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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?

#71

Post by aaron-santos »

snicker7 wrote: post #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 com…

Any stochastic calculus resource recommendations? Tangentially, I've been interested in getting into SDEs, specifically parameter estimation, but don't know enough about the topic to know good resources from bad.

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

#73

Post by wfdctrl »

spekcular wrote: post #48
xyzal wrote: 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

What practical applications does it present for programmers? I've looked at this a bit and it just seems like a regular category theory book.

You don't get scared when you read stuff about Haskell because you know what most the fancy words mean

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

#74

Post by iamcreasy »

LolWolf wrote: post #27

Not 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 t…

Thanks! I just took Linear Algebra and Regression Analysis class, and this book seems to be a perfect bridge between these two courses.

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

#75

Post by Koncopd »

iamcreasy wrote: post #37
snicker7 wrote: post #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 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!

There is a wonderful book "Linear Algebra via Exterior Products" by Sergei Winitzki. You can download it for free from his site - https://sites.google.com/site/winitzki/linalg

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

#76

Post by ARandomerDude »

elric wrote: post #23
ARandomerDude wrote: post #18

Earlier quoted context omitted.

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?

Yes. Can you imagine this used in a professional or collegiate setting?

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

#77

Post by ylem »

joycian wrote: post #68
User23 wrote: post #42

Earlier quoted context omitted.

Visual Complex Analysis. I’d hesitate to call it casual, but it’s extremely accessible to someone with some basic mathematical knowledge.

Also, Visual Group Theory.

I used Visual Group theory as the basis for some workshops. It's a really good read.

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

#78

Post by S4M »

I tried to learn Galois theory on Coursera a few years ago (the course was in French, which is my mother tongue, but probably few HNers can understand it), and failed the class partly due to lack of time. Since then I've been trying from time to time to read about it, which refreshed knowledge of Group theory, but so far I haven't gotten to the point where I understand Galois's idea to prove that some polynomial equations are not solvable by radicals.

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

#79

Post by notduncansmith »

I’m obsessed with the Mandelbrot Set, so a lot of the mathematics I read recreationally branches from that: fractals, complex numbers, Riemannian and Hermitian manifolds, and related topics.

As a software developer, I explore lots of computer/data-science related topics as well, e.g. cellular automata, dynamics, and some statistics.

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

#80

Post by iamcreasy »

Koncopd wrote: post #75
iamcreasy wrote: post #37

Earlier quoted context omitted.

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!

There is a wonderful book "Linear Algebra via Exterior Products" by Sergei Winitzki. You can download it for free from his site - https://sites.google.com/site/winitzki/linalg

Thanks. But this book seems to be mostly theoretical. I was looking for one with an emphasis on practical/real life problems.
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