Beginning with the arithmetic of the rational integers and proceeding to an introduction of algebraic number theory via quadratic orders, Fundamental Number Theory with Applications reveals intriguing new applications of number theory. This text details aspects of computer science related to
cryptography
factoring
primality testing
complexity analysis
computer arithmetic
computational number theory Fundamental Number Theory with Applications also covers:
Carmichael numbers
Dirichlet products
Jacobsthal sums
Mersenne primes
perfect numbers
powerful numbers
self-contained numbers Numerous exercises are included, testing the reader's knowledge of the concepts covered, introducing new and interesting topics, and providing a venue to learn background material. Written by a professor and author who is an accomplished scholar in this field, this book provides the material essential for an introduction to the fundamentals of number theory.
