Introduction to Number theory

Description

If You have understood Basics of Mathematics Course then Number Theory Course will go smooth.

Number Theory is useful in a lot of competitive Exams. Even though it may not be directly listed in Syllabus, its concept appear as sub-parts of Problems.

Number theory sometimes looks obvious and sometimes very difficult to observe. In this course I have moved from Concepts to Concepts covering supporting problems and techniques to handle certain situations. Number Theory certainly uses some algebraic techniques as well as useful theorems to deduce more conclusions.

This Course include some very useful sections of Number theory and are very beginner level concepts. Yet the variety of problems this course aim to solve is huge. These sections of Number theory are quite useful for competitive Exams. I have made sure that my approach is problem solving and not jargon.

There could be few lectures that you might need to watch more than once to grasp it completely. This course will build problem solving skills in you and will set you up to solve even Higher level exams like International Math Olympiads.

This course has video lectures, notes in pdf and workbooks to help you test your understanding along the way. To Navigate it better, Basics of Mathematics is organised into the following Sections

1) Divisibility Theorem

2) Greatest Common Divisor and its properties

3) Primes and its properties

4) Understanding of Modular Arithmetic

5) Theorems in Modular Arithmetic

6) Perfect Squares and Perfect cubes

7) Greatest Integer functions and its properties

Each Subsection will have a set of video lectures followed by Assignments based on what is being taught in the section. Attempting

Assignment before moving to another section will be beneficial. Any doubts regarding the course can be asked in Q&A.

I hope you enjoy the course,

All the best

What You Will Learn!

• Divisibility Theorem and its applications in Number Theory
• GCD and its Properties
• Primes and its Properties
• Modular Arithmetic
• Theorems on Modular Arithmetic
• Perfect Squares and Perfect cubes
• Greatest Integer Function

Who Should Attend!

• Students preparing for competitive exams like Olympiad, JEE, Kvpy
• Math and programming enthusiasts

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