An edition of A first course in abstract algebra (1967)

A first course in abstract algebra

3rd ed.

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Cover of: A first course in abstract algebra by John B. Fraleigh
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Last edited by ImportBot
December 19, 2023 | History
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An edition of A first course in abstract algebra (1967)

A first course in abstract algebra

3rd ed.

by

  • ★★★★★ 5.00 ·
  • 2 Ratings
  • 65 Want to read
  • 5 Currently reading
  • 2 Have read

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Publish Date
Publisher
Addison-Wesley Pub. Co.
Language
English
Pages
478

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Previews available in: English

Subjects
Rings (Algebra), Abstract Algebra, Algebra, Geometry, Algebra, Abstract, Polynomials, open_syllabus_project, Universal Algebra, Mathematics, Algebra, abstract, Algèbre abstraite, Qa162 .f7 1989, 512/.02, Qa162 .f7 1998

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Edition Availability
Cover of: A first course in abstract algebra
A first course in abstract algebra
2003, Addison-Wesley
in English - 7th ed.
Libraries near you: WorldCat
Cover of: A first course in abstract algebra
A first course in abstract algebra
November 6, 2002, Addison Wesley
in English - Seventh edition
Libraries near you: WorldCat
Cover of: A first course in abstract algebra
A first course in abstract algebra
1999, Addison-Wesley
in English - 6th ed.
Libraries near you: WorldCat
Cover of: A first course in abstract algebra
A first course in abstract algebra
1994, Addison-Wesley
in English - 5th ed.
Libraries near you: WorldCat
Cover of: A first course in abstract algebra
A first course in abstract algebra
1989, Addison-Wesley Pub. Co.
in English - 4th ed.
Libraries near you: WorldCat
Cover of: A first course in abstract algebra
A first course in abstract algebra
1982, Addison-Wesley Pub. Co.
Hardcover in English - 3rd ed.
Libraries near you: WorldCat

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Book Details

Published in

Reading, Mass

Table of Contents

pt. I. Groups.
Binary operations
Groups
Subgroups
Permutations I
Permutations II
Cyclic groups
Isomorphism
Direct products
Finitely generated abelian groups
Groups in geometry
Groups of cosets
Normal subgroups and factor groups
Homomorphisms
Series of groups
Isomorphism theorems; proof of the Jordan-Hölder theorem
Group action on a set
Applications of G-sets to counting
Sylow theorems
Applications of the Sylow theory
Free abelian groups
Free groups
Group presentations
pt. II. Rings and fields.
Rings
Integral domains
Some noncommutative examples
The field of quotients of an integral domain
Our basic goal
Quotient rings and ideals
Homomorphisms of rings
Rings of polynomials
Factorization of polynomials over a field
Unique factorization domains
Euclidean domains
Gaussian integers and norms
Introduction to extension fields
Vector spaces
Further algebraic structures
Algebraic extensions
Geometric constructions
Automorphisms of fields
The isomorphism extension theorem
Splitting fields
Separable extensions
Totally inseparable extensions
Finite fields
Galois theory
Illustrations of Galois theory
Cyclotomic extensions
Insolvability of the quintic

Edition Notes

Bibliography: p. 448-450.
Includes index.

Classifications

Dewey Decimal Class
512/.02
Library of Congress
QA162 .F7 1982

The Physical Object

Format
Hardcover
Pagination
xviii, 478 p.
Number of pages
478
Dimensions
24 x x centimeters

ID Numbers

Open Library
OL4268873M
ISBN 10
0201104059
ISBN 13
9780201104059
LCCN
81014938
Library Thing
283399
Goodreads
1365429

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December 19, 2023 Edited by ImportBot import existing book
December 19, 2023 Edited by ImportBot import existing book
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