What was Sir Isaac Newtons major contributions to science?
Newton is generally credited with the generalized binomial theorem, valid for any exponent. He discovered Newton’s identities, Newton’s method, classified cubic plane curves (polynomials of degree three in two variables), made substantial contributions to the theory of finite differences, and was the first to use fractional indices and to employ coordinate geometry to derive solutions to Diophantine equations. He approximated partial sums of the harmonic series by logarithms (a precursor to Euler’s summation formula), and was the first to use power series with confidence and to revert power series. He also discovered a new formula for calculating pi. Most modern historians believe that Newton and Leibniz had developed calculus independently, using their own unique notations. According to Newton’s inner circle, Newton had worked out his method years before Leibniz, yet he published almost nothing about it until 1693, and did not give a full account until 1704. Meanwhile, Leibniz began p
