Abstract Algebra: Theory and Applications

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.

**Tag(s):**
Linear Algebra

**Publication date**: 17 Aug 2015

**ISBN-10**:
0989897591

**ISBN-13**:
978-098989759

**Paperback**:
432 pages

**Views**: 10,147

**Type**: N/A

**Publisher**:
Orthogonal Publishing L3C

**License**:
GNU Free Documentation License

**Post time**: 03 May 2016 08:00:00

Abstract Algebra: Theory and Applications

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.

Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.3 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled "GNU Free Documentation License".

Click**here** to read the full license.

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From the Book Description:

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.

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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About The Author(s)

Robert A. Beezer is a Professor of Mathematics at the University of Puget Sound, where he has been on the faculty since 1984. In addition to his teaching at the University of Puget Sound, he has made sabbatical visits to the University of the West Indies (Trinidad campus) and the University of Western Australia. He has also given several courses in the Master’s program at the African Institute for Mathematical Sciences, South Africa. He has been a Sage developer since 2008. He teaches calculus, linear algebra and abstract algebra regularly, while his research interests include the applications of linear algebra to graph theory.

Thomas W. Judson is Associate Professor of Mathematics and Statistics at Stephen F. Austin State University. His research interests include mathematics education, differential geometry, Lie algebras and Lie pseudogroups.

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