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theories:classical_mechanics

There are different ways of describing classical mechanics. Each has its individual strength and weaknesses, but in terms of observable predictions, they are all equivalent.

- Newtonian Mechanics $\leftrightarrow$ classical mechanics in real space
- Lagrangian Mechanics $\leftrightarrow$ classical mechanics in configuration space
- Hamiltonian Mechanics $\leftrightarrow$ classical mechanics in phase space
- Koopman-von-Neumann Mechanics $\leftrightarrow$ classical mechanics in Hilbert space

**Traditional Roadmap**

Newtonian Mechanics | Newton's laws | |||||||||||||

Lagrangian Mechanics | Euler-Lagrange equation, Noether's theorem, configuration space | |||||||||||||

Hamiltonian Mechanics | Hamilton's equation, canonical transformation, generating functions, Noether's theorem in the Hamiltonian formalism, phase space | |||||||||||||

**Reading Recommendations**

- The best book that gives a grand tour of classical mechanics is The Lazy Universe by Coopersmith

- A History of Mechanics by Dugas

theories/classical_mechanics.txt · Last modified: 2023/05/20 03:16 by 50.24.47.35

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