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theories:classical_mechanics [2018/05/04 09:42]
jakobadmin ↷ Page moved from classical_mechanics to theories:classical_mechanics
theories:classical_mechanics [2023/05/20 03:16] (current)
50.24.47.35 [Formulations]
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 <tabbox Formulations>​ <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>​
 +
 +----
 +
 +**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>​ </​tabbox>​
  
  
theories/classical_mechanics.1525419740.txt.gz · Last modified: 2018/05/04 07:42 (external edit)