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...

Understand the problem The sum of Infinity series ( 1 + frac{2}{3} + frac{6}{3^2} + frac{10}{3^3} + frac{14}{3^4} + …….) is Source of the problem Sample Questions(MMA) : 2018 Problem no 24 Topic Probability Difficulty Level Medium...

Understand the problem The value of (lambda) for which the system of linear equations 2x – y – z = 12 , x -2y +z = -4 , x +y + (lambda)z = 4 has no solution is Source of the problem Sample Questions (MMA) :2019 Topic Linear Algebra Difficulty Level...