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Elementary Number Theory with Applications, Second Edition Hardcover – May 22, 2007

ISBN-13: 978-0123724878 ISBN-10: 0123724872 Edition: 2nd

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Product Details

  • Hardcover: 800 pages
  • Publisher: Academic Press; 2 edition (May 22, 2007)
  • Language: English
  • ISBN-10: 0123724872
  • ISBN-13: 978-0123724878
  • Product Dimensions: 9.4 x 7.8 x 1.4 inches
  • Shipping Weight: 2.9 pounds
  • Average Customer Review: 4.0 out of 5 stars  See all reviews (1 customer review)
  • Amazon Best Sellers Rank: #1,034,267 in Books (See Top 100 in Books)

Editorial Reviews


"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 coes, International Standard Book Numbers (ISBN), and European Article Numbers (EAN)...Each section provides a wealth of carefully prepared, well-graded examples and exercises to enahnce the readers' understanding and problem-solving skills."

More About the Author

Thomas Koshy, Ph. D., is Professor of Mathematics at Framingham State College, Framingham, Massachusetts. He received Faculty of the Year Award in 2007. He is the author of seven books and numerous articles on a wide spectrum of topics. His "Fibonacci and Lucas Numbers with Applications," published by Wiley, won the Association of American Publishers' new book award in 2001. The second edition of his popular "Elementary Number Theory with Applications," published by Academic Press appeared in 2007.

Customer Reviews

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Most Helpful Customer Reviews

1 of 2 people found the following review helpful By W Boudville HALL OF FAMETOP 1000 REVIEWERVINE VOICE on June 10, 2007
Format: Hardcover
For a maths student who has never before studied discrete maths, Koshy provides a good education. He takes you through several centuries of this field. At a very understandable pace. Many topics are covered. From Catalan numbers to (ancient) Egyptian multiplication to the eternal Goldbach conjecture on prime numbers.

Of course, much more recent ideas are covered. Like the Chinese remainder theorem, Euler's theorem, and public key cryptography, with a lengthy example given by the RSA cryptosystem. This is in one chapter developed to cryptology. No bad. But if your interest is this topic, you may desire a lengthier discussion, as in Stalling's book,

Cryptography and Network Security (4th Edition), or Spillman, Classical and Contemporary Cryptology.

Koshy's chapters also have the useful facet that the problems at the end of each chapter have a section on computer exercises. An acknowledgement that many of us come to this field fluent in computer programming, and perhaps with a need to use this maths in that context.

Koshy's book also overlaps with large portions of Knuth's classic volumes, "The Art of Computer Programming". But Koshy's pace of exposition is slower, and the examples are simpler to understand. For readers who might have tried reading Knuth and given up in frustration, perhaps consider Koshy for an easier read. Don't get me wrong. If you want to go seriously into number theory and computing, Knuth's books are classics. But to newcomers, Koshy could be more suitable.
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