## Senior's Dream

Four years ago, I wrote about my failed attempt to directly prove the following identity: \[ \left(1 + \frac{1}{3} - \frac{1}{5} -\frac{ »

Four years ago, I wrote about my failed attempt to directly prove the following identity: \[ \left(1 + \frac{1}{3} - \frac{1}{5} -\frac{ »

let's focus on good definitions...” Today, I'll explore a seemingly simple question: what is a rotation? I'm asking for the definition of a rotation, which »

After writing the previous post, I came across several related things that I thought I'd like to share. This serves as an appendix of sorts. The »

Random objects are weird... randomness itself is weird... math in general is weird.— Wire Tapper (@genepeer) February 10, 2017 I've had this thought stuck in »

This is the first of a series of post that I've been working on while I wait to get back to school. It's in the same »

Pierre de Fermat (1607-1665) is my outlier of mathematics: not because math was just a hobby for him — he was a lawyer by profession; nor »

On the last post, I gave a naive idea of where the Jacobian determinant comes from when changing variables: it was the volume of an approximate »

Years ago I used the Jacobian determinant to find the area of an astroid and made a note about finding out where it came from. There »

This is just a collection of my thoughts on debates/discussions and how being a mathematician has shaped them. It's mainly sparked by a group chat »

Suppose \( I = [0,1] \) and \( f: I \to I \) is a continuous function. Definition 1. \( f \) has a period-\( m \ge 1 \) point if there exists »