### Beautiful Books

This is an (ever-growing and ever-changing) list of books, useful for school and college mathematics students. If you are working …

Read More### I.S.I. Entrance Interview Problems

a and b are two numbers having the same no. of digits and same sum of digits (=28). Can one …

Read More### Math and Basic Science in India after school

We observe a renewed interest in basic science and mathematics in India after decades of engineering mania. This is a …

Read More### Initiating a child into the world of Mathematical Science

“How do I involve my son in challenging mathematics? He gets good marks in school tests but I think he …

Read More### What is RMO and how to prepare for it

What is RMO RMO or Regional Math Olympiad is the first round of mathematics contest (in India) leading to the …

Read More### A familiar Functional Equation

Cauchy’s functional equations are very simple. The most familiar one has a simple formula: f(x + y) = f(x) + …

Read More### Cauchy’s Functional Equation’s Application – INMO 2018 Problem 6

An Application of Cauchy’s Functional Equation Cauchy’s functional equation is a description of a function. $$ f(x + y) = …

Read More### Jensen’s Inequality (NBHM 2017 problem 5.2)

Question: Let \(n\in\mathbb{N}\), \(n\ge 2\). Let \(x_1,x_2,…,x_n\in(0,\pi)\). Set \(x=\frac{x_1+x_2+…+x_n}{n}\). Which of the following are true? A) \(\prod_{k=1}^{n} sinx_k \ge sin^nx …

Read More### Contraction of a function – advanced Cheenta seminar

It is almost like deflating a balloon. But the effect is exponential. Today (29th January 2018, Monday), we have a …

Read More### Graphing the exponential (TOMATO Objective 699)

Graphing an exponential function can be tricky. We are familiar with the graph of \( e^x \). But what if …

Read More### Introducing Math Circle

In 2018, we are introducing Math Circle memberships. The members have exclusive access to: Weekly live and online Doubt Clearing …

Read More