Looking for Advanced Single Variable Calculus textbooks (NOT REAL ANALYSIS)

804 Views Asked by At

Does anyone know any other good advanced calculus textbooks that have much more advanced or rigorous problems?

Textbooks like: Spivak, JEE Main, Advanced Calculus Explored, Problems in Mathematical Analysis (Demidovich), AoPS Calculus, Examples & Problems in Advanced Calculus, Advanced Calculus of a Single Variable, I.A. Maron, etc.

Textbooks that aren't what I'm looking for: Rudin, Apostol, Courant, Folland, G.H. Hardy, etc.

Again, I'm not looking for Real Analysis, I'm looking for like a very "honors" type calculus book without proofs. Please, no proofs, just a calculus book with challenging or advanced problems.

I tried looking through other common Mathexchange questions and they're just proofs and answer the same exact thing that I'm not looking for.

2

There are 2 best solutions below

2
On

I think the MIT calculus book may fit your needs.

4
On

I would like to recommend

  1. Irresistible integrals
  2. Limits, Series, and Fractional Part Integrals: Problems in Mathematical Analysis(This does have some multivariable stuff but it is challenging book to solve, especially the challenge problems)
  3. Inside interesting integrals