10th Edition

Contemporary Abstract Algebra



  • Available for pre-order. Item will ship after December 29, 2020
ISBN 9780367651787
December 29, 2020 Forthcoming by Chapman and Hall/CRC
624 Pages 50 B/W Illustrations

USD $130.00

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Book Description

CONTEMPORARY ABSTRACT ALGEBRA, TENTH EDITION is primarily intended for an abstract algebra course whose main purpose is to enable students to do computations and write proofs. Gallian's text stresses the importance of obtaining a solid introduction to the traditional topics of abstract algebra, while at the same time presenting it as a contemporary and very much an active subject which is currently being used by working physicists, chemists, and computer scientists.

Table of Contents

1

Introduction to Groups

2

Groups

3

Finite Groups; Subgroups

4

Cyclic Groups

5

Permutation Groups

6

Ismorphisms

7

Cosets and Lagrange's Theorem

8

External Direct Products

9

Normal Subgroups and Factor Groups

10

Group Homomorphisms

11

Fundamental Theorem of Finite Abelian Groups

12

Introduction to Rings

13

Integral Domains

14

Ideals and Factor Rings

15

Ring Homomorphisms

16

Polynomial Rings

17

Factorization of Polynomials

18

Divisibilty in Integral Domains

19

Extension Fields

20

Algebraic Extensions

21

Finite Fields

22

Geometric Constructions

23

Sylow Theorems

24

Finite Simple Groups

25

Generators and Relations

26

Symmetry Groups

27

Symmetry and Counting

28

Cayley Digraphs of Groups

29

Introduction to Algebraic Coding Theory

30

An Introduction to Galois Theory

31

Cyclotomic Extensions

...
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Author(s)

Biography

Joseph Gallian earned his PhD from Notre Dame. In addition to receiving numerous awards for his teaching and exposition, he served, first, as the Second Vice President, and, then, as the President of the MAA. He has served on 40 national committees, chairing ten of them. He has published over 100 articles and authored six books. Numerous articles about his work have appeared in the national news outlets, including the New York Times, the Washington Post, the Boston Globe, and Newsweek, among many others.