ABSTRACT

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 topi

part 1|2 pages

Part I: Core Topics

chapter 1|12 pages

Introduction

chapter 2|42 pages

Divisibility and Primes

chapter 3|44 pages

Congruences

chapter 4|28 pages

Cryptography

chapter 5|30 pages

Quadratic Residues

part 2|2 pages

Part II: Further Topics

chapter 6|44 pages

Arithmetic Functions

chapter 7|40 pages

Large Primes

chapter 8|58 pages

Continued Fractions

chapter 9|54 pages

Diophantine Equations

part 3|2 pages

Part III: Advanced Topics

chapter 10|36 pages

Analytic Number Theory

chapter 11|58 pages

Elliptic Curves

chapter 12|38 pages

Logic and Number Theory

chapter |8 pages

A Mathematica Basics

chapter |4 pages

B Maple Basics

chapter 100|4 pages

Appendix C: Web Resources

chapter |4 pages

D Notation