ABSTRACT

Number theory has a rich history. For many years it was one of the purest areas of pure mathematics, studied because of the intellectual fascination with properties of integers. More recently, it has been an area that also has important applications to subjects such as cryptography. An Introduction to Number Theory with Cryptography presents number

chapter 0|8 pages

Introduction

chapter 1|50 pages

Divisibility

chapter 2|12 pages

Unique Factorization

chapter 3|36 pages

Applications of Unique Factorization

chapter 4|60 pages

Congruences

chapter 5|26 pages

Cryptographic Applications

chapter 6|14 pages

Polynomial Congruences

chapter 7|34 pages

Order and Primitive Roots

chapter 8|22 pages

More Cryptographic Applications

chapter 9|32 pages

Quadratic Reciprocity

chapter 10|42 pages

Primality and Factorization

chapter 11|30 pages

Geometry of Numbers

chapter 12|16 pages

Arithmetic Functions

chapter 13|44 pages

Continued Fractions

chapter 14|26 pages

Gaussian Integers

chapter 15|26 pages

Algebraic Integers

chapter 16|24 pages

Analytic Methods

chapter 17|10 pages

Epilogue: Fermat’s Last Theorem