====== Classical Mechanics ======

<tabbox Formulations>
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. 

  * [[theories:classical_mechanics:newtonian]]  $\leftrightarrow$ classical mechanics in real space 
  * [[theories:classical_mechanics:lagrangian]] $\leftrightarrow$ classical mechanics in [[basic_tools:configuration_space|configuration space]]
  * [[theories:classical_mechanics:hamiltonian]] $\leftrightarrow$ classical mechanics in [[basic_tools:phase_space|phase space]]
  * [[theories:classical_mechanics:koopman_von_neumann_mechanics]] $\leftrightarrow$ classical mechanics in [[basic_tools:hilbert_space|Hilbert space]]

<tabbox Roadmaps>

**Traditional Roadmap**

<diagram>
| AA|~@2| Newton's laws |AA=[[theories:classical_mechanics:newtonian]]
| |!@4| | | | | |
| AA|~@2| Euler-Lagrange equation, Noether's theorem, configuration space |AA=[[theories:classical_mechanics:lagrangian]]
| |!@4| | | | | |
| AA|~@2| Hamilton's equation, canonical transformation, generating functions, Noether's theorem in the Hamiltonian formalism, phase space |AA=[[theories:classical_mechanics:hamiltonian]]
</diagram>

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**Reading Recommendations**

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

<tabbox History>

  * A History of Mechanics by Dugas

</tabbox>