Скачать или смотреть Number Theory Unit-2 Lesson-5: Linear Congruence Equation in One Variable

Welcome to Dr. Udar’s Math Sutra – Simplify Math, Amplify Life!

In this lesson, we dive into Linear Congruence Equations in one variable, an important topic in modular arithmetic and a core concept of Number Theory. Linear congruences are widely used in cryptography, computer science, and problem-solving for competitive exams.

🔍 In this video, you’ll learn:

Definition of a linear congruence equation in one variable

Methods to solve linear congruences

Existence and uniqueness of solutions

Step-by-step solved examples for better understanding

Applications in higher mathematics and competitive exams

🧠 Why this lesson matters:
Understanding linear congruences helps in solving modular equations, Diophantine equations, and advanced number theory theorems like Chinese Remainder Theorem, Fermat’s Little Theorem, and Euler’s Theorem. It is also highly relevant for CSIR-NET, and IIT JAM exams.

📖 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 Mathematics aspirants
✅ IIT JAM candidates
✅ Anyone preparing for competitive exams in mathematics

📌 Continue watching the Number Theory playlist to build a complete and structured understanding of the subject.