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Abstract Algebra by Gregory T Lee
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Abstract Algebra

An Introductory Course
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Description

This carefully written textbook offers a thorough introduction to abstract algebra, covering the fundamentals of groups, rings and fields.  The first two chapters present preliminary topics such as properties of the integers and equivalence relations. The author then explores the first major algebraic structure, the group, progressing as far as the Sylow theorems and the classification of finite abelian groups. An introduction to ring theory follows, leading to a discussion of fields and polynomials that includes sections on splitting fields and the construction of finite fields. The final part contains applications to public key cryptography as well as classical straightedge and compass constructions. Explaining key topics at a gentle pace, this book is aimed at undergraduate students. It assumes no prior knowledge of the subject and contains over 500 exercises, half of which have detailed solutions provided.

Author Biography:

Gregory T. Lee is a professor at Lakehead University specializing in group rings, a branch of abstract algebra. He has published numerous papers on the subject, as well as a monograph with Springer.
Release date NZ
April 26th, 2018
Author
Audience
  • Undergraduate
Edition
1st ed. 2018
Illustrations
7 Illustrations, black and white; XI, 301 p. 7 illus.
Pages
301
ISBN-13
9783319776484
Product ID
27601426

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