Abstract Algebra done Concretely

This note covers the following topics: Natural Numbers, Principles of
Counting, Integers and Abelian groups, Divisibility, Congruences, Linear
Diophantine equations, Subgroups of Abelian groups, Commutative Rings, A little
Boolean Algebra, Fields, Polynomials over a Field, Quotients of Abelian groups,
Orders of Abelian groups, Linear Algebra over, Nonabelian groups, Groups of
Symmetries of Platonic Solids, Counting Problems involving Symmetry, Proofs of
theorems about group actions, Homomorphisms between groups, The Braid Group, The
Chinese remainder theorem, Quotients of polynomial rings, The finite Fourier
transform.

**Author(s):** Donu
Arapura

103 Pages