Which books on proof-writing are stuitable for someone engaged in self-study?

Question

I want to learn how to read and write proofs. I only have basic pre-calculus skills. As I am preparing for my upcoming calculus 1 course, I wanted to understand questions like

Prove $\left|ab\right|=\left|a\right|\left|b\right|$ for any numbers $a$ and $b$.

These questions pop up in various calculus books and I need to understand them.

Any book recommendations?

Answer 1

If you're just about to move into Calculus I, you don't need to worry much about the formal logic behind the mathematics. Proofs typically pop up first in a linear algebra or abstract algebra course sophomore or junior year at a university. Real analysis is where you need to worry about proving both integral and differential Calculus, but that's a class that you take after you finish the Calculus sequence anyway. Any facts in a basic single variable Calculus class should be easy to prove with information from your textbook, if you are even required to prove anything at all.

Answer 2

Precalculus Mathematics in a Nutshell: Geometry, Algebra, Trigonometry, George F. Simmons

Pre-calculus Demystified 2/E, Rhonda Huettenmueller