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Ask HN: Books or courses to understand college level mathematics?

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Re: Ask HN: Books or courses to understand college level mathematics?

#31
post #4

Book of Proof: https://www.people.vcu.edu/~rhammack/BookOfProof/ Art of Problem Solving for if you need/want to rebuild your pre-college foundations: https://artofproblemsolving.com/store Cal Newport has great tips on studying efficiently/effectively (and you can implement some of his strategies with Anki): https://calnewport.com/case-study-how-i-got-the-highest-grad...

huh interesting links. I do appreciate the "rebuild the pre-college foundations" part too, IMO I think that's important.

I kinda undersold it, too.

They go much deeper than what you learn in high school. You'll build a foundation strong enough to flourish in any undergraduate math program in the country, including those in the Ivies.

More than enough for a CS program or a working SWE.

Re: Ask HN: Books or courses to understand college level mathematics?

#33
post #12
post #4

Book of Proof: https://www.people.vcu.edu/~rhammack/BookOfProof/ Art of Problem Solving for if you need/want to rebuild your pre-college foundations: https://artofproblemsolving.com/store Cal Newport has great tips on studying efficiently/effectively (and you can implement some of his strategies with Anki): https://calnewport.com/case-study-how-i-got-the-highest-grad...

> Art of Problem Solving for if you need/want to rebuild your pre-college foundations AoPS will do more than that. It will show you how to think about proving things carefully, an on ramp to the "rigor" of introductory analysis texts.

Huh. I'd heard of the AoPS stuff, but never knew much about it. Based on your comment here, I just ordered their "Basic Algebra" set (book + solution manual). I'll give it a spin and may consider trying other books in their series depending on how it goes. I like the idea of something that presents "high school level" material, but starts introducing the rigor needed for later mathematics. Sounds like something that could be very beneficial.
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