Springer Undergraduate Texts in Mathematics and Technology

Abstract Algebra

Structure and Application

Authors: Finston, David, Morandi, Patrick

  • Accessible to students with no prior knowledge of abstract algebra
  • Focuses on a wide variety of daily applications
  • Numerous sample problems and exercises
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eBook $39.99
price for USA (gross)
  • ISBN 978-3-319-04498-9
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  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $49.99
price for USA
  • ISBN 978-3-319-04497-2
  • with online files
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $49.99
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: October 23, 2016
  • ISBN 978-3-319-34395-2
  • Free shipping for individuals worldwide
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
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About this Textbook

This text seeks to generate interest in abstract algebra by introducing each new structure and topic via a real-world application. The down-to-earth presentation is accessible to a readership with no prior knowledge of abstract algebra. Students are led to algebraic concepts and questions in a natural way through their everyday experiences.

Applications include:

  • Identification numbers and modular arithmetic
  • (linear) error-correcting codes, including cyclic codes
  • ruler and compass constructions
  • cryptography
  • symmetry of patterns in the real plane

Abstract Algebra: Structure and Application is suitable as a text for a first course on abstract algebra whose main purpose is to generate interest in the subject or as a supplementary text for more advanced courses. The material paves the way to subsequent courses that further develop the theory of abstract algebra and will appeal to students of mathematics, mathematics education, computer science, and engineering interested in applications of algebraic concepts.

Reviews

“Finston and Morandi intend to develop the structures and basic theorems of modern algebra through applications that have relevance to the students’ daily lives. … For the vast majority of their students this will be their final abstract algebra course. … do an excellent job of introducing students to the theory of abstract algebra and its applications.” (Ellen Ziliak, MAA Reviews, June, 2015)

“Finston (Brooklyn College) and Morandi (New Mexico State Univ.) have taken on the daunting task of writing an abstract algebra text for students who are majoring in math, math education, or computer science and emphasizing applications to cover in one semester. The well-written work is organized to meet the authors' stated goals. … Summing Up: Recommended. Upper-division undergraduates and faculty.” (J. R. Burke, Choice, Vol. 52 (9), May, 2015)

“This book can be used in various situations: for an applied algebra course, for courses designed for secondary mathematics teachers, for programs of Master’ degree in middle school mathematics education or a Master of Arts in Teaching Mathematics. … The book is structured in ten chapters.” (Florentina Chirteş, zbMATH, Vol. 1304, 2015)


Table of contents (10 chapters)

  • Identification Numbers and Modular Arithmetic

    Finston, David R. (et al.)

    Pages 1-21

  • Error Correcting Codes

    Finston, David R. (et al.)

    Pages 23-40

  • Rings and Fields

    Finston, David R. (et al.)

    Pages 41-55

  • Linear Algebra and Linear Codes

    Finston, David R. (et al.)

    Pages 57-72

  • Quotient Rings and Field Extensions

    Finston, David R. (et al.)

    Pages 73-91

Buy this book

eBook $39.99
price for USA (gross)
  • ISBN 978-3-319-04498-9
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $49.99
price for USA
  • ISBN 978-3-319-04497-2
  • with online files
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $49.99
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: October 23, 2016
  • ISBN 978-3-319-34395-2
  • Free shipping for individuals worldwide
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Abstract Algebra
Book Subtitle
Structure and Application
Authors
Series Title
Springer Undergraduate Texts in Mathematics and Technology
Copyright
2014
Publisher
Birkhäuser Basel
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-04498-9
DOI
10.1007/978-3-319-04498-9
Hardcover ISBN
978-3-319-04497-2
Softcover ISBN
978-3-319-34395-2
Series ISSN
1867-5506
Edition Number
1
Number of Pages
IX, 187
Number of Illustrations and Tables
45 b/w illustrations
Topics