by Ashani Dasgupta

Teacher: Stationary objects such as triangles, points or circles are not that interesting in their own right. Instead, we will explore motion. Fix a point O on a piece of paper. Pick any point A. Draw an arrow from O to A. Now begin pushing the arrow OA (keeping A...
by Ashani Dasgupta

After all, functors are well known! When you convert an object into another kind, surely functions in-between those objects also transform into a new breed. Let’s look at one example: Objects: Topological Spaces (X) Functions between Objects: Continuous maps (f)...
by Ashani Dasgupta

Cauchy’s functional equations are very simple. The most familiar one has a simple formula: f(x + y) = f(x) + f(y) But first, for the uninitiated, what is a functional equation after all? What is a functional equation? Usually, functions appear as formulae. For...
by Ashani Dasgupta

The brightest meteor shower of the year is here! From December 14th to 17th, look at the North-Eastern sky above the Gemini constellation. (It won’t be prominent in Southern Hemisphere, so our students in Singapore and Australia will miss it). In India, try...
by Ashani Dasgupta

The central theme of the thousand flowers program is: connected ideas and connected problems. We will illustrate the idea using some examples. But before we do so, let’s point out the theoretical motivation behind such a program. It is greatly borrowed from the...
by Ashani Dasgupta

Notes in Mathematics A Cheenta Newsletter I hope you are doing well. First, let me congratulate all students from India and abroad who did exceptionally well in contests like I.S.I. and C.M.I. Entrance, Math Olympiads, and other science olympiads. Among our...