: English
Number Of Pages: 316
Published: 14th April 1980
Publisher: CAMBRIDGE UNIV PR
Country of Publication: GB
Dimensions (cm): 21.59 x 13.97  x 1.8
Weight (kg): 0.4
Edition Number: 2

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