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Introduction to Abstract Algebra, by W. Keith Nicholson
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An easy-to-use, self-study guide to abstract algebra and its applications.
Groups, rings, and fields are fast becoming vital in a wide range of applications utilizing mathematical models—in computer science, physics, chemistry, and engineering. This new edition of a proven text offers systematic, concise, easy-to-understand explanations for these basic structures of abstract algebra suitable for self-study. Revised and refined to be accessible even to readers with only rudimentary college algebra, the Second Edition carefully balances coverage of groups, rings, and fields and uses real-world problems to illustrate the theory. Concrete examples such as number theory, integers modulo n, and permutations are introduced at the outset, providing readers with a springboard to computations and subsequent abstract concepts. An ideal resource for scientists and engineers as well as students preparing for the algebra qualifying examinations, Introduction to Abstract Algebra, Second Edition presents an exciting array of features, including:
- Applications to cryptography, coding, geometrical constructions, and Polya counting techniques.
- Special topics such as symmetric polynomials, nilpotent groups, and finite-dimensional algebras.
- Nearly 500 solved examples along with hundreds of exercises.
- Biographies of 13 mathematicians plus historical notes.
- Review of the necessary background material.
- Sales Rank: #657242 in Books
- Published on: 1999-07-15
- Original language: English
- Number of items: 1
- Dimensions: 9.39" h x 1.32" w x 6.40" l, .0 pounds
- Binding: Hardcover
- 599 pages
Review
"For those seeking a sound introduction to abstract algebra, or a handbook on the basic ideas, this third edition of Nicholson's book is highly recommended." (MAA Reviews, April 13, 2007)
"…an expository masterpiece of highest didactic value which has gained additional attractivity through the various improvements…(ZentralblattMATH, 1107,1)
From the Back Cover
An easy-to-use, self-study guide to abstract algebra and its applications.
Groups, rings, and fields are fast becoming vital in a wide range of applications utilizing mathematical models--in computer science, physics, chemistry, and engineering. This new edition of a proven text offers systematic, concise, easy-to-understand explanations for these basic structures of abstract algebra suitable for self-study. Revised and refined to be accessible even to readers with only rudimentary college algebra, the Second Edition carefully balances coverage of groups, rings, and fields and uses real-world problems to illustrate the theory. Concrete examples such as number theory, integers modulo n, and permutations are introduced at the outset, providing readers with a springboard to computations and subsequent abstract concepts. An ideal resource for scientists and engineers as well as students preparing for the algebra qualifying examinations, Introduction to Abstract Algebra, Second Edition presents an exciting array of features, including: Applications to cryptography, coding, geometrical constructions, and Polya counting techniques. Special topics such as symmetric polynomials, nilpotent groups, and finite-dimensional algebras. Nearly 500 solved examples along with hundreds of exercises. Biographies of 13 mathematicians plus historical notes. Review of the necessary background material.
About the Author
W. KEITH NICHOLSON, PhD, is Professor of Mathematics at the University of Calgary, Calgary, Alberta, Canada.
Most helpful customer reviews
0 of 2 people found the following review helpful.
Five Stars
By Jeff
Mensa
18 of 18 people found the following review helpful.
Very good introductory text
By A Customer
The first time I took Abstract Algebra. I used Herstein's text the most cryptic text I have yet to use. I read the book cover to cover several times and still lacked a firm grasp on the material. Nicholson's book takes the time to present many examples and to thoroughly cover each topic. The examples of groups most frequently discussed are all placed at the beginning allowing the reader to have many examples to go on. While the book is not a terse reference it is a great introduction to the world of abstract algebra. It gives the undergraduate a chance to make that large step to this higher level of abstraction. However, the exercises are a little easy and the counterside to the above is that it is quite long.
3 of 4 people found the following review helpful.
Hard to read
By Andres Ramon
As a new student that is new to proofs and Abstract algebra, I found this book hard to read and hard to follow. The language itself is very difficult and spares a lot of words.
Granted, if you are somewhat familiar with abstract algebra and the terminology the book might not be as difficult. However, I had to buy two other books in order to understand the material.
Although it's loaded with information and even covers the basic information, my other books expressed it in clearer language and walked me thorough the beginning proofs, much better than this book did.
If you are brand new to the subject, I don't recommend using this book.
In addition the glue/binding in the middle of the book starts to tear, so groups of pages will become lose if you are not careful. It happened to my book, as well as the books of my class mates even though we bought it from different sources.
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