3-Mathematics-History-Analysis

Madhava of Sangamagramma

He lived 1350 to 1425, founded Kerala School of mathematics, developed infinite series, and started mathematical analysis.

Cauchy A

He lived 1789 to 1857, used arithmetic concepts for mathematical analysis, and began complex-variable function theory [1814]. He invented Cauchy's principle, Cauchy convergence criterion, and Cauchy integral theorem. He studied method of characteristics, theory of content, and spaces. Separating first-order partial-differential-equation variables can make ordinary-differential-equation systems. First-order partial differential equation systems can describe elastic-media properties.

Bessel F

He lived 1784 to 1846 and invented Bessel equation [1817 to 1824] and Bessel's inequality.

Jacobi C

He lived 1804 to 1851 and studied elliptic integrals, function theory, and inverse elliptic functions {theta function, Jacobi}. He invented Jacobian.

Gudermann C

He lived 1798 to 1852 and worked with elliptic functions [1840 to 1841]. Elliptic functions are sums of converging power terms.

Hermite C

He lived 1822 to 1901 and invented Hermitean operators and Hermite functions [1858 to 1864].

Clebsch A

He lived 1833 to 1872 and studied genus of curves {Clebsch-Gordan coefficients}.

Gordan P

He lived 1837 to 1912.

Clifford W

He lived 1845 to 1879 and invented geometric product and Clifford algebras [1878]. He studied complex analysis. Addition does not necessarily combine two units of same kind but instead defines relations, as in complex numbers or hypernumbers. People have innate learning, which developed through evolution {evolutionary epistemology, Clifford}. Mind grows by evolution {creative evolution}.

Kowalewski S

She lived 1850 to 1891 and studied elliptic functions and power-series sums.

Banach S

He lived 1892 to 1945 and studied functional analysis, projection theorem, triangle inequality, and adjoints. He invented Banach spaces, Hahn-Banach theorem [1922], and Banach algebra.

Hahn H

He lived 1879 to 1934 and invented Hahn-Banach theorem [1922].

Sobolev S

He lived 1920 to 1990 and developed generalized-function spaces [1932].

Mises R

He lived 1883 to 1953 and developed measure theory [1941].

Schwartz L

He lived 1915 to 2002, developed distribution theory {theory of distributions}, and developed generalized-function theory, allowing discontinuous-function derivatives [1945 to 1950].

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Date Modified: 2022.0225