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Part song, traces back to Greece the ancient times , China and some mathematician's Indian books the infinitesimal calculus germ. Job of seventeen centuries first halves mathematician series of forerunner, approaches toward the infinitesimal calculus entrance door along different direction, Newton in the afterwards and perfect infinitesimal calculus of respectively have published a little great work , close single-step of Leibnitz theory. Eighteen centuries mathematicians the infinitesimal calculus algorithm has been spread to multivariant function but have built be partial to derivative theory and multiple accumulate points theory. This aspect contribution should give the credit to Nigula & # mainly 8226; Mathematicians such as Bonuli , Euler and Lagrange. Be founded by because of infinitesimal calculus has produced second time of "crisis" on mathematics phylogeny. The derivative and accumulate points are that the infinitesimal calculus main part calculates method. By