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  • During the critical movement initiated in the 1820s, mathematicians such as Bernard Bolzano, Niels Abel, Louis Cauchy and Karl Weierstrass succeeded in eliminating much of the vagueness and many of the contradictions present in the mathematical theories of their day.

    Principia Mathematica Irvine, A. D. 2003

  • Niels Abel and Karl Jacobi (1804–51) independently founded the theory of elliptic (doubly periodic) functions.

    1820 2001

  • Niels Abel (1802–29) proved that the general quintic cannot be solved by radicals.

    1820 2001

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