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Lunch » Tags » Books » Reviews » Elementary Number Theory with Applications » User review

Excellent book for beginning courses

  • Jan 13, 2002
Rating:
+5
This book is ideal for an undergraduate course in number theory. The combination of theory, problems and biographical sketches of the principals who made it what it is today is an excellent pedagogical technique. It allows an instructor to show how number theory began very early in mathematical history and how it has progressed over the centuries. Number theory holds the distinction as being the reservoir of most of the easily stated yet difficult problems. As Paul Erdös said, "If it is a simply stated problem that has remained unsolved for centuries, it is almost certainly one in number theory." In this book, you learn the reasons for this situation.
It is also well-suited for anyone with an interest in number theory who wishes to learn more about it. The explanations are well-written and a large number of exercises are included. Solutions to the odd numbered problems are given at the end. Review, supplementary and computer exercises are also included at the end of each chapter. The bulk of the explanatory text consists of examples worked out in complete detail.
This is the book that I would use if I were teaching a course in beginning number theory. It is a complete package, not only demonstrating what is known and unknown, but the path to how it got that way.

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About the reviewer
Charles Ashbacher ()
Ranked #78
Charlie Ashbacher is a compulsive reader and writer about many subjects. His prime areas of expertise are in mathematics and computers where he has taught every course in the mathematics and computer … more
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Wiki

The advent of modern technology has brought a new dimension to the power of number theory: constant practical use. Once considered the purest of pure mathematics, it is used increasingly now in the rapid development of technology in a number of areas, such as art, coding theory, cryptology, computer science, and other necessities of modern life.
Elementary Number Theory with Applications is the fruit of years of dreams and the author's fascination with the subject, encapsulating the beauty, elegance, historical development, and opportunities provided for experimentation and application. This is the only number theory book to show how modular systems can be employed to create beautiful designs, thus linking number theory with both geometry and art. It is also the only number theory book to deal with bar codes, Zip codes, International Standard Book Numbers (ISBN), and European Article Numbers (EAN). Emphasis is on problem-solving strategies (doing experiments, collecting and organizing data, recognizing patterns, and making conjectures). Each section provides a wealth of carefully prepared, well-graded examples and exercises to enhance the readers' understanding and problem-solving skills.

This is the only number theory book to:
Show how modular systems can be employed to create beautiful designs, thus linking number theory with both geometry and art
Deal with bar codes, Zip codes, International Standard Book Numbers (ISBN), and European Article Numbers (EAN)
Emphasize ...
view wiki

Details

ISBN-10: 0124211712
ISBN-13: 978-0124211711
Author: Thomas Koshy
Publisher: Academic Press

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