\large\pi
Under the direction of: Paul Friedman
A study of this fascinating number can go in many directions: its history, formulas to evaluate it, cool formulas involving it (such as Euler's $\frac{\pi^{2}}{6}=1+\frac{1}{4}+\frac{1}{9}+\frac{1}{16}+\cdots$), proofs that it is irrational, proofs that it is "transcendental" ...
This is a one-term thesis.
Prerequisite: None.
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