Thanks for this resource. It also serves as a LaTeX math example --- the source for the book is provided.

Does this replace the OP? Or is "An Infinite Descent into Pure Mathematics" a complementary book?

My link replaces; we did not use OP's book when I took the course.

That said, OP's book looks more conversational in tone, which I personally have a slight preference for.

Every chapter of the OP book has an introduction which has the following subchapters: Objectives, Segue from previous chapter, Motivation, Goals and Warnings for the Reader. Which I really appreciate and I think its a great way to teach stuff, especially mathematics, since all those chapters contextualize the coming topic in various ways. (E.g. I imagine ‘Motivation’ does this with respect to the history and origins of the idea and ‘Segue from previous chapters’ contextualizes it with reference to the stuff reader has learnt so far. I didn’t read anything yet but it looks promising

I remember using Mathematical Thinking [0] for Concepts of Mathematics (21-128) which is also a great book!

[0] https://www.goodreads.com/book/show/445059.Mathematical_Thin...

That book was used in my "intro to higher math" class my freshman year. A very humbling experience, seeing that cover again gave me a bit of a knot in my stomach.

If we're dropping links, here's the one [0] from my undergrad discrete math course that seems to have a lot of overlap with the topics in the CMU book. Our professor called it "notes" but it's more like a treatise...

[0] https://www.cs.yale.edu/homes/aspnes/classes/202/notes.pdf

Thankyou for the updated link!

Ty!