Differential Geometry for more computer sciency people


#1

Structure and Interpretation of Computer Programming, and Structure and Interpretation of Classical Mechanics were both classics.

Apparently in 2013 Sussman and Wisdom followed up on SICM with a book on differential geometry https://mitpress.mit.edu/books/functional-differential-geometry

Thought some of you here would be interested to know, and by the way, open access with PDF download link on the left of the page.


#2

I have that book and read the first four chapters. It’s good stuff, but the Lisp took a while to parse through, for me at least.

I took a physics class that used Jose and Saletans book, and that helped my understanding a lot. After carefully reading the first few chapters of that I’m kind-of able to understand Betancourt and Girolami’s papers. I also like Elementary Differential Geometry, but they don’t talk about differential forms.


#3

@arya, try the first part of https://www.amazon.com/GAUGE-FIELDS-KNOTS-GRAVITY-Everything/dp/9810220340

[edit: simplify url]


#4

+1 to that. Baez and Munian’s book is awesome.