Faster access than browser!
218 relations: A priori and a posteriori, Adolf Hurwitz, Agnosticism, Alan Turing, Albert Einstein, Alfréd Haar, Algebraic number theory, Alonzo Church, Analytic number theory, Andreas Speiser, Angle, Arnold Sommerfeld, Arthur Moritz Schoenflies, Axiom, Axiomatic system, Banach space, Bernays, Bernhard Rust, Bibliothèque nationale de France, Biographical Memoirs of Fellows of the Royal Society, Black Holes and Time Warps, Bolyai Prize, Brouwer–Hilbert controversy, Calvinism, Carl Gustav Hempel, Christian Goldbach, Class field theory, Comptes rendus de l'Académie des Sciences, Computability theory, Congruence (geometry), Constructive proof, Constructivism (mathematics), Continuum hypothesis, Doctor of Philosophy, Earle Raymond Hedrick, Edmund Landau, Edward Kasner, Einstein field equations, Einstein–Hilbert action, Elementary proof, Elsevier, Emanuel Lasker, Emil du Bois-Reymond, Emmy Noether, Epsilon calculus, Erhard Schmidt, Erich Hecke, Ernst Hellinger, Ernst Kötter, Ernst Zermelo, ..., Erwin Schrödinger, Euclid, Euclid's Elements, Euclidean geometry, Euclidean space, Eugene Wigner, Felix Bernstein (mathematician), Felix Klein, Fellow of the Royal Society, Ferdinand von Lindemann, Finitary, Formalism (philosophy of mathematics), Foundations of geometry, Functional analysis, Gabriel Sudan, Gödel's incompleteness theorems, Göttingen, General relativity, Geometry and the Imagination, Georg Cantor, George Ballard Mathews, Georges Giraud, Germany, Gian-Carlo Rota, Giuseppe Peano, Gresham College, Grundlagen der Mathematik, Gymnasium (school), Hans Hahn (mathematician), Haskell Curry, Heinrich Behmann, Hellmuth Kneser, Helmut Hasse, Hermann Minkowski, Hermann Weyl, Hilbert C*-module, Hilbert class field, Hilbert cube, Hilbert curve, Hilbert matrix, Hilbert metric, Hilbert modular form, Hilbert number, Hilbert series and Hilbert polynomial, Hilbert space, Hilbert spectrum, Hilbert symbol, Hilbert system, Hilbert transform, Hilbert's arithmetic of ends, Hilbert's axioms, Hilbert's basis theorem, Hilbert's irreducibility theorem, Hilbert's Nullstellensatz, Hilbert's problems, Hilbert's program, Hilbert's syzygy theorem, Hilbert's theorem (differential geometry), Hilbert's Theorem 90, Hilbert's twenty-fourth problem, Hilbert–Burch theorem, Hilbert–Mumford criterion, Hilbert–Pólya conjecture, Hilbert–Poincaré series, Hilbert–Schmidt operator, Hilbert–Smith conjecture, Hilbert–Speiser theorem, Homogeneous polynomial, Hugo Steinhaus, Ignoramus et ignorabimus, Immanuel Kant, Integral equation, International Congress of Mathematicians, Intuitionism, Invariant of a binary form, Invariant theory, Ivor Grattan-Guinness, Jacobson ring, Jagdish Mehra, Jean van Heijenoort, Jeremy Gray, John von Neumann, John Wiley & Sons, Kaliningrad, Königsberg, Kinetic theory of gases, Kingdom of Prussia, Kip Thorne, Klara Löbenstein, Kurt Gödel, Kurt Grelling, Kurt Schütte, L. E. J. Brouwer, Law for the Restoration of the Professional Civil Service, Law of excluded middle, Leopold Kronecker, Line (geometry), Line segment, List of things named after David Hilbert, Lobachevsky Prize, Local class field theory, Margarete Kahn, Mathematical formulation of quantum mechanics, Mathematical logic, Mathematician, Mathematics, Mathematische Annalen, Matrix mechanics, Max Born, Max Dehn, Max Mason, Metamathematics, Methoden der mathematischen Physik, Moritz Pasch, Nature (journal), Nazi Germany, Nicolas Bourbaki, Non-Euclidean geometry, Notices of the American Mathematical Society, Olga Taussky-Todd, Oliver Dimon Kellogg, Otto Blumenthal, Paris, Paul Bernays, Paul Funk, Paul Gordan, Peano axioms, Philosophy, Philosophy of mathematics, Physics, Piergiorgio Odifreddi, Pierre de Fermat, Pieter Zeeman, Plane (geometry), Point (geometry), Principles of Mathematical Logic, Professor, Proof theory, Province of Prussia, Prussian Union of Churches, Radiation, Random House Webster's Unabridged Dictionary, Relativity priority dispute, Richard Courant, Robert König, Robert Lee Moore, Rudolf Fueter, Russia, Schrödinger equation, Solid geometry, Spectral theory, Springer Science+Business Media, Stefan Banach, Teiji Takagi, Theorem, Theoretical computer science, Transfinite number, University of Göttingen, University of Königsberg, Vitamin B12 deficiency anemia, Wallie Abraham Hurwitz, Walter de Gruyter, Waring's problem, Werner Boy, Werner Heisenberg, Wilhelm Ackermann, Zahlbericht, Znamensk, Kaliningrad Oblast. Expand index (168 more) »
A priori and a posteriori
The Latin phrases a priori ("from the earlier") and a posteriori ("from the latter") are philosophical terms of art popularized by Immanuel Kant's Critique of Pure Reason (first published in 1781, second edition in 1787), one of the most influential works in the history of philosophy.
New!!: David Hilbert and A priori and a posteriori · See more »
Adolf Hurwitz
Adolf Hurwitz (26 March 1859 – 18 November 1919) was a German mathematician who worked on algebra, analysis, geometry and number theory.
New!!: David Hilbert and Adolf Hurwitz · See more »
Agnosticism
Agnosticism is the view that the existence of God, of the divine or the supernatural is unknown or unknowable.
New!!: David Hilbert and Agnosticism · See more »
Alan Turing
Alan Mathison Turing (23 June 1912 – 7 June 1954) was an English computer scientist, mathematician, logician, cryptanalyst, philosopher, and theoretical biologist.
New!!: David Hilbert and Alan Turing · See more »
Albert Einstein
Albert Einstein (14 March 1879 – 18 April 1955) was a German-born theoretical physicist who developed the theory of relativity, one of the two pillars of modern physics (alongside quantum mechanics).
New!!: David Hilbert and Albert Einstein · See more »
Alfréd Haar
Alfréd Haar (Haar Alfréd; 11 October 1885, Budapest – 16 March 1933, Szeged) was a Hungarian mathematician.
New!!: David Hilbert and Alfréd Haar · See more »
Algebraic number theory
Algebraic number theory is a branch of number theory that uses the techniques of abstract algebra to study the integers, rational numbers, and their generalizations.
New!!: David Hilbert and Algebraic number theory · See more »
Alonzo Church
Alonzo Church (June 14, 1903 – August 11, 1995) was an American mathematician and logician who made major contributions to mathematical logic and the foundations of theoretical computer science.
New!!: David Hilbert and Alonzo Church · See more »
Analytic number theory
In mathematics, analytic number theory is a branch of number theory that uses methods from mathematical analysis to solve problems about the integers.
New!!: David Hilbert and Analytic number theory · See more »
Andreas Speiser
Andreas Speiser (June 10, 1885 – October 12, 1970) was a Swiss Mathematician and Philosopher of science.
New!!: David Hilbert and Andreas Speiser · See more »
Angle
In plane geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.
New!!: David Hilbert and Angle · See more »
Arnold Sommerfeld
Arnold Johannes Wilhelm Sommerfeld, (5 December 1868 – 26 April 1951) was a German theoretical physicist who pioneered developments in atomic and quantum physics, and also educated and mentored a large number of students for the new era of theoretical physics.
New!!: David Hilbert and Arnold Sommerfeld · See more »
Arthur Moritz Schoenflies
Arthur Moritz Schoenflies (17 April 1853 – 27 May 1928), sometimes written as Schönflies, was a German mathematician, known for his contributions to the application of group theory to crystallography, and for work in topology.
New!!: David Hilbert and Arthur Moritz Schoenflies · See more »
Axiom
An axiom or postulate is a statement that is taken to be true, to serve as a premise or starting point for further reasoning and arguments.
New!!: David Hilbert and Axiom · See more »
Axiomatic system
In mathematics, an axiomatic system is any set of axioms from which some or all axioms can be used in conjunction to logically derive theorems.
New!!: David Hilbert and Axiomatic system · See more »
Banach space
In mathematics, more specifically in functional analysis, a Banach space (pronounced) is a complete normed vector space.
New!!: David Hilbert and Banach space · See more »
Bernays
Bernays is a surname.
New!!: David Hilbert and Bernays · See more »
Bernhard Rust
Bernhard Rust (30 September 1883 – 8 May 1945) was Minister of Science, Education and National Culture (Reichserziehungsminister) in Nazi Germany.
New!!: David Hilbert and Bernhard Rust · See more »
Bibliothèque nationale de France
The (BnF, English: National Library of France) is the national library of France, located in Paris.
New!!: David Hilbert and Bibliothèque nationale de France · See more »
Biographical Memoirs of Fellows of the Royal Society
The Biographical Memoirs of Fellows of the Royal Society is an academic journal on the history of science published annually by the Royal Society.
New!!: David Hilbert and Biographical Memoirs of Fellows of the Royal Society · See more »
Black Holes and Time Warps
Black Holes & Time Warps: Einstein's Outrageous Legacy is a 1994 popular science book by physicist Kip Thorne.
New!!: David Hilbert and Black Holes and Time Warps · See more »
Bolyai Prize
The International János Bolyai Prize of Mathematics is an international prize for mathematicians founded by the Hungarian Academy of Sciences.
New!!: David Hilbert and Bolyai Prize · See more »
Brouwer–Hilbert controversy
In a foundational controversy in twentieth-century mathematics, L. E. J. Brouwer, a supporter of intuitionism, opposed David Hilbert, the founder of formalism.
New!!: David Hilbert and Brouwer–Hilbert controversy · See more »
Calvinism
Calvinism (also called the Reformed tradition, Reformed Christianity, Reformed Protestantism, or the Reformed faith) is a major branch of Protestantism that follows the theological tradition and forms of Christian practice of John Calvin and other Reformation-era theologians.
New!!: David Hilbert and Calvinism · See more »
Carl Gustav Hempel
Carl Gustav "Peter" Hempel (January 8, 1905 – November 9, 1997) was a German writer and philosopher.
New!!: David Hilbert and Carl Gustav Hempel · See more »
Christian Goldbach
Christian Goldbach (March 18, 1690 – November 20, 1764) was a German mathematician who also studied law.
New!!: David Hilbert and Christian Goldbach · See more »
Class field theory
In mathematics, class field theory is a major branch of algebraic number theory that studies abelian extensions of local fields (one-dimensional local fields) and "global fields" (one-dimensional global fields) such as number fields and function fields of curves over finite fields in terms of abelian topological groups associated to the fields.
New!!: David Hilbert and Class field theory · See more »
Comptes rendus de l'Académie des Sciences
Comptes rendus de l'Académie des Sciences (English: Proceedings of the Academy of sciences), or simply Comptes rendus, is a French scientific journal which has been published since 1666.
New!!: David Hilbert and Comptes rendus de l'Académie des Sciences · See more »
Computability theory
Computability theory, also known as recursion theory, is a branch of mathematical logic, of computer science, and of the theory of computation that originated in the 1930s with the study of computable functions and Turing degrees.
New!!: David Hilbert and Computability theory · See more »
Congruence (geometry)
In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.
New!!: David Hilbert and Congruence (geometry) · See more »
Constructive proof
In mathematics, a constructive proof is a method of proof that demonstrates the existence of a mathematical object by creating or providing a method for creating the object.
New!!: David Hilbert and Constructive proof · See more »
Constructivism (mathematics)
In the philosophy of mathematics, constructivism asserts that it is necessary to find (or "construct") a mathematical object to prove that it exists.
New!!: David Hilbert and Constructivism (mathematics) · See more »
Continuum hypothesis
In mathematics, the continuum hypothesis (abbreviated CH) is a hypothesis about the possible sizes of infinite sets.
New!!: David Hilbert and Continuum hypothesis · See more »
Doctor of Philosophy
A Doctor of Philosophy (PhD or Ph.D.; Latin Philosophiae doctor) is the highest academic degree awarded by universities in most countries.
New!!: David Hilbert and Doctor of Philosophy · See more »
Earle Raymond Hedrick
Earle Raymond Hedrick (September 27, 1876 – February 3, 1943), was an American mathematician and a vice-president of the University of California.
New!!: David Hilbert and Earle Raymond Hedrick · See more »
Edmund Landau
Edmund Georg Hermann Landau (14 February 1877 – 19 February 1938) was a German mathematician who worked in the fields of number theory and complex analysis.
New!!: David Hilbert and Edmund Landau · See more »
Edward Kasner
Edward Kasner (April 2, 1878 – January 7, 1955) was a prominent American mathematician who was appointed Tutor on Mathematics in the Columbia University Mathematics Department.
New!!: David Hilbert and Edward Kasner · See more »
Einstein field equations
The Einstein field equations (EFE; also known as Einstein's equations) comprise the set of 10 equations in Albert Einstein's general theory of relativity that describe the fundamental interaction of gravitation as a result of spacetime being curved by mass and energy.
New!!: David Hilbert and Einstein field equations · See more »
Einstein–Hilbert action
The Einstein–Hilbert action (also referred to as Hilbert action) in general relativity is the action that yields the Einstein field equations through the principle of least action.
New!!: David Hilbert and Einstein–Hilbert action · See more »
Elementary proof
In mathematics, an elementary proof is a mathematical proof that only uses basic techniques.
New!!: David Hilbert and Elementary proof · See more »
Elsevier
Elsevier is an information and analytics company and one of the world's major providers of scientific, technical, and medical information.
New!!: David Hilbert and Elsevier · See more »
Emanuel Lasker
Emanuel Lasker (December 24, 1868 – January 11, 1941) was a German chess player, mathematician, and philosopher who was World Chess Champion for 27 years (from 1894 to 1921).
New!!: David Hilbert and Emanuel Lasker · See more »
Emil du Bois-Reymond
Prof.
New!!: David Hilbert and Emil du Bois-Reymond · See more »
Emmy Noether
Amalie Emmy NoetherEmmy is the Rufname, the second of two official given names, intended for daily use.
New!!: David Hilbert and Emmy Noether · See more »
Epsilon calculus
Hilbert's epsilon calculus is an extension of a formal language by the epsilon operator, where the epsilon operator substitutes for quantifiers in that language as a method leading to a proof of consistency for the extended formal language.
New!!: David Hilbert and Epsilon calculus · See more »
Erhard Schmidt
Erhard Schmidt (13 January 1876 – 6 December 1959) was a Baltic German mathematician whose work significantly influenced the direction of mathematics in the twentieth century.
New!!: David Hilbert and Erhard Schmidt · See more »
Erich Hecke
Erich Hecke (20 September 1887 – 13 February 1947) was a German mathematician.
New!!: David Hilbert and Erich Hecke · See more »
Ernst Hellinger
Ernst David Hellinger (September 30, 1883 – March 28, 1950) was a German mathematician.
New!!: David Hilbert and Ernst Hellinger · See more »
Ernst Kötter
Ernst Kötter was a German mathematician who graduated in 1884 from Berlin University.
New!!: David Hilbert and Ernst Kötter · See more »
Ernst Zermelo
Ernst Friedrich Ferdinand Zermelo (27 July 1871 – 21 May 1953) was a German logician and mathematician, whose work has major implications for the foundations of mathematics.
New!!: David Hilbert and Ernst Zermelo · See more »
Erwin Schrödinger
Erwin Rudolf Josef Alexander Schrödinger (12 August 1887 – 4 January 1961), sometimes written as or, was a Nobel Prize-winning Austrian physicist who developed a number of fundamental results in the field of quantum theory, which formed the basis of wave mechanics: he formulated the wave equation (stationary and time-dependent Schrödinger equation) and revealed the identity of his development of the formalism and matrix mechanics.
New!!: David Hilbert and Erwin Schrödinger · See more »
Euclid
Euclid (Εὐκλείδης Eukleidēs; fl. 300 BC), sometimes given the name Euclid of Alexandria to distinguish him from Euclides of Megara, was a Greek mathematician, often referred to as the "founder of geometry" or the "father of geometry".
New!!: David Hilbert and Euclid · See more »
Euclid's Elements
The Elements (Στοιχεῖα Stoicheia) is a mathematical treatise consisting of 13 books attributed to the ancient Greek mathematician Euclid in Alexandria, Ptolemaic Egypt c. 300 BC.
New!!: David Hilbert and Euclid's Elements · See more »
Euclidean geometry
Euclidean geometry is a mathematical system attributed to Alexandrian Greek mathematician Euclid, which he described in his textbook on geometry: the Elements.
New!!: David Hilbert and Euclidean geometry · See more »
Euclidean space
In geometry, Euclidean space encompasses the two-dimensional Euclidean plane, the three-dimensional space of Euclidean geometry, and certain other spaces.
New!!: David Hilbert and Euclidean space · See more »
Eugene Wigner
Eugene Paul "E.
New!!: David Hilbert and Eugene Wigner · See more »
Felix Bernstein (mathematician)
Felix Bernstein (24 February 1878 in Halle, Germany – 3 December 1956 in Zurich, Switzerland), was a German Jewish mathematician known for proving the Schröder–Bernstein theorem central in set theory in 1896,In 1897 (aged 19), according to and less well known for demonstrating the correct blood group inheritance pattern of multiple alleles at one locus in 1924 through statistical analysis.
New!!: David Hilbert and Felix Bernstein (mathematician) · See more »
Felix Klein
Christian Felix Klein (25 April 1849 – 22 June 1925) was a German mathematician and mathematics educator, known for his work with group theory, complex analysis, non-Euclidean geometry, and on the associations between geometry and group theory.
New!!: David Hilbert and Felix Klein · See more »
Fellow of the Royal Society
Fellowship of the Royal Society (FRS, ForMemRS and HonFRS) is an award granted to individuals that the Royal Society judges to have made a "substantial contribution to the improvement of natural knowledge, including mathematics, engineering science and medical science".
New!!: David Hilbert and Fellow of the Royal Society · See more »
Ferdinand von Lindemann
Carl Louis Ferdinand von Lindemann (April 12, 1852 – March 6, 1939) was a German mathematician, noted for his proof, published in 1882, that pi (pi) is a transcendental number, meaning it is not a root of any polynomial with rational coefficients.
New!!: David Hilbert and Ferdinand von Lindemann · See more »
Finitary
In mathematics or logic, a finitary operation is an operation of finite arity, that is an operation that takes a finite number of input values.
New!!: David Hilbert and Finitary · See more »
Formalism (philosophy of mathematics)
In foundations of mathematics, philosophy of mathematics, and philosophy of logic, formalism is a theory that holds that statements of mathematics and logic can be considered to be statements about the consequences of certain string manipulation rules.
New!!: David Hilbert and Formalism (philosophy of mathematics) · See more »
Foundations of geometry
Foundations of geometry is the study of geometries as axiomatic systems.
New!!: David Hilbert and Foundations of geometry · See more »
Functional analysis
Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure (e.g. inner product, norm, topology, etc.) and the linear functions defined on these spaces and respecting these structures in a suitable sense.
New!!: David Hilbert and Functional analysis · See more »
Gabriel Sudan
Gabriel Sudan (April 14, 1899 – June 22, 1977) was a Romanian mathematician, known for the Sudan function (1927), an important example in the theory of computation, similar to the Ackermann function (1928).
New!!: David Hilbert and Gabriel Sudan · See more »
Gödel's incompleteness theorems
Gödel's incompleteness theorems are two theorems of mathematical logic that demonstrate the inherent limitations of every formal axiomatic system containing basic arithmetic.
New!!: David Hilbert and Gödel's incompleteness theorems · See more »
Göttingen
Göttingen (Low German: Chöttingen) is a university city in Lower Saxony, Germany.
New!!: David Hilbert and Göttingen · See more »
General relativity
General relativity (GR, also known as the general theory of relativity or GTR) is the geometric theory of gravitation published by Albert Einstein in 1915 and the current description of gravitation in modern physics.
New!!: David Hilbert and General relativity · See more »
Geometry and the Imagination
Geometry and the Imagination (Anschauliche Geometrie) is a book by David Hilbert and Stephan Cohn-Vossen based on a series of lectures Hilbert made in the winter of 1920–21.
New!!: David Hilbert and Geometry and the Imagination · See more »
Georg Cantor
Georg Ferdinand Ludwig Philipp Cantor (– January 6, 1918) was a German mathematician.
New!!: David Hilbert and Georg Cantor · See more »
George Ballard Mathews
George Ballard Mathews, FRS (23 February 1861 — 19 March 1922) was an English mathematician.
New!!: David Hilbert and George Ballard Mathews · See more »
Georges Giraud
Georges Julien Giraud (22 July 1889 – 16 March 1943) was a French mathematician, working in potential theory, partial differential equations, singular integrals and singular integral equations: he is mainly known for his solution of the regular oblique derivative problem and also for his extension to ''n''–dimensional singular integral equations of the concept of symbol of a singular integral, previously introduced by Solomon Mikhlin.
New!!: David Hilbert and Georges Giraud · See more »
Germany
Germany (Deutschland), officially the Federal Republic of Germany (Bundesrepublik Deutschland), is a sovereign state in central-western Europe.
New!!: David Hilbert and Germany · See more »
Gian-Carlo Rota
Gian-Carlo Rota (April 27, 1932 – April 18, 1999) was an Italian-born American mathematician and philosopher.
New!!: David Hilbert and Gian-Carlo Rota · See more »
Giuseppe Peano
Giuseppe Peano (27 August 1858 – 20 April 1932) was an Italian mathematician and glottologist.
New!!: David Hilbert and Giuseppe Peano · See more »
Gresham College
Gresham College is an institution of higher learning located at Barnard's Inn Hall off Holborn in Central London, England.
New!!: David Hilbert and Gresham College · See more »
Grundlagen der Mathematik
Grundlagen der Mathematik (English: Foundations of Mathematics) is a two-volume work by David Hilbert and Paul Bernays.
New!!: David Hilbert and Grundlagen der Mathematik · See more »
Gymnasium (school)
A gymnasium is a type of school with a strong emphasis on academic learning, and providing advanced secondary education in some parts of Europe comparable to British grammar schools, sixth form colleges and US preparatory high schools.
New!!: David Hilbert and Gymnasium (school) · See more »
Hans Hahn (mathematician)
Hans Hahn (27 September 1879 – 24 July 1934) was an Austrian mathematician who made contributions to functional analysis, topology, set theory, the calculus of variations, real analysis, and order theory.
New!!: David Hilbert and Hans Hahn (mathematician) · See more »
Haskell Curry
Haskell Brooks Curry (September 12, 1900 – September 1, 1982) was an American mathematician and logician.
New!!: David Hilbert and Haskell Curry · See more »
Heinrich Behmann
Heinrich Behmann (10 January 1891, in Bremen-Aumund – 3 February 1970, in Bremen-Aumund) was a German mathematician.
New!!: David Hilbert and Heinrich Behmann · See more »
Hellmuth Kneser
Hellmuth Kneser (16 April 1898 – 23 August 1973) was a Baltic German mathematician, who made notable contributions to group theory and topology.
New!!: David Hilbert and Hellmuth Kneser · See more »
Helmut Hasse
Helmut Hasse (25 August 1898 – 26 December 1979) was a German mathematician working in algebraic number theory, known for fundamental contributions to class field theory, the application of p-adic numbers to local class field theory and diophantine geometry (Hasse principle), and to local zeta functions.
New!!: David Hilbert and Helmut Hasse · See more »
Hermann Minkowski
Hermann Minkowski (22 June 1864 – 12 January 1909) was a German mathematician and professor at Königsberg, Zürich and Göttingen.
New!!: David Hilbert and Hermann Minkowski · See more »
Hermann Weyl
Hermann Klaus Hugo Weyl, (9 November 1885 – 8 December 1955) was a German mathematician, theoretical physicist and philosopher.
New!!: David Hilbert and Hermann Weyl · See more »
Hilbert C*-module
Hilbert C*-modules are mathematical objects which generalise the notion of a Hilbert space (which itself is a generalisation of Euclidean space), in that they endow a linear space with an "inner product" which takes values in a C*-algebra.
New!!: David Hilbert and Hilbert C*-module · See more »
Hilbert class field
In algebraic number theory, the Hilbert class field E of a number field K is the maximal abelian unramified extension of K. Its degree over K equals the class number of K and the Galois group of E over K is canonically isomorphic to the ideal class group of K using Frobenius elements for prime ideals in K. In this context, the Hilbert class field of K is not just unramified at the finite places (the classical ideal theoretic interpretation) but also at the infinite places of K. That is, every real embedding of K extends to a real embedding of E (rather than to a complex embedding of E).
New!!: David Hilbert and Hilbert class field · See more »
Hilbert cube
In mathematics, the Hilbert cube, named after David Hilbert, is a topological space that provides an instructive example of some ideas in topology.
New!!: David Hilbert and Hilbert cube · See more »
Hilbert curve
A Hilbert curve (also known as a Hilbert space-filling curve) is a continuous fractal space-filling curve first described by the German mathematician David Hilbert in 1891, as a variant of the space-filling Peano curves discovered by Giuseppe Peano in 1890.
New!!: David Hilbert and Hilbert curve · See more »
Hilbert matrix
In linear algebra, a Hilbert matrix, introduced by, is a square matrix with entries being the unit fractions For example, this is the 5 × 5 Hilbert matrix: 1 & \frac & \frac & \frac & \frac \\ \frac & \frac & \frac & \frac & \frac \\ \frac & \frac & \frac & \frac & \frac \\ \frac & \frac & \frac & \frac & \frac \\ \frac & \frac & \frac & \frac & \frac \end.
New!!: David Hilbert and Hilbert matrix · See more »
Hilbert metric
In mathematics, the Hilbert metric, also known as the Hilbert projective metric, is an explicitly defined distance function on a bounded convex subset of the n-dimensional Euclidean space Rn.
New!!: David Hilbert and Hilbert metric · See more »
Hilbert modular form
In mathematics, a Hilbert modular form is a generalization of modular forms to functions of two or more variables.
New!!: David Hilbert and Hilbert modular form · See more »
Hilbert number
In number theory, a Hilbert number is defined as a positive integer of the form 4n + 1.
New!!: David Hilbert and Hilbert number · See more »
Hilbert series and Hilbert polynomial
In commutative algebra, the Hilbert function, the Hilbert polynomial, and the Hilbert series of a graded commutative algebra finitely generated over a field are three strongly related notions which measure the growth of the dimension of the homogeneous components of the algebra.
New!!: David Hilbert and Hilbert series and Hilbert polynomial · See more »
Hilbert space
The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space.
New!!: David Hilbert and Hilbert space · See more »
Hilbert spectrum
The Hilbert spectrum (sometimes referred to as the Hilbert amplitude spectrum), named after David Hilbert, is a statistical tool that can help in distinguishing among a mixture of moving signals.
New!!: David Hilbert and Hilbert spectrum · See more »
Hilbert symbol
In mathematics, the Hilbert symbol or norm-residue symbol is a function (–, –) from K× × K× to the group of nth roots of unity in a local field K such as the fields of reals or p-adic numbers.
New!!: David Hilbert and Hilbert symbol · See more »
Hilbert system
In logic, especially mathematical logic, a Hilbert system, sometimes called Hilbert calculus, Hilbert-style deductive system or Hilbert–Ackermann system, is a type of system of formal deduction attributed to Gottlob FregeMáté & Ruzsa 1997:129 and David Hilbert.
New!!: David Hilbert and Hilbert system · See more »
Hilbert transform
In mathematics and in signal processing, the Hilbert transform is a specific linear operator that takes a function, u(t) of a real variable and produces another function of a real variable H(u)(t).
New!!: David Hilbert and Hilbert transform · See more »
Hilbert's arithmetic of ends
In mathematics, specifically in the area of hyperbolic geometry, Hilbert's arithmetic of ends is a method for endowing a geometric set, the set of ideal points or "ends" of a hyperbolic plane, with an algebraic structure as a field.
New!!: David Hilbert and Hilbert's arithmetic of ends · See more »
Hilbert's axioms
Hilbert's axioms are a set of 20 assumptions proposed by David Hilbert in 1899 in his book Grundlagen der Geometrie (tr. The Foundations of Geometry) as the foundation for a modern treatment of Euclidean geometry.
New!!: David Hilbert and Hilbert's axioms · See more »
Hilbert's basis theorem
In mathematics, specifically commutative algebra, Hilbert's basis theorem says that a polynomial ring over a Noetherian ring is Noetherian.
New!!: David Hilbert and Hilbert's basis theorem · See more »
Hilbert's irreducibility theorem
In number theory, Hilbert's irreducibility theorem, conceived by David Hilbert, states that every finite number of irreducible polynomials in a finite number of variables and having rational number coefficients admit a common specialization of a proper subset of the variables to rational numbers such that all the polynomials remain irreducible.
New!!: David Hilbert and Hilbert's irreducibility theorem · See more »
Hilbert's Nullstellensatz
Hilbert's Nullstellensatz (German for "theorem of zeros," or more literally, "zero-locus-theorem"—see Satz) is a theorem that establishes a fundamental relationship between geometry and algebra.
New!!: David Hilbert and Hilbert's Nullstellensatz · See more »
Hilbert's problems
Hilbert's problems are twenty-three problems in mathematics published by German mathematician David Hilbert in 1900.
New!!: David Hilbert and Hilbert's problems · See more »
Hilbert's program
In mathematics, Hilbert's program, formulated by German mathematician David Hilbert in the early part of the 20th century, was a proposed solution to the foundational crisis of mathematics, when early attempts to clarify the foundations of mathematics were found to suffer from paradoxes and inconsistencies.
New!!: David Hilbert and Hilbert's program · See more »
Hilbert's syzygy theorem
In mathematics, Hilbert's syzygy theorem is one of the three fundamental theorems about polynomial rings over fields, first proved by David Hilbert in 1890, which were introduced for solving important open questions in invariant theory, and are at the basis of modern algebraic geometry.
New!!: David Hilbert and Hilbert's syzygy theorem · See more »
Hilbert's theorem (differential geometry)
In differential geometry, Hilbert's theorem (1901) states that there exists no complete regular surface S of constant negative gaussian curvature K immersed in \mathbb^.
New!!: David Hilbert and Hilbert's theorem (differential geometry) · See more »
Hilbert's Theorem 90
In abstract algebra, Hilbert's Theorem 90 (or Satz 90) is an important result on cyclic extensions of fields (or to one of its generalizations) that leads to Kummer theory.
New!!: David Hilbert and Hilbert's Theorem 90 · See more »
Hilbert's twenty-fourth problem
Hilbert's twenty-fourth problem is a mathematical problem that was not published as part of the list of 23 problems known as Hilbert's problems but was included in David Hilbert's original notes.
New!!: David Hilbert and Hilbert's twenty-fourth problem · See more »
Hilbert–Burch theorem
In mathematics, the Hilbert–Burch theorem describes the structure of some free resolutions of a quotient of a local or graded ring in the case that the quotient has projective dimension 2.
New!!: David Hilbert and Hilbert–Burch theorem · See more »
Hilbert–Mumford criterion
In mathematics, the Hilbert–Mumford criterion, introduced by David Hilbert and David Mumford, characterizes the semistable and stable points of a group action on a vector space in terms of eigenvalues of 1-parameter subgroups.
New!!: David Hilbert and Hilbert–Mumford criterion · See more »
Hilbert–Pólya conjecture
In mathematics, the Hilbert–Pólya conjecture is a possible approach to the Riemann hypothesis, by means of spectral theory.
New!!: David Hilbert and Hilbert–Pólya conjecture · See more »
Hilbert–Poincaré series
In mathematics, and in particular in the field of algebra, a Hilbert–Poincaré series (also known under the name Hilbert series), named after David Hilbert and Henri Poincaré, is an adaptation of the notion of dimension to the context of graded algebraic structures (where the dimension of the entire structure is often infinite).
New!!: David Hilbert and Hilbert–Poincaré series · See more »
Hilbert–Schmidt operator
In mathematics, a Hilbert–Schmidt operator, named for David Hilbert and Erhard Schmidt, is a bounded operator A on a Hilbert space H with finite Hilbert–Schmidt norm where \|\ \| is the norm of H, \ an orthonormal basis of H, and Tr is the trace of a nonnegative self-adjoint operator.
New!!: David Hilbert and Hilbert–Schmidt operator · See more »
Hilbert–Smith conjecture
In mathematics, the Hilbert–Smith conjecture is concerned with the transformation groups of manifolds; and in particular with the limitations on topological groups G that can act effectively (faithfully) on a (topological) manifold M. Restricting to G which are locally compact and have a continuous, faithful group action on M, it states that G must be a Lie group.
New!!: David Hilbert and Hilbert–Smith conjecture · See more »
Hilbert–Speiser theorem
In mathematics, the Hilbert–Speiser theorem is a result on cyclotomic fields, characterising those with a normal integral basis.
New!!: David Hilbert and Hilbert–Speiser theorem · See more »
Homogeneous polynomial
In mathematics, a homogeneous polynomial is a polynomial whose nonzero terms all have the same degree.
New!!: David Hilbert and Homogeneous polynomial · See more »
Hugo Steinhaus
Władysław Hugo Dionizy Steinhaus (January 14, 1887 – February 25, 1972) was a Jewish-Polish mathematician and educator.
New!!: David Hilbert and Hugo Steinhaus · See more »
Ignoramus et ignorabimus
The Latin maxim ignoramus et ignorabimus, meaning "we do not know and will not know", represents the idea that scientific knowledge is limited.
New!!: David Hilbert and Ignoramus et ignorabimus · See more »
Immanuel Kant
Immanuel Kant (22 April 1724 – 12 February 1804) was a German philosopher who is a central figure in modern philosophy.
New!!: David Hilbert and Immanuel Kant · See more »
Integral equation
In mathematics, an integral equation is an equation in which an unknown function appears under an integral sign.
New!!: David Hilbert and Integral equation · See more »
International Congress of Mathematicians
The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics.
New!!: David Hilbert and International Congress of Mathematicians · See more »
Intuitionism
In the philosophy of mathematics, intuitionism, or neointuitionism (opposed to preintuitionism), is an approach where mathematics is considered to be purely the result of the constructive mental activity of humans rather than the discovery of fundamental principles claimed to exist in an objective reality.
New!!: David Hilbert and Intuitionism · See more »
Invariant of a binary form
In mathematical invariant theory, an invariant of a binary form is a polynomial in the coefficients of a binary form in two variables x and y that remains invariant under the special linear group acting on the variables x and y.
New!!: David Hilbert and Invariant of a binary form · See more »
Invariant theory
Invariant theory is a branch of abstract algebra dealing with actions of groups on algebraic varieties, such as vector spaces, from the point of view of their effect on functions.
New!!: David Hilbert and Invariant theory · See more »
Ivor Grattan-Guinness
Ivor Owen Grattan-Guinness (23 June 1941 – 12 December 2014) was a historian of mathematics and logic.
New!!: David Hilbert and Ivor Grattan-Guinness · See more »
Jacobson ring
In algebra, a Hilbert ring or a Jacobson ring is a ring such that every prime ideal is an intersection of primitive ideals.
New!!: David Hilbert and Jacobson ring · See more »
Jagdish Mehra
Jagdish Mehra (April 8, 1931 – September 14, 2008) was an Indian-American historian of science.
New!!: David Hilbert and Jagdish Mehra · See more »
Jean van Heijenoort
Jean Louis Maxime van Heijenoort (July 23, 1912 – March 29, 1986) was a pioneer historian of mathematical logic.
New!!: David Hilbert and Jean van Heijenoort · See more »
Jeremy Gray
Jeremy John Gray (born 25 April 1947) is an English mathematician primarily interested in the history of mathematics.
New!!: David Hilbert and Jeremy Gray · See more »
John von Neumann
John von Neumann (Neumann János Lajos,; December 28, 1903 – February 8, 1957) was a Hungarian-American mathematician, physicist, computer scientist, and polymath.
New!!: David Hilbert and John von Neumann · See more »
John Wiley & Sons
John Wiley & Sons, Inc., also referred to as Wiley, is a global publishing company that specializes in academic publishing.
New!!: David Hilbert and John Wiley & Sons · See more »
Kaliningrad
Kaliningrad (p; former German name: Königsberg; Yiddish: קעניגסבערג, Kenigsberg; r; Old Prussian: Twangste, Kunnegsgarbs, Knigsberg; Polish: Królewiec) is a city in the administrative centre of Kaliningrad Oblast, a Russian exclave between Poland and Lithuania on the Baltic Sea.
New!!: David Hilbert and Kaliningrad · See more »
Königsberg
Königsberg is the name for a former German city that is now Kaliningrad, Russia.
New!!: David Hilbert and Königsberg · See more »
Kinetic theory of gases
The kinetic theory describes a gas as a large number of submicroscopic particles (atoms or molecules), all of which are in constant rapid motion that has randomness arising from their many collisions with each other and with the walls of the container.
New!!: David Hilbert and Kinetic theory of gases · See more »
Kingdom of Prussia
The Kingdom of Prussia (Königreich Preußen) was a German kingdom that constituted the state of Prussia between 1701 and 1918.
New!!: David Hilbert and Kingdom of Prussia · See more »
Kip Thorne
Kip Stephen Thorne (born June 1, 1940) is an American theoretical physicist and Nobel laureate, known for his contributions in gravitational physics and astrophysics.
New!!: David Hilbert and Kip Thorne · See more »
Klara Löbenstein
Klara Löbenstein (15 February 1883 – ?) was a German mathematician.
New!!: David Hilbert and Klara Löbenstein · See more »
Kurt Gödel
Kurt Friedrich Gödel (April 28, 1906 – January 14, 1978) was an Austrian, and later American, logician, mathematician, and philosopher.
New!!: David Hilbert and Kurt Gödel · See more »
Kurt Grelling
Kurt Grelling (2 March 1886 – September 1942) was a German logician and philosopher, member of the Berlin Circle.
New!!: David Hilbert and Kurt Grelling · See more »
Kurt Schütte
Kurt Schütte (14 October 1909, Salzwedel – 18 August 1998, Munich) was a German mathematician who worked on proof theory and ordinal analysis.
New!!: David Hilbert and Kurt Schütte · See more »
L. E. J. Brouwer
Luitzen Egbertus Jan Brouwer (27 February 1881 – 2 December 1966), usually cited as L. E. J. Brouwer but known to his friends as Bertus, was a Dutch mathematician and philosopher, who worked in topology, set theory, measure theory and complex analysis.
New!!: David Hilbert and L. E. J. Brouwer · See more »
Law for the Restoration of the Professional Civil Service
The Law for the Restoration of the Professional Civil Service (Gesetz zur Wiederherstellung des Berufsbeamtentums, shortened to Berufsbeamtengesetz), also known as Civil Service Law, Civil Service Restoration Act, and Law to Re-establish the Civil Service, was a law passed by the National Socialist regime on 7 April 1933, two months after Adolf Hitler attained power.
New!!: David Hilbert and Law for the Restoration of the Professional Civil Service · See more »
Law of excluded middle
In logic, the law of excluded middle (or the principle of excluded middle) states that for any proposition, either that proposition is true or its negation is true.
New!!: David Hilbert and Law of excluded middle · See more »
Leopold Kronecker
Leopold Kronecker (7 December 1823 – 29 December 1891) was a German mathematician who worked on number theory, algebra and logic.
New!!: David Hilbert and Leopold Kronecker · See more »
Line (geometry)
The notion of line or straight line was introduced by ancient mathematicians to represent straight objects (i.e., having no curvature) with negligible width and depth.
New!!: David Hilbert and Line (geometry) · See more »
Line segment
In geometry, a line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line between its endpoints.
New!!: David Hilbert and Line segment · See more »
List of things named after David Hilbert
David Hilbert (1862–1943), a mathematician, is the eponym of all of the things (and topics) listed below.
New!!: David Hilbert and List of things named after David Hilbert · See more »
Lobachevsky Prize
The Lobachevsky Prize, awarded by the Russian Academy of Sciences, and the Lobachevsky Medal, awarded by the Kazan State University, are mathematical awards in honor of Nikolai Ivanovich Lobachevsky.
New!!: David Hilbert and Lobachevsky Prize · See more »
Local class field theory
In mathematics, local class field theory, introduced by Helmut Hasse, is the study of abelian extensions of local fields; here, "local field" means a field which is complete with respect to an absolute value or a discrete valuation with a finite residue field: hence every local field is isomorphic (as a topological field) to the real numbers R, the complex numbers C, a finite extension of the ''p''-adic numbers Qp (where p is any prime number), or a finite extension of the field of formal Laurent series Fq((T)) over a finite field Fq.
New!!: David Hilbert and Local class field theory · See more »
Margarete Kahn
Margarete Kahn (known as Grete Kahn, born 27 August 1880, missing after deportation to Piaski, Poland on 28 March 1942) was a German mathematician and Holocaust victim.
New!!: David Hilbert and Margarete Kahn · See more »
Mathematical formulation of quantum mechanics
The mathematical formulations of quantum mechanics are those mathematical formalisms that permit a rigorous description of quantum mechanics.
New!!: David Hilbert and Mathematical formulation of quantum mechanics · See more »
Mathematical logic
Mathematical logic is a subfield of mathematics exploring the applications of formal logic to mathematics.
New!!: David Hilbert and Mathematical logic · See more »
Mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in his or her work, typically to solve mathematical problems.
New!!: David Hilbert and Mathematician · See more »
Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
New!!: David Hilbert and Mathematics · See more »
Mathematische Annalen
Mathematische Annalen (abbreviated as Math. Ann. or, formerly, Math. Annal.) is a German mathematical research journal founded in 1868 by Alfred Clebsch and Carl Neumann.
New!!: David Hilbert and Mathematische Annalen · See more »
Matrix mechanics
Matrix mechanics is a formulation of quantum mechanics created by Werner Heisenberg, Max Born, and Pascual Jordan in 1925.
New!!: David Hilbert and Matrix mechanics · See more »
Max Born
Max Born (11 December 1882 – 5 January 1970) was a German physicist and mathematician who was instrumental in the development of quantum mechanics.
New!!: David Hilbert and Max Born · See more »
Max Dehn
Max Wilhelm Dehn (November 13, 1878 – June 27, 1952) was a German-born American mathematician and student of David Hilbert.
New!!: David Hilbert and Max Dehn · See more »
Max Mason
Charles Max Mason (October 26, 1877 – March 22, 1961), better known as Max Mason, was an American mathematician.
New!!: David Hilbert and Max Mason · See more »
Metamathematics
Metamathematics is the study of mathematics itself using mathematical methods.
New!!: David Hilbert and Metamathematics · See more »
Methoden der mathematischen Physik
Methoden der mathematischen Physik (Methods of Mathematical Physics) is a 1924 book, in two volumes totalling around 1000 pages, published under the names of David Hilbert and Richard Courant.
New!!: David Hilbert and Methoden der mathematischen Physik · See more »
Moritz Pasch
Moritz Pasch (8 November 1843, Breslau, Prussia (now Wrocław, Poland) – 20 September 1930, Bad Homburg, Germany) was a German mathematician of Jewish ancestry specializing in the foundations of geometry.
New!!: David Hilbert and Moritz Pasch · See more »
Nature (journal)
Nature is a British multidisciplinary scientific journal, first published on 4 November 1869.
New!!: David Hilbert and Nature (journal) · See more »
Nazi Germany
Nazi Germany is the common English name for the period in German history from 1933 to 1945, when Germany was under the dictatorship of Adolf Hitler through the Nazi Party (NSDAP).
New!!: David Hilbert and Nazi Germany · See more »
Nicolas Bourbaki
Nicolas Bourbaki is the collective pseudonym under which a group of (mainly French) 20th-century mathematicians, with the aim of reformulating mathematics on an extremely abstract and formal but self-contained basis, wrote a series of books beginning in 1935.
New!!: David Hilbert and Nicolas Bourbaki · See more »
Non-Euclidean geometry
In mathematics, non-Euclidean geometry consists of two geometries based on axioms closely related to those specifying Euclidean geometry.
New!!: David Hilbert and Non-Euclidean geometry · See more »
Notices of the American Mathematical Society
Notices of the American Mathematical Society is the membership journal of the American Mathematical Society (AMS), published monthly except for the combined June/July issue.
New!!: David Hilbert and Notices of the American Mathematical Society · See more »
Olga Taussky-Todd
Olga Taussky-Todd (August 30, 1906, Olomouc, Austria-Hungary (present-day Olomouc, Czech Republic) – October 7, 1995, Pasadena, California) was an Austrian and later Czech-American mathematician.
New!!: David Hilbert and Olga Taussky-Todd · See more »
Oliver Dimon Kellogg
Oliver Dimon Kellogg (10 July 1878 – 27 August 1932) was an American mathematician.
New!!: David Hilbert and Oliver Dimon Kellogg · See more »
Otto Blumenthal
Ludwig Otto Blumenthal (20 July 1876 – 12 November 1944) was a German mathematician and professor at RWTH Aachen University.
New!!: David Hilbert and Otto Blumenthal · See more »
Paris
Paris is the capital and most populous city of France, with an area of and a population of 2,206,488.
New!!: David Hilbert and Paris · See more »
Paul Bernays
Paul Isaac Bernays (17 October 1888 – 18 September 1977) was a Swiss mathematician, who made significant contributions to mathematical logic, axiomatic set theory, and the philosophy of mathematics.
New!!: David Hilbert and Paul Bernays · See more »
Paul Funk
Paul Georg Funk (14 April 1886, Vienna – 3 June 1969, Vienna) was an Austrian mathematician who introduced the Funk transform and who worked on the calculus of variations.
New!!: David Hilbert and Paul Funk · See more »
Paul Gordan
Paul Albert Gordan (27 April 1837 – 21 December 1912) was a German mathematician, a student of Carl Jacobi at the University of Königsberg before obtaining his Ph.D. at the University of Breslau (1862),.
New!!: David Hilbert and Paul Gordan · See more »
Peano axioms
In mathematical logic, the Peano axioms, also known as the Dedekind–Peano axioms or the Peano postulates, are axioms for the natural numbers presented by the 19th century Italian mathematician Giuseppe Peano.
New!!: David Hilbert and Peano axioms · See more »
Philosophy
Philosophy (from Greek φιλοσοφία, philosophia, literally "love of wisdom") is the study of general and fundamental problems concerning matters such as existence, knowledge, values, reason, mind, and language.
New!!: David Hilbert and Philosophy · See more »
Philosophy of mathematics
The philosophy of mathematics is the branch of philosophy that studies the assumptions, foundations, and implications of mathematics, and purports to provide a viewpoint of the nature and methodology of mathematics, and to understand the place of mathematics in people's lives.
New!!: David Hilbert and Philosophy of mathematics · See more »
Physics
Physics (from knowledge of nature, from φύσις phýsis "nature") is the natural science that studies matterAt the start of The Feynman Lectures on Physics, Richard Feynman offers the atomic hypothesis as the single most prolific scientific concept: "If, in some cataclysm, all scientific knowledge were to be destroyed one sentence what statement would contain the most information in the fewest words? I believe it is that all things are made up of atoms – little particles that move around in perpetual motion, attracting each other when they are a little distance apart, but repelling upon being squeezed into one another..." and its motion and behavior through space and time and that studies the related entities of energy and force."Physical science is that department of knowledge which relates to the order of nature, or, in other words, to the regular succession of events." Physics is one of the most fundamental scientific disciplines, and its main goal is to understand how the universe behaves."Physics is one of the most fundamental of the sciences. Scientists of all disciplines use the ideas of physics, including chemists who study the structure of molecules, paleontologists who try to reconstruct how dinosaurs walked, and climatologists who study how human activities affect the atmosphere and oceans. Physics is also the foundation of all engineering and technology. No engineer could design a flat-screen TV, an interplanetary spacecraft, or even a better mousetrap without first understanding the basic laws of physics. (...) You will come to see physics as a towering achievement of the human intellect in its quest to understand our world and ourselves."Physics is an experimental science. Physicists observe the phenomena of nature and try to find patterns that relate these phenomena.""Physics is the study of your world and the world and universe around you." Physics is one of the oldest academic disciplines and, through its inclusion of astronomy, perhaps the oldest. Over the last two millennia, physics, chemistry, biology, and certain branches of mathematics were a part of natural philosophy, but during the scientific revolution in the 17th century, these natural sciences emerged as unique research endeavors in their own right. Physics intersects with many interdisciplinary areas of research, such as biophysics and quantum chemistry, and the boundaries of physics are not rigidly defined. New ideas in physics often explain the fundamental mechanisms studied by other sciences and suggest new avenues of research in academic disciplines such as mathematics and philosophy. Advances in physics often enable advances in new technologies. For example, advances in the understanding of electromagnetism and nuclear physics led directly to the development of new products that have dramatically transformed modern-day society, such as television, computers, domestic appliances, and nuclear weapons; advances in thermodynamics led to the development of industrialization; and advances in mechanics inspired the development of calculus.
New!!: David Hilbert and Physics · See more »
Piergiorgio Odifreddi
Piergiorgio Odifreddi (born 13 July 1950 in Cuneo) is an Italian mathematician, logician and aficionado of the history of science, who is also extremely active as a popular science writer and essayist, especially in a perspective of philosophical atheism as a member of the Italian Union of Rationalist Atheists and Agnostics.
New!!: David Hilbert and Piergiorgio Odifreddi · See more »
Pierre de Fermat
Pierre de Fermat (Between 31 October and 6 December 1607 – 12 January 1665) was a French lawyer at the Parlement of Toulouse, France, and a mathematician who is given credit for early developments that led to infinitesimal calculus, including his technique of adequality.
New!!: David Hilbert and Pierre de Fermat · See more »
Pieter Zeeman
Pieter Zeeman (25 May 1865 – 9 October 1943) was a Dutch physicist who shared the 1902 Nobel Prize in Physics with Hendrik Lorentz for his discovery of the Zeeman effect.
New!!: David Hilbert and Pieter Zeeman · See more »
Plane (geometry)
In mathematics, a plane is a flat, two-dimensional surface that extends infinitely far.
New!!: David Hilbert and Plane (geometry) · See more »
Point (geometry)
In modern mathematics, a point refers usually to an element of some set called a space.
New!!: David Hilbert and Point (geometry) · See more »
Principles of Mathematical Logic
Principles of Mathematical Logic is the 1950 American translation of the 1938 second edition of David Hilbert's and Wilhelm Ackermann's classic text Grundzüge der theoretischen Logik, on elementary mathematical logic.
New!!: David Hilbert and Principles of Mathematical Logic · See more »
Professor
Professor (commonly abbreviated as Prof.) is an academic rank at universities and other post-secondary education and research institutions in most countries.
New!!: David Hilbert and Professor · See more »
Proof theory
Proof theory is a major branchAccording to Wang (1981), pp.
New!!: David Hilbert and Proof theory · See more »
Province of Prussia
The Province of Prussia (Prowincjô Prësë) was a province of the Kingdom of Prussia from 1829–1878.
New!!: David Hilbert and Province of Prussia · See more »
Prussian Union of Churches
The Prussian Union of Churches (known under multiple other names) was a major Protestant church body which emerged in 1817 from a series of decrees by Frederick William III of Prussia that united both Lutheran and Reformed denominations in Prussia.
New!!: David Hilbert and Prussian Union of Churches · See more »
Radiation
In physics, radiation is the emission or transmission of energy in the form of waves or particles through space or through a material medium.
New!!: David Hilbert and Radiation · See more »
Random House Webster's Unabridged Dictionary
Random House Webster's Unabridged Dictionary is a large American dictionary, first published in 1966 as The Random House Dictionary of the English Language: The Unabridged Edition.
New!!: David Hilbert and Random House Webster's Unabridged Dictionary · See more »
Relativity priority dispute
Albert Einstein presented the theories of special relativity and general relativity in publications that either contained no formal references to previous literature, or referred only to a small number of his predecessors for fundamental results on which he based his theories, most notably to the work of Hendrik Lorentz for special relativity, and to the work of Carl F. Gauss, Bernhard Riemann, and Ernst Mach for general relativity.
New!!: David Hilbert and Relativity priority dispute · See more »
Richard Courant
Richard Courant (January 8, 1888 – January 27, 1972) was a German American mathematician.
New!!: David Hilbert and Richard Courant · See more »
Robert König
Robert Johann Maria König (11 April 1885, Linz – 9 July 1979, Munich) was an Austrian mathematician.
New!!: David Hilbert and Robert König · See more »
Robert Lee Moore
Robert Lee Moore (November 14, 1882 – October 4, 1974) was an American mathematician who taught for many years at the University of Texas.
New!!: David Hilbert and Robert Lee Moore · See more »
Rudolf Fueter
Karl Rudolf Fueter (30 June 1880 – 9 August 1950) was a Swiss mathematician, known for his work on number theory.
New!!: David Hilbert and Rudolf Fueter · See more »
Russia
Russia (rɐˈsʲijə), officially the Russian Federation (p), is a country in Eurasia. At, Russia is the largest country in the world by area, covering more than one-eighth of the Earth's inhabited land area, and the ninth most populous, with over 144 million people as of December 2017, excluding Crimea. About 77% of the population live in the western, European part of the country. Russia's capital Moscow is one of the largest cities in the world; other major cities include Saint Petersburg, Novosibirsk, Yekaterinburg and Nizhny Novgorod. Extending across the entirety of Northern Asia and much of Eastern Europe, Russia spans eleven time zones and incorporates a wide range of environments and landforms. From northwest to southeast, Russia shares land borders with Norway, Finland, Estonia, Latvia, Lithuania and Poland (both with Kaliningrad Oblast), Belarus, Ukraine, Georgia, Azerbaijan, Kazakhstan, China, Mongolia and North Korea. It shares maritime borders with Japan by the Sea of Okhotsk and the U.S. state of Alaska across the Bering Strait. The East Slavs emerged as a recognizable group in Europe between the 3rd and 8th centuries AD. Founded and ruled by a Varangian warrior elite and their descendants, the medieval state of Rus arose in the 9th century. In 988 it adopted Orthodox Christianity from the Byzantine Empire, beginning the synthesis of Byzantine and Slavic cultures that defined Russian culture for the next millennium. Rus' ultimately disintegrated into a number of smaller states; most of the Rus' lands were overrun by the Mongol invasion and became tributaries of the nomadic Golden Horde in the 13th century. The Grand Duchy of Moscow gradually reunified the surrounding Russian principalities, achieved independence from the Golden Horde. By the 18th century, the nation had greatly expanded through conquest, annexation, and exploration to become the Russian Empire, which was the third largest empire in history, stretching from Poland on the west to Alaska on the east. Following the Russian Revolution, the Russian Soviet Federative Socialist Republic became the largest and leading constituent of the Union of Soviet Socialist Republics, the world's first constitutionally socialist state. The Soviet Union played a decisive role in the Allied victory in World War II, and emerged as a recognized superpower and rival to the United States during the Cold War. The Soviet era saw some of the most significant technological achievements of the 20th century, including the world's first human-made satellite and the launching of the first humans in space. By the end of 1990, the Soviet Union had the world's second largest economy, largest standing military in the world and the largest stockpile of weapons of mass destruction. Following the dissolution of the Soviet Union in 1991, twelve independent republics emerged from the USSR: Russia, Ukraine, Belarus, Kazakhstan, Uzbekistan, Armenia, Azerbaijan, Georgia, Kyrgyzstan, Moldova, Tajikistan, Turkmenistan and the Baltic states regained independence: Estonia, Latvia, Lithuania; the Russian SFSR reconstituted itself as the Russian Federation and is recognized as the continuing legal personality and a successor of the Soviet Union. It is governed as a federal semi-presidential republic. The Russian economy ranks as the twelfth largest by nominal GDP and sixth largest by purchasing power parity in 2015. Russia's extensive mineral and energy resources are the largest such reserves in the world, making it one of the leading producers of oil and natural gas globally. The country is one of the five recognized nuclear weapons states and possesses the largest stockpile of weapons of mass destruction. Russia is a great power as well as a regional power and has been characterised as a potential superpower. It is a permanent member of the United Nations Security Council and an active global partner of ASEAN, as well as a member of the G20, the Shanghai Cooperation Organisation (SCO), the Council of Europe, the Asia-Pacific Economic Cooperation (APEC), the Organization for Security and Co-operation in Europe (OSCE), and the World Trade Organization (WTO), as well as being the leading member of the Commonwealth of Independent States (CIS), the Collective Security Treaty Organization (CSTO) and one of the five members of the Eurasian Economic Union (EEU), along with Armenia, Belarus, Kazakhstan and Kyrgyzstan.
New!!: David Hilbert and Russia · See more »
Schrödinger equation
In quantum mechanics, the Schrödinger equation is a mathematical equation that describes the changes over time of a physical system in which quantum effects, such as wave–particle duality, are significant.
New!!: David Hilbert and Schrödinger equation · See more »
Solid geometry
In mathematics, solid geometry is the traditional name for the geometry of three-dimensional Euclidean space.
New!!: David Hilbert and Solid geometry · See more »
Spectral theory
In mathematics, spectral theory is an inclusive term for theories extending the eigenvector and eigenvalue theory of a single square matrix to a much broader theory of the structure of operators in a variety of mathematical spaces.
New!!: David Hilbert and Spectral theory · See more »
Springer Science+Business Media
Springer Science+Business Media or Springer, part of Springer Nature since 2015, is a global publishing company that publishes books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing.
New!!: David Hilbert and Springer Science+Business Media · See more »
Stefan Banach
Stefan Banach (30 March 1892 – 31 August 1945) was a Polish mathematician who is generally considered one of the world's most important and influential 20th-century mathematicians.
New!!: David Hilbert and Stefan Banach · See more »
Teiji Takagi
Teiji Takagi (高木 貞治 Takagi Teiji, April 21, 1875 – February 28, 1960) was a Japanese mathematician, best known for proving the Takagi existence theorem in class field theory.
New!!: David Hilbert and Teiji Takagi · See more »
Theorem
In mathematics, a theorem is a statement that has been proven on the basis of previously established statements, such as other theorems, and generally accepted statements, such as axioms.
New!!: David Hilbert and Theorem · See more »
Theoretical computer science
Theoretical computer science, or TCS, is a subset of general computer science and mathematics that focuses on more mathematical topics of computing and includes the theory of computation.
New!!: David Hilbert and Theoretical computer science · See more »
Transfinite number
Transfinite numbers are numbers that are "infinite" in the sense that they are larger than all finite numbers, yet not necessarily absolutely infinite.
New!!: David Hilbert and Transfinite number · See more »
University of Göttingen
The University of Göttingen (Georg-August-Universität Göttingen, GAU, known informally as Georgia Augusta) is a public research university in the city of Göttingen, Germany.
New!!: David Hilbert and University of Göttingen · See more »
University of Königsberg
The University of Königsberg (Albertus-Universität Königsberg) was the university of Königsberg in East Prussia.
New!!: David Hilbert and University of Königsberg · See more »
Vitamin B12 deficiency anemia
Vitamin B12 deficiency anemia, of which pernicious anemia is a type, is a disease in which not enough red blood cells are produced due to a deficiency of vitamin B12.
New!!: David Hilbert and Vitamin B12 deficiency anemia · See more »
Wallie Abraham Hurwitz
Wallie Abraham Hurwitz (February 18, 1886 in Joplin, Missouri – January 6, 1958 in Ithaca, New York) was an American mathematician who worked on analysis.
New!!: David Hilbert and Wallie Abraham Hurwitz · See more »
Walter de Gruyter
Walter de Gruyter GmbH (or; brand name: De Gruyter) is a scholarly publishing house specializing in academic literature.
New!!: David Hilbert and Walter de Gruyter · See more »
Waring's problem
In number theory, Waring's problem asks whether each natural number k has an associated positive integer s such that every natural number is the sum of at most s natural numbers to the power of k. For example, every natural number is the sum of at most 4 squares, 9 cubes, or 19 fourth powers.
New!!: David Hilbert and Waring's problem · See more »
Werner Boy
Werner Boy (4 May 1879 − 6 September 1914) was a German mathematician.
New!!: David Hilbert and Werner Boy · See more »
Werner Heisenberg
Werner Karl Heisenberg (5 December 1901 – 1 February 1976) was a German theoretical physicist and one of the key pioneers of quantum mechanics.
New!!: David Hilbert and Werner Heisenberg · See more »
Wilhelm Ackermann
Wilhelm Friedrich Ackermann (29 March 1896 – 24 December 1962) was a German mathematician best known for the Ackermann function, an important example in the theory of computation.
New!!: David Hilbert and Wilhelm Ackermann · See more »
Zahlbericht
In mathematics, the Zahlbericht (number report) was a report on algebraic number theory by.
New!!: David Hilbert and Zahlbericht · See more »
Znamensk, Kaliningrad Oblast
Znamensk (Vėluva; Welawa) is a rural locality (a settlement) in Gvardeysky District of Kaliningrad Oblast, Russia, located on the right bank of the Pregolya River at its confluence with the Lava River east of Kaliningrad.
New!!: David Hilbert and Znamensk, Kaliningrad Oblast · See more »
Redirects here:
D. Hilbert, David hilbert, David hillbert, Gordan's Problem, Gordan's problem, Hilbert, Hilbert, David, Hilbertian.
References
[1] https://en.wikipedia.org/wiki/David_Hilbert
