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Numbers, Groups and Codes, by J. F. Humphreys, M. Y. Prest
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This thoroughly revised and updated version of the popular textbook on abstract algebra introduces students to easily understood problems and concepts. John Humphreys and Mike Prest include many examples and exercises throughout the book to make it more appealing to students and instructors. The second edition features new sections on mathematical reasoning and polynomials. In addition, three chapters have been completely rewritten and all others have been updated. First Edition Pb (1990): 0-521-35938-4
- Sales Rank: #932560 in Books
- Published on: 2004-05-24
- Original language: English
- Number of items: 1
- Dimensions: 8.98" h x .75" w x 5.98" l, 1.15 pounds
- Binding: Paperback
- 356 pages
Review
"This book merits a close look because of its pedagogical strengths. One might say this book really is about 'How to think about mathematics.' And that is a great virtue...The book is sprinkled with historical and other motivations...a very useful text on abstract algebra." MAA Online
About the Author
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Mike Prest is Professor of Pure Mathematics at the University of Manchester.
Most helpful customer reviews
4 of 4 people found the following review helpful.
Excellent book
By JAT
This book is ideal for a first brush with abstract algebra. Ideally it should be read before one tackles linear algebra - however, this is rarely the case. The book is extremely well written, contains many exercises and some solutions, consistently points the reader towards more advanced texts in the appropriate areas, and gives many brief and interesting historical anecdotes.
The approach is fairly elementary in many places - for instance, one proves many results for the integers alone, which are in fact true for rings in general. However, this serves the important pedagogical purpose of introducing topics in a context with which we are all familiar - later, when reading more advanced texts, the ideas are easily generalized.
The book is a great buy for the price. I highly recommend it.
11 of 11 people found the following review helpful.
The most fascinating math book I've ever read.
By A Customer
This a university-level math textbook, but it can be read by anyone with a high school-level knowledge of algebra. It covers subjects such as set theory, error-correcting codes, properties of prime numbers, and boolean algebra, and it's FUN!! I especially liked the section on congruence classes. To give an example: the authors explain why a number of the form 4k + 3 (k is an integer) can never be the sum of squares, and they give you the tools to discover your own odd facts such as that. A very well-written math book.
2 of 2 people found the following review helpful.
Easy to Use Textbook
By TheHandle
The book provides the information in a very clear cut and easy to understand manner. The examples are challenging but not impossible and definitely makes learning the subject matter easier than many other books.
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