Abstract Algebra Theory and Applications
Abstract Algebra Theory and Applications by Thomas Judson is an open-source textbook published by Orthogonal Publishing L3C on August 11, 2023. This edition spans 426 pages and is written in English, targeting college juniors and seniors with a rigorous approach to the principles and theory of abstract algebra.
Readers will find a comprehensive exploration of abstract algebra, beginning with group theory and the Sylow theorems, suitable for a semester-long course. The book includes a variety of exercises, both computational and theoretical, alongside non-trivial applications. The latter half delves into rings, integral domains, Boolean algebras, vector spaces, and fields, culminating in Galois Theory, making it a valuable resource for those studying mathematics and algebra.
Official synopsis Publisher
Abstract Algebra: Theory and Applications is an open-source textbook 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 non-trivial 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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