# Abstract Algebra: Theory and Applications

- By: Thomas W. Judson
- Publisher: Stephen F. Austing State University
- Source: [LibreTexts](https://math.libretexts.org/Bookshelves/Abstract_and_Geometric_Algebra/Abstract_Algebra%3A_Theory_and_Applications_(Judson))
- Licence: [GNU Free Documentation License](https://www.gnu.org/licenses/fdl-1.3.html)
- Read at LibreTexts: https://math.libretexts.org/Bookshelves/Abstract_and_Geometric_Algebra/Abstract_Algebra%3A_Theory_and_Applications_(Judson)
- PDF: https://downloads.libretexts.org/api/v1/download/math-80976/pdf

This is an open source textbook designed to teach the principles and theory of abstract algebra to college juniors and seniors in a rigorous manner. Its strengths include a wide range of exercises, both computational and theoretical, plus many nontrivial applications. The first half of the book presents group theory, through the Sylow theorems. The second-half is suitable for a second semester and presents rings, integral domains, Boolean algebras, vector spaces, and fields, concluding with Galo