David Hilbert, ForMemRS ( ; January 23, 1862 – February 14, 1943) was a German mathematician. He is recognized as one of the most influential and universal mathematicians of the 19th and early 20th centuries. Hilbert discovered and developed a broad range of fundamental ideas in many areas, including invariant theory and the axiomatization of geometry. He also formulated the theory of Hilbert spaces, one of the foundations of functional analysis.
Hilbert adopted and warmly defended Georg Cantor's set theory and transfinite numbers. A famous example of his leadership in mathematics is his 1900 presentation of a collection of problems that set the course for much of the mathematical research of the 20th century.
Hilbert and his students contributed significantly to establishing rigor and developed important tools used in modern mathematical physics. Hilbert is known as one of the founders of proof theory and mathematical logic, as well as for being among the first to distinguish between mathematics and metamathematics.
Read more about David Hilbert: Life, Hilbert Solves Gordan's Problem, Axiomatization of Geometry, The 23 Problems, Formalism, Functional Analysis, Physics, Number Theory, Miscellaneous Talks, Essays, and Contributions, Quotes
Other articles related to "david hilbert, hilbert":
... was Paul Peter Ewald, a doctoral student of Arnold Sommerfeld on loan to David Hilbert at Göttingen as a special assistant for physics ... algebra from Rosanes, as already noted, but Born had also learned Hilbert’s theory of integral equations and quadratic forms for an infinite number of variables as ... at Göttingen in the preparation of Courant and David Hilbert’s book Methoden der mathematischen Physik I, which was published in 1924 ...
... The achievements of David Hilbert were now considered ... In addition to Hilbert's problems, Hilbert space, Hilbert Classification and the Hilbert Inequality, du Sautoy highlights Hilbert's early work on equations as ... Hilbert showed that, while there were an infinity of equations, these equations could be constructed from a finite number of building block like sets ...
... Year Contributors Event 1890 David Hilbert Resolution of modules and free resolution of modules. 1890 David Hilbert Hilbert's syzygy theorem is a prototype for a concept of dimension in homological algebra. 1893 David Hilbert A fundamental theorem in algebraic geometry, the Hilbert Nullstellensatz ...
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