Number Theory Study Guide

This guide systematically outlines the core knowledge framework of number theory, from basic concepts to advanced applications, establishing a complete theoretical framework and practical path.

Fundamental Theory of Number Theory

Classification and Basic Properties of Integers

Basic Arithmetic Rules for Integers

Prime Numbers and Modular Arithmetic Theory

Prime Distribution and the Unique Factorization Theorem

Construction and Solution of a Congruence System

Algebraic Structures: Introduction and Properties

Introduction to Algebraic Structures and Their Properties

Applications and Extensions of Number Theory

Applications and Extensions