Introduction to Number Theory (Textbooks in Mathematics) - Hardcover

Vazzana, Anthony; Erickson, Martin; Garth, David

Hardcover

ISBN 10: 1584889373 ISBN 13: 9781584889373

Publisher: Chapman and Hall/CRC, 2007

Synopsis

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.

About this title

About the Author

Truman State University, Kirksville, Missouri, USA Truman State University, Kirksville, Missouri, USA

Edition details

• Publisher: Chapman and Hall/CRC
• Publication date: 2007
• Language: English
• ISBN 10: 1584889373
• ISBN 13: 9781584889373
• Binding: Hardcover
• Edition number: 1
• Number of pages: 536