You cannot read a math book like a novel. A good rule of thumb: Yes, you read that right. Read the theorem. Prove it yourself before looking at the author's proof. Close the book. Write it down.
Here is a deep look into the quintessential pillars of higher mathematics through the books that define them. The Foundation: Proof and Analysis
"Analysis I & II" by Terence Tao , a Fields Medalist, is a modern classic. Written with incredible clarity and pedagogical insight, it builds analysis from the ground up using the natural numbers as a foundation. It is often praised for being suitable for self-study.
a specific topic (like Calculus or Algebra), or are you looking for historical/philosophical overviews of math?
For higher mathematics, several classic texts are renowned not just for their rigorous content but also for their high-quality physical production. Publishers like , Dover , and Springer are frequently cited for using durable paper and solid binding. 🏛️ Standard Reference Classics
Don't let the title fool you; this is a rigorous introduction to real analysis disguised as a calculus book.