Introduction to Number Theory

Introduction to Number Theory

AngličtinaPevná väzba
Vazzana Anthony
Taylor & Francis Inc
EAN: 9781584889373
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Podrobné informácie

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.

EAN 9781584889373
ISBN 1584889373
Typ produktu Pevná väzba
Vydavateľ Taylor & Francis Inc
Dátum vydania 1. októbra 2007
Stránky 536
Jazyk English
Rozmery 234 x 156
Krajina United States
Čitatelia Undergraduate
Autori Erickson Martin; Garth David; Vazzana Anthony
Ilustrácie 300 equations
Séria Textbooks in Mathematics