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Leonhard Euler (April 15, 1707 Basel, Switzerland – September 18, 1783 St Petersburg, Russia) was a Swiss mathematician and physicist. He is considered to be the dominant mathematician of the 18th century and one of the greatest mathematicians of all time; he is certainly among the most prolific, with collected works filling over 70 volumes. Euler developed many important concepts and proved numerous lasting theorems in diverse areas of mathematics, including calculus, number theory, and topology. In the course of this work, he introduced much of modern mathematical terminology, defining the concept of a function, and its notation, such as sin, cos, and tan for the trigonometric functions.