The Leading eBooks Store Online 4,293,432 members ⚫ 1,430,845 ebooks

New to eBooks.com?

Learn more

Abstract Algebra

Structures and Applications

Abstract Algebra by Stephen Lovett
Buy this eBook
US$ 57.95
(If any tax is payable it will be calculated and shown at checkout.)

A Discovery-Based Approach to Learning about Algebraic Structures

Abstract Algebra: Structures and Applications helps students understand the abstraction of modern algebra. It emphasizes the more general concept of an algebraic structure while simultaneously covering applications. The text can be used in a variety of courses, from a one-semester introductory course to a full two-semester sequence.

The book presents the core topics of structures in a consistent order:

  • Definition of structure
  • Motivation
  • Examples
  • General properties
  • Important objects
  • Description
  • Subobjects
  • Morphisms
  • Subclasses
  • Quotient objects
  • Action structures
  • Applications

The text uses the general concept of an algebraic structure as a unifying principle and introduces other algebraic structures besides the three standard ones (groups, rings, and fields). Examples, exercises, investigative projects, and entire sections illustrate how abstract algebra is applied to areas of science and other branches of mathematics.

 

 "Lovett (Wheaton College) takes readers through the variegated landscape of algebra, from elementary modular arithmetic through groups, semigroups, and monoids, past rings and fields and group actions, beyond modules and algebras, to Galois theory, multivariable polynomial rings, and Gröbner bases."

Choice Reviewed: Recommended

CRC Press; July 2015
717 pages; ISBN 9781482248913
Read online, or download in secure PDF format
Title: Abstract Algebra
Author: Stephen Lovett
 
  • News
  • Contents
No entry found
Subject categories
ISBNs
9781482248906
9781482248913