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Possible Duplicates:
Examples where physical heuristics led to incorrect answers?
Examples of using physical intuition to solve math problems

V. I. Arnold argues ( that math is most effectively learned in conjunction with its physical motivation. Are there good examples of when physics provides insight into math, and are there recommended books that approach mathematics in such a fashion?

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marked as duplicate by Steve Huntsman, José Figueroa-O'Farrill, Loop Space, Andreas Thom, Qiaochu Yuan Nov 29 '10 at 22:08

This question was marked as an exact duplicate of an existing question.

Virtual duplicate of… to close. – Steve Huntsman Nov 29 '10 at 20:47

I think one of the most intriguing examples is mirror symmetry: physical intuition has suggested formulae for the number of curves of a fixed genus ona Calabi-Yau 3-fold that mathematicians did not expect

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