Number theory basics

Author: Zhang Junda
Publisher:
Publish Date: 2002-08-01
Features: The book is divided into seven chapters. The first chapter focuses on introducing the basics of elementary number theory, specifically the theory of divisibility. To help readers gain a clear and correct understanding of integers, the fundamental theory of natural numbers and the theory of ordinal numbers are introduced when this chapter begins. The second chapter introduces the original methods of the emergence and development of elementary number theory—the division with remainder and the fundamental theorem of arithmetic. The third chapter covers the basic properties of the Gaussian function [X] and the corresponding techniques and methods. The theory and applications of Diophantine equations in the fourth chapter and congruences in the fifth chapter are the basic content of elementary number theory. The sixth chapter, on Euler's theorem and Wilson's theorem, introduces the extension and generalization of fundamental concepts and methods. The book emphasizes the combination of theory and practice in Olympic mathematics, appropriately introducing the application of number theory concepts and methods in the field of mathematical olympiads.