What are the central pillars of classical mechanics?

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SUMMARY

The central pillars of classical mechanics include Newton's laws of motion, the principle of conservation of energy, the principle of conservation of momentum, and the concept of force as an interaction. Electrodynamics can be described using classical mechanics by incorporating electromagnetic forces into these foundational principles. For a comprehensive understanding, "Classical Mechanics" by Herbert Goldstein is recommended as a key resource for exploring these concepts in detail.

PREREQUISITES
  • Newton's laws of motion
  • Principle of conservation of energy
  • Principle of conservation of momentum
  • Electromagnetic force interactions
NEXT STEPS
  • Read "Classical Mechanics" by Herbert Goldstein
  • Study the derivation of Newton's laws of motion
  • Explore the applications of conservation laws in mechanics
  • Investigate the relationship between classical mechanics and electrodynamics
USEFUL FOR

Students of physics, educators teaching classical mechanics, and anyone seeking a deeper understanding of the foundational principles that govern motion and forces in classical systems.

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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Have you tried Goldstein?
 

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