Abstract Algebra: Theory and Applications (2020 Edition)

by Thomas W. Judson

Presents a comprehensive undergraduate textbook on abstract algebra that balances foundational theory with practical applications like cryptography and coding theory.

Front Matter: Colophon
Acknowledgements
Preface to the Remixed Version
Original Preface
Chapter 1: Preliminaries
Chapter 2: Groups
Chapter 3: Cosets and Factor Groups
Chapter 4: Isomorphisms and Homomorphisms
Chapter 5: Rings
Chapter 6: Polynomials
Chapter 7: Integral Domains
Chapter 8: Fields
Chapter 9: Galois Theory
Chapter 10: Some of the Structure of Groups
Chapter 11: More of the Structure of Groups
Chapter 12: Introduction to Cryptography
Chapter 13: Group Actions
Chapter 14: The Sylow Theorems
Chapter 15: Matrix Groups and Symmetry
Chapter 16: Algebraic Coding Theory
Chapter 17: Finite Fields
Chapter 18: Lattices and Boolean Algebras
Appendix A: GNU Free Documentation License
Appendix B: Hints and Answers to Selected Exercises
Appendix C: Notation