Springer Undergraduate Mathematics Series

Abstract Algebra

An Introductory Course

Authors: Lee, Gregory T.

  • Provides a gentle, yet thorough, introduction to abstract algebra
  • Includes careful proofs of theorems and numerous worked examples
  • Written in an informal, readable style
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Buy this book

eBook $34.99
price for USA in USD (gross)
  • ISBN 978-3-319-77649-1
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $44.99
price for USA in USD
  • ISBN 978-3-319-77648-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

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.

About the authors

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.

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Table of contents (14 chapters)

  • Relations and Functions

    Lee, Gregory T.

    Pages 3-13

  • The Integers and Modular Arithmetic

    Lee, Gregory T.

    Pages 15-31

  • Introduction to Groups

    Lee, Gregory T.

    Pages 35-60

  • Factor Groups and Homomorphisms

    Lee, Gregory T.

    Pages 61-84

  • Direct Products and the Classification of Finite Abelian Groups

    Lee, Gregory T.

    Pages 85-99

Buy this book

eBook $34.99
price for USA in USD (gross)
  • ISBN 978-3-319-77649-1
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $44.99
price for USA in USD
  • ISBN 978-3-319-77648-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Abstract Algebra
Book Subtitle
An Introductory Course
Authors
Series Title
Springer Undergraduate Mathematics Series
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG, part of Springer Nature
eBook ISBN
978-3-319-77649-1
DOI
10.1007/978-3-319-77649-1
Softcover ISBN
978-3-319-77648-4
Series ISSN
1615-2085
Edition Number
1
Number of Pages
XI, 301
Number of Illustrations and Tables
7 b/w illustrations
Topics