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Schmidt, Erhard (1876-1959)
Main research was functional analysis, doctorate was obtained under Hilbert's supervision, main interest was in integral equations and Hilbert space, best remembered for the Gram-Schmidt orthogonalisation process.
http://history.math.csusb.edu/Mathematicians/Schmidt.html
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Zermelo - Ernst Friedrich Ferdinand Zermelo (1871-1953)
Zermelo in 1908 was the first to attempt an axiomatisation of set theory
http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Zermelo.html
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Bernoulli, Daniel (1700-1782)
Most important work considered the basic properties of fluid flow, pressure, density and velocity, and gave their fundamental relationship now known as Bernoulli's principle.
http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Bernoulli_Daniel.html
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Bessel - Friedrich Wilhelm Bessel (1784-1846)
Catalogued stars, predicted a planet beyond Uranus as well as the existence of dark stars, investigated Johann Kepler's problem of heliocentricity, and systematized the mathematical functions involved, which now bear his name.
http://www.astro.uni-bonn.de/~pbrosche/persons/pers_bessel.html
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Cauchy, Augustin Louis (1789-1857)
Cauchy contributed to almost every branch of mathematics. He is probably best known for his important contributions to real and complex analysis.
http://www-groups.dcs.st-andrews.ac.uk/~history/Mathematicians/Cauchy.html
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Chebyshev - Pafnuty Lvovich Chebyshev (1821-1894)
Work on prime numbers included the determination of the number of primes not exceeding a given number, wrote an important book on the theory of congruences, proved that there was always at least one prime between n and 2n for n > 3.
http://www-history.mcs.st-and.ac.uk/~history/Mathematicians/Chebyshev.html
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Diophantus of Alexandria (c. 200-284 )
Best known for his Arithmetica, a work on the theory of numbers, a collection of 130 problems giving numerical solutions of determinate equations.
http://history.math.csusb.edu/Mathematicians/Diophantus.html
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Dirichlet - Johann Peter Gustav Lejeune Dirichlet (1805-1859)
Proved that in any arithmetic progression with first term coprime to the difference there are infinitely many primes, units in algebraic number theory, ideals, proposed the modern definition of a function.
http://turnbull.dcs.st-and.ac.uk/~history/Mathematicians/Dirichlet.html
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Gauss, Johann Carl Friedrich (1777-1855)
One of the all-time greats, Gauss began to show his mathematical brilliance at the early age of seven. He is usually credited with the first proof of The Fundamental Theorem of Algebra.
http://www-groups.dcs.st-andrews.ac.uk/~history/Mathematicians/Gauss.html
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Lambert - Johann Heinrich Lambert (1728 - 1777)
In a memoir in 1768 on transcendental magnitudes he proved that pi is incommensurable.
http://www.maths.tcd.ie/pub/HistMath/People/Lambert/RouseBall/RB_Lambert.html
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