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Felix Klein

Index 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. [1]

147 relations: Abstract algebra, Ackermann–Teubner Memorial Award, Adolf Hurwitz, Adolf Weiler, Alexander Ostrowski, Alexander von Brill, Alexander Witting, Alfred Clebsch, Algebraic geometry, American Mathematical Monthly, Analytic geometry, Arnold Sommerfeld, Arthur Cayley, Automorphic function, Beltrami–Klein model, Berlin, Bernhard Riemann, Bulletin of the American Mathematical Society, Calculus, Camille Jordan, Carl David Tolmé Runge, Carl Gustav Axel Harnack, Cayley–Klein metric, Charles Hermite, Complex analysis, Complex plane, Conformal map, Copley Medal, Crelle's Journal, David E. Rowe, David Eugene Smith, David Hilbert, David Mumford, Düsseldorf, De Morgan Medal, Dictionary of Scientific Biography, Differential equation, Eduard Study, Edward Burr Van Vleck, Edward Kasner, Erlangen program, Erwin Finlay-Freundlich, Euclidean geometry, Euclidean space, Federigo Enriques, Felix Klein Protocols, Ferdinand von Lindemann, Fluid dynamics, Franco-Prussian War, Frank Nelson Cole, ..., Free State of Prussia, Friedrich Dingeldey, Friedrich Engel (mathematician), Function (mathematics), Göttingen, Geheimrat, Geometry, Georg Wilhelm Friedrich Hegel, German Confederation, Germany, Given name, Grace Chisholm Young, Gregorio Ricci-Curbastro, Group action, Group theory, Gymnasium (school), Gyroscope, Henri Poincaré, Henry Burchard Fine, Henry Seely White, Hermann Rothe, Homography, Humboldt University of Berlin, Icosahedral symmetry, Icosahedron, Indra's Pearls (book), International Commission on Mathematical Instruction, International Congress of Mathematicians, Internet Archive, Invariant theory, Ivor Grattan-Guinness, J-invariant, Johns Hopkins University Press, Julio Rey Pastor, Julius Plücker, Karl Rohn, Karl Weierstrass, Kingdom of Prussia, Klein bottle, Klein quartic, Klein's encyclopedia, Kummer surface, Leipzig, Leipzig University, Leopold Kronecker, Line coordinates, List of things named after Felix Klein, London Mathematical Society, Ludwig Bieberbach, Luigi Bianchi, Mathematical physics, Mathematician, Mathematics, Mathematische Annalen, Max Brückner, Max Planck, Maxime Bôcher, Möbius strip, Mechanics, Mellen Woodman Haskell, Metric space, Modular group, Munich, Non-Euclidean geometry, Notices of the American Mathematical Society, Number theory, Order (group theory), Oskar Bolza, Paris, Philipp Furtwängler, Potential theory, Projective space, Province of Hanover, Prussia, Prussian Army, PSL(2,7), Real analysis, Rhine Province, Riemann surface, Robert Fricke, Royal Netherlands Academy of Arts and Sciences, Royal Society, Rudolf Lipschitz, Sophus Lie, Symmetry group, Technical University of Munich, Tessellation, Uniformization theorem, University of Bonn, University of Erlangen-Nuremberg, University of Göttingen, University of Königsberg, Virgil Snyder, W-curve, Walther von Dyck, Weimar Republic, World's Columbian Exposition. Expand index (97 more) »

Abstract algebra

In algebra, which is a broad division of mathematics, abstract algebra (occasionally called modern algebra) is the study of algebraic structures.

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Ackermann–Teubner Memorial Award

The Alfred Ackermann–Teubner Memorial Award for the Promotion of Mathematical Sciences recognized work in mathematical analysis.

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Adolf Hurwitz

Adolf Hurwitz (26 March 1859 – 18 November 1919) was a German mathematician who worked on algebra, analysis, geometry and number theory.

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Adolf Weiler

Adolf Weiler (1851–1916) was a Swiss mathematician.

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Alexander Ostrowski

Alexander Markowich Ostrowski (Олександр Маркович Островський; Алекса́ндр Ма́ркович Остро́вский; 25 September 1893, in Kiev, Russian Empire – 20 November 1986, in Montagnola, Lugano, Switzerland) was a mathematician.

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Alexander von Brill

Alexander Wilhelm von Brill (20 September 1842 – 18 June 1935) was a German mathematician.

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Alexander Witting

Carl Johann Adolf Alexander Witting (18 December 1861 – 29 November 1946) was a German mathematician.

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Alfred Clebsch

Rudolf Friedrich Alfred Clebsch (19 January 1833 – 7 November 1872) was a German mathematician who made important contributions to algebraic geometry and invariant theory.

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Algebraic geometry

Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate polynomials.

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American Mathematical Monthly

The American Mathematical Monthly is a mathematical journal founded by Benjamin Finkel in 1894.

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Analytic geometry

In classical mathematics, analytic geometry, also known as coordinate geometry or Cartesian geometry, is the study of geometry using a coordinate system.

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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.

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Arthur Cayley

Arthur Cayley F.R.S. (16 August 1821 – 26 January 1895) was a British mathematician.

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Automorphic function

In mathematics, an automorphic function is a function on a space that is invariant under the action of some group, in other words a function on the quotient space.

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Beltrami–Klein model

In geometry, the Beltrami–Klein model, also called the projective model, Klein disk model, and the Cayley–Klein model, is a model of hyperbolic geometry in which points are represented by the points in the interior of the unit disk (or n-dimensional unit ball) and lines are represented by the chords, straight line segments with ideal endpoints on the boundary sphere.

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Berlin

Berlin is the capital and the largest city of Germany, as well as one of its 16 constituent states.

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Bernhard Riemann

Georg Friedrich Bernhard Riemann (17 September 1826 – 20 July 1866) was a German mathematician who made contributions to analysis, number theory, and differential geometry.

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Bulletin of the American Mathematical Society

The Bulletin of the American Mathematical Society is a quarterly mathematical journal published by the American Mathematical Society.

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Calculus

Calculus (from Latin calculus, literally 'small pebble', used for counting and calculations, as on an abacus), is the mathematical study of continuous change, in the same way that geometry is the study of shape and algebra is the study of generalizations of arithmetic operations.

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Camille Jordan

Marie Ennemond Camille Jordan (5 January 1838 – 22 January 1922) was a French mathematician, known both for his foundational work in group theory and for his influential Cours d'analyse.

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Carl David Tolmé Runge

Carl David Tolmé Runge (30 August 1856 – 3 January 1927) was a German mathematician, physicist, and spectroscopist.

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Carl Gustav Axel Harnack

Carl Gustav Axel von Harnack (7 May 1851, Tartu – 3 April 1888, Dresden) was a German mathematician who contributed to potential theory.

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Cayley–Klein metric

In mathematics, a Cayley–Klein metric is a metric on the complement of a fixed quadric in a projective space is defined using a cross-ratio.

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Charles Hermite

Prof Charles Hermite FRS FRSE MIAS (24 December 1822 – 14 January 1901) was a French mathematician who did research concerning number theory, quadratic forms, invariant theory, orthogonal polynomials, elliptic functions, and algebra.

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Complex analysis

Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates functions of complex numbers.

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Complex plane

In mathematics, the complex plane or z-plane is a geometric representation of the complex numbers established by the real axis and the perpendicular imaginary axis.

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Conformal map

In mathematics, a conformal map is a function that preserves angles locally.

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Copley Medal

The Copley Medal is a scientific award given by the Royal Society, for "outstanding achievements in research in any branch of science." It alternates between the physical and the biological sciences.

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Crelle's Journal

Crelle's Journal, or just Crelle, is the common name for a mathematics journal, the Journal für die reine und angewandte Mathematik (in English: Journal for Pure and Applied Mathematics).

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David E. Rowe

David E. Rowe (born August 11, 1950) is an American mathematician and historian.

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David Eugene Smith

David Eugene Smith (January 21, 1860 – July 29, 1944) was an American mathematician, educator, and editor.

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David Hilbert

David Hilbert (23 January 1862 – 14 February 1943) was a German mathematician.

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David Mumford

David Bryant Mumford (born 11 June 1937) is an American mathematician known for distinguished work in algebraic geometry, and then for research into vision and pattern theory.

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Düsseldorf

Düsseldorf (Low Franconian, Ripuarian: Düsseldörp), often Dusseldorf in English sources, is the capital city of the German state of North Rhine-Westphalia and the seventh most populous city in Germany. Düsseldorf is an international business and financial centre, renowned for its fashion and trade fairs.

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De Morgan Medal

The De Morgan Medal is a prize for outstanding contribution to mathematics, awarded by the London Mathematical Society.

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Dictionary of Scientific Biography

The Dictionary of Scientific Biography is a scholarly reference work that was published from 1970 through 1980.

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Differential equation

A differential equation is a mathematical equation that relates some function with its derivatives.

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Eduard Study

Eduard Study, more properly Christian Hugo Eduard Study (March 23, 1862 – January 6, 1930), was a German mathematician known for work on invariant theory of ternary forms (1889) and for the study of spherical trigonometry.

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Edward Burr Van Vleck

Edward Burr Van Vleck (June 7, 1863, Middletown, Connecticut – June 3, 1943, Madison, Wisconsin) was an American mathematician.

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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.

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Erlangen program

The Erlangen program is a method of characterizing geometries based on group theory and projective geometry.

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Erwin Finlay-Freundlich

Erwin Finlay-Freundlich FRSE FRAS (29 May 1885 – 24 July 1964) was a German astronomer, a pupil of Felix Klein.

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Euclidean geometry

Euclidean geometry is a mathematical system attributed to Alexandrian Greek mathematician Euclid, which he described in his textbook on geometry: the Elements.

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Euclidean space

In geometry, Euclidean space encompasses the two-dimensional Euclidean plane, the three-dimensional space of Euclidean geometry, and certain other spaces.

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Federigo Enriques

Abramo Giulio Umberto Federigo Enriques (5 January 1871 – 14 June 1946) was an Italian mathematician, now known principally as the first to give a classification of algebraic surfaces in birational geometry, and other contributions in algebraic geometry.

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Felix Klein Protocols

"The Felix Klein Protocols" is a collection of handwritten records of the Göttingen seminar lectures of Felix Klein and his school.

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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.

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Fluid dynamics

In physics and engineering, fluid dynamics is a subdiscipline of fluid mechanics that describes the flow of fluids - liquids and gases.

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Franco-Prussian War

The Franco-Prussian War or Franco-German War (Deutsch-Französischer Krieg, Guerre franco-allemande), often referred to in France as the War of 1870 (19 July 1871) or in Germany as 70/71, was a conflict between the Second French Empire of Napoleon III and the German states of the North German Confederation led by the Kingdom of Prussia.

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Frank Nelson Cole

Frank Nelson Cole (September 20, 1861 – May 26, 1926) was an American mathematician, born in Ashland, Massachusetts, and educated at Harvard, where he lectured on mathematics from 1885 to 1887.

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Free State of Prussia

The Free State of Prussia (Freistaat Preußen) was a German state formed after the abolition of the Kingdom of Prussia in the aftermath of the First World War.

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Friedrich Dingeldey

Friedrich Dingeldey (16 December 1859, Darmstadt – 24 September 1939, Darmstadt) was a German mathematician.

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Friedrich Engel (mathematician)

Friedrich Engel (December 26, 1861 – September 29, 1941) was a German mathematician.

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Function (mathematics)

In mathematics, a function was originally the idealization of how a varying quantity depends on another quantity.

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Göttingen

Göttingen (Low German: Chöttingen) is a university city in Lower Saxony, Germany.

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Geheimrat

Geheimrat was the title of the highest advising officials at the Imperial, royal or princely courts of the Holy Roman Empire, who jointly formed the Geheimer Rat reporting to the ruler.

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Geometry

Geometry (from the γεωμετρία; geo- "earth", -metron "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space.

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Georg Wilhelm Friedrich Hegel

Georg Wilhelm Friedrich Hegel (August 27, 1770 – November 14, 1831) was a German philosopher and the most important figure of German idealism.

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German Confederation

The German Confederation (Deutscher Bund) was an association of 39 German-speaking states in Central Europe, created by the Congress of Vienna in 1815 to coordinate the economies of separate German-speaking countries and to replace the former Holy Roman Empire, which had been dissolved in 1806.

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Germany

Germany (Deutschland), officially the Federal Republic of Germany (Bundesrepublik Deutschland), is a sovereign state in central-western Europe.

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Given name

A given name (also known as a first name, forename or Christian name) is a part of a person's personal name.

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Grace Chisholm Young

Grace Chisholm Young (née Chisholm) was an English mathematician.

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Gregorio Ricci-Curbastro

Gregorio Ricci-Curbastro (12January 1925) was an Italian mathematician born in Lugo di Romagna.

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Group action

In mathematics, an action of a group is a formal way of interpreting the manner in which the elements of the group correspond to transformations of some space in a way that preserves the structure of that space.

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Group theory

In mathematics and abstract algebra, group theory studies the algebraic structures known as groups.

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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.

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Gyroscope

A gyroscope (from Ancient Greek γῦρος gûros, "circle" and σκοπέω skopéō, "to look") is a device used for measuring or maintaining orientation and angular velocity.

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Henri Poincaré

Jules Henri Poincaré (29 April 1854 – 17 July 1912) was a French mathematician, theoretical physicist, engineer, and philosopher of science.

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Henry Burchard Fine

Henry Burchard Fine (September 14, 1858 – December 22, 1928) was an American university dean and mathematician.

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Henry Seely White

Henry Seely White (May 20, 1861 – May 20, 1943) was an American mathematician.

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Hermann Rothe

Hermann Rothe (28 December 1882 in Vienna – 18 December 1923 in Vienna) was an Austrian mathematician.

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Homography

In projective geometry, a homography is an isomorphism of projective spaces, induced by an isomorphism of the vector spaces from which the projective spaces derive.

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Humboldt University of Berlin

The Humboldt University of Berlin (Humboldt-Universität zu Berlin, abbreviated HU Berlin), is a university in the central borough of Mitte in Berlin, Germany.

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Icosahedral symmetry

A regular icosahedron has 60 rotational (or orientation-preserving) symmetries, and a symmetry order of 120 including transformations that combine a reflection and a rotation.

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Icosahedron

In geometry, an icosahedron is a polyhedron with 20 faces.

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Indra's Pearls (book)

Indra's Pearls: The Vision of Felix Klein is a geometry book written by David Mumford, Caroline Series and David Wright, and published by Cambridge University Press in 2002 and 2015.

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International Commission on Mathematical Instruction

The International Commission on Mathematical Instruction (ICMI) is a commission of the International Mathematical Union and is an internationally acting organization focussing on mathematics education.

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International Congress of Mathematicians

The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics.

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Internet Archive

The Internet Archive is a San Francisco–based nonprofit digital library with the stated mission of "universal access to all knowledge." It provides free public access to collections of digitized materials, including websites, software applications/games, music, movies/videos, moving images, and nearly three million public-domain books.

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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.

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Ivor Grattan-Guinness

Ivor Owen Grattan-Guinness (23 June 1941 – 12 December 2014) was a historian of mathematics and logic.

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J-invariant

In mathematics, Felix Klein's j-invariant or j function, regarded as a function of a complex variable τ, is a modular function of weight zero for defined on the upper half-plane of complex numbers.

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Johns Hopkins University Press

The Johns Hopkins University Press (also referred to as JHU Press or JHUP) is the publishing division of Johns Hopkins University.

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Julio Rey Pastor

Julio Rey Pastor (14 August 1888 – 21 February 1962) was a Spanish mathematician and historian of science.

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Julius Plücker

Julius Plücker (16 June 1801 – 22 May 1868) was a German mathematician and physicist.

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Karl Rohn

Karl Friedrich Wilhelm Rohn (January 25, 1855 in Schwanheim – August 4, 1920 in Leipzig) was a German mathematician, who studied geometry.

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Karl Weierstrass

Karl Theodor Wilhelm Weierstrass (Weierstraß; 31 October 1815 – 19 February 1897) was a German mathematician often cited as the "father of modern analysis".

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Kingdom of Prussia

The Kingdom of Prussia (Königreich Preußen) was a German kingdom that constituted the state of Prussia between 1701 and 1918.

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Klein bottle

In topology, a branch of mathematics, the Klein bottle is an example of a non-orientable surface; it is a two-dimensional manifold against which a system for determining a normal vector cannot be consistently defined.

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Klein quartic

In hyperbolic geometry, the Klein quartic, named after Felix Klein, is a compact Riemann surface of genus with the highest possible order automorphism group for this genus, namely order orientation-preserving automorphisms, and automorphisms if orientation may be reversed.

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Klein's encyclopedia

Klein's encyclopedia is a German mathematical encyclopedia published in six volumes from 1898 to 1933.

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Kummer surface

In algebraic geometry, a Kummer quartic surface, first studied by, is an irreducible nodal surface of degree 4 in \mathbbP^3 with the maximal possible number of 16 double points.

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Leipzig

Leipzig is the most populous city in the federal state of Saxony, Germany.

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Leipzig University

Leipzig University (Universität Leipzig), in Leipzig in the Free State of Saxony, Germany, is one of the world's oldest universities and the second-oldest university (by consecutive years of existence) in Germany.

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Leopold Kronecker

Leopold Kronecker (7 December 1823 – 29 December 1891) was a German mathematician who worked on number theory, algebra and logic.

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Line coordinates

In geometry, line coordinates are used to specify the position of a line just as point coordinates (or simply coordinates) are used to specify the position of a point.

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List of things named after Felix Klein

These are things named after Felix Klein (1849 – 1925), a German mathematician.

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London Mathematical Society

The London Mathematical Society (LMS) is one of the United Kingdom's learned societies for mathematics (the others being the Royal Statistical Society (RSS) and the Institute of Mathematics and its Applications (IMA)).

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Ludwig Bieberbach

Ludwig Georg Elias Moses Bieberbach (4 December 1886 – 1 September 1982) was a German mathematician and Nazi.

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Luigi Bianchi

Luigi Bianchi (18 January 1856 – 6 June 1928) was an Italian mathematician.

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Mathematical physics

Mathematical physics refers to the development of mathematical methods for application to problems in physics.

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Mathematician

A mathematician is someone who uses an extensive knowledge of mathematics in his or her work, typically to solve mathematical problems.

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Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

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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.

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Max Brückner

Johannes Max Brückner (5 August 1860 – 1 November 1934) was a German geometer, known for his collection of polyhedral models.

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Max Planck

Max Karl Ernst Ludwig Planck, FRS (23 April 1858 – 4 October 1947) was a German theoretical physicist whose discovery of energy quanta won him the Nobel Prize in Physics in 1918.

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Maxime Bôcher

Maxime Bôcher (August 28, 1867 – September 12, 1918) was an American mathematician who published about 100 papers on differential equations, series, and algebra.

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Möbius strip

The Möbius strip or Möbius band, also spelled Mobius or Moebius, is a surface with only one side (when embedded in three-dimensional Euclidean space) and only one boundary.

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Mechanics

Mechanics (Greek μηχανική) is that area of science concerned with the behaviour of physical bodies when subjected to forces or displacements, and the subsequent effects of the bodies on their environment.

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Mellen Woodman Haskell

Mellen Woodman Haskell (March 17, 1863 – January 15, 1948) was an American mathematician, specializing in geometry, group theory, and applications of group theory to geometry.

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Metric space

In mathematics, a metric space is a set for which distances between all members of the set are defined.

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Modular group

In mathematics, the modular group is the projective special linear group PSL(2,Z) of 2 x 2 matrices with integer coefficients and unit determinant.

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Munich

Munich (München; Minga) is the capital and the most populated city in the German state of Bavaria, on the banks of the River Isar north of the Bavarian Alps.

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Non-Euclidean geometry

In mathematics, non-Euclidean geometry consists of two geometries based on axioms closely related to those specifying Euclidean geometry.

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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.

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Number theory

Number theory, or in older usage arithmetic, is a branch of pure mathematics devoted primarily to the study of the integers.

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Order (group theory)

In group theory, a branch of mathematics, the term order is used in two unrelated senses.

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Oskar Bolza

Oskar Bolza (12 May 1857 – 5 July 1942) was a German mathematician, and student of Felix Klein.

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Paris

Paris is the capital and most populous city of France, with an area of and a population of 2,206,488.

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Philipp Furtwängler

Friederich Pius Philipp Furtwängler (April 21, 1869 – May 19, 1940) was a German number theorist.

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Potential theory

In mathematics and mathematical physics, potential theory is the study of harmonic functions.

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Projective space

In mathematics, a projective space can be thought of as the set of lines through the origin of a vector space V. The cases when and are the real projective line and the real projective plane, respectively, where R denotes the field of real numbers, R2 denotes ordered pairs of real numbers, and R3 denotes ordered triplets of real numbers.

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Province of Hanover

The Province of Hanover (Provinz Hannover) was a province of the Kingdom of Prussia and the Free State of Prussia from 1868 to 1946.

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Prussia

Prussia (Preußen) was a historically prominent German state that originated in 1525 with a duchy centred on the region of Prussia.

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Prussian Army

The Royal Prussian Army (Königlich Preußische Armee) served as the army of the Kingdom of Prussia.

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PSL(2,7)

In mathematics, the projective special linear group PSL(2, 7) (isomorphic to GL(3, 2)) is a finite simple group that has important applications in algebra, geometry, and number theory.

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Real analysis

In mathematics, real analysis is the branch of mathematical analysis that studies the behavior of real numbers, sequences and series of real numbers, and real-valued functions.

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Rhine Province

The Rhine Province (Rheinprovinz), also known as Rhenish Prussia (Rheinpreußen) or synonymous with the Rhineland (Rheinland), was the westernmost province of the Kingdom of Prussia and the Free State of Prussia, within the German Reich, from 1822 to 1946.

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Riemann surface

In mathematics, particularly in complex analysis, a Riemann surface is a one-dimensional complex manifold.

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Robert Fricke

Karl Emanuel Robert Fricke (24 September 1861 in Helmstedt, Germany – 18 July 1930 in Bad Harzburg, Germany) was a German mathematician, known for his work in complex analysis, especially on elliptic, modular and automorphic functions.

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Royal Netherlands Academy of Arts and Sciences

The Royal Netherlands Academy of Arts and Sciences (Koninklijke Nederlandse Akademie van Wetenschappen, abbreviated: KNAW) is an organization dedicated to the advancement of science and literature in the Netherlands.

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Royal Society

The President, Council and Fellows of the Royal Society of London for Improving Natural Knowledge, commonly known as the Royal Society, is a learned society.

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Rudolf Lipschitz

Rudolf Otto Sigismund Lipschitz (14 May 1832 – 7 October 1903) was a German mathematician who made contributions to mathematical analysis (where he gave his name to the Lipschitz continuity condition) and differential geometry, as well as number theory, algebras with involution and classical mechanics.

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Sophus Lie

Marius Sophus Lie (17 December 1842 – 18 February 1899) was a Norwegian mathematician.

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Symmetry group

In group theory, the symmetry group of an object (image, signal, etc.) is the group of all transformations under which the object is invariant with composition as the group operation.

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Technical University of Munich

Technical University of Munich (TUM) (Technische Universität München) is a research university with campuses in Munich, Garching and Freising-Weihenstephan.

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Tessellation

A tessellation of a flat surface is the tiling of a plane using one or more geometric shapes, called tiles, with no overlaps and no gaps.

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Uniformization theorem

In mathematics, the uniformization theorem says that every simply connected Riemann surface is conformally equivalent to one of the three Riemann surfaces: the open unit disk, the complex plane, or the Riemann sphere.

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University of Bonn

The University of Bonn (Rheinische Friedrich-Wilhelms-Universität Bonn) is a public research university located in Bonn, Germany.

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University of Erlangen-Nuremberg

Friedrich-Alexander University Erlangen-Nürnberg (Friedrich-Alexander-Universität Erlangen-Nürnberg, FAU) is a public research university in the cities of Erlangen and Nuremberg in Bavaria, Germany.

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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.

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University of Königsberg

The University of Königsberg (Albertus-Universität Königsberg) was the university of Königsberg in East Prussia.

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Virgil Snyder

Virgil Snyder (1869, Dixon, Iowa – 1950) was an American mathematician, specializing in algebraic geometry.

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W-curve

In geometry, a W-curve is a curve in projective ''n''-space that is invariant under a 1-parameter group of projective transformations.

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Walther von Dyck

Walther Franz Anton von Dyck (6 December 1856 in Munich – 5 November 1934 in Munich), born Dyck and later ennobled, was a German mathematician.

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Weimar Republic

The Weimar Republic (Weimarer Republik) is an unofficial, historical designation for the German state during the years 1919 to 1933.

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World's Columbian Exposition

The World's Columbian Exposition (the official shortened name for the World's Fair: Columbian Exposition, also known as the Chicago World's Fair and Chicago Columbian Exposition) was a world's fair held in Chicago in 1893 to celebrate the 400th anniversary of Christopher Columbus's arrival in the New World in 1492.

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Redirects here:

C. Felix Klein, Christian Felix Klein, F. Klein, Felix Christian Klein, Felix klein.

References

[1] https://en.wikipedia.org/wiki/Felix_Klein

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