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Download Introduction to Number Theory (Textbooks in Mathematics) epub

by Anthony Vazzana,Martin Erickson,David Garth




One of the oldest branches of mathematics, number theory is a vast field devoted to studying the properties of whole numbers. Offering a flexible format for a one- or two-semester course, Introduction to Number Theory uses worked examples, numerous exercises, and two popular software packages to describe a diverse array of number theory topics.

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.

Download Introduction to Number Theory (Textbooks in Mathematics) epub
ISBN: 1584889373
ISBN13: 978-1584889373
Category: Science
Subcategory: Mathematics
Author: Anthony Vazzana,Martin Erickson,David Garth
Language: English
Publisher: Chapman and Hall/CRC; 1 edition (October 30, 2007)
Pages: 536 pages
ePUB size: 1423 kb
FB2 size: 1425 kb
Rating: 4.7
Votes: 466
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