Why Lagrangian and Hamiltonian formalism

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SUMMARY

The discussion centers on the justification for using Lagrangian and Hamiltonian formalisms in mechanics. Participants agree that these approaches simplify problem-solving and provide a more robust foundation for classical mechanics. Goldbeetle emphasizes their utility in addressing complex mechanical problems effectively.

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  • Understanding of classical mechanics principles
  • Familiarity with calculus and differential equations
  • Basic knowledge of variational principles
  • Awareness of the historical context of mechanics
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Physics students, mechanical engineers, and researchers interested in advanced mechanics and theoretical physics will benefit from this discussion.

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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