ABSTRACT

Introduction to Abstract Algebra, Second Edition presents abstract algebra as the main tool underlying discrete mathematics and the digital world. It avoids the usual groups first/rings first dilemma by introducing semigroups and monoids, the multiplicative structures of rings, along with groups.This new edition of a widely adopted textbook covers

chapter Chapter 1|24 pages

Numbers

chapter Chapter 2|24 pages

Functions

chapter Chapter 3|18 pages

Equivalence

chapter Chapter 4|30 pages

Groups And Monoids

chapter Chapter 5|32 pages

Homomorphisms

chapter Chapter 6|32 pages

Rings

chapter Chapter 7|30 pages

Fields

chapter Chapter 8|30 pages

Factorization

chapter Chapter 9|40 pages

Modules

chapter Chapter 10|36 pages

Group Actions

chapter Chapter 11|34 pages

Quasigroups