Mathematician:Georg Friedrich Bernhard Riemann

Most famous for the Riemann Hypothesis, which is (at time of writing, early 21st century) one of the most highly sought-after results in mathematics.

Nationality
German

History

 * Born: 17 Sept 1826, Breselenz, Hanover (now Germany)
 * Died: 20 July 1866, Selasca, Italy

Theorems and Definitions

 * Riemann Sum
 * Riemann Surface
 * Riemann Sphere
 * Riemannian Manifold
 * Riemannian Metric
 * Riemann Removable Singularities Theorem
 * Riemann-Lebesgue Lemma (with Henri Léon Lebesgue)
 * Cauchy-Riemann Equations (with Augustin Louis Cauchy)
 * Riemann Uniformization Theorem
 * Riemann Zeta Function
 * Riemann Hypothesis
 * Riemann-Hilbert Problem (with David Hilbert)
 * Zariski-Riemann Surface (with Oscar Zariski)
 * Riemann-Hurwitz Formula (with Adolf Hurwitz)
 * Riemann-Roch Theorem (with Gustav Roch)
 * Hirzebruch-Riemann-Roch Theorem (with Friedrich Hirzebruch and Gustav Roch)
 * Grothendieck-Hirzebruch-Riemann-Roch Theorem (with Alexander Grothendieck, Friedrich Hirzebruch and Gustav Roch)
 * Riemann-von Mangoldt Formula (with Hans Carl Friedrich von Mangoldt)

Books and Papers

 * 1868: On the hypotheses which lie at the foundation of geometry
 * 1925: Die Differential- und Integralgleichungen der Mechanik und Physik, 1925 (with Philipp Frank, Richard von Mises and Heinrich Weber) (2nd Edition: 1943)

Also see

 * : Chapter $\text{XXVI}$
 * : Chapter $\text {A}.31$