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.
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