Leonhard Euler
Beginning of paper
Euler, Leonhard (1707-83), Swiss mathematician, whose major work was done in the
field of pure mathematics, a field that he helped to found. Euler was born in
Basel and studied at the University of Basel under the Swiss mathematician
Johann Bernoulli, obtaining his master's degree at the age of 16. ....
Middle of paper
.... of Infinities (1748; trans. 1748), Euler
gave the first full analytical treatment of algebra, the theory of equations,
trigonometry, and analytical geometry. In this work he treated the series
expansion of functions and formulated the rule that only convergent infinite
series can properly be evaluated. He also discussed three-dimensional surfaces
and proved that the conic sections are represented by the general equation of
the second degree in two dimensions. Other works dealt with calcu ....
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