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David Hilbert (/ ˈ h ɪ l b ər t /; [3] German: [ˈdaːvɪt ˈhɪlbɐt]; 23 January 1862 – 14 February 1943) was a German mathematician and philosopher of mathematics and one of the most influential mathematicians of his time.
- Hilbert's Basis Theorem
In mathematics Hilbert's basis theorem asserts that every...
- Hilbert's Problems
Hilbert's problems are 23 problems in mathematics published...
- Einstein–Hilbert Action
The Einstein–Hilbert action in general relativity is the...
- General relativity priority dispute
David Hilbert invited Einstein to the University of...
- Hilbert's Basis Theorem
David Hilbert (* 23. Januar 1862 in Königsberg; † 14. Februar 1943 in Göttingen) war ein deutscher Mathematiker und Hochschullehrer. Er gilt als einer der bedeutendsten Mathematiker der Neuzeit. Viele seiner Arbeiten auf den verschiedenen Teilgebieten der Mathematik und mathematischen Physik begründeten eigenständige Forschungsgebiete ...
- The Göttingen School
- Axioms and Problems
- Physics
- Related Pages
- References
- Other Websites
In 1895 Hilbert became Chairman of Mathematics at the University of Göttingen, at that time the best research center for mathematics in the world. He remained for the rest of his life. Among his students were: Hermann Weyl, the champion of chess Emanuel Lasker, Ernst Zermelo, and Carl Gustav Hempel. John von Neumann was his assistant. At the Univer...
Hilbert's axioms
The text Grundlagen der Geometrie (Foundations of Geometry) was published by Hilbert in 1899. It proposed a formal set, Hilbert's axioms, instead of the traditional axioms of Euclid. They avoid weaknesses in those of Euclid, whose works at the time were still used textbmathematics is his 1900 presentation of a set of problemsthat set the course for much of the mathematical research of the 20th century. He put forward a number of unsolved problems at the International Congress of Mathematician...
Hilbert's program
In 1920 he proposed explicitly a research project in metamathematics, which became known as Hilbert's program. He wanted mathematicsto be formulated on a solid and complete logical foundation. He believed that in principle this could be done, by showing that: 1. All of mathematics follows from a correctly chosen finite system of axioms; and 2. That some such axiom system is provably consistent. He seems to have had both technical and philosophical reasons for formulating this proposal.
After 1912, Hilbert turned his focus to physics. At that time, he worked in general relativity and mathematical physics. His work in these fields is also important.
Hilbert's paradox of the Grand Hotel, a meditation on strange properties of the infinite, is often used in popular accounts of infinite cardinal numbers.
Ewald, William B. (ed) 1996. From Kant to Hilbert: a source book in the Foundations of Mathematics. 2 vols, Oxford.Jean van Heijenoort, 1967. From Frege to Godel: a source book in Mathematical Logic, 1879–1931. Harvard Univ. Press.David Hilbert; Cohn-Vossen S. 1999. Geometry and Imagination. American Mathematical Society. ISBN 0-8218-1998-4. An accessible set of lectures originally for the citizens of Göttingen.[David Hilbert] Michael Hallett and Ulrich Majer. eds. 2004. David Hilbert's Lectures on the foundations of Mathematics and Physics, 1891–1933. Springer-Verlag Berlin Heidelberg. ISBN 3-540-64373-7.Works by David Hilbert at Project GutenbergHilberts radio speech recorded in Königsberg 1930 (in German) Archived 2006-02-14 at the Wayback Machine, with English translation Archived 2020-11-12 at the Wayback MachineJan 23, 2012 · Quick Info. Born. 23 January 1862. Wehlau, near Königsberg, Prussia (now Kaliningrad, Russia) Died. 14 February 1943. Göttingen, Germany. Summary. Hilbert's work in geometry had the greatest influence in that area after Euclid.
Hilbert's problems are 23 problems in mathematics published by German mathematician David Hilbert in 1900. They were all unsolved at the time, and several proved to be very influential for 20th-century mathematics.
ProblemBrief ExplanationStatusYear SolvedThe continuum hypothesis (that is, there ...Proven to be impossible to prove or ...1940, 1963Prove that the axioms of arithmetic are ...There is no consensus on whether results ...1931, 1936Given any two polyhedra of equal volume, ...Resolved. Result: No, proved using Dehn ...1900Construct all metrics where lines are ...Too vague to be stated resolved or not.—David Hilbert ( 23 Januar 1862 – 14 Februar 1943) wis a German mathemateician born in Wehlau, bi Königsberg, Prussie (nou Znamensk, bi Kaliningrad, Roushie) that is kent as ane o the maist influential mathemateicians o the late 1800s an aerlie 1900s.
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David Hilbert invited Einstein to the University of Göttingen for a week to give six two-hour lectures on general relativity, which he did in June–July 1915. Einstein stayed at Hilbert's house during this visit.
