Problems in Abstract Algebra
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Problems in Abstract Algebra

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Description

This is a book of problems in abstract algebra for strong undergraduates or beginning graduate students. It can be used as a supplement to a course or for self-study. The book provides more variety and more challenging problems than are found in most algebra textbooks. It is intended for students wanting to enrich their learning of mathematics by tackling problems that take some thought and effort to solve. The book contains problems on groups (including the Sylow Theorems, solvable groups, presentation of groups by generators and relations, and structure and duality for finite abelian groups); rings (including basic ideal theory and factorization in integral domains and Gauss's Theorem); linear algebra (emphasizing linear transformations, including canonical forms); and fields (including Galois theory). Hints to many problems are also included.
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Product details

  • Paperback | 269 pages
  • 140 x 216 x 19.05mm | 340.19g
  • Providence, United States
  • English
  • 1470435837
  • 9781470435837
  • 2,714,763

Table of contents

Integers and integers mod $n$
Groups
Rings
Linear algebra and canonical forms of linear transformations
Fields and Galois theory
Suggestions for further reading
Bibliography
Index of notation
Subject and terminology index
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Review quote

I'll certainly be using some of the problems the next time I teach algebra. I'm even tempted to make it the only textbook for the course.
Fernando Q. Gouvea, MAA Reviews
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About A. R. Wadsworth

A.R. Wadsworth, University of California, San Diego, CA.
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