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Abstract Algebra: Theory and Applications, by Thomas W. Judson
Download Abstract Algebra: Theory and Applications, by Thomas W. Judson
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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.
- Sales Rank: #116131 in Books
- Published on: 2015-08-17
- Original language: English
- Number of items: 1
- Dimensions: 9.21" h x .94" w x 6.14" l, 1.71 pounds
- Binding: Hardcover
- 432 pages
Most helpful customer reviews
6 of 6 people found the following review helpful.
Comprensive with modern applications; takes no prisoners
By Robert J. Newell
There are many reasons to love this book.
PROS
1. The author gives it away online, if you want, but the hardcover is so reasonably priced (compare to today's textbook prices!) that having a printed book and supporting the author is the way to go.
2. There is supplementary material at the author's site, including applications with the incredible freeware math package Sage.
3. The book is comprehensive, covering all of the usual theory but also including important modern applications to cryptography.
4. The book is clearly written, and, with some diligence, suited to self-study.
CONS
Very small ones.
1. There are a few editing issues (but nothing remotely serious).
2. The typeface is small.
3. The book takes no prisoners (see below).
The book opens with the usual review of proofs, set theory, etc., and then gets into a very comprehensive treatment of groups. Rings are then covered and the book winds up with vector spaces and fields. All about what you'd expect, but the applications are there, especially to cryptography, and advanced stuff (think Galois and the like) is introduced. The problems range from pure exercises to serious challenge, and some solutions are available.
The writing is good. The book is clear and lucid, though not wordy: you'll need to pay close attention especially if learning on your own.
Above I mention that the book takes no prisoners. What I mean is that the author does not compromise. Nothing is "light" or "easy" or glossed over. The book demands much of the student and provides much in return. It is most definitely not for dabblers. But if you are serious about learning this subject, the book will pay back your efforts and then some.
I have to commend the author for making such a good textbook, with all its supplements, available to the public at such a reasonable cost (no cost at all, if you don't want the hardcover edition). I hope such offerings can counteract the textbook greed that today harms rather than helps the student. Hats off to Dr. Judson for this easy to recommend book.
1 of 1 people found the following review helpful.
High quality
By Amazon Customer
I downloaded this book after taking a first course in Abstract, while looking for examples of using Abstract algebra with Sage. That this book is one of the few--if not the only one--that does that, while at the same time being available under an open source license, encouraged me to support it.
I haven't read the whole text yet, but, for the reasons above, it deserves mention. If nothing else, this would make a great supplement to many Algebra courses, serving to enrich the syllabus with examples and technological applications.
My point of comparison, by the way, is A first course in Abstract algebra by Fraleigh, which I thought was also an excellent text. That was concise and clear, while this text looks like it's strength is in applications and breadth.
1 of 1 people found the following review helpful.
Good Reference Book
By Manuel Bermudez
Even though no book was required for my undergraduate abstract algebra course this book was recommended as a reference. Through the course I this book was indeed helpful. The book was also available for free as an online download but I thought that it would be better to pay the author for the time and effort put in. For the price of the book it was more than worth it!!
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