Book:Abstract Algebra: Theory and Applications

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Bibliographical Data

Title:Abstract Algebra
Author:Thomas W. Judson
Key words:Algebra, Groups, Rings, Fields
Education Level:Higher Education
License:GNU Free Documentation License (GFDL)
Description:From the book's website:

Abstract Algebra: Theory and Applications is an open-source textbook written by Tom Judson that is 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, with enough material for a semester-long course. The second-half is suitable for a second semester and presents rings, integral domains, Boolean algebras, vector spaces, and fields, concluding with Galois Theory.


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