What to learn in classical mechanics?How to learn it well?

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SUMMARY

The discussion centers on the challenges faced by students learning classical mechanics, particularly the mathematical aspects such as Lagrangian mechanics and calculus of variations. Participants recommend focusing on strengthening mathematical foundations to better understand the application of these concepts in physics. Specific book recommendations include Thornton's text for its clarity and detail compared to Goldstein's more complex approach. Mastery of related mathematical concepts is essential for success in classical mechanics.

PREREQUISITES
  • Understanding of Lagrangian mechanics
  • Familiarity with calculus of variations
  • Strong foundation in mathematical concepts relevant to physics
  • Knowledge of classical mechanics principles
NEXT STEPS
  • Study Lagrangian mechanics in detail
  • Learn calculus of variations techniques
  • Read Thornton's classical mechanics textbook
  • Review mathematical concepts applicable to physics
USEFUL FOR

Students of physics, educators teaching classical mechanics, and anyone seeking to improve their understanding of the mathematical foundations in physics.

zergju
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I am having a course on classical mechanics and find it rather hard..I mean its just too mathematical for me.. I find that lagrangian is mostly about changing coordinates and using formulas... but when I come to doing problems myself i find them quite difficult, like simple problem such as prooving FERMAT's law with calculus of variations.. and so on.. It just seems that I do not know how and where to start
What can I do bout this? is there any recomendation from u guys? any book recommandations?
I just feel that a book by thorton is easier understanding and yet encluding more details than the goldstein one.. am i misjudging?
 
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It's hard to say. Generally, you need to develop the math background to understand how the math is being applied in physics. So the advice would be to study the related math and master it.
 

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