Maths on $50 a Year
So, as the result of a conversation on #lisp the other day, I\’ve come up with this potential course of study to gain some math knowledge. Please comment, let me know which books are good, and which aren\’t. Also, any general strategies for diving into this stuff.
With the exception of Apostol and Rudin, these books are all around $10. That\’s pretty awesome.
- Introduction to Topology — Burt Mendelson
- Calculus, Vol. 1 — Tom Apostol (can I skip this one, at least on my first pass?)
- Introductory Real Analysis — A. N. Kolmogorov, S. V. Fomin
- Infinite Sequences and Series — Konrad Knopp
- Elements of the Theory of Functions and Functional Analysis — A. N. Kolmogorov, S. V. Fomin, which I might replace with Introductory Functional Analysis with Applications — Erwin Kreyszig since I already own it
- Principles of Mathematical Analysis — Rudin
So, from that list, how do I get to Category Theory? Where does Abstract Algebra fit into this? What other topics are important to a programmer using lambda calculus and machine learning?
I\’m going to try to post semi-regularly about what I\’m studying as I go. Hopefully 1. I\’ll make progress and 2. I\’ll remember to post about it here.
Thanks to farus for giving me a good path, and luis for recommending I blog about this.