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Contemporary Abstract Algebra Joseph Gallian

Contemporary Abstract Algebra By Joseph Gallian

Contemporary Abstract Algebra by Joseph Gallian

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Summary

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.

Contemporary Abstract Algebra Summary

Contemporary Abstract Algebra by Joseph Gallian

Now in it's Tenth Edition, we acquire this course-market leader from Cengage US. Through the first nine editions, this has become the leading seller for the undergraduate Abstract Algebra course worldwide. The rollover potential alone is nearly 10,000 copies and might be more. Abstract Algebra is taught at every four year college and university with a mathematics department throughout the world. There are two primary audiences, mathematics majors and education majors hoping to teach. Both take this course, often together.

* Best-seller in US, Canada, ROW
* Author is now famous for this book, very active in US mathematics organizations including AMS and former president of MAA.
* Book is known for motivational exposition, excellent and thorough exercises (much more than typically found in CRC textbooks), and alternative solutions to promote a range of approaches
* Best seller since 3-4 edition
* The full list of reviews since publication is well into the hundreds.

Contemporary Abstract Algebra Reviews

It has now been 35 years since Gallian's classic textbook Contemporary Abstract Algebra was first published. The book is deservedly popular with instructors of abstract algebra courses. It is written at an appropriate level for junior and senior undergraduates, has lucid coverage of all of the standard topics and several nonstandard ones (Frieze Groups and Crystallographic Groups, Coding Theory, Greek Geometric Construction Problems, etc), is example-driven, and contains thousands of exercises at various levels of difficulty. Moreover, every chapter begins with an interesting quote or two (by as diverse a group of people as Einstein, Miguel de Cervantes, Ralph Waldo Emerson, Bob Dylan, etc) and most conclude with a mini- biography of a mathematician whose work relates to the chapter's content. This is an interesting book that is a pleasure to read.

According to the Preface, changes made for the tenth edition include:

1. Approximately 200 new exercises
2. Many new examples
3. New quotes
4. A freshening of the discussion portions

- Benjamin Linowitz, Oberlin College, Published in MAA

About Joseph Gallian

Joseph A. Gallian earned his PhD from Notre Dame. In addition to receiving numerous national awards for his teaching and exposition, he has served terms as the Second Vice President, and 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.

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

Additional information

NGR9780367651787
9780367651787
0367651785
Contemporary Abstract Algebra by Joseph Gallian
Joseph Gallian
Textbooks in Mathematics
New
Hardback
Taylor & Francis Ltd
2020-12-30
654
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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