# ESP Biography

## SRUTHI NARAYANAN, MIT student double-majoring in Math and Physics

Major: Mathematics/Physics

College/Employer: MIT

Consider this: Let $$\epsilon>0$$ and $$n$$ be a natural number. Consider the polygon with $$n$$ sides. Then there exists a natural number $$N$$ such that for all $$n>N$$, $$|\bigcirc - \text{pentagon} |<\epsilon$$. If that scared you at all, then this is the perfect class to take! If I had to explain it in one line it would sound like this: An Introduction to Constructive and Proof Based Geometry. Each class I will go through a couple fundamental, though not-so-intuitive geometric theorems, and then propose a geometric construction we can draw ourselves. We will learn about proofs by induction, by construction, as well as algebraic proofs. Every class will end with a picture that you create..with the aid of compasses, protractors, rulers and even some household objects. Oh and don't forget the markers, crayons, color pencils, chalk and paint. Didn't think math could be done in pink, blue, green or neon orange? Well here is a class to prove you wrong!