All Root-Finding and Optimization

The method that laid the groundwork for what is now the modern Newton's method which would be developed by Joseph Raphson and Thomas Simpson first appeared in Isaac Newton's work in De analysi per aequationes numero terminorum infinitas (written in 1669, published in 1711 by William Jones) and in De metodis fluxionum et serierum infinitarum (written in 1671, translated and published as Method of Fluxions in 1736 by John Colson).