Why Lagrangian and Hamiltonian formalism

AI Thread Summary
The discussion centers on the justification for introducing specific formalisms in mechanics, highlighting their role in simplifying problem-solving. It is noted that these formalisms may also strengthen the foundational principles of mechanics. Participants are encouraged to provide links or references that elaborate on the mathematical and physical reasoning behind these approaches. The emphasis is on the practical benefits and theoretical underpinnings of these formalisms. Overall, the conversation seeks to deepen understanding of the rationale behind their use in mechanics.
Goldbeetle
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Dear all,
could please give my some links or references to material that justifies the mathematical and physical reasons for introducing these two formalisms in mechanics?

Thanks.

Goldbeetle
 
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They make some problems easier to solve. Some people would add that they place the foundations of mechanics on more solid gound.
 
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