A Proof from my Book

A Proof from my Book

This is proof from my book – my proof of my all-time favorite true result of nature – Pick’s Theorem. This is the simplest proof I have seen without using any high pieces of machinery like Euler number as used in The Proofs from the Book. Given a...

ISI BStat 2018 Subjective Problem 2

Sequential Hints: Step 1: Draw the DIAGRAM with necessary Information, please! This will convert the whole problem into a picture form which is much easier to deal with. Step 2: Power of a Point – Just the similarity of \(\triangle QOS\) and \(\triangle POR\) By...
A Math Conversation – I

A Math Conversation – I

Inspired by the book of Precalculus written in a dialogue format by L.V.Tarasov, I also wanted to express myself in a similar fashion when I found that the process of teaching and sharing knowledge in an easy way is nothing but the output of a lucid discussion between...
The Dhaba Problem

The Dhaba Problem

Suppose on a highway, there is a Dhaba. Name it by Dhaba A. You are also planning to set up a new Dhaba. Where will you set up your Dhaba? Model this as a Mathematical Problem. This is an interesting and creative part of the BusinessoMath-man in you. You have to...
The Organic Math of Origami

The Organic Math of Origami

Did you know that there exists a whole set of seven axioms of Origami Geometry just like that of the Euclidean Geometry? The Origami in building the solar panel maximizing the input of Solar Power and minimizing the Volume of the satellite Instead of being very...
Natural Geometry of Natural Numbers

Natural Geometry of Natural Numbers

How does this sound? The numbers 18 and 30 together looks like a chair.  The Natural Geometry of Natural Numbers is something that is never advertised, rarely talked about. Just feel how they feel! Let’s revise some ideas and concepts to understand the...