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Leonhard Euler (1707-1783), a Swiss mathematician, is considered among the most prolific and influential mathematicians of all time. He published over 800 papers in his lifetime and won the prestigious Paris Academy Prize 12 times. Euler systematized mathematics by introducing the symbols "e", the base of the natural logarithm, "i", the imaginary number, and "f(x)" for f as a function of x. Euler made important contributions to geometry, calculus, and number theory. He integrated Leibniz's differential calculus and Newton's method of fluxions into mathematical analysis. He introduced beta and gamma functions, and integrating factors for differential equations. In number theory, Euler proved that the divergence of the harmonic series implied an infinite number of Primes, he factored the fifth Fermat number (thus disproving Fermat's conjecture), and showed that "e" was irrational. Euler also studied continuum mechanics, lunar theory with Clairaut, the three-body problem, elasticity, acoustics, the wave theory of light, hydraulics, and music.
Cutler Cleveland (Lead Author);Tom Lawrence (Topic Editor) "Euler, Leonhard". In: Encyclopedia of Earth. Eds. Cutler J. Cleveland (Washington, D.C.: Environmental Information Coalition, National Council for Science and the Environment). [First published in the Encyclopedia of Earth September 14, 2006; Last revised Date September 14, 2006; Retrieved May 23, 2012 <http://www.eoearth.org/article/Euler,_Leonhard>
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Editor-in-Chief
The Encyclopedia of Earth Cutler J. Cleveland is the founding Editor-in-Chief of the Encyclopedia of Earth. Dr. Cleveland is currently a Professor in the Department of Geography and Environment at Boston University, with joint appointments in the Center for Energy and Environmental Studies and the Pardee Center for the Study of the Longer Range Future. He also is a Senior Fellow at the National Council for Science and the Environment in Washington D.C. Dr. Cleveland is als ... (Full Bio)
Leonhard Euler (1707-1783), a Swiss mathematician, is considered among the most prolific and influential mathematicians of all time. He published over 800 papers in his lifetime and won the prestigious Paris Academy Prize 12 times. Euler systematized mathematics by introducing the symbols "e", the base of the natural logarithm, "i", the imaginary number, and "f(x)" for f as a function of x. Euler made important contributions to geometry, calculus, and number theory. He integrated Leibniz's differential calculus and Newton's method of fluxions into mathematical analysis. He introduced beta and gamma functions, and integrating factors for differential equations. In number theory, Euler proved that the divergence of the harmonic series implied an infinite number of Primes, he factored the fifth Fermat number (thus disproving Fermat's conjecture), and showed that "e" was irrational. Euler also studied continuum mechanics, lunar theory with Clairaut, the three-body problem, elasticity, acoustics, the wave theory of light, hydraulics, and music.
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