ProofWiki:Mathematicians/David Hilbert
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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.
Contents |
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 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)
- 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.
