ABSTRACT

 

Abstract Algebra: A Gentle Introduction advantages a trend in mathematics textbook publishing towards smaller, less expensive and brief introductions to primary courses. The authors move away from the ‘everything for everyone’ approach so common in textbooks. Instead, they provide the reader with coverage of numerous algebraic topics to cover the most important areas of abstract algebra.

Through a careful selection of topics, supported by interesting applications, the authors Intend the book to be used for a one-semester course in abstract algebra. It is suitable for an introductory course in for mathematics majors. The text is also very suitable for education majors

who need to have an introduction to the topic.

As textbooks go through various editions and authors employ the suggestions of numerous well-intentioned reviewers, these book become larger and larger and subsequently more expensive. This book is meant to counter that process. Here students are given a "gentle introduction," meant to provide enough for a course, yet also enough to encourage them toward future study of the topic.


Features

  • Groups before rings approach
  • Interesting modern applications
  • Appendix includes mathematical induction, the well-ordering principle, sets, functions, permutations, matrices, and complex nubers.
  • Numerous exercises at the end of each section
  • Chapter "Hint and Partial Solutions" offers built in solutions manual

chapter 1|32 pages

Elementary Number Theory

chapter 2|21 pages

Groups

chapter 3|12 pages

Rings

chapter 4|6 pages

Fields

chapter 5|25 pages

Finite Fields

chapter 6|13 pages

Vector Spaces

chapter 7|15 pages

Polynomials

chapter 8|21 pages

Linear Codes