Classical mechanics text recommendation

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For those seeking a classical mechanics book with a strong mathematical foundation, "Mathematical Methods of Classical Mechanics" by V. I. Arnold is highly recommended. Another key suggestion is "Classical Mechanics" by Goldstein, particularly the third edition co-authored by Poole and Safko, which is considered a standard text for graduate-level courses. The discussion also touches on the definition of "heavily mathematical based," with inquiries about whether this refers to texts utilizing a differential geometry approach. This highlights the need for clarity in what constitutes a mathematical focus in classical mechanics literature.
adriang
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I'm looking for a classical mechanics book that is heavily mathematical based, I've looked around a little however I'm lazy and don't want to buy a dud book. any recommendations would be great, thanks. (also i know there's 100000000000threads on text recom's however can't seem to find much ppl asking for heavily mathematical based ones)
 
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Mathematical Methods of Classical Mechanics - V. I. Arnold
 
Classical Mechanics - Goldstein (third edition is by Goldstein, Poole and Safko). This is pretty much the standard text for the introductory course in classical mechanics at the graduate level.
 
adriang said:
I'm looking for a classical mechanics book that is heavily mathematical based

What do you mean by "heavily mathematical based"?

Do you mean texts that use a differential geometry-based approach?
 

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