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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?

#32
post #24

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 com…

“History of Mathematics" Anyone have good book recommendations?

I just finished The Nothing That Is - it was alright. The illustrations were cool, but the writing and content were only okay imo.

I really enjoyed Fermat's Last Theorem.

I've also heard good things about

- Zero: The Biography of a Dangerous Idea

- Journey Through Genius

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

#33
post #31

Orbital mechanics and related mathematics like Stumpff series and Universal variables. Got inspired from playing too much Kerbal Space Program and Orbiter.

I've wanted to do this for a while. What's your process like? I have a few books (Introduction to Space Dynamics, the BMW book, etc) but I'm not sure if I should read it cover to cover or try to design a curriculum etc.

Do you use any simulation software or just pen and paper?

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

#34
Related: do people have good recommendations of "casual" math books for more advanced topics? I.e. ones that an educated reader with a background in math can read through in one pass (unlike most textbooks) but nonetheless have real math in them? (And has fun exercises!)

I can start with some. Feynman's Lectures on Computing. Scott Aaronson's Quantum Computing Since Democritus (though it assumes some background knowledge of quantum computing). I think Colin Adam's "The Knot Book" (on knot theory in topology) as well.

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

#37

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 com…

I only took 1 semester of a grad-level Linear algebra course. Is there any newbie friendly book for Multilinear Algebra with emphasis on Application that you know of? Thank you!

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

#38
post #34

Related: do people have good recommendations of "casual" math books for more advanced topics? I.e. ones that an educated reader with a background in math can read through in one pass (unlike most textbooks) but nonetheless have real math in them? (And has fun exercises!) I can start with some. Feynman's Lectures on Computing. Scott Aaronson's Quantum Computing Since Democritus (though it assumes some background knowl…

Understanding Digital Signal Processing, by Richard G Lyons. It's one of the most accessible books on the topic since it's aimed at undergraduate juniors.

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

#40
I failed Linear Algebra in college because I was more interested in partying, it wasn't essential to my degree (Poli Sci), and I incorrectly assumed I could drift through it and get a C like my other hard science requirements. I am currently working through Friedberg's textbook on it.
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