Mathematician:David Hilbert

Mathematician
One of the most influential mathematicians in the late $19$th and early $20$th 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

 * Hilbert's Axioms
 * Hilbert Class Field
 * Hilbert C*-Module
 * Hilbert Cube
 * Hilbert Curve
 * Hilbert's Invariant Integral
 * Hilbert Matrix
 * Hilbert Metric
 * Hilbert Modular Form
 * Hilbert Number (Analysis)
 * Hilbert Number (Number Theory)
 * Hilbert Polynomial (or Hilbert Function)
 * Hilbert's Problems (also known as The Hilbert $23$)
 * Hilbert's Program
 * Hilbert Ring (also known as a Jacobson Ring)


 * Hilbert Sequence Space
 * Hilbert Space
 * Hilbert Spectrum
 * Hilbert Symbol


 * Hilbert-Poincaré Series (with )
 * Hilbert-Schmidt Norm (with )
 * Hilbert-Schmidt Operator (with )


 * Hilbert Inequality
 * Hilbert Transform
 * Hilbert's Arithmetic of Ends
 * Hilbert's Basis Theorem
 * Hilbert's Basis Theorem for Finitely Generated Algebras
 * 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


 * Einstein-Hilbert Action (with )
 * Einstein-Hilbert Equations (with )
 * Hilbert-Pólya Conjecture (with )
 * Hilbert-Smith Conjecture (with )
 * Hilbert-Speiser Theorem (with )
 * Hilbert-Waring Theorem (conjectured by in $1770$, proved by )
 * Riemann-Hilbert Problem (with )

Publications

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

Work in progress.

Notable Quotes

 * The infinite! No other question has ever moved so profoundly the spirit of man. (1921)
 * -- Quoted in : They Say: What Say They? : Let Them Say


 * Aus dem Paradies, das Cantor uns geschaffen, soll uns niemand vertrieben können.
 * (No one can chase us out of the paradise that Cantor has created for us.)
 * -- Quoted:
 * in preface to
 * in introduction to