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Anthony Vazzana, Martin Erickson, Anthony Vazzana, David Garth

October 30, 2007
by Chapman and Hall/CRC

Textbook
- 536 Pages
- 26 B/W Illustrations

ISBN 9781584889373 - CAT# C9373

Series: Textbooks in Mathematics

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This classroom-tested, student-friendly text covers a wide range of subjects, from the ancient Euclidean algorithm for finding the greatest common divisor of two integers to recent developments that include cryptography, the theory of elliptic curves, and the negative solution of Hilbert’s tenth problem. The authors illustrate the connections between number theory and other areas of mathematics, including algebra, analysis, and combinatorics. They also describe applications of number theory to real-world problems, such as congruences in the ISBN system, modular arithmetic and Euler’s theorem in RSA encryption, and quadratic residues in the construction of tournaments. The book interweaves the theoretical development of the material with *Mathematica*^{®} and Maple™ calculations while giving brief tutorials on the software in the appendices.

Highlighting both fundamental and advanced topics, this introduction provides all of the tools to achieve a solid foundation in number theory.

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