Leibniz in Paris 1672-1676

When Gottfried Wilhelm Leibniz first arrived in Paris in 1672 he was a well-educated sophisticated young diplomat who had yet to show any real sign of his latent mathematical abilities. Over his next four crowded formative years which Professor Hofmann analyses in detail he grew to be one of the outstanding mathematicians of the age and to found the modern differential calculus. In Paris Leibniz rapidly absorbed the advanced exact science of the day. During a short visit to London in 1673 he made a fruitful contact with Henry Oldenburg the secretary of the Royal Society who provided him with a wide miscellany of information regarding current British scientific activities. Returning to Paris Leibniz achieved his own first creative discoveries developing a method of integral `transmutation'' through which lie derived the ''arithmetical'' quadrature of the circle by an infinite series. He also explored the theory of algebraic equations. Later by codifying existing tangent and quadrature methods and expressing their algorithmic structure in a `universal'' notation lie laid the foundation of formal ''Leibnizian'' calculus.