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21 Cards in this Set

  • Front
  • Back
Isaac Newton
1643-1727; British; Development of infinitesimal calculus (differentiation and integration), laid ground work for almost all of classical mechanics, generalized binomial theorem, infinite power series
Gottfried Leibniz
1646-1716; German; Independently developed infinitesimal calculus (his calculus notation is still used), also practical calculating machine using binary system (forerunner of the computer), solved linear equations using a matrix
Jacob Bernoulli
1654-1705; Swiss; Helped to consolidate infinitesimal calculus, developed a technique for solving separable differential equations, added a theory of permutations and combinations to probability theory, Numbers sequence, transcendental curves
Abraham de Moivre
1667-1754; French; development of analytic geometry, first statement of the formula for the normal distribution curve, probability theory
Colin MacLaurin
1698-1746; Scottish; gravitation attraction of ellipsoids, used Taylor series to characterize maxima, minima, and points of inflection, wrote Treatise of Fluxions
Niels Henrik Abel
1802-1829; Norwegian; Proved impossibility of solving quintic equations, group theory, abelian groups, abelian categories, abelian variety
Leonhard Euler
1707-1783; Swiss; Made important contributions in almost all fields and found unexpected links between different fields, proved numerous theorems, pioneered new methods, standardized mathematical notation and wrote many influential textbooks
Joseph Louis Lagrange
1736-1813; Italian/French; Comprehensive treatment of classical and celestial mechanics, calculus of variations, theorem of finite groups, four-square theorem, mean value theorem
Jean-Baptiste Joseph Fourier
1768-1830; French; Studied periodic functions and infinite sums in which the terms are trigonometric functions
Carl Friedrich Gauss
1777-1825; German; Pattern in occurrence of prime numbers, construction of heptadecagon, Fundamental Theorem of Algebra, exposition of complex numbers, least squares approximation method, non-Euclidean geometry
Adrien-Marie Legendre
1752-1833; French; Abstract algebra, mathematical analysis, least squares method for curve-fitting and linear regression, quadratic reciprocity law, prime number theorem, elliptic functions
Évariste Galois
1811-1832; French; Proved that there is no general algebraic method for solving polynomial equations of degree greater than four, laid groundwork for abstract algebra, group theory, ring theory, etc
George Boole
1815-1864; British; Devised algebra (using operators AND, OR and NOT), starting point of modern mathematical logic, led to the development of computer science
Pafnuty Chebyshev
1821-1894; Russian; Contributions in statistics, probability, mechanics and number theory; His inequality was used to prove the weak law of Large Numbers
Bernhard Riemann
1826-1866; German; Non-Euclidean elliptic geometry, differential geometry in multiple dimensions, complex manifold theory, zeta function, famous Hypothesis
James Clerk Maxwell
1831-1879; Scottish; developed differential equations in electromagnetism; studied optics and color vision; also kinetic theory of gases.
Henri Poincaré
1854-1912; French; Partial solution to “three body problem”, foundations of modern chaos theory, extended theory of mathematical topology, famous conjecture
David Hilbert
1862-1943; German; 23 “problems”, finiteness theorem, “Entscheidungsproblem“ (decision problem), developed modern axiomatic approach to mathematics, formalism
Felix Hausdorff
1868-1942; German; contributed in philosophy, poetry, and wrote essays. Theory of ordered sets prompted by continuum problem. In 1916, co-solved the continuum problem for borel sets.
Emmy Amalie Noether
1882-1935; German; theories of algebraic invariants and number fields, Wrote Theory of Ideals in Ring Domains, 1921, noncommutative algebras and hypercomplex numbers and theory of modules and ideals

Blaise Pascal

pioneer of probability theory; triangle of binomial coefficients