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The Princeton Companion to Mathematics by Imre Leader, June Barrow-Green, Timothy Gowers

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VI.49 Georg Friedrich Bernhard Riemann

b. Breselenz, near Dannenberg, Germany, 1826;d. Selasca, Italy, 1866Real and complex analysis; differential equations;differential geometry heat distribution; number theory;propagation of shock waves; topology

Riemann was born into a poor pastor’s family and studied mathematics at Göttingen, eventually becoming a professor there. His health broke in 1862 and he died near Lake Maggiore, Italy, of pleurisy at the age of thirty-nine.

No mathematician is more associated with the mid-nineteenth-century transition from algorithmic to conceptual thought than Riemann. His doctoral thesis of 1851, and still more his paper on Abelian functions (1857), promoted the view that a HOLOMORPHIC FUNCTION [I.3 §5.6] is properly ...

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