Everything you always wanted to know about mathematics (2013) [pdf]

Judging by the URL, this book was used for CMU's 15-151 / 21-128, which is a first-semester course for CS and math undergrads. Nowadays, the course uses [0].

[0] https://infinitedescent.xyz/

Re: Everything you always wanted to know about mathematics (2013) [pdf]

#6

Post by abhayhegde » Thu, May 25, 2023, 1:22 PM UTC

uldo wrote: post #3

Beautifull! Is there similar book on physics?

I'd say the Feynman Lectures of Physics [1] volumes cover a broad base with some topics in great detail as well.

[1]: https://www.feynmanlectures.caltech.edu/

Re: Everything you always wanted to know about mathematics (2013) [pdf]

#7

Post by ConnorMooneyhan » Thu, May 25, 2023, 1:28 PM UTC

As someone with a B.S. in Pure Mathematics who is now a programmer, it makes my heart happy to see my true love at the top of HN.

Re: Everything you always wanted to know about mathematics (2013) [pdf]

#8

Post by slopbop » Thu, May 25, 2023, 1:32 PM UTC

If I remember correctly, Brendan Sullivan had a reputation as a TA for Concepts of Mathematics at CMU as "Math Jesus", not sure if that was a testament to his pedagogical skills or just due to the long hair and beard...

Re: Everything you always wanted to know about mathematics (2013) [pdf]

#9

Post by witchesindublin » Thu, May 25, 2023, 1:33 PM UTC

I like how the book is written in a teaching style rather than a textbook style.

Re: Everything you always wanted to know about mathematics (2013) [pdf]

#10

Post by mbork_pl » Thu, May 25, 2023, 1:38 PM UTC

quickthrower2 wrote: post #4

Interesting! No touch on probability/stats though? Or calculus?

Well, there's too much of (modern) mathematics to touch everything - even everything important... One of the most important notions is that of compact sets, and it's not even mentioned. Neither are groups (well, they are mentioned, but not much else), etc.

From a quick skim of the ToC this looks very well thought-out. Looks like an excellent book!