Number Theory with Applications

This book presents a self-contained logical development of basic number theory, supplemented with numerous applications and advanced topics. Focuses on the axiomatic development of number theory—showing how to prove theorems and understand the nature of number theory. Drawing applications from many areas—e.g., physics, statistics, computer science, mathematics, astronomy, cryptography, and mechanics, this book features extensive, detailed worked examples that illustrate many number theoretic patterns. Treats applications in depth with substantive discussion of the context of each application.