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Augustin-Louis Cauchy

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Augustin Louis Cauchy was a French mathematician born in 1789, died in 1857.

  • He developed a test for convergence of an infinite series of numbers.
    • this test is that given a sequence pn,
      • the series (sumover) pn and (sumover) 2np2n either both diverge or both converge.
    • this is applicable to improper integrals, families of functions, and series by verifying that a Cauchy sequence is obtained, and then using the underlying metric space's completeness to show convergence.
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