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[HM] Kepler's impact on calculus
Posted:
Nov 17, 2005 1:20 PM


I would like to forward the following question from one of my students to the members of this list:
> Do we know whether Johannes Kepler's work in mathematics, specifically > his work with stereometrics, was used or developed into methods which > we now employ in calculus? While every book I read on the subject > says that he was very important to this development, no one specifies > how his work was employed. I'm looking for a direct link where a > later mathematician referenced some of Kepler's works and used it to > work on something we would recognize as calculus, or a chain of > influence in which mathematicians each use the work of their > predecessor, the first building on Kepler's work, and the last one > doing something we would recognize as calculus. I know that we credit > Newton and Leibniz with the development of calculus, however, once we > get past them, other mathematicians must have drawn on the work of > others to develop other areas of mathematics such as computing the > volume of solids. > > One history I read says that is was Cavalieri who built on Kepler's > work but I cannot find an English version of "Geometria indivisibilius > continuorum nova quadam ratione promota." Does anyone know if an > English version of this or of Kepler's "Nova Stereometria Doliorum > Vinorum" exists. Any help would be great. Thank you in advance. > ~Matt



