Скачать или смотреть Number Theory Unit 2 Lesson 1: Modular Arithmetic and Its Properties

In this lesson, we begin Unit 2 of Number Theory with the concept of Congruences, one of the most fundamental and powerful ideas in modern mathematics. Congruences plays a key role in number theory, cryptography, and computer science.

🔍 In this video, you’ll learn:

Definition of congruence relation

Properties of congruences (reflexive, symmetric, transitive)

Basic rules of congruences under addition, subtraction, and multiplication

Modular arithmetic essentials

Solved examples for better understanding

🧠 Why this lesson matters:
Understanding congruences and their properties provides a strong foundation for advanced topics such as linear congruences, Fermat’s theorem, Chinese Remainder Theorem, and cryptography applications.

📖 Recommended Reference Books:

Elementary Number Theory by David M. Burton

An Introduction to the Theory of Numbers by Niven, Zuckerman & Montgomery

🎯 Perfect for:
✅ B.Sc. / M.Sc. Mathematics students
✅ CSIR-NET aspirants
✅ IIT JAM and other competitive exams
✅ Anyone interested in Number Theory and its applications

📌 Don’t forget to follow the Number Theory playlist for a step-by-step understanding of all lessons.