Definition. A vector field on two (or three) dimensional space is a function that assigns to each point (or) a two (or three dimensional) vector given by (or). That may not make a lot of sense, but most people do know what a vector field is, or at least theyâve seen a sketch of a vector field.
Montesquieu and Rousseau were two of the philosophes during the Enlightenment that had a profound impact on Europe and the world. Although they came from different backgrounds, one a nobleman, the other a commoner, both were dissatisfied with the French kings' rule.
Euler's work in this area led to the development of the prime number theorem. Number theory. Euler's interest in number theory can be traced to the influence of Christian Goldbach, his friend in the St. Petersburg Academy. A lot of Euler's early work on number theory was based on the works of Pierre de Fermat. Euler developed some of Fermat's ideas, and disproved some of his conjectures.