[Math] Rigorous Calculus Textbook

book-recommendationcalculusreference-requestsoft-question

As a reader of I. M. Gelfand's algebra/trigonometry and A. P. Kiselev's geometry textbooks, I am struggling to find an equally rigorous calculus textbook. I've tried Stewart's "Calculus: Early Transcendentals", but it's way too (for lack of other words) fluffy. I enjoyed Gelfand/Kiselev books because of their succinctness and rigor, where the few exercises were never the same (i.e. solving 2 quadratic equations where $a$, $b$, and $c$ are just different numbers).

I'm looking into Tom Apostol's book, but there the only editions I've seen have terrible formatting and many typos. I attempted Thompson's book (the one Richard P. Feynman studied by), but there are typos even in the answer key, which confused me severely as a self-learning student new to calculus.

Also, as a bonus, but not a requirement, if the book includes some linear algebra (like Apostol's), that would be a plus.

Best Answer

I've decided on Introduction to Calculus and Analysis by Richard Courant. So far, so good!