Classical mechanics text recommendation

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Discussion Overview

The discussion revolves around recommendations for classical mechanics textbooks that emphasize mathematical rigor. Participants are seeking texts that provide a strong mathematical foundation in the subject, with a focus on advanced approaches.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant requests recommendations for classical mechanics books that are heavily mathematical in nature.
  • Another participant suggests "Mathematical Methods of Classical Mechanics" by V. I. Arnold as a suitable option.
  • A different participant recommends "Classical Mechanics" by Goldstein, noting that the third edition is co-authored by Poole and Safko and is considered a standard text for graduate-level introductory courses.
  • A follow-up question seeks clarification on what is meant by "heavily mathematical based," specifically asking if this refers to texts that utilize a differential geometry-based approach.

Areas of Agreement / Disagreement

Participants have not reached a consensus on the definition of "heavily mathematical based," and multiple interpretations of this term are present in the discussion.

Contextual Notes

The discussion lacks clarity on specific mathematical prerequisites or the intended audience for the recommended texts, which may affect their suitability for different readers.

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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