### Beautiful Books

Apr 12,15This 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

Jun 10,14a 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

Jan 23,14We 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

Nov 21,13“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

Nov 14,13What 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

Feb 16,18Cauchy’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

Feb 5,18An 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)

Feb 1,18Question: 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### INMO 2017

Jan 30,18In the given figure, \(ABCD\) is a square sheet of paper. It is folded along \(E F\) such that \(A\) …

Read More### INMO 2016

Jan 29,18Let \(ABC\) be triangle in which \(AB=AC\). Suppose the orthocentre of the triangle lies on the incircle. Find the ratio …

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

Jan 29,18It is almost like deflating a balloon. But the effect is exponential. Today (29th January 2018, Monday), we have a …

Read More### INMO 2018

Jan 28,18Let ABC be a non-equilateral triangle with integer sides. Let D and E be respectively the mid-points BC and C …

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

Jan 26,18Graphing an exponential function can be tricky. We are familiar with the graph of \( e^x \). But what if …

Read More### Introducing Math Circle

Jan 23,18In 2018, we are introducing Math Circle memberships. The members have exclusive access to: Weekly live and online Doubt Clearing …

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