71–80 of 194 posts
Art of Problem Solving is popular with the Math Olympiad types. I see that others on this thread have recommended it already. https://artofproblemsolving.com/
For analysis you absolutely MUST read Principles of Mathematical Analysis by Walter Rudin. Covers everything and is literally a gold standard text in modern analysis. "Baby Rudin" is essentially the analysis bible that all subsequent texts worked off of.
During the first year of my undergrad someone introduced me to Gödel, Escher, Bach. I thought it was mind blowing at the time and still find it to be an incredible introduction to formal systems, thinking mathematically and understanding the concept of proofs. All these concepts are central to higher level mathematics, and are not covered in high school (at least not the Danish one). I'm was very thankful for that in…
Jan Gullberg - Mathematics: From the Birth of Numbers https://www.amazon.com/gp/product/039304002X Amazon.com Review What does mathematics mean? Is it numbers or arithmetic, proofs or equations? Jan Gullberg starts his massive historical overview with some insight into why human beings find it necessary to "reckon," or count, and what math means to us. From there to the last chapter, on differential equations, is a v…
This isn't bad. I'm surprised it's expensive now. https://www.amazon.com/No-bullshit-guide-math-physics/dp/099...
> I'm surprised it's expensive now.
Yeah amazon pricing is weird. My intent is for the book to be sold ~$30, but if I tell this price to amazon they start selling it for $20 after discounting, and then readers buy it less because they think it is not a complete book, but just some sort of summary notes. Nowadays I set the price to $40 so that after amazon discount the price will end up around $30, but today it is expensive indeed... I might have to bump it down to $35 at some point.