The following resources will teach you about logic in the Aristotelian tradition. This is a body of knowledge accumulated over centuries which provides advice for forming and defining concepts, inducing generalizations, deducing the consequences of propositions, detecting fallacies, and so on. It does not involve truth tables or the other apparatus of modern formal logic.
Logic: An Introduction, by Lionel Ruby (basic logic)
An Introduction to Logic, by H. W. B. Joseph (advanced logic)
A glowing review of the books above by Dr. Harry Binswanger, an Objectivist philosopher, is available here:
Another Objectivist philosopher, Dr. Leonard Peikoff, has published his audio logic course to Youtube, where you can watch it for free in its entirety:
I hope these resources are of use to you.
Logic: An Introduction, by Lionel Ruby (basic logic)
An Introduction to Logic, by H. W. B. Joseph (advanced logic)
A glowing review of the books above by Dr. Harry Binswanger, an Objectivist philosopher, is available here:
Another Objectivist philosopher, Dr. Leonard Peikoff, has published his audio logic course to Youtube, where you can watch it for free in its entirety:
I hope these resources are of use to you.