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Abstract Algebra, Algebra, abstract, Mathematics, Algebra, Qa162 .p56 2010, 512/.02, Sk 230, Mat 110fShowing 9 featured editions. View all 9 editions?
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1
Book of Abstract Algebra: Second Edition
2012, Dover Publications, Incorporated
in English
0486134792 9780486134796
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5
A Book of Abstract Algebra
May 6, 2003, McGraw-Hill Science/Engineering/Math
Paperback
in English
- 2 edition
0072943505 9780072943504
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6
A Book of Abstract Algebra
May 6, 2003, McGraw-Hill Science/Engineering/Math
in English
0072943505 9780072943504
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8
A book of abstract algebra
1990, McGraw-Hill
Hardcover
in English
- 2nd ed.
0070501386 9780070501386
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9 |
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Book Details
Table of Contents
Why abstract algebra?
Operations
The definition of groups
Elementary properties of groups
Subgroups
Functions
Groups of permutations
Permutations of a finite set
Isomorphism
Order of group elements
Cyclic groups
Partitions and equivalence relations
Counting cosets
Homomorphisms
Quotient groups
The fundamental homomorphism theorem
Rings: definitions and elementary properties
Ideals and homomorphisms
Quotient rings
Integral domains
The integers
Factoring into primes
Elements of number theory (optional)
Rings of polynomials
Factoring polynomials
Substitution in polynomials
Extensions of fields
Vector spaces
Degrees of field extensions
Ruler and compass
Galois theory: preamble
Galoir theory: the heart of the matter
Solving equations by radicals
Appendixes.
Review of set theory
Review of the integers
Review of mathematical induction
Answers to selected exercises
Edition Notes
Includes index.
Classifications
The Physical Object
ID Numbers
Community Reviews (0)
Feedback?December 19, 2023 | Edited by ImportBot | import existing book |
December 16, 2022 | Edited by MARC Bot | import existing book |
November 5, 2022 | Edited by dcapillae | Merge works (MRID: 22516) |
September 3, 2022 | Edited by Stew | Update covers |
October 26, 2009 | Created by WorkBot | add works page |