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Elementary Number Theory with Applications, by Thomas Koshy
Download PDF Elementary Number Theory with Applications, by Thomas Koshy
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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 problem-solving strategies (doing experiments, collecting and organizing data, recognizing patterns, and making conjectures)
Provide a wealth of carefully prepared, well-graded examples and exercises to enhance the readers' understanding and problem-solving skills
- Sales Rank: #1467892 in Books
- Published on: 2001-08-13
- Original language: English
- Number of items: 1
- Dimensions: 1.31" h x 7.69" w x 9.55" l,
- Binding: Hardcover
- 716 pages
From the Back Cover
Modern technology has brought a new dimension to the power of number theory: constant practical use. Once considered the purest of pure mathematics, number theory has become an essential tool in the rapid development of technology in a number of areas, including art, coding theory, cryptology, and computer science. The range of fascinating applications confirms the boundlessness of human ingenuity and creativity.
Elementary Number Theory captures the author�’s fascination for the subject: its beauty, elegance, and historical development, and the opportunities number theory provides for experimentation, exploration, and, of course, its marvelous applications.
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.
12 of 14 people found the following review helpful.
The best Elementary Number Theory textbook for students
By M. Perz
I recommend it for all College and University students taking number theory classes.
The book is concise, well documented, easily understandable, up to date with the last developments in the field, and with very nice examples and attractive proposed problems.
I read this textbook without letting if off my hands - like a detective novel or an exciting story.
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