What are the central pillars of classical mechanics?

AI Thread Summary
Classical mechanics can effectively explain electrodynamics by incorporating electromagnetic forces into its framework. The discussion highlights a desire for clarity on the foundational principles of classical mechanics, as they are often overlooked in early education. Unlike quantum mechanics, which is presented with specific postulates, classical mechanics lacks a structured overview in many courses. A recommendation is made to consult the book "Goldstein" for a comprehensive understanding of these principles. This inquiry reflects a need for better resources to grasp the theoretical foundations of classical mechanics.
camel_jockey
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From what I have understood, electrodynamics can be completely explained using classical mechanics, i.e. by plugging in the electromagnetic force and then predicting the dynamics using classicla mechanics.

With classical mechanics being the more fundamental of these two classical theories, I am therefore interested in the theoretical foundation of classical mechanics. In courses in quantum mechanics, the professors are usually good at being specific and orderly in presenting the "central pillars" and postulates of that theory. Unfortunately, classical mechanics is taught so early that the focus lands elsewhere.

So I was wondering if someone could list them for me, or tell me exactly where in exactly which book I should go look.

Thankful for any assistance
/Camel Jockey
 
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