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Ask HN: What kind of math do you study in your free time?

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Re: Ask HN: What kind of math do you study in your free time?

#16
Been going through Conway's (and Conway related) books since his unfortunate passing. His biography by Siobhan Roberts was a great starting point to ease into it (lots of direct quotes from Conway, which makes it a very easy read that still touches on the important concepts in his work, in his own words; also highly recommend all the Numberphile videos featuring him for that)- then:

Winning Ways for your Mathematical Plays is really fun to thumb through.

The Book of Numbers is fantastic and something I would gift to any mathematically curious, somewhat independent, child.

Knuth's Surreal Numbers is also a great read.

Got On Numbers and Games coming in the mail, and am trying to track down a reasonably priced copy of The Symmetries of Things.

I'm tempted to get the Atlas for my collection, but I don't think I'd actually get much from reading it (:

In non-Conway recommendations, The Princeton Companion to Mathematics is a huge brick of a volume, but is a very complete math encyclopedia that I love to keep on my desk and thumb through when I feel distracted. You always end up learning something new.

Re: Ask HN: What kind of math do you study in your free time?

#17
Some math topics I like to read about / play with:

- Measure theory / lebesque/daniell integration / stochastic calculus -- super useful but very beautiful. I have a background in mathematical finance.

- Combinatorial topology -- Simplicial complexes, polytopes. A more finite/computational flavor of algebraic topology.

- Dynamical systems: Highly interdisciplinary. Brings together physics, fractals, calculus, and computer simulations.

- Multilinear Algebra -- tensors, grassman algebras.

- History of Mathematics -- love reading about the development of mathematics throughout the centuries.

Re: Ask HN: What kind of math do you study in your free time?

#18
post #6

I'm working my way through Ivan Savov's "No bullshit guide to math & physics" - https://www.goodreads.com/book/show/22876442-no-bullshit-gui... Would recommend it to anyone whose maths needs a bit of a brush up, or anyone who's interested in basic mechanics! Oh and I'm using Khan Academy for extra practice, which I can warmly recommend as well.

Great book, too bad it's got such an offensive title. The book could be used more widely without it.

Re: Ask HN: What kind of math do you study in your free time?

#20
post #11

Bartosz Milewski's lectures on category theory are great. Also, the accompanying book is well written (and free)! lectures -> https://www.youtube.com/user/DrBartosz book -> https://github.com/hmemcpy/milewski-ctfp-pdf

Another good category theory read is Pierce's Category Theory for Computer Scientists
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