08-14-2007, 08:48 PM
It is interesting that only now they are discussing these matters. Almost a century ago Brijendranath Seal had shown how bhAskara of the yAdava period had developed the concept of the derivative as in differential calculus. bhAskara had used the term tatkAlika for the derivative. He clear distinguished speed that is sthUlagati and the differential of motion or sUkShma-gati that is velocity and supplies a formula which is essentially the derivative of motion at a point (or slope of the tangent of the curve) to calculate velocity. bhAskara himself clarifies in golAdhyAya that his use of the derivative is an improvement over the approximations of brahmagupta before him. The key point to note is that calculus among the Nambuthiris did not evolve in isolation but is a part of the older mathematical tradition of India. Based on the coeval yAdava kings we can place bhAskara' s birth around 1114 CE, well before Leibniz or Newton.