What is the minimum mathematic requirement for learning Lagrangian and Hamiltonian mechanics?

In summary, the minimum mathematical requirement for Lagrangian and Hamiltonian mechanics varies depending on the teacher and how it is presented. Generally, a background in Calculus 3, differential equations, and Math Methods in Physics is sufficient. However, for a more rigorous and comprehensive understanding, knowledge of Calculus of Variations and possibly some tensor calculus and differential geometry may be beneficial.
  • #1
LCSphysicist
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What is the minimum mathematic requirement to the Lagrangian and hamiltonian mechanics?
Maybe calc 3 and linear algebra?
 
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  • #2
It depends on the teacher and how it is presented. When I learned it, all I had was Calc 3, diff eq, and Math Methods in Physics. A much more rigorous and fulfilling presentation is possible if one has had more instruction in Calculus of Variations than those courses often cover.

https://en.wikipedia.org/wiki/Calculus_of_variations
 
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  • #3
For a grad course a little bit of tensor calculus/differential geometry might be beneficial. I started going through a grad book on analytical mechanics without those concepts and it was quite challenging to understand some topics.
 

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