Adventures in Geometry 1

Adventures in Geometry 1

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...
After all, functors are well known! 

After all, functors are well known! 

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)...
A familiar Functional Equation

A familiar Functional Equation

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...
Geminid Meteor Shower

Geminid Meteor Shower

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...