Elementary Number Theory with Applications, Instructor's Manual

 
9780124211728: Elementary Number Theory with Applications, Instructor's Manual

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

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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.

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