Found in 2 comments on Hacker News
chalmette · 2018-06-09
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Studying math is the most direct and easiest route to get the human tendency to believe what's psychologically expedient beaten out of you. Any rigorous intro to math (abstract algebra, analysis, topology, whatever) book will do. But the easiest, most varied and funnest would be intro to discrete math or the so called "transition" books. For example, check out [1] Discrete Math by Susanna Epp, [2] Transition to Advanced Math by Gary Chartrand et al, [3] How to Think about Analysis by Lara Alcock, [4] Learning to Reason by Nancy Rodgers
[1] https://books.google.com/books?id=PPc_2qUhXrAC&pg=PA1&source...
[2] https://www.amazon.com/Mathematical-Proofs-Transition-Advanc...
[3] https://books.google.com/books?id=n0tuBAAAQBAJ&pg=PA4&source...
[4] https://books.google.com/books?id=J9RLuhDRWGQC&pg=PR6&source...
If you're on a budget, check out the free ones like [1] Book of Proof by Richard Hammack, [2] Math Foundations of Computing by Keith Schwarz
[1] https://www.people.vcu.edu/~rhammack/BookOfProof/
[2] https://web.stanford.edu/class/cs103/notes/Mathematical%20Fo...
One of the dirty little secrets of studying CS and math is that truly understanding 2 problems of the kind you've never seen before in 1 day is OK and expected. Hell, sometimes mere understanding of one single solution to a problem can take a week or longer. Most anyone who does better has either studied the (adjacent) material before or just trudging along half-understanding this bit and that piece hoping that sometime in the future it might all come together. And that's exactly what happens after you stick with it for awhile (often several years). Your job is to understand the thought process and philosophy of math. It's usually called "math maturity". Math/CS people reuse the same tips and tricks over and over again under many different guises and after a while you'll start seeing this repetition and even start using them yourself. It's very similar to how you learned your own native tongue. Luckily, math folk have methods to rein in this madness.
Check out [0]. It's free and teaches you some basics of structured thought. Then check out [1], [2], [3] to expand on what you've learned.
One really good unpretentious algo book that shows you how to do problems is [4].
[0] BOOK OF PROOF by Richard Hammach
https://www.people.vcu.edu/~rhammack/BookOfProof/
[1] Discrete Mathematics with Applications by Susanna Epp
https://www.amazon.com/Discrete-Mathematics-Applications-Sus...
[2] Pure Mathematics for Beginners by Steve Warner
https://www.amazon.com/Pure-Mathematics-Beginners-Rigorous-I...
[3] Mathematical Proofs by Gary Chartrand et al
https://www.amazon.com/Mathematical-Proofs-Transition-Advanc...
[4] Data Structures and Algorithms: Concepts, Techniques and Applications by G.A.V. Pai
https://www.amazon.com/gp/product/0070699577/ref=ppx_yo_dt_b...
Good Luck and don't f*ck it up!