ABSTRACT

Taking a slightly different approach from similar texts, Introduction to Abstract Algebra presents abstract algebra as the main tool underlying discrete mathematics and the digital world. It helps students fully understand groups, rings, semigroups, and monoids by rigorously building concepts from first principles.

A Quick Introduction

chapter 1|24 pages

NUMBERS

chapter 2|24 pages

FUNCTIONS

chapter 3|18 pages

EQUIVALENCE

chapter 4|28 pages

GROUPS AND MONOIDS

chapter 5|32 pages

HOMOMORPHISMS

chapter 6|30 pages

RINGS

chapter 7|28 pages

FIELDS

chapter 8|30 pages

FACTORIZATION

chapter 9|38 pages

MODULES

chapter 10|34 pages

GROUP ACTIONS

chapter 11|32 pages

QUASIGROUPS