Schaum's Outline of Theory and Problems of Modern Algebra [Paperback]

Frank Ayres (Author)

Book Description

ISBN-10: 0070026556 | ISBN-13: 978-0070026551 | Publication Date: June 1, 1965 | Edition: 1

Confusing Textbooks? Missed Lectures? Not Enough Time?

Fortunately for you, there's Schaum's Outlines. More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills.

This Schaum's Outline gives you

• Practice problems with full explanations that reinforce knowledge
• Coverage of the most up-to-date developments in your course field
• In-depth review of practices and applications

Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time-and get your best test scores!

Schaum's Outlines-Problem Solved.

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Product Details

• Paperback: 256 pages
• Publisher: McGraw-Hill; 1 edition (June 1, 1965)
• Language: English
• ISBN-10: 0070026556
• ISBN-13: 978-0070026551
• Product Dimensions: 10.9 x 8.2 x 0.6 inches
• Shipping Weight: 8 ounces (View shipping rates and policies)
• Average Customer Review: 3.6 out of 5 stars  See all reviews (10 customer reviews)
• Amazon Best Sellers Rank: #565,561 in Books (See Top 100 in Books)

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Most Helpful Customer Reviews

27 of 29 people found the following review helpful:

4.0 out of 5 stars The Cliff Notes of Math/Science!, January 30, 2001

By 

tiggerbone "tiggerbone" (West Chicago, IL USA) - See all my reviews

This review is from: Schaum's Outline of Theory and Problems of Modern Algebra (Paperback)

I purchased this book as a supplement to my text for my Abstract Algebra course. I highly recommend any of the Schaum's Outlines whenever you want a clear and concise summary of ideas with valuable problems (both solved and unsolved). The solved problems in this book take you step by step through several key ideas without spoon feeding the entire subject.

Here are some caveats though. In case you are trying to purchase this book for a junior high or high school algebra class, let me warn you, This is NOT the same thing! Pick up the Elementary Algebra outline instead. Trust me.

Next, my class concentrated more on groups than this particular outline did. I found the Group Theory outline to be a useful "co-supplement" for my particular class. Since different teachers accentuate different things, I recommend talking to the teacher and asking what they would suggest.

Finally, I think that this book would have been served by including a few geometric arguments for groups including isometry groups in 2D. The lack thereof does not truly detract from the book but I feel the extra clarification would have been helpful.

17 of 18 people found the following review helpful:

2.0 out of 5 stars Not much on the core subject of abstract algebra, February 15, 2006

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calvinnme - See all my reviews
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This review is from: Schaum's Outline of Theory and Problems of Modern Algebra (Paperback)

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.

11 of 11 people found the following review helpful:

4.0 out of 5 stars I become a mathematics fan., April 13, 2002

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"pawntep" (BANGKOK, Thailand) - See all my reviews

This review is from: Schaum's Outline of Theory and Problems of Modern Algebra (Paperback)

I am an undergrad student in Computer Science. The content in this book is terse and very cohesive. And its cohesiveness is what I like most. Each successive chapter is developed rigorously upon previous chapters. A lot of proofs of most important theorems have been supplemented. These proofs I have been reading in awe, are real eye-openers. Mathematics had never been this entertaining.

I strongly recommend this book, especially if you don't know what Abstract Algebra is all about. I had no idea when I ordered...