#arithmetic

11. Number Theory

This volume studies integers and arithmetic structures. It covers divisibility, primes, modular arithmetic, Diophantine equations, and modern analytic and algebraic methods. Part I. Integers and Divisibility Chapter 1. Basic Properties of Integers 1.1 Divisibility and factors 1.2 Prime numbers 1.3 Greatest common divisor 1.4 Euclidean algorithm 1.5 Fundamental theorem of arithmetic Chapter 2. Arithmetic Functions 2.1 Definition and examples 2.2 Multiplicative functions 2.3 Möbius function 2.4 Euler totient function 2.5...