The calculus section had some conceptual errors in it: the binomial theorem doesn't express an area; it re-expresses a function (such as a square root) as an infinite series of polynomial terms. The integration of this series is what gives the area. Also, it is worthwhile to mention Fermat's contributions for "integrating" polynomial curves -- Newton would have never considered re-expressing a square root as an infinite polynomial if there wasn't already an easy way to compute areas under polynomial curves. I've rewritten the mathematics of this section appropriately. -[[User:Foxtrot|Foxtrot]] 04:16, 3 November 2008 (EST) | The calculus section had some conceptual errors in it: the binomial theorem doesn't express an area; it re-expresses a function (such as a square root) as an infinite series of polynomial terms. The integration of this series is what gives the area. Also, it is worthwhile to mention Fermat's contributions for "integrating" polynomial curves -- Newton would have never considered re-expressing a square root as an infinite polynomial if there wasn't already an easy way to compute areas under polynomial curves. I've rewritten the mathematics of this section appropriately. -[[User:Foxtrot|Foxtrot]] 04:16, 3 November 2008 (EST) |