This post is the result of a discussion I had with my friend, Shashvat last night. I met Shashvat by way of a high school friend — he and Shashvat were classmates in middle school and kept in touch. We attended two hackathons together, and managed to screw around and not build anything useful in either of them. Fun times.
Anyways, Shashvat is headed off to college at Oxford this fall to study computer science (yaaay!) and philosophy. As such, I like to bounce thoughts that seem remotely philosophically interesting off of him. Last night, we were discussing morality, when we somehow pivoted to the importance of being a good writer in today’s world.
I’ve wanted to start a blog for a Long Time™. I’ve always felt like I don’t have anything interesting to say, but I guess it’s not the content but the fact that I’m actually writing that matters? Whatever.
I’ve decided to write a series of articles on introductory analysis. These are mostly going to be dumbed down versions of the chapters in Tao’s Analysis I. I’m going to start by defining the natural numbers, followed by the integers, the rationals and finally the reals.
Why analysis? Well, one reason is that it turns out Shashvat had been watching a series of videos on introductory real analysis an hour before he had this discussion, so he actually knew what I meant when I said I was going to be defining the reals using Cauchy sequences! This has to be a sign. Right? RIGHT?
The other is that teaching is the best way to learn. This series of posts will help me solidify a lot of the material. Especially because I’m self-studying most of it right now. I am taking an Introduction to Analysis course this fall that apparently also covers topics like point-set topology and group theory. Super stoked for the group theory.
Anyways, this is it. Welcome to my blog, which is mostly gonna be mini-math lectures and maybe ramblings from me about life. Mostly the former though.
If anybody actually likes reading this stuff, let me know and I might cover some of the basic concepts in discrete math and computer science as well.
So long. See you next time. Maybe.