Schaum Title: Schaum's Outline of Modern Abstract Algebra (Schaum's)

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Manufacturer: McGraw-Hill
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Customer Reviews:
Schaum's Outline of Modern Abstract Algebra (Schaum's) by McGraw-Hill

Average resource

This was an average resource for me in my advanced algebra course. I suggest if you are to use this book, to also get Joseph Gallian's Contemporary Algebra book as well.
Schaum's Outline of Modern Abstract Algebra (Schaum's) by McGraw-Hill

lpescatori

Excellent for a quick and rigorous grasping of basic concepts. A huge number of problems helps fix the theory and gain problem solving capability.
Schaum's Outline of Modern Abstract Algebra (Schaum's) by McGraw-Hill

Not much on the core subject of abstract algebra

This book has some good theoretical mathematics content, unfortunately not much of it is about the subject of abstract algebra. The first 80 pages of this book talk about sets, relations, operators, and number systems. The next 50 pages or so consist of elementary material on groups, rings, fields, and polynomials, and act as a very basic introduction to abstract algebra. Then the author again diverges off into mathematics that does not relate to abstract algebra and talks about vector spaces, matrices, matrix polynomials, linear algebra, and boolean algebra. Again, this is all good mathematical material with some good problems, but I don't see what it has to do with learning abstract algebra. A better title for this book would have been "Schaum's Outline on the Foundations of Mathematics" since it is really supplying a good theoretical introduction to mathematics for the mathematics major at about the college sophomore level. If that is what you are looking for, I would give this book about four stars.
If you want a good introductory textbook on abstract algebra might I recommend "A First Course in Abstract Algebra, Seventh Edition" by Fraleigh. The author explains the concepts very clearly, has plenty of examples, and motivates the reader by showing example uses of the theory in applications such as error coding. There are more rigorous books out there, but Fraleigh's book is a great introduction, and used copies can usually be found for roughly $60, or about half of the price of a new book.
Schaum's Outline of Modern Abstract Algebra (Schaum's) by McGraw-Hill

mm, not quite what I was hoping for...

This installment in the Schaum's outline series doesn't do it for me. I had reason to pick this one up simply out of curiousity (and out of habit, by using other titles in this series for other lower-level undergraduate courses). It hardly stimulates any interest on the part of the reader; and the presentation is dry; not to mention that the selection of solved problems wasn't carefully thought out (most, I found, were proofs of some pretty standard results, which I would have rather not seen all over again). And the bare-hands computations weren't all that exciting, either.

Ploughing through a course text proper would better serve the serious student of mathematics. There are other well-written books devoted to solved problems in algebra (group/ring theory, for instance). It's just a matter of scoping them out carefully, and dishing out the money (for photocopies, even).

Schaum's Outline of Modern Abstract Algebra (Schaum's) by McGraw-Hill

Not Great

Gallian's Contemporary Abstract Algebra is my required textbook for this course. I bought Schaum's Outline to supplement it and help me with some of the proofs. Instead, I found exactly the same worked-out examples from Gallian. My homework problems I was having trouble with were also under the "extra" problems section which does not have solutions. Basically this book was useless to me. If you aren't already using Gallian, that's the book you should get; this one would be okay if you want to save a few bucks.
Schaum's Outline of Modern Abstract Algebra (Schaum's) by McGraw-Hill

Product Description

If you want top grades and a thorough understanding of abstract algebra this powerful study tool is the best tutor you can have! It takes you step-by-step through the subject and gives you sample problems with fully worked solutions, including proofs of all important theorems. You also get additional practice problems to solve on your own, working at your own speed. In addition, this superb study guide gives you chapters on sets, integers, groups, polynomials, and vector spaces. Students' favorite, with more than 30 million copies sold, Schaum's study guides are the best value for your student dollar—clear, complete, and low-cost.