Mathematics is the study of numbers, quantities, shapes, and the logical relationships between them, built up from definitions and proof rather than observation alone. It has been developed independently in many civilizations, from Babylonian and Egyptian arithmetic through Greek geometry and Indian and Islamic algebra to modern analysis, and it supplies the language in which every other science states and tests its theories. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/
Facts
Founded YearEuclid's Elements (c. 300 BCE) systematized geometry and number theory into the axiomatic, proof-based form that defines mathematics as a discipline rather than a scattered set of practical techniques; the same landmark-publication convention this atlas already uses for physics (Newton's Principia, 1687) and chemistry (Lavoisier's Traite, 1789). The exact year is not recorded; MacTutor and the wider historiography place it circa 300 BCE. Central QuestionWhat can be proven true from a given set of axioms, and which of the field's enduring unsolved problems, such as whether P equals NP, will yield to that method? 2 ScopeMathematics studies abstract concepts such as numbers, geometric shapes, sets, functions and probabilities, using logical reasoning and proof to establish their properties as theorems, formulas and equations. 2 SignificanceAround 300 BC Euclid organized the mathematical knowledge of his day by way of postulates and first principles, originating the axiomatic method that still defines mathematical proof today. The more than sixty first level branches recognized now, from number theory and geometry to discrete mathematics and mathematical logic, all still build proof on that same foundation. 2 Mathematics
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The Fields Medal is awarded to mathematicians at the International Congress of Mathematicians.
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WikipediaLead section
Mathematics is a field of knowledge concerned with abstract concepts such as numbers, geometric shapes, sets, functions, and probabilities. It uses logical reasoning and proof to study and establish their properties, often expressed as theorems, formulas, and equations.
- Founded By: Euclid
In Group: Mathematics, Statistics and Logic, Lead
is a field of knowledge concerned with abstract concepts such as numbers, geometric shapes, sets, functions, and probabilities
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Statistics (Wikipedia)
Fields Medal (Wikipedia)
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Wang Zhenyi (Wikipedia)
WikipediaHas Scientist: Wang Zhenyi, LeadQuote, Has Scientist: Wang Zhenyi, Lead
is known for her contributions to astronomy, mathematics, and poetry
View the Source Diophantus - Wikipedia
Has Scientist: Diophantus, LeadQuote, Has Scientist: Diophantus, Lead
was a Greek mathematician
View the Source Fibonacci
Has Scientist: Leonardo of Pisa, LeadQuote, Has Scientist: Leonardo of Pisa, Lead
was an Italian mathematician
View the Source Mathematical proof (Wikipedia)
Has Theory: Proof, LeadQuote, Has Theory: Proof, Lead
A mathematical proof is a deductive argument for a mathematical statement, showing that the stated assumptions logically guarantee the conclusion.
View the Source Leonard Susskind (Wikipedia)
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Infobox fields: Physics, mathematics
View the Source Christian Doppler (Wikipedia)
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Infobox fields: Mathematics physics
View the Source Annibale de Gasparis (Wikipedia)
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Infobox fields: Mathematics, astronomy, celestial mechanics
View the Source Brahmagupta (Wikipedia)
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Infobox fields: Astronomy, mathematics
View the Source Guo Shoujing (Wikipedia)
WikipediaHas Scientist: Guo Shoujing, Infobox, fieldsQuote, Has Scientist: Guo Shoujing, Infobox, fields
Infobox fields: Astronomy, hydraulic engineering, mathematics
View the Source Alfred Tarski (Wikipedia)
WikipediaHas Scientist: Alfred Tarski, Infobox, fieldsQuote, Has Scientist: Alfred Tarski, Infobox, fields
Infobox fields: Mathematics, logic, formal language
View the Source Ernst Zermelo (Wikipedia)
WikipediaHas Scientist: Ernst Zermelo, Infobox, fieldsQuote, Has Scientist: Ernst Zermelo, Infobox, fields
Infobox fields: Mathematics
View the Source Abraham Fraenkel (Wikipedia)
WikipediaHas Scientist: Abraham Fraenkel, Infobox, fieldsQuote, Has Scientist: Abraham Fraenkel, Infobox, fields
Infobox fields: Mathematics
View the Source Gerhard Gentzen (Wikipedia)
WikipediaHas Scientist: Gerhard Gentzen, Infobox, fieldsQuote, Has Scientist: Gerhard Gentzen, Infobox, fields
Infobox fields: Mathematics
View the Source Eudoxus of Cnidus, Wikipedia
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Infobox fields: Mathematics; Physics; Geography; Astronomy; Medicine; Philosophy
View the Source Wikipedia: Benoit Mandelbrot
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Infobox fields: Mathematics ; Aerodynamics
View the Source Wikipedia: Carl Gustav Jacob Jacobi
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Infobox fields: Mathematics
View the Source L. E. J. Brouwer (Wikipedia)
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Infobox fields: Mathematics
View the Source Hermann Weyl (Wikipedia)
Has Scientist: Hermann Weyl, Infobox, fieldsQuote, Has Scientist: Hermann Weyl, Infobox, fields
Infobox fields: Pure mathematics, mathematical physics, foundations of mathematics
View the Source Leslie Valiant, Wikipedia
Has Scientist: Leslie Valiant, Infobox, fieldsQuote, Has Scientist: Leslie Valiant, Infobox, fields
Infobox fields: Mathematics; Theoretical computer science; Computational learning theory; Theoretical neuroscience
View the Source Richard M. Karp, Wikipedia
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Infobox fields: Mathematics; Computer science
View the Source William Feller (Wikipedia)
WikipediaHas Scientist: William Feller, Infobox, fields
Infobox fields: Mathematician
Has Scientist: William Feller, Lead sentence
William "Vilim" Feller (July 7, 1906, January 14, 1970), born Vilibald Srećko Feller, was a Croatian-American mathematician specializing in probability theory.
View the Source Wikipedia: Augustus De Morgan
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Infobox fields: Mathematician and Logician
Has Scientist: Augustus De Morgan, Lead sentence
Augustus De Morgan (27 June 1806-18 March 1871) was a British mathematician and logician.
View the SourceWilliam Hopkins, Wikipedia
Has Scientist: William Hopkins, Infobox, fields
Infobox fields: Mathematician and geologist
Has Scientist: William Hopkins, Lead sentence
William Hopkins (2 February 179313 October 1866) was an English mathematician and geologist.
View the SourceOliver Heaviside (Wikipedia)
Has Scientist: Oliver Heaviside, Infobox, fields
Infobox fields: Mathematics Electrical engineering
Has Scientist: Oliver Heaviside, Lead sentence
Oliver Heaviside ( ; 18 May 1850-3 February 1925) was a British mathematician and electrical engineer who invented a new technique for solving differential equations (equivalent to the Laplace transform), independently developed vector calculus, and rewrote Maxwell's equations in the form
View the SourcePrasanta Chandra Mahalanobis (Wikipedia)
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Infobox fields: Mathematics, statistics
View the Source Lev Pontryagin (Wikipedia)
Has Scientist: Lev Pontryagin, Infobox, fields
Infobox fields: Mathematics
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Lev Semyonovich Pontryagin (, also written Pontriagin or Pontrjagin, first name sometimes anglicized as Leon) (3 September 1908-3 May 1988) was a Soviet mathematician.
View the SourceJohn C. Baez (Wikipedia)
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Infobox fields: Mathematics, mathematical physics
View the Source Stephen Wolfram (Wikipedia)
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Infobox fields: class=nowrap Mathematics Physics Computing Cellular automata endplainlist
View the Source Paul Tseng (Wikipedia)
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Infobox fields: Optimization, Mathematics, Network
Has Scientist: Paul Tseng, Lead sentence
Paul Tseng () was a Taiwanese-born American-Canadian applied mathematician and a professor at the Department of Mathematics at the University of Washington, in Seattle, Washington.
View the SourceLaurent Schwartz (Wikipedia)
Has Scientist: Laurent Schwartz, Infobox, fields
Infobox fields: Mathematics
Has Scientist: Laurent Schwartz, Lead sentence
Laurent-Moïse Schwartz (; 5 March 1915-4 July 2002) was a French mathematician who received the Fields Medal in 1950 for pioneering the theory of distributions or generalized functions, giving a well-defined meaning to objects such as the Dirac delta function.
View the SourceMaryna Viazovska (Wikipedia)
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Infobox fields: Mathematics
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Maryna Sergiivna Viazovska (, ; born 2 December 1984) is a Ukrainian mathematician known for her work in sphere packing.
View the SourceMichael Atiyah (Wikipedia)
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Infobox fields: Mathematics
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Sir Michael Francis Atiyah (; 22 April 1929-11 January 2019) was a British-Lebanese mathematician specialising in geometry.
View the SourcePeter Scholze (Wikipedia)
Has Scientist: Peter Scholze, Infobox, fields
Infobox fields: Mathematics ; Arithmetic geometry ; Algebraic geometry ; Algebraic number theory
Has Scientist: Peter Scholze, Lead sentence
Peter Scholze (; born 11 December 1987) is a German mathematician known for his work in arithmetic geometry.
View the SourcePierre Deligne (Wikipedia)
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Infobox fields: Mathematics
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Pierre René, Viscount Deligne (; born 3 October 1944) is a Belgian mathematician.
View the SourceJune Huh (Wikipedia)
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Infobox fields: Mathematics
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June E Huh (; born June 9, 1983) is an American mathematician who is currently a professor at Princeton University.
View the SourceWikipedia: Akshay Venkatesh
WikipediaHas Scientist: Akshay Venkatesh, Infobox, fields
Infobox fields: Mathematics
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Akshay Venkatesh (born 1981) is an Australian mathematician and a professor (since 15 August 2018) at the School of Mathematics at the Institute for Advanced Study, Princeton.
View the Source Caucher Birkar (Wikipedia)
Has Scientist: Caucher Birkar, Infobox, fields
Infobox fields: Algebraic geometry; Birational geometry
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Caucher Birkar (; born Fereydoun Derakhshani (، ); July 1978) is a UK-based Iranian Kurdish and British mathematician (born in Iran) and a professor at Tsinghua University.
View the SourceArtur Avila (Wikipedia)
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Infobox fields: Mathematics
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Artur Avila Cordeiro de Melo (; born 29 June 1979) is a Brazilian and naturalized French mathematician working primarily in the fields of dynamical systems and spectral theory.
View the SourceAlain Connes (Wikipedia)
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Infobox fields: Mathematics ; Particle physics
Has Scientist: Alain Connes, Lead sentence
Alain Connes (; born 1 April 1947) is a French mathematician, known for his contributions to the study of operator algebras and noncommutative geometry.
View the SourceEfim Zelmanov (Wikipedia)
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Infobox fields: Mathematics
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Efim Isaakovich Zelmanov (; born 7 September 1955) is a Russian-American mathematician, known for his work on combinatorial problems in nonassociative algebra and group theory, including his solution of the restricted Burnside problem.
View the SourceHermann Bondi (Wikipedia)
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Sir Hermann Bondi (1 November 1919-10 September 2005) was an Austrian-British mathematician and cosmologist.
View the Source John Hadley (Wikipedia)
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John Hadley (16 April 1682 - 14 February 1744) was an English mathematician, and laid claim to the invention of the octant, two years after Thomas Godfrey claimed the same.
View the Source Blaise Pascal (Wikipedia)
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Blaise Pascal (19June 162319August 1662) was a French mathematician, physicist, inventor, philosopher, and Catholic writer.
View the Source Christiaan Huygens (Wikipedia)
WikipediaHas Scientist: Christiaan Huygens, Lead sentenceQuote, Has Scientist: Christiaan Huygens, Lead sentence
Christiaan Huygens, Lord of Zeelhem (14 April 1629-8 July 1695) was a Dutch mathematician, physicist, engineer, astronomer, and inventor who is regarded as a key figure in the Scientific Revolution.
View the Source Freeman Dyson (Wikipedia)
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Freeman John Dyson (15 December 1923-28 February 2020) was a British-American theoretical physicist and mathematician who worked in quantum field theory, astrophysics, random matrices, mathematical formulation of quantum mechanics, condensed matter physics, nuclear physics, and engineering.
View the Source Katherine Johnson (Wikipedia)
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Creola Katherine Johnson (, previously Goble; August 26, 1918February 24, 2020) was an American mathematician and human computer whose calculations of orbital mechanics as a NASA employee were critical to the success of the first and subsequent U.S. crewed spaceflights.
View the Source Gladys West (Wikipedia)
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Gladys Brown West (née Gladys Mae Brown; October 27, 1930, January 17, 2026) was an American mathematician.
View the Source Madhava of Sangamagrama (Wikipedia)
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Mādhava of Sangamagrāma (Mādhavan) () was an Indian mathematician and astronomer (jyotirvid) who founded the Kerala school of astronomy and mathematics.
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Friedrich Ludwig Gottlob Frege (; ; 8 November 1848-26 July 1925) was a German philosopher, logician, and mathematician.
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WikipediaHas Scientist: Bertrand Russell, Lead sentenceQuote, Has Scientist: Bertrand Russell, Lead sentence
Bertrand Arthur William Russell, 3rd Earl Russell (18 May 1872-2 February 1970), was an English philosopher, logician, mathematician, and social reformer.
View the Source Emil Post (Wikipedia)
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Emil Leon Post (; February 11, 1897, April 21, 1954) was an American mathematician and logician.
View the Source Abraham Wald (Wikipedia)
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Abraham Wald (; ; , ;, ) was a Hungarian-American mathematician and statistician who contributed to decision theory, geometry and econometrics, and founded the field of sequential analysis.
View the Source Giuseppe Piazzi (Wikipedia)
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Giuseppe Piazzi (16 July 1746-22 July 1826) was an Italian Catholic priest of the Theatine order, mathematician, and astronomer.
View the Source John Couch Adams (Wikipedia)
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John Couch Adams ( ; 5 June 1819-21 January 1892) was a British mathematician and astronomer.
View the Source Wikipedia: Simon Newcomb
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Simon Newcomb (March 12, 1835, July 11, 1909) was a Canadian-American astronomer, applied mathematician, and autodidactic polymath.
View the Source Liu Hui, Wikipedia
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Liu Hui () was a Chinese mathematician who published a commentary in 263 CE on Jiu Zhang Suan Shu (The Nine Chapters on the Mathematical Art).
View the Source Gerolamo Cardano, Wikipedia
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Gerolamo Cardano (; also Girolamo or Geronimo; ; ; 24 September 1501, 21 September 1576) was an Italian polymath whose interests and proficiencies ranged through those of mathematician, physician, biologist, physicist, chemist, astrologer, astronomer, philosopher, music theorist, writer, and
View the Source Arthur Cayley, Wikipedia
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Arthur Cayley (; 16 August 1821-26 January 1895) was an English mathematician who worked mostly on algebra.
View the Source George Boole, Wikipedia
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George Boole ( ; 2 November 1815-8 December 1864) was an English mathematician and philosopher often credited with revolutionizing logic by transforming it from a philosophical study of language into a mathematical system of algebraic equations using binary values and logical operators.
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Karl Theodor Wilhelm Weierstrass (; ; 31 October 1815-19 February 1897) was a German mathematician often cited as the "father of modern analysis". Despite leaving university without a degree, he studied mathematics and trained as a school teacher, eventually teaching mathematics, physics, botany
View the Source Wikipedia: Richard Dedekind
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Julius Wilhelm Richard Dedekind (; ; 6 October 1831-12 February 1916) was a German mathematician who made important contributions to number theory, abstract algebra (particularly ring theory), and the axiomatic foundations of arithmetic.
View the Source Wikipedia: Henri Lebesgue
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Henri Léon Lebesgue (; ; June 28, 1875, July 26, 1941) was a French mathematician known for his theory of integration, which was a generalization of the 17th-century concept of integration-summing the area between an axis and the curve of a function defined for that axis.
View the Source Wikipedia: Felix Klein
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Felix Christian Klein (; ; 25 April 1849-22 June 1925) was a German mathematician, mathematics educator and historian of mathematics, known for his work in group theory, complex analysis, non-Euclidean geometry, and the associations between geometry and group theory.
View the Source Wikipedia: Hermann Minkowski
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Hermann Minkowski (22 June 1864-12 January 1909) was a mathematician and professor at the University of Königsberg, ETH Zürich, and the University of Göttingen, described variously as German, Polish, Lithuanian-German, or Russian.
View the Source Wikipedia: Sophus Lie
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Marius Sophus Lie ( ; ; 17 December 1842-18 February 1899) was a Norwegian mathematician.
View the Source Peter Gustav Lejeune Dirichlet (Wikipedia)
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Johann Peter Gustav Lejeune Dirichlet (; ; 13 February 1805-5 May 1859) was a German mathematician.
View the Source Giuseppe Peano (Wikipedia)
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Giuseppe Peano (; ; 27 August 1858-20 April 1932) was an Italian mathematician and glottologist.
View the Source Stephen Cole Kleene (Wikipedia)
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Stephen Cole Kleene ( ; January 5, 1909, January 25, 1994) was an American mathematician and logician.
View the Source Bernard Bolzano (Wikipedia)
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Bernard Bolzano (, ; ; ; born Bernardus Placidus Johann Nepomuk Bolzano; 5 October 1781-18 December 1848) was a Bohemian mathematician, logician, philosopher, theologian and Catholic priest of Italian extraction, also known for his liberal views.
View the Source Richard Hamming, Wikipedia
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Richard Wesley Hamming (February 11, 1915, January 7, 1998) was an American mathematician whose work had many implications for computer engineering and telecommunications.
View the Source Stephen Cook, Wikipedia
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Stephen Arthur Cook (born December 14, 1939) is an American-Canadian computer scientist and mathematician who has made significant contributions to the fields of complexity theory and proof complexity.
View the Source Michael Fisher (Wikipedia)
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Michael Ellis Fisher (3 September 1931-26 November 2021) was an English physicist, as well as chemist and mathematician, known for his many seminal contributions
View the Source James Lighthill (Wikipedia)
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Sir Michael James Lighthill (23 January 1924-17 July 1998) was a British applied mathematician, known for his pioneering work in the field of aeroacoustics and for writing the Lighthill report in 1973, which pessimistically stated that "In no part of the field (of AI) have the discoveries made so
View the Source Leopold Kronecker (Wikipedia)
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Leopold Kronecker (; 7 December 1823-29 December 1891) was a German mathematician who worked on number theory, abstract algebra and logic, and criticized Georg Cantor's work on set theory.
View the Source Radhanath Sikdar (Wikipedia)
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Radhanath Sikdar (; 5 October 1813-17 May 1870) was an Indian mathematician and social reformer.
View the Source Hua Luogeng (Wikipedia)
Has Scientist: Hua Luogeng, Lead sentenceQuote, Has Scientist: Hua Luogeng, Lead sentence
Hua Luogeng or Hua Loo-Keng (; 12 November 1910-12 June 1985) was a Chinese mathematician and politician famous for his contributions to number theory and for his role as the leader of mathematics research and education in the People's Republic of China.
View the Source Ashutosh Mukherjee (Wikipedia)
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Sir Ashutosh Mukherjee (anglicised, originally Asutosh Mukhopadhyay, also anglicised to Asutosh Mookerjee; 29 June 1864-25 May 1924) was an Indian mathematician, lawyer, jurist, judge, educator, and institution builder.
View the Source Stephen Shing-Toung Yau (Wikipedia)
Has Scientist: Stephen Shing-Toung Yau, Lead sentenceQuote, Has Scientist: Stephen Shing-Toung Yau, Lead sentence
Stephen Shing-Toung Yau (; born 1952) is a Chinese-American mathematician.
View the Source Anatoli Vitushkin (Wikipedia)
WikipediaHas Scientist: Anatoli Vitushkin, Lead sentenceQuote, Has Scientist: Anatoli Vitushkin, Lead sentence
Anatoli Georgievich Vitushkin () (June 25, 1931, May 9, 2004) was a Soviet mathematician noted for his work on analytic capacity and other parts of mathematical analysis.
View the Source Sergei Adian (Wikipedia)
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Sergei Ivanovich Adian, also Adyan (; ; 1 January 1931-5 May 2020), was a Soviet and Armenian mathematician.
View the Source Zhu Xiping (Wikipedia)
Has Scientist: Zhu Xiping, Lead sentenceQuote, Has Scientist: Zhu Xiping, Lead sentence
Zhu Xiping (born 1962 in Shixing, Guangdong) is a Chinese mathematician.
View the Source Hans Momsen (Wikipedia)
Has Scientist: Hans Momsen, Lead sentenceQuote, Has Scientist: Hans Momsen, Lead sentence
Hans Momsen (born 23 October 1735, Fahretoft, 13 September 1811, ibidem) was a North Frisian farmer, mathematician and astronomer who lived in the Duchy of Schleswig in Denmark-Norway.
View the Source Johannes Acronius Frisius (Wikipedia)
Has Scientist: Johannes Acronius Frisius, Lead sentenceQuote, Has Scientist: Johannes Acronius Frisius, Lead sentence
Johannes Acronius Frisius (1520-18 October 1564) was a Dutch medical doctor and mathematician of the 16th century.
View the Source Md. Hanifuddin Miah (Wikipedia)
Has Scientist: Md. Hanifuddin Miah, Lead sentenceQuote, Has Scientist: Md. Hanifuddin Miah, Lead sentence
Md. Hanifuddin Miah (1 November 1929-11 March 2007) was a Bangladeshi physicist and mathematician.
View the Source Ilan Amit (Wikipedia)
Has Scientist: Ilan Amit, Lead sentenceQuote, Has Scientist: Ilan Amit, Lead sentence
Ilan Amit (;, ) was an Israeli mathematician, spiritual philosopher, and defence consultant.
View the Source Atle Selberg (Wikipedia)
Has Scientist: Atle Selberg, Lead sentenceQuote, Has Scientist: Atle Selberg, Lead sentence
Atle Selberg (14 June 1917-6 August 2007) was a Norwegian mathematician known for his work in analytic number theory and the theory of automorphic forms, and in particular for bringing them into relation with spectral theory.
View the Source Charles Fefferman (Wikipedia)
Has Scientist: Charles Fefferman, Lead sentenceQuote, Has Scientist: Charles Fefferman, Lead sentence
Charles Louis Fefferman (born April 18, 1949) is an American mathematician at Princeton University, where he is currently the Herbert E. Jones, Jr.
View the Source David Mumford (Wikipedia)
Has Scientist: David Mumford, Lead sentenceQuote, Has Scientist: David Mumford, Lead sentence
David Bryant Mumford (born 11 June 1937) is an American mathematician known for his work in algebraic geometry and then for research into vision and pattern theory.
View the Source Enrico Bombieri (Wikipedia)
Has Scientist: Enrico Bombieri, Lead sentenceQuote, Has Scientist: Enrico Bombieri, Lead sentence
Enrico Bombieri (born 26 November 1940) is an Italian mathematician, known for his work in analytic number theory, Diophantine geometry, complex analysis, and group theory.
View the Source Gerd Faltings (Wikipedia)
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Gerd Faltings (; born 28 July 1954) is a German mathematician known for his work in arithmetic geometry.
View the Source Jean-Pierre Serre (Wikipedia)
WikipediaHas Scientist: Jean-Pierre Serre, Lead sentenceQuote, Has Scientist: Jean-Pierre Serre, Lead sentence
Jean-Pierre Serre (; born 15 September 1926) is a French mathematician who has made contributions to algebraic topology, algebraic geometry and algebraic number theory.
View the Source John Milnor (Wikipedia)
Has Scientist: John Milnor, Lead sentenceQuote, Has Scientist: John Milnor, Lead sentence
John Willard Milnor (born February 20, 1931) is an American mathematician known for his work in differential topology, algebraic K-theory and low-dimensional holomorphic dynamical systems.
View the Source Lars Ahlfors (Wikipedia)
WikipediaHas Scientist: Lars Ahlfors, Lead sentenceQuote, Has Scientist: Lars Ahlfors, Lead sentence
Lars Valerian Ahlfors (18 April 1907-11 October 1996) was a Finnish mathematician and the leading figure in complex analysis during the 20th century.
View the Source Manjul Bhargava (Wikipedia)
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Manjul Bhargava (born 8 August 1974) is an Indian Canadian-American mathematician.
View the Source Simon Donaldson (Wikipedia)
Has Scientist: Simon Donaldson, Lead sentenceQuote, Has Scientist: Simon Donaldson, Lead sentence
Sir Simon Kirwan Donaldson (born 20 August 1957) is an English mathematician known for his work on the topology of smooth (differentiable) four-dimensional manifolds, Donaldson-Thomas theory, and his contributions to Kähler geometry.
View the Source Stephen Smale (Wikipedia)
Has Scientist: Stephen Smale, Lead sentenceQuote, Has Scientist: Stephen Smale, Lead sentence
Stephen Smale (born July 15, 1930) is an American mathematician, known for his research in topology, dynamical systems and mathematical economics.
View the Source Timothy Gowers (Wikipedia)
Has Scientist: Timothy Gowers, Lead sentenceQuote, Has Scientist: Timothy Gowers, Lead sentence
Sir William Timothy Gowers, (; born 20 November 1963) is a British mathematician.
View the Source Vaughan Jones (Wikipedia)
Has Scientist: Vaughan Jones, Lead sentenceQuote, Has Scientist: Vaughan Jones, Lead sentence
Sir Vaughan Frederick Randal Jones (31 December 19526 September 2020) was a New Zealand mathematician known for his work on von Neumann algebras and knot polynomials.
View the Source William Thurston (Wikipedia)
Has Scientist: William Thurston, Lead sentenceQuote, Has Scientist: William Thurston, Lead sentence
William Paul Thurston (October 30, 1946August 21, 2012) was an American mathematician.
View the Source Martin Hairer (Wikipedia)
Has Scientist: Martin Hairer, Lead sentenceQuote, Has Scientist: Martin Hairer, Lead sentence
Sir Martin Hairer KBE FRS (born 14 November 1975) is an Austrian-British mathematician and mathematical physicist working in the field of stochastic analysis, in particular stochastic partial differential equations.
View the Source Vladimir Drinfeld (Wikipedia)
Has Scientist: Vladimir Drinfeld, Lead sentenceQuote, Has Scientist: Vladimir Drinfeld, Lead sentence
Vladimir Gershonovich Drinfeld (; born February 14, 1954), surname also romanized as Drinfel'd, is a mathematician from Ukraine, who immigrated to the US and works at the University of Chicago.
View the Source Jean Bourgain (Wikipedia)
Has Scientist: Jean Bourgain, Lead sentenceQuote, Has Scientist: Jean Bourgain, Lead sentence
Jean Louis, baron Bourgain (;, ) was a Belgian mathematician.
View the Source Richard Borcherds (Wikipedia)
Has Scientist: Richard Borcherds, Lead sentenceQuote, Has Scientist: Richard Borcherds, Lead sentence
Richard Ewen Borcherds (; born 29 November 1959) is a British mathematician currently working in quantum field theory.
View the Source Maxim Kontsevich (Wikipedia)
Has Scientist: Maxim Kontsevich, Lead sentenceQuote, Has Scientist: Maxim Kontsevich, Lead sentence
Maxim Lvovich Kontsevich (, ; born 25 August 1964) is a Russian and French mathematician and mathematical physicist.
View the Source Curtis T. McMullen (Wikipedia)
WikipediaHas Scientist: Curtis T. McMullen, Infobox, fieldsQuote, Has Scientist: Curtis T. McMullen, Infobox, fields
Infobox fields: Mathematics
View the Source Laurent Lafforgue (Wikipedia)
Has Scientist: Laurent Lafforgue, Infobox, fieldsQuote, Has Scientist: Laurent Lafforgue, Infobox, fields
Infobox fields: Mathematics
View the Source Vladimir Voevodsky (Wikipedia)
Has Scientist: Vladimir Voevodsky, Infobox, fieldsQuote, Has Scientist: Vladimir Voevodsky, Infobox, fields
Infobox fields: Mathematics
View the Source Andrei Okounkov (Wikipedia)
Has Scientist: Andrei Okounkov, Infobox, fieldsQuote, Has Scientist: Andrei Okounkov, Infobox, fields
Infobox fields: Mathematics
View the Source Wendelin Werner (Wikipedia)
Has Scientist: Wendelin Werner, Infobox, fieldsQuote, Has Scientist: Wendelin Werner, Infobox, fields
Infobox fields: Mathematics
View the Source Elon Lindenstrauss (Wikipedia)
Has Scientist: Elon Lindenstrauss, Infobox, fieldsQuote, Has Scientist: Elon Lindenstrauss, Infobox, fields
Infobox fields: Mathematics
View the Source Stanislav Smirnov (Wikipedia)
Has Scientist: Stanislav Smirnov, Infobox, fieldsQuote, Has Scientist: Stanislav Smirnov, Infobox, fields
Infobox fields: Mathematics
View the Source Wikipedia: Alessio Figalli
WikipediaHas Scientist: Alessio Figalli, Infobox, fieldsQuote, Has Scientist: Alessio Figalli, Infobox, fields
Infobox fields: Mathematics
View the Source Hugo Duminil-Copin (Wikipedia)
Has Scientist: Hugo Duminil-Copin, Infobox, fieldsQuote, Has Scientist: Hugo Duminil-Copin, Infobox, fields
Infobox fields: Mathematics
View the Source Hong Wang (Wikipedia)
Has Scientist: Hong Wang, Infobox, fieldsQuote, Has Scientist: Hong Wang, Infobox, fields
Infobox fields: Mathematics
View the Source Jacob Tsimerman (Wikipedia)
Has Scientist: Jacob Tsimerman, Infobox, fieldsQuote, Has Scientist: Jacob Tsimerman, Infobox, fields
Infobox fields: Mathematics
View the Source Jesse Douglas (Wikipedia)
Has Scientist: Jesse Douglas, Infobox, fieldsQuote, Has Scientist: Jesse Douglas, Infobox, fields
Infobox fields: Calculus of variations ; Differential geometry
View the Source John Pardon (Wikipedia)
Has Scientist: John Pardon, Infobox, fieldsQuote, Has Scientist: John Pardon, Infobox, fields
Infobox fields: Mathematics
View the Source Michael Freedman (Wikipedia)
Has Scientist: Michael Freedman, Infobox, fieldsQuote, Has Scientist: Michael Freedman, Infobox, fields
Infobox fields: Mathematics
View the Source Yu Deng (Wikipedia)
Has Scientist: Yu Deng, Infobox, fieldsQuote, Has Scientist: Yu Deng, Infobox, fields
Infobox fields: Mathematics
View the Source Daniel Quillen (Wikipedia)
Has Scientist: Daniel Quillen, Lead sentenceQuote, Has Scientist: Daniel Quillen, Lead sentence
Daniel Gray Quillen (June 22, 1940, April 30, 2011) was an American mathematician.
View the Source Grigory Margulis (Wikipedia)
Has Scientist: Grigory Margulis, Lead sentenceQuote, Has Scientist: Grigory Margulis, Lead sentence
Grigory Aleksandrovich Margulis (, first name often given as Gregory, Grigori or Gregori; born February 24, 1946) is a Russian-American mathematician known for his work on lattices in Lie groups, and the introduction of methods from ergodic theory into diophantine approximation.
View the Source Jean-Christophe Yoccoz (Wikipedia)
Has Scientist: Jean-Christophe Yoccoz, Lead sentenceQuote, Has Scientist: Jean-Christophe Yoccoz, Lead sentence
Jean-Christophe Yoccoz (29 May 1957-3 September 2016) was a French mathematician.
View the Source John G. Thompson (Wikipedia)
Has Scientist: John G. Thompson, Lead sentenceQuote, Has Scientist: John G. Thompson, Lead sentence
John Griggs Thompson (born October 13, 1932) is an American mathematician at the University of Florida noted for his work in the field of finite groups.
View the Source Klaus Roth (Wikipedia)
Has Scientist: Klaus Roth, Lead sentenceQuote, Has Scientist: Klaus Roth, Lead sentence
Klaus Friedrich Roth (29 October 1925-10 November 2015) was a German-born British mathematician who won the Fields Medal for proving Roth's theorem on the Diophantine approximation of algebraic numbers.
View the Source Pierre-Louis Lions (Wikipedia)
Has Scientist: Pierre-Louis Lions, Lead sentenceQuote, Has Scientist: Pierre-Louis Lions, Lead sentence
Pierre-Louis Lions (; born 11 August 1956) is a French mathematician.
View the Source Gerrit van der Mey (Wikipedia)
Has Scientist: Gerrit van der Mey, Lead sentenceQuote, Has Scientist: Gerrit van der Mey, Lead sentence
Gerrit van der Mey (5 January 1914November 2002) was a deafblind Dutch mathematician.
View the Source Herbert A. Hauptman (Wikipedia)
Has Scientist: Herbert A. Hauptman, Lead sentenceQuote, Has Scientist: Herbert A. Hauptman, Lead sentence
Herbert Aaron Hauptman (February 14, 1917, October 23, 2011) was an American mathematician and Nobel laureate.
View the Source John Hasbrouck Van Vleck (Wikipedia)
Has Scientist: John Hasbrouck Van Vleck, Lead sentenceQuote, Has Scientist: John Hasbrouck Van Vleck, Lead sentence
John Hasbrouck Van Vleck (; March 13, 1899, October 27, 1980) was an American physicist and mathematician who won the Nobel Prize in Physics in 1977 for his contributions to the understanding of the behavior of electronic magnetism in solids.
View the Source Otto von Guericke (Wikipedia)
Has Scientist: Otto von Guericke, Lead sentenceQuote, Has Scientist: Otto von Guericke, Lead sentence
Otto von Guericke ( , ; ; spelled Gericke until 1666;, ) was a German scientist, inventor, mathematician, and physicist.
View the Source Algorithm (Wikipedia)
WikipediaHas Theory: Algorithm, Lead sentenceQuote, Has Theory: Algorithm, Lead sentence
In mathematics and computer science, an algorithm ( ) is any well-defined set of instructions that when followed terminates after a finite number of steps that comprise a solution to a given computational problem.
View the Source Theorem (Wikipedia)
Has Theory: Theorem, Lead sentenceQuote, Has Theory: Theorem, Lead sentence
In mathematics and formal logic, a theorem is a statement that has been proven, or can be proven.
View the Source Number Theory (Wikipedia)
WikipediaHas Theory: Number Theory, Lead sentenceQuote, Has Theory: Number Theory, Lead sentence
Number theory is a branch of mathematics devoted primarily to the study of the integers and arithmetic functions.
View the Source James H. Wilkinson - Wikipedia
Has Scientist: James H. Wilkinson, Lead sentenceQuote, Has Scientist: James H. Wilkinson, Lead sentence
James Hardy Wilkinson FRS (27 September 1919-5 October 1986) was a prominent figure in the field of numerical analysis, a field at the boundary of applied mathematics and computer science particularly useful to physics and engineering.
View the Source Ibn Ghazi al-Miknasi (Wikipedia)
Has Scientist: Ibn Ghazi al-Miknasi, Lead sentenceQuote, Has Scientist: Ibn Ghazi al-Miknasi, Lead sentence
Abu Abdallah Muhammad b. Ahmad b. Muhammad Ibn Ghazi al-'Utmani al-Miknasi (1437-1513) was a Maghrebi scholar in the field of history, Islamic law, Arabic philology and mathematics.
View the Source André-Marie Ampère (Wikipedia)
WikipediaHas Scientist: André-Marie Ampère, LeadQuote, Has Scientist: André-Marie Ampère, Lead
was a French physicist and mathematician
View the Source Zu Chongzhi (Wikipedia)
WikipediaHas Scientist: Zu Chongzhi, LeadQuote, Has Scientist: Zu Chongzhi, Lead
was a Chinese astronomer, inventor, mathematician
View the Source John Napier, Wikipedia
Has Scientist: John Napier, LeadQuote, Has Scientist: John Napier, Lead
was a Scottish landowner known as a mathematician
View the Source Ulugh Beg (Wikipedia)
Has Scientist: Ulugh Beg, LeadQuote, Has Scientist: Ulugh Beg, Lead
was a Timurid sultan, as well as an astronomer and mathematician
View the Source Ibn al-Yasamin (Wikipedia)
Has Scientist: Ibn al-Yasamin, LeadQuote, Has Scientist: Ibn al-Yasamin, Lead
was a Maghrebi mathematician
View the Source Kunihiko Kodaira (Wikipedia)
Has Scientist: Kunihiko Kodaira, LeadQuote, Has Scientist: Kunihiko Kodaira, Lead
was a Japanese mathematician
View the Source René Thom (Wikipedia)
Has Scientist: René Thom, LeadQuote, Has Scientist: René Thom, Lead
was a French mathematician
View the Source Ngô Bảo Châu (Wikipedia)
Has Scientist: Ngô Bao Chau, LeadQuote, Has Scientist: Ngô Bao Chau, Lead
is a Vietnamese-French mathematician
View the Source Cédric Villani (Wikipedia)
Has Scientist: Cédric Villani, LeadQuote, Has Scientist: Cédric Villani, Lead
is a French mathematician
View the Source Heisuke Hironaka (Wikipedia)
Has Scientist: Heisuke Hironaka, LeadQuote, Has Scientist: Heisuke Hironaka, Lead
was a Japanese mathematician
View the Source Lars Hörmander (Wikipedia)
Has Scientist: Lars Hörmander, LeadQuote, Has Scientist: Lars Hörmander, Lead
was a Swedish mathematician
View the Source Shigefumi Mori (Wikipedia)
Has Scientist: Shigefumi Mori, LeadQuote, Has Scientist: Shigefumi Mori, Lead
is a Japanese mathematician
View the Source Thomas Godfrey (inventor) (Wikipedia)
Has Scientist: Thomas Godfrey, LeadQuote, Has Scientist: Thomas Godfrey, Lead
was a glazier and self-taught mathematician
View the Source Alan Baker (mathematician) (Wikipedia)
Has Scientist: Alan Baker, LeadQuote, Has Scientist: Alan Baker, Lead
was an English mathematician
View the Source James Maynard (mathematician) (Wikipedia)
Has Scientist: James Maynard, LeadQuote, Has Scientist: James Maynard, Lead
is an English mathematician
View the Source Sergei Novikov (mathematician) (Wikipedia)
Has Scientist: Sergei Novikov, LeadQuote, Has Scientist: Sergei Novikov, Lead
was a Soviet and Russian mathematician
View the Source Omar Khayyam (Wikipedia)
Has Scientist: Omar Khayyam, Lead, sentence 1Quote, Has Scientist: Omar Khayyam, Lead, sentence 1
Omar Khayyam (1048-1131) was a Persian poet and polymath, known for his contributions to mathematics, astronomy, philosophy, and Persian literature.
View the Source Nasir al-Din al-Tusi (Wikipedia)
Has Scientist: Nasir al-Din al-Tusi, Lead, sentence 1Quote, Has Scientist: Nasir al-Din al-Tusi, Lead, sentence 1
Muḥammad ibn Muḥammad ibn al-Ḥasan al-Ṭūsī (1201-1274), also known as Naṣīr al-Dīn al-Ṭūsī (Arabic: نصیر الدین الطوسی; Persian: نصیر الدین طوسی) or simply as (al-)Tusi, was a Persian polymath, architect, philosopher, physician, scientist, and theologian.
View the Source Al-Kindi (Wikipedia)
Has Scientist: Al-Kindi, Lead, sentence 1Quote, Has Scientist: Al-Kindi, Lead, sentence 1
Abū Yūsuf Yaʻqūb ibn ʼIsḥāq aṣ-Ṣabbāḥ al-Kindī (; Arabic: أبو يوسف يعقوب بن إسحاق الصبّاح الكندي; Latin: Alkindus; c. 801-873 AD) was a Mesopotamian Arab polymath who was active as a philosopher, mathematician, physician, and music theorist.
View the Source Su Song (Wikipedia)
WikipediaHas Scientist: Su Song, Lead, sentence 2Quote, Has Scientist: Su Song, Lead, sentence 2
He excelled in numerous fields including but not limited to mathematics, astronomy, cartography, geography, metallurgy, mechanical engineering, hydraulic engineering, poetry, and statesmanship.
View the Source Varāhamihira (Wikipedia)
Has Scientist: Varahamihira, Lead, sentence 1Quote, Has Scientist: Varahamihira, Lead, sentence 1
Varāhamihira (c. 20/21 March 505, c. 587), also called Varāha or Mihira, was an ancient Indian mathematician and astronomer who lived in Ujjain (ancient Avanti region in present-day Madhya Pradesh, India.
View the Source Bhaskara II (Wikipedia)
WikipediaHas Scientist: Bhaskara II, Lead, sentence 1Quote, Has Scientist: Bhaskara II, Lead, sentence 1
Bhāskara II ([bʰɑːskərə]; c. 1114-1185), commonly known as Bhāskarāchārya (lit. 'Bhāskara the teacher'), was an Indian polymath, mathematician, and astronomer whose works represent the zenith of the classical Siddhānta school of Jyotiṣa (astronomy and applied mathematics-one of the six Vedāngas or auxiliary disciplines of Vedic scholarship).
View the Source Thābit ibn Qurra (Wikipedia)
Has Scientist: Thabit ibn Qurra, Lead, sentence 1Quote, Has Scientist: Thabit ibn Qurra, Lead, sentence 1
Thābit ibn Qurra (full name: Abū al-Ḥasan Ṯābit ibn Qurra ibn Zahrūn al-Ḥarrānī al-Ṣābiʾ, Arabic: أبو الحسن ثابت بن قرة بن زهرون الحراني الصابئ, Latin: Thebit/Thebith/Tebit; 826 or 836, February 19, 901), was a pagan Sabian scholar known for his work in mathematics, medicine, astronomy, and translation.
View the Source Pythagoras, Wikipedia
Has Scientist: Pythagoras, Lead, sentence 4Quote, Has Scientist: Pythagoras, Lead, sentence 4
In antiquity, Pythagoras was credited with mathematical and scientific discoveries, such as the Pythagorean theorem, Pythagorean tuning, the five regular solids, the theory of proportions, the sphericity of the Earth, the identity of the morning and evening stars as the planet Venus, and the division of the globe into five climatic zones.
View the Source Apollonius of Perga, Wikipedia
Has Scientist: Apollonius of Perga, Lead, sentence 1Quote, Has Scientist: Apollonius of Perga, Lead, sentence 1
Apollonius of Perga (Ancient Greek: Ἀπολλώνιος ὁ Περγαῖος Apollṓnios ho Pergaîos; c. 240 BC, c. 190 BC) was an ancient Greek geometer and astronomer known for his work on conic sections.
View the Source Shen Kuo (Wikipedia)
WikipediaHas Scientist: Shen Kuo, Infobox: fieldQuote, Has Scientist: Shen Kuo, Infobox: field
Agronomy, Astronomy, Archaeology, Anatomy, Antiquarianism, Mathematics, Pharmacology, Medical science, Entomology, Mineralogy, Music, Geomorphology, Sedimentology, Optical engineering, Soil science, Encyclopedism, Geomagnetics, Optics, Hydraulics, Hydraulic engineering, Mechanical engineering, Metallurgy, Metaphysics, Meteorology, Climatology, Cartography, Botany, Zoology, Economics, Finance, Military strategy, Ethnography, Divination, Art criticism, Philosophy, Poetry, Politics, Public Administration
View the Source Axiom (Wikipedia)
Has Theory: Axiom, Lead, sentence 1Quote, Has Theory: Axiom, Lead, sentence 1
An axiom, postulate, or assumption, is a statement that is taken to be true, to serve as a premise or starting point for further reasoning and arguments.
View the Source Thales of Miletus (Wikipedia)
WikipediaHas Scientist: Thales of Miletus, Lead section, second paragraphQuote, Has Scientist: Thales of Miletus, Lead section, second paragraph
He is thus otherwise referred to as the first to have engaged in mathematics, science, and deductive reasoning.
View the Source Adrien-Marie Legendre (Wikipedia)
WikipediaHas Scientist: Adrien-Marie Legendre, Lead section, second sentenceQuote, Has Scientist: Adrien-Marie Legendre, Lead section, second sentence
Well-known and important concepts such as the Legendre polynomials and Legendre transformation are named after him.
View the Source Open Questions (1 open question)
Does P equal NP?
The P versus NP problem asks whether every problem whose solution can be quickly checked can also be quickly solved. It has resisted proof or disproof since it was formalized in the early 1970s and is one of the seven Millennium Prize Problems; a solution in either direction would reshape cryptography, optimization and much of theoretical computer science.
What would resolve this A rigorous proof that P equals NP, exhibiting a general fast algorithm for an NP-complete problem, or a proof that P does not equal NP, most likely by establishing a genuine computational barrier no such algorithm can cross.
Theoretical computer science and mathematical logicWikipedia: Mathematics
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