Abstract Algebra (Age 20, US Bachelor’s 3)
About This Textbook
This textbook is intended for a one or two-semester undergraduate course in abstract algebra. Though there are no specific prerequisites for a course in abstract algebra, students who have had other higher-level courses in mathematics will generally be more prepared than those who have not.
Textbook Details
| Author | Thomas W. Judson (Stephen F. Austin State University) |
|---|---|
| Age / Grade | Age 20 / US Bachelor’s 3 |
| Original Language | English |
| License Type | GNU Free Documentation License, Version 1.2 or later This means users are free to copy, redistribute, remix, and build upon the material for any purpose, even commercially, under the terms of the GNU Free Documentation License. A copy of the license is included in the appendix entitled "GNU Free Documentation License." Learn more about this license at gnu.org/licenses/fdl-1.3.en.html. |
| Download | Download PDF |
Table of Contents
Preliminaries — The Integers — Groups — Cyclic Groups — Permutation Groups — Cosets and Lagrange’s Theorem — Introduction to Cryptography — Algebraic Coding Theory — Isomorphisms — Normal Subgroups and Factor Groups — Homomorphisms — Matrix Groups and Symmetry — The Structure of Groups — Group Actions — The Sylow Theorems — Rings — Polynomials — Integral Domains — Lattices and Boolean Algebras — Vector Spaces — Fields — Finite Fields — Galois Theory