Early Newtonian and Leibnizian development of the calculus

The contemporaneous development of the calculus in the seventeenth century by Newton and Leibniz is one of the most important mathematical achievements of all time. The independent development by two different people with differing notations and differing ways of thinking makes for a fascinating story in the history of mathematics. Teachers of calculus and the history of mathematics can profit from the following, brief account of this history along with references for further study. Also included are ideas for using the history in calculus and history of mathematics classes.