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Blog Layout 3

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

Profile PhotoAshani DasguptaApril 12, 2015

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

Profile PhotoAshani DasguptaJune 10, 2014

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

Profile PhotoAshani DasguptaJanuary 23, 2014

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

Profile PhotoAshani DasguptaNovember 21, 2013

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

Profile PhotoAshani DasguptaNovember 14, 2013

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

Profile PhotoAshani DasguptaFebruary 16, 2018

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

Profile PhotoAshani DasguptaFebruary 5, 2018

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

Profile PhotoAritra BhattacharyaFebruary 1, 2018

INMO 2017

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

Profile PhotoSayoni ChakrabortyJanuary 30, 2018

INMO 2016

Let \(ABC\) be triangle in which \(AB=AC\). Suppose the orthocentre of the triangle lies on the incircle. Find the ratio …Read More

Profile PhotoSayoni ChakrabortyJanuary 29, 2018

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

Profile PhotoAshani DasguptaJanuary 29, 2018

INMO 2018

Let ABC be a non-equilateral triangle with integer sides. Let D and E be respectively the mid-points BC and C …Read More

Profile PhotoSayoni ChakrabortyJanuary 28, 2018

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

Profile PhotoAshani DasguptaJanuary 26, 2018

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

Profile PhotoAshani DasguptaJanuary 23, 2018

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