Selected Product:
| Schaum's Outline of Modern Abstract Algebra (Schaum's)
Paperback
Edition: 1
Author: Frank Ayres
Publisher: McGraw-Hill
Release Date: 1965-06-01
ISBN-10: 0070026556
ISBN-13: 9780070026551
List Price: $18.95
Average Customer Rating:
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Schaum's Outline of Abstract Algebra (Schaum's Outlines)
ISBN-10: 0071403272
ISBN-13: 0639785383178
List Price:$17.95
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Summaries and Customer Reviews are supplied by Amazon.com
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.
I found it invaluable when I was learning modern algebra on my own
| Customer Rating: | Shortly after graduating from college with a math major, I realized that I needed some experience in modern or abstract algebra. For reasons that I no longer recall, I was able to obtain the major without taking a course in algebra. My undergraduate college offered two courses in abstract algebra, but rather than pay the full tuition, I asked the chair of the department if I could take some form of challenge exam for the credit.
She agreed and gave me the complete set of take-home graded questions that she had given out the previous year. I then worked through the exercises and submitted them to her for feedback. I passed both courses.
One of the primary reasons for my achievement was this book. From my perspective, the strongest point of the book is the extensive lead-in before group theory is introduced. The background review in the area of sets, relations, integers, rational, real and complex numbers was something I really needed. These chapters forced me to look at these things in ways that I had not done so in the past and prepared me to better think abstractly.
After this solid introduction, I was able to proceed into the study of groups, rings, integral domains, ideals and fields on my own. By design, the books in the Schaum's series are better used as supplemental rather than core texts. I found this one to be the exception; it is stronger in the preliminaries than it is in presenting the core material of the title.
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Average resource
| Customer Rating: | | 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. |
lpescatori
| Customer Rating: | | Excellent for a quick and rigorous grasping of basic concepts. A huge number of problems helps fix the theory and gain problem solving capability. |
Not much on the core subject of abstract algebra
| Customer Rating: | 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. |
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