Science Library - free educational site

David Hilbert

1862 - 1943

David Hilbert, 1862 - 1943, German Mathematician

David Hilbert, 1862 - 1943, was German, and is considered one of the greatest mathematicians ever, leaving a broad legacy in mathematics, physics and philosophy.

  • Nationality
  • German

  • Subject
  • Mathematics

  • Fields
  • Invariant theory, axiomatization of geometry, Hilbert spaces, functional analysis, applications to Physics, philosophy

  • Distinctions
  • Lobachevsky Prize, 1903

    Bolyai Prize, 1910

    Foreign Member of the Royal Society

  • Posts
  • Senior lecturer, University of Königsberg, 1886 - 1895.

    Professor of Mathematics, University of Göttingen, which in his time became the leading mathematics institution of the world. Many of his 69 doctorate students became famous in their turn, including his assistant John Von Neumann, Hermann Weyl and Otto Blumenthal.

    Editor of Mathematische Annalen, 1902 - 1939, a high-profile journal.

  • Publications
  • Grundlagen der Geometrie, 1899, in which Hilbert proposes his formal set (aka Hilbert's axioms) to replace Euclid's axioms.

    A list of 23 unsolved problems at the International Congress of Mathematicians in Paris, 1900. This list had a great impact and influence on mathematical thinking in the 20th century, and some continue to intrigue and puzzle.

    Principles of Mathematical Logic, 1928, co-authored with Wilhelm Ackermann.

    Grundlagen der Mathematik, two volumes (1934 and 1939), co-authored with Paul Bernays.

    The Foundations of Physics, 1915, an axiomatic derivation of he field equations of General Relativity.

  • Laws
  • Hilbert's axioms

  • Theories
  • Hilbert's basis theorem

    Hilbert's problems

    Hilbert's program

    Einstein-Hilbert action

    Hilbert space

  • Experiments/Discoveries
  • Hilbert's problem set was instrumental in the establishment and development of the formalist school.

He developed important tools, and was instrumental in developing the field of mathematical physics. He was a founder of proof theory, mathematical logic, and metamathematics.

David Hilbert, 1862 - 1943, German Mathematician
David Hilbert, 1862 - 1943, German Mathematician

Although primarily known as a mathematician, Hilbert made significant contributions to physics. There is evidence that Hilbert produced a General Relativity theory of his own, and influenced Albert Einstein greatly. Hilbert graciously made no claim to the theory. Hilbert also made contributions to quantum mechanics, and influenced Weyl and von Neumann in their work on Heisenberg's matrix mechanics, and Schrödinger's wave equation. Hilbert space






Latest Item on Science Library:

The most recent article is:

Air Resistance and Terminal Velocity

View this item in the topic:

Mechanics

and many more articles in the subject:

Subject of the Week

Environment

Environmental Science is the most important of all sciences. As the world enters a phase of climate change, unprecedented biodiversity loss, pollution and human population growth, the management of our environment is vital for our futures. Learn about Environmental Science on ScienceLibrary.info.

Environmental Science

Great Scientists

Carl Linnaeus

1707 - 1778

Carl Linnaeus was a prolific writer, publishing books, lavishly illustrated, throughout his life. Through his travels, studies and collections, he developed a system of taxonomic nomenclature which is the basis of the modern system.

Carolus Linnaeus
ContentWizard.ch

Quote of the day...

The next morning began with a brief series of howl screeches, acoustically representing the dying moments of the entrance gate hinges. Considering the gate was not even closed, let alone locked, it would be safe to say whoever they were, these were not your run of the mill guests. Not that I am suggesting guests should be allowed to run the mill.

ZumGuy Internet Promotions

Yoga in Mendrisio