* Calculus: This is perhaps his most famous contribution to mathematics. He independently developed calculus along with Gottfried Wilhelm Leibniz, and his work revolutionized the study of change and motion. Calculus is a powerful tool used in many fields, including physics, engineering, and economics.
* Newton's method: This is a numerical method for finding roots of a real-valued function. It is an iterative method that uses the tangent line to approximate the root.
* Binomial theorem: This theorem provides a formula for expanding powers of a binomial expression.
* Newtonian interpolation: This is a method for interpolating data points using a polynomial function.
* Generalized binomial theorem: This theorem extends the binomial theorem to include fractional and negative exponents.
While not a "form of mathematics" in the same way as calculus, Newton also made significant contributions to other areas of mathematics like algebra and geometry. His work laid the foundation for much of modern mathematics, and his influence continues to be felt today.
