TITLE: Knowledge of proofs and proof-writing before studying spivak's or apostol's Calculus
QUESTION [6 upvotes]: I want to start reading spivak or apostol calculus. But I believe a certain level of proof knowledge is essential to solve the problems.
Do these books teach you how to prove results or do we learn this separately?

REPLY [2 votes]: Some free material recommendations:
If you are looking for a book about learning to do proofs, I recommend The Book of Proof.
This online course is pretty good, too.
However, I don't recommend reading a "proof book" before starting on Spivak or Apostol. I fell into this trap a bit myself, and when I started my proof based courses I did not feel like they helped much. What helped was to work lots of problems and have people critique my work... revise my work (and repeat). This is a perfect place to do this! In other words, I think you should just do it, make mistakes, and learn from them.
Dive in, look at a book for reference if you need to (or a short web article), and get feedback!
EDIT: Spivak and Apostol definitely show you enough to do the problems (I think Apostol more so). You might not learn terms such as "direct proof," "proof by contrapositive," etc. but you will see how to do proofs by reading the ones in the text. But you will definitely learn how to do a proof by induction, for instance.