Abstract Algebra: Structure and Application

Abstract Algebra: Structure and Application

ISBN-10:
3319343955
ISBN-13:
9783319343952
Pub. Date:
09/13/2015
Publisher:
Springer International Publishing
ISBN-10:
3319343955
ISBN-13:
9783319343952
Pub. Date:
09/13/2015
Publisher:
Springer International Publishing
Abstract Algebra: Structure and Application

Abstract Algebra: Structure and Application

$64.99
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Overview

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.


Product Details

ISBN-13: 9783319343952
Publisher: Springer International Publishing
Publication date: 09/13/2015
Series: Springer Undergraduate Texts in Mathematics and Technology
Edition description: Softcover reprint of the original 1st ed. 2014
Pages: 187
Product dimensions: 7.01(w) x 10.00(h) x (d)

About the Author

The author is a professor at XX University.

Table of Contents

Identification Numbers and Modular Arithmetic.- Error Correcting Codes.- Rings and Fields.- Linear Algebra and Linear Codes.- Quotient Rings and Field Extensions.- Ruler and Compass Constructions.- Cyclic Codes.- Groups and Cryptography.- The Structure of Groups.- Symmetry.
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