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Name: Matthew Johnson
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Question:
I am interested in finding out about the method of exhaustion used by Archimedes to find the area of a sphere. We talked a little about this in my calculus class, but did not have the time to hear about this early version of calculus before it became "discovered". I would like to know about the notation used by Archimedes, what he discovered, and where to find more about this interesting early math history.

I would appreciate a response here. Thank you.



Replies:
A book available in many libraries, I expect, is The Works of Archimedes with the Method of Archimedes edited by T. L. Heath (Dover Reprint). Heath translates the work into modern notation. This is reasonable since we are trained to read modern form, much of which did not exist in the time of Archimedes. For another source, in which the author claims to produce a notation for the purpose of bringing us closer to the times of the work, is "Archimedes", by E. J. Dijksterhuis (Princeton U. Press, 1987, ISBN 0691084211).

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