The most significant contributions of Gottfried Leibniz in mathematics were in the field of calculus, where he is credited for introducing the modern notations for the integral and derivative symbols. Although Leibniz lacked formal instruction and was largely self-taught in the subject, the German physicist, philosopher, logician and mathematician exhibited a natural flair for math.
Leibniz co-developed the fundamental concepts of calculus with Isaac Newton, albeit separately. He made advancements in differential equations, invented a technique for the separation of variables, simplified mathematical expressions into divisible parts and formulated a method for calculating first order linear problems. Leibniz is also credited for initiating the use of the term "function" in math, which is represented by the notation y = f(x).