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Elementary Number Theory with Applications, Second Edition, by Thomas Koshy
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This second edition updates the well-regarded 2001 publication with new short sections on topics like Catalan numbers and their relationship to Pascal's triangle and Mersenne numbers, Pollard rho factorization method, Hoggatt-Hensell identity. Koshy has added a new chapter on continued fractions. The unique features of the first edition like news of recent discoveries, biographical sketches of mathematicians, and applications--like the use of congruence in scheduling of a round-robin tournament--are being refreshed with current information. More challenging exercises are included both in the textbook and in the instructor's manual.
Elementary Number Theory with Applications 2e is ideally suited for undergraduate students and is especially appropriate for prospective and in-service math teachers at the high school and middle school levels.
* Loaded with pedagogical features including fully worked examples, graded exercises, chapter summaries, and computer exercises
* Covers crucial applications of theory like computer security, ISBNs, ZIP codes, and UPC bar codes
* Biographical sketches lay out the history of mathematics, emphasizing its roots in India and the Middle East
- Sales Rank: #1728586 in Books
- Published on: 2007-05-22
- Original language: English
- Number of items: 1
- Dimensions: 1.41" h x 7.78" w x 9.42" l, 3.03 pounds
- Binding: Hardcover
- 800 pages
Review
"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."
-ZENTRALBLATT MATH
Most helpful customer reviews
2 of 2 people found the following review helpful.
easier than Knuth
By W Boudville
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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