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- Thread starter Abelard
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- #2

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- polar coordinates and integration of polar curves

- fractional derivatives

- series and Taylor series

All of these should be quite ok for an interested high-school student...

- #3

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Hmm. Fractional calculus sounds pretty cool. But any cool applications associated with that?

- #4

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If you're looking for applications, then the other two topics sure have a lot of applications. But they might be less cool than fractional calculus

- #5

Gib Z

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If you already know basic calculus, perhaps your project could be to write an essay that places some of those calculus concepts on a firmer, more rigorous groundwork (ie, introduce yourself to basic real analysis). Apostol's Calculus Vol.1 does this quite well.

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- #7

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http://www.icp.uni-stuttgart.de/Jahresberichte/01/node2.html [Broken]

provides a good detailed explanation of the applications. It doesn't really look too hard though.

provides a good detailed explanation of the applications. It doesn't really look too hard though.

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