What books would help me be more logically sound?

I never argue or persuade anyone, I'm a docile creature. But as days go by, I realise that people around me are spreading illogical ideas, some of which are silly and some are serious, and sometimes I also find myself spreading illogical ideas, due to my flawed logic.

There are times when I know the person(sometimes myself) is wrong, like an instinct, and I get closer to the truth, but I'm unable to crystallize that thought. While other times I sound like a madman.

What books would you recommend that would help me spot out fallacies in logic that I believe myself or others?

Thank You.

P.S. Please don't bother do comment "What's the point in arguing/persuasion? Life is short, live". I want to understand people and the way they think. And I want to enrich myself with good ideas, and not fall prey to "alpha mindset" or something similar bullshit.