For combinatorics, I highly recommend Miklos Bona's A Walk Through Combinatorics[0]. Combinatorics is intuitive and approachable to begin with, and this book is particularly accessible as far as math texts go.
Ask HN: What kind of math do you study in your free time?
21–30 of 97 posts
Re: Ask HN: What kind of math do you study in your free time?
#22I study no kind of math in my free time.
Re: Ask HN: What kind of math do you study in your free time?
#23I'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.
How is it offensive? Because of the word bullshit?
Re: Ask HN: What kind of math do you study in your free time?
#24Some 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?
Re: Ask HN: What kind of math do you study in your free time?
#25I always come back to playing with the Exterior (Multilinear) Algebra because it seems like there's some deep structure hiding inside of it that connects a bunch of different fields of math.
Re: Ask HN: What kind of math do you study in your free time?
#26I've enjoyed this series of lectures on Youtube:
"Lectures on Geometrical Anatomy of Theoretical Physics" [0]
[0] https://www.youtube.com/playlist?list=PLPH7f_7ZlzxTi6kS4vCmv...
Re: Ask HN: What kind of math do you study in your free time?
#27Not sure if it counts as "free time" as I study math for a living :) but optimization theory is always on my list.
If you like Strang's new book, I think you'll be quite partial to Boyd's VMLS [0] which is (in my admittedly horrible opinion) even more clear and practical and serves as an incredibly good and basic introduction to both linear algebra and basic optimization (via least squares). It assumes nothing more than pre-calculus level math and some slight familiarity with derivatives.
Honestly, I really, truly highly recommend reading it, even if you're already familiar with linear algebra. It's a joy to flip through the pages and do some of the problems (both theoretical and practical!).
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Re: Ask HN: What kind of math do you study in your free time?
#28Some 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?
The World of Mathematics by James R. Newman is a classic, filled with great biographies and short essays about various parts of math.
Re: Ask HN: What kind of math do you study in your free time?
#29I study no kind of math in my free time.
Ditto
Re: Ask HN: What kind of math do you study in your free time?
#30Topology