Re: History of Calculus



Linear1983 wrote:

Anyone know of any interesting topics in the History
of Calculus that would be worth researching?

As others have already said, pretty much everything
has been beat to death. However, something that seems
as if it could be of general interest are various ways
of evaluating definite integrals by the use of partitions
whose division points are not equally spaced. Fermat
was able to integrate positive rational powers of x
by using partitions whose division points were spaced
apart in a geometric sequence. Are there other examples
of this? Not just other situations where geometric
spacings were used, but better yet, other methods of
spacing besides equally spaced and geometrically spaced
division points were used to expediate the evaluation
of a definite integral "from scratch". I don't know
the answer to this last question, so I suspect it doesn't
fall into the category of being "beat to death.

Dave L. Renfro

.



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