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Heinrich Liebmann
Karl Otto Heinrich Liebmann (* 22. October 1874 in Strasbourg; † 12. June 1939 in Munich-Solln) was a German mathematician and geometer. Life Liebmann was the son of Otto Liebmann (1840–1912), a Jewish neo-Kantian philosophy professor in Jena. Heinrich studied from 1895 to 1897 at the universities Leipzig, Jena and Göttingen. In 1895 he was awarded the doctorate under Carl Johannes Thomae with the subject ''Die einzweideutigen projektiven Punktverwandtschaften der Ebene'' and passed the Lehramtsprüfung in 1896. In 1897 he was an assistant in Göttingen and in 1898 in Leipzig, where he was habilitated on the subject ''Über die Verbiegung der geschlossenen Flächen positiver Krümmung''. In this work, among other things, he stated Liebmann's theorem in differential geometry. In 1905, he became extraordinary professor in Leipzig, in 1910 extraordinary professor at the Technischen Hochschule München, where he became professor in 1915. In 1920 he followed Paul Stäck ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History One of the earliest known mathematicians were Thales of Miletus (c. 624–c.546 BC); he has been hailed as the first true mathematician and the first known individual to whom a mathematical discovery has been attributed. He is credited with the first use of deductive reasoning applied to geometry, by deriving four corollaries to Thales' Theorem. The number of known mathematicians grew when Pythagoras of Samos (c. 582–c. 507 BC) established the Pythagorean School, whose doctrine it was that mathematics ruled the universe and whose motto was "All is number". It was the Pythagoreans who coined the term "mathematics", and with whom the study of mathematics for its own sake begins. The first woman mathematician recorded by history was Hyp ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Differential Geometry
Differential geometry is a mathematical discipline that studies the geometry of smooth shapes and smooth spaces, otherwise known as smooth manifolds. It uses the techniques of differential calculus, integral calculus, linear algebra and multilinear algebra. The field has its origins in the study of spherical geometry as far back as antiquity. It also relates to astronomy, the geodesy of the Earth, and later the study of hyperbolic geometry by Lobachevsky. The simplest examples of smooth spaces are the plane and space curves and surfaces in the three-dimensional Euclidean space, and the study of these shapes formed the basis for development of modern differential geometry during the 18th and 19th centuries. Since the late 19th century, differential geometry has grown into a field concerned more generally with geometric structures on differentiable manifolds. A geometric structure is one which defines some notion of size, distance, shape, volume, or other rigidifying st ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Saxon Academy Of Sciences
The Saxon Academy of Sciences and Humanities in Leipzig (german: Sächsische Akademie der Wissenschaften zu Leipzig) is an institute which was founded in 1846 under the name ''Royal Saxon Society for the Sciences'' (german: Königlich Sächsische Gesellschaft der Wissenschaften). Notable members * Eberhard Ackerknecht * Kurt Aland * Annette Beck-Sickinger * Walther Bothe * Alexander Cartellieri * James Chadwick * Otto Clemen * Bernard Comrie * Peter Debye * Johann Paul von Falkenstein * Theodor Frings * Horst Fuhrmann * Bernhard Hänsel * Werner Heisenberg * Gustav Hertz * Archibald Vivian Hill * Cuno Hoffmeister * Ernst Joest *Elisabeth Karg-Gasterstädt * Jörg Kärger * Hermann Kolbe * Foteini Kolovou * Walter König * Hermann August Korff * Hellmut Kretzschmar * August Krogh * Christoph Krummacher * Ursula Lehr * Volker Leppin * Rolf Lieberwirth * Heiner Lück * Heinrich Magirius * Karl Mannsfeld * Theodor Mommsen * August Ferdinand Möbius * Karl Alexander Mül ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Nikolai Lobachevsky
Nikolai Ivanovich Lobachevsky ( rus, Никола́й Ива́нович Лобаче́вский, p=nʲikɐˈlaj ɪˈvanəvʲɪtɕ ləbɐˈtɕɛfskʲɪj, a=Ru-Nikolai_Ivanovich_Lobachevsky.ogg; – ) was a Russian mathematician and geometer, known primarily for his work on hyperbolic geometry, otherwise known as Lobachevskian geometry, and also for his fundamental study on Dirichlet integrals, known as the Lobachevsky integral formula. William Kingdon Clifford called Lobachevsky the "Copernicus of Geometry" due to the revolutionary character of his work. Biography Nikolai Lobachevsky was born either in or near the city of Nizhny Novgorod in the Russian Empire (now in Nizhny Novgorod Oblast, Russia) in 1792 to parents of Russian and Polish origin – Ivan Maksimovich Lobachevsky and Praskovia Alexandrovna Lobachevskaya.Victor J. Katz. ''A history of mathematics: Introduction''. Addison-Wesley. 2009. p. 842. Stephen Hawking. ''God Created the Integers: The Mathematical Br ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hyperbolic Geometry
In mathematics, hyperbolic geometry (also called Lobachevskian geometry or Bolyai–Lobachevskian geometry) is a non-Euclidean geometry. The parallel postulate of Euclidean geometry is replaced with: :For any given line ''R'' and point ''P'' not on ''R'', in the plane containing both line ''R'' and point ''P'' there are at least two distinct lines through ''P'' that do not intersect ''R''. (Compare the above with Playfair's axiom, the modern version of Euclid's parallel postulate.) Hyperbolic plane geometry is also the geometry of pseudospherical surfaces, surfaces with a constant negative Gaussian curvature. Saddle surfaces have negative Gaussian curvature in at least some regions, where they locally resemble the hyperbolic plane. A modern use of hyperbolic geometry is in the theory of special relativity, particularly the Minkowski model. When geometers first realised they were working with something other than the standard Euclidean geometry, they described their ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Triangle
A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices ''A'', ''B'', and ''C'' is denoted \triangle ABC. In Euclidean geometry, any three points, when non- collinear, determine a unique triangle and simultaneously, a unique plane (i.e. a two-dimensional Euclidean space). In other words, there is only one plane that contains that triangle, and every triangle is contained in some plane. If the entire geometry is only the Euclidean plane, there is only one plane and all triangles are contained in it; however, in higher-dimensional Euclidean spaces, this is no longer true. This article is about triangles in Euclidean geometry, and in particular, the Euclidean plane, except where otherwise noted. Types of triangle The terminology for categorizing triangles is more than two thousand years old, having been defined on the very first page of Euclid's Elements. The names used for modern classification are ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Non-Euclidean Geometry
In mathematics, non-Euclidean geometry consists of two geometries based on axioms closely related to those that specify Euclidean geometry. As Euclidean geometry lies at the intersection of metric geometry and affine geometry, non-Euclidean geometry arises by either replacing the parallel postulate with an alternative, or relaxing the metric requirement. In the former case, one obtains hyperbolic geometry and elliptic geometry, the traditional non-Euclidean geometries. When the metric requirement is relaxed, then there are affine planes associated with the planar algebras, which give rise to kinematic geometries that have also been called non-Euclidean geometry. The essential difference between the metric geometries is the nature of parallel lines. Euclid's fifth postulate, the parallel postulate, is equivalent to Playfair's postulate, which states that, within a two-dimensional plane, for any given line and a point ''A'', which is not on , there is exactly one line throu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Arthur Rosenthal
Arthur Rosenthal (24 February 1887, Fürth, Germany – 15 September 1959, Lafayette, Indiana) was a German mathematician. Career Rosenthal's mathematical studies started in 1905 in Munich, under Ferdinand Lindemann and Arnold Sommerfeld at the University of Munich and the Technical University Munich, as well as at the University of Göttingen. After submitting his thesis on regular polyhedra in 1909, he was promoted to assistant at the Technical University in 1911 and then associate professor in the University of Munich in 1920. The following year he was appointed associate professor in the University of Heidelberg, with a promotion to full professor in 1930. Between 1932 and 1933 he served as dean in the faculty of mathematics and natural sciences, but was forced from his university position as a result of Nazi policies against German Jews. He moved to the Netherlands in 1936 and from there emigrated to the United States in 1939. He was appointed lecturer and research fellow a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jewish
Jews ( he, יְהוּדִים, , ) or Jewish people are an ethnoreligious group and nation originating from the Israelites Israelite origins and kingdom: "The first act in the long drama of Jewish history is the age of the Israelites""The people of the Kingdom of Israel and the ethnic and religious group known as the Jewish people that descended from them have been subjected to a number of forced migrations in their history" and Hebrews of historical Israel and Judah. Jewish ethnicity, nationhood, and religion are strongly interrelated, "Historically, the religious and ethnic dimensions of Jewish identity have been closely interwoven. In fact, so closely bound are they, that the traditional Jewish lexicon hardly distinguishes between the two concepts. Jewish religious practice, by definition, was observed exclusively by the Jewish people, and notions of Jewish peoplehood, nation, and community were suffused with faith in the Jewish God, the practice of Jewish (religious) la ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
National Socialist
Nazism ( ; german: Nazismus), the common name in English for National Socialism (german: Nationalsozialismus, ), is the far-right totalitarian political ideology and practices associated with Adolf Hitler and the Nazi Party (NSDAP) in Nazi Germany. During Hitler's rise to power in 1930s Europe, it was frequently referred to as Hitlerism (german: Hitlerfaschismus). The later related term " neo-Nazism" is applied to other far-right groups with similar ideas which formed after the Second World War. Nazism is a form of fascism, with disdain for liberal democracy and the parliamentary system. It incorporates a dictatorship, fervent antisemitism, anti-communism, scientific racism, and the use of eugenics into its creed. Its extreme nationalism originated in pan-Germanism and the ethno-nationalist '' Völkisch'' movement which had been a prominent aspect of German nationalism since the late 19th century, and it was strongly influenced by the paramilitary groups that emerged ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Dean (education)
Dean is a title employed in academic administrations such as colleges or universities for a person with significant authority over a specific academic unit, over a specific area of concern, or both. In the United States and Canada, deans are usually the head of each constituent college and school that make up a university. Deans are common in private preparatory schools, and occasionally found in middle schools and high schools as well. Origin A "dean" (Latin: '' decanus'') was originally the head of a group of ten soldiers or monks. Eventually an ecclesiastical dean became the head of a group of canons or other religious groups. When the universities grew out of the cathedral schools and monastic schools, the title of dean was used for officials with various administrative duties. Use Bulgaria and Romania In Bulgarian and Romanian universities, a dean is the head of a faculty, which may include several academic departments. Every faculty unit of university or academy. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rector (academia)
A rector (Latin for 'ruler') is a senior official in an educational institution, and can refer to an official in either a university or a secondary school. Outside the English-speaking world the rector is often the most senior official in a university, whilst in the United States the most senior official is often referred to as president and in the United Kingdom and Commonwealth of Nations the most senior official is the chancellor, whose office is primarily ceremonial and titular. The term and office of a rector can be referred to as a rectorate. The title is used widely in universities in EuropeEuropean nations where the word ''rector'' or a cognate thereof (''rektor'', ''recteur'', etc.) is used in referring to university administrators include Albania, Austria, the Benelux, Bosnia and Herzegovina, Bulgaria, Croatia, Cyprus, Czech Republic, Denmark, Estonia, Finland, Germany, Greece, Hungary, Iceland, Italy, Latvia, Malta, Moldova, North Macedonia, Poland ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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