Every week we dedicate an hour to Beautiful Mathematics – the Mathematics that shows us how Beautiful is our Intellect. This week, I decided to do three beautiful proofs in this one-hour session… Proof of Fermat’s Little Theorem ( via Combinatorics...

Understand the problem Find all the real Polynomials P(x) such that it satisfies the functional equation: . Source of the problem Unknown Topic Functional Equation, Polynomials Difficulty Level 7/10 Suggested Book Excursion in Mathematics Challenges and Thrills in...

Understand the problem Find all positive integer solutions of the equation Source of the problem Croatia MO 2005 Topic Number Theory Difficulty Level 6/10 Suggested Book Challenges and Thrills in Pre College Mathematics Start with hints Hint 0Hint 1Hint 2Hint 3Hint 4...

This article aims to give you a brief overview of Inequality, which can be served as an introduction to this beautiful sub-topic of Algebra. This article doesn’t aim to give a list of formulas and methodologies stuffed in single baggage, rather it is...

Suppose you are given a Number Theory Olympiad Problem. You have no idea how to proceed. Totally stuck! What to do? This post will help you to atleast start with something. You have something to proceed. But as we share in our classes, how to proceed towards any...