Abstract Algebra: Theory and Applications

by Thomas W. Judson

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.

Genres: Mathematics, Textbooks, Nonfiction

434 pages, Paperback

First published August 1, 1994

Reviews

[Lukas · Rating 3 out of 5]

s'alright. This class was a fever dream. Probably upon a break from the material I will appreciate this more. Examples are good but I'm dumb, so that's the main caveat here. Either math texts need longer proofs (I'm dumb) or more symbols elsewhere and a bit of both would be good here. Regardless it's solid. Preferred the Gallain Alg text I got @ the library though mostly because it felt like a text from highschool. Good exercises, not too tough or at least pretty easy to see where one needs to go

[Nicholas Cotton · Rating 5 out of 5]

This book is FREE!

Better than the required text for my abstract algebra.

Great exercise. Great examples. Concepts are presented in a very concise manner that made me feel warm and fuzzy inside. This was supposed to be a hard class but this book makes it seem easy.

[Calvin · Rating 4 out of 5]

Overall I would say this book was not too bad, and is a good book to get into group theory as well as more advanced areas such as ring theory, field theory, and Galois theory. However, I admit to definitely be rushing this book due to time constraints...