That is this mathematician's namesake method for finding the zeroes of a function.
This mathematician discovered a method of expanding algebraic functions as a Laurent series with non-integer powers, which is now called Puiseux series. He's the first namesake of a class of formulas that approximate definite integrals by integrating interpolating polynomials, and of which Simpson's rule and the trapezoid rule are special cases. His interpolation scheme involves calculating divided differences and is the most convenient when one wants to add more interpolation points. An algorithm due to this mathematician forms each guess from the previous guess minus the function over its derivative. That is this mathematician's namesake method for finding the zeroes of a function. For 10 points, name this English mathematician who developed calculus.
This mathematician discovered a method of expanding algebraic functions as a Laurent series with non-integer powers, which is now called Puiseux series.
Isaac Newton