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

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Classical mechanics can be challenging due to its heavy reliance on mathematics, particularly in topics like Lagrangian mechanics. Many learners struggle with applying mathematical concepts to solve problems, such as proving Fermat's law using calculus of variations. It is recommended to strengthen mathematical foundations to better grasp the physics involved. Some participants suggest that books like Thornton's may offer clearer explanations compared to Goldstein's, though opinions on this vary. Overall, focusing on improving mathematical skills is crucial for mastering classical mechanics.
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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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