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Title: Elementary Number Theory and Its Applications (4th Edition) by Kenneth Rosen ISBN: 0-201-87073-8 Publisher: Addison Wesley Publishing Company Pub. Date: 01 December, 1999 Format: Hardcover Volumes: 1 List Price(USD): $116.00 |
Average Customer Rating: 5 (3 reviews)
Rating: 5
Summary: The best number theory text I have seen
Comment: Number theory, one of the last bastions of pure mathematics, has now succumbed to the vice of having applications. And one of those applications provides the security that maintains the integrity of most major financial transactions. Therefore, it is time for the textbooks on beginning number theory to reflect the changing environment.
The material in this work is standard fare, so the emphasis here will be on the applications, as that is what makes the book stand out. The chapter devoted to applications of congruences explains divisibility tests, perpetual calendars, scheduling round-robin tournaments, computer file storage, and error checking. A chapter on cryptology takes one from the simple substitution cipher on to public key ciphers. Another hot topic introduced is the idea of the zero-knowledge proof, where a person can prove that they have a proof, without revealing significant details. Like the "pure" material, this is presented in a clean, easy-to-follow framework. Each section ends with two sets of exercises, one to do by hand and the other a set of programming projects. The exercises are generally routine, but some of the programming problems will be beyond the capability of most. The answers to the odd non-programming exercises are given at the end of the book.
With approximately one-eighth devoted to applications, this book is on the crest of the wave of changes taking place in number theory. It is the best text for this material that I have ever seen.
Published in Journal of Recreational Mathematics, reprinted with permission.
Rating: 5
Summary: Number Theory for a Novice
Comment: The book starts out as though you were a Freshman or a Sophomore, when your not. It's been about 17 years since I had fun with "Linear Algebra". A -fun- read for a nerd, I guess, or others that enjoy Mathematical expantion.
Rating: 5
Summary: Makes a classic subject exciting and enticing
Comment: I'm impressed with how modern and interesting this book makes number theory seem. I've always liked this subject, but I've found the other texts out either too old-fashioned, boring, or too sophisticated. This book hits the mark. Highly recommended for the number theory enthusiast like me!
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Title: Linear Algebra and Its Applications (3rd Edition) by David C. Lay ISBN: 0201709708 Publisher: Addison Wesley Publishing Company Pub. Date: 18 July, 2002 List Price(USD): $108.00 |
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Title: Euclidean and Non-Euclidean Geometries: Development and History by Marvin Jay Greenberg ISBN: 0716724464 Publisher: W.H. Freeman & Company Pub. Date: 01 August, 1993 List Price(USD): $68.61 |
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Title: A Book of Abstract Algebra by Charles C. Pinter ISBN: 0070501386 Publisher: McGraw-Hill Companies Pub. Date: 01 October, 1989 List Price(USD): $92.30 |
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Title: Journey into Mathematics, A: An Introduction to Proofs by Joseph J. Rotman ISBN: 0138423601 Publisher: Prentice Hall Pub. Date: 13 August, 1997 List Price(USD): $76.00 |
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Title: Statistics and Probability in Modern Life by Joseph Newmark ISBN: 0030063930 Publisher: Harcourt Brace College Publishers Pub. Date: 01 December, 1996 List Price(USD): $102.95 |
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