Elementary Number Theory: Primes, Congruences, and Secrets

"Elementary Number Theory: Primes, Congruences, and Secrets" is a comprehensive textbook that explores the fascinating topics of prime numbers, congruences, secret messages, and elliptic curves. Written by William Stein, the book is based on the content of courses offered at prestigious universities such as Harvard, UC San Diego, and the University of Washington. It provides a systematic examination of number theory that dates back to the origins of mathematics. Readers are introduced to the fundamentals of number theory, including the unique factorization of positive integers into primes and the historical development of significant mathematical concepts. The book also highlights the revolutionary advances in cryptography achieved through the introduction of public keys and elliptic curves, offering a deep insight into modern digital communication.