Mathematician:David Hilbert

One of the most influential mathematicians in the late 19th and early 20th century.

Most famous for the Hilbert 23, a list he delivered in 1900 of 23 problems which were at the time still unsolved.

Nationality
German.

History

 * Born: 23 Jan 1862, Königsberg, Prussia (now Kaliningrad, Russia)
 * Died: 14 Feb 1943, Göttingen, Germany

Theorems and Definitions

 * Einstein-Hilbert Action (with Albert Einstein)
 * Einstein-Hilbert Equations (with Albert Einstein)
 * Hilbert's Axioms
 * Hilbert Class Field
 * Hilbert C*-Module
 * Hilbert Cube
 * Hilbert Curve
 * Hilbert Inequality
 * Hilbert Matrix
 * Hilbert Metric
 * Hilbert Modular Form
 * Hilbert Number (Analysis)
 * Hilbert Number (Number Theory)
 * Hilbert Polynomial (or Hilbert Function)
 * Hilbert's Problems (a.k.a. The Hilbert 23)
 * Hilbert-Poincaré Series (with Henri Poincaré)
 * Hilbert Ring (also known as a Jacobson Ring)
 * Hilbert Sequence Space
 * Hilbert Space
 * Hilbert Spectrum
 * Hilbert Symbol
 * Hilbert Transform
 * Hilbert's Arithmetic of Ends
 * Hilbert's Basis Theorem
 * Hilbert's Constants
 * Hilbert's Irreducibility Theorem
 * Hilbert's Nullstellensatz
 * Hilbert's Paradox of the Grand Hotel
 * Hilbert's Theorem (Differential Geometry)
 * Hilbert's Theorem 90
 * Hilbert's Syzygy Theorem
 * Hilbert-Style Deduction System
 * Hilbert-Pólya Conjecture (with George Pólya)
 * Hilbert-Schmidt Operator (with Erhard Schmidt)
 * Hilbert-Smith Conjecture (with Paul Althaus Smith)
 * Hilbert-Speiser Theorem (with Andreas Speiser)
 * Hilbert-Waring Theorem (conjectured by Edward Waring in 1770, proved by Hilbert)
 * Riemann-Hilbert Problem (with Bernhard Riemann)

Books and Papers

 * 1894: Ein Beitrag zur Theorie des Legendreschen Polynoms (in which the Hilbert Matrix was introduced)
 * 1919 - 1920: Natur und mathematisches Erkennen: Vorlesungen, gehalten

Work in progress.