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Hanna Neumann
Johanna (Hanna) Neumann (née von Caemmerer; 12 February 1914 – 14 November 1971) was a German-born mathematician who worked on group theory. Biography Neumann was born on 12 February 1914 in Lankwitz, Steglitz-Zehlendorf (today a district of Berlin), Germany. She was the youngest of three children of Hermann and Katharina von Caemmerer. As a result of her father's death in the first days of the First World War, the family income was small, and from the age of thirteen she was coaching school children. After two years at a private school she entered the Auguste-Viktoria-Schule, a girls' grammar school (Realgymnasium), in 1922. She graduated in early 1932 and then entered the University of Berlin. The lecture courses in mathematics that she took in her first year were: Introduction to Higher Mathematics given by Georg Feigl; Analytical Geometry and Projective Geometry both given by Ludwig Bieberbach, Differential and Integral Calculus given by Erhard Schmidt, and the The ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Lankwitz
Lankwitz () is a German locality (''Ortsteil'') within the borough (''Bezirk'') of Steglitz-Zehlendorf, Berlin. Until 2001 it was part of the former borough of Steglitz. History The locality was first mentioned in 1239 with the name of ''Lankowice''. Autonomous Prussian municipality of the former Teltow district, Lankwitz was incorporated into Berlin in 1920 as part of the district Steglitz, with the "Greater Berlin Act". Geography Lankwitz is situated in the southern suburb of Berlin, close to the borders with the Brandenburg. It borders with the localities of Steglitz, Lichterfelde, Mariendorf, Marienfelde (both in Tempelhof-Schöneberg district) and, in a short point represented by a bridge over the Teltowkanal, with Tempelhof.Source: "ADAC StadtAtlas - Berlin-Potsdam". ed. 2007 - p. 196 - The Teltowkanal also remarks the boundary between Lankwitz and Steglitz. Transport The locality is served by ''S-Bahn'' at the rail station of Lankwitz (lines S25 and S26). The S2 only ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bernhard Neumann
Bernhard Hermann Neumann (15 October 1909 – 21 October 2002) was a German-born British-Australian mathematician, who was a leader in the study of group theory. Early life and education After gaining a D.Phil. from Friedrich-Wilhelms Universität in Berlin in 1932 he earned a Ph.D. at the University of Cambridge in 1935 and a Doctor of Science at the University of Manchester in 1954. His doctoral students included Gilbert Baumslag, László Kovács, Michael Newman, and James Wiegold. After war service with the British Army, he became a lecturer at University College, Hull, before moving in 1948 to the University of Manchester, where he spent the next 14 years. In 1954 he received a DSc from the University of Cambridge. In 1962 he migrated to Australia to take up the Foundation Chair of the Department of Mathematics within the Institute of Advanced Studies of the Australian National University (ANU), where he served as head of the department until retiring in 1975. In addition ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Friedrich Schur
Friedrich Heinrich Schur (27 January 1856, Maciejewo, Krotoschin, Province of Posen – 18 March 1932, Breslau) was a German mathematician who studied geometry. Life and work Schur's family was originally Jewish, but converted to Protestantism. His father owned an estate. He attended high school in Krotoschin and in 1875 studied at University of Wroclaw astronomy and mathematics under Heinrich Schröter and Jacob Rosanes. He then went to the Berlin University, where he studied under Karl Weierstrass, Ernst Eduard Kummer, Leopold Kronecker and Gustav Kirchhoff and received his doctorate in 1879 from Kummer: ''Geometrische Untersuchungen über Strahlenkomplexe ersten und zweiten Grades''. In 1880, he passed the exam and the same year qualified as a teacher at the University of Leipzig. After that, he was an assistant professor and in 1884 became an assistant to Felix Klein in Leipzig. In 1885 he was an associate professor there in 1888 and professor at the University of Tartu. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Erhard Schmidt
Erhard Schmidt (13 January 1876 – 6 December 1959) was a Baltic German mathematician whose work significantly influenced the direction of mathematics in the twentieth century. Schmidt was born in Tartu (german: link=no, Dorpat), in the Governorate of Livonia (now Estonia). Mathematics His advisor was David Hilbert and he was awarded his doctorate from University of Göttingen in 1905. His doctoral dissertation was entitled ''Entwickelung willkürlicher Funktionen nach Systemen vorgeschriebener'' and was a work on integral equations. Together with David Hilbert he made important contributions to functional analysis. Ernst Zermelo credited conversations with Schmidt for the idea and method for his classic 1904 proof of the Well-ordering theorem from an "Axiom of choice", which has become an integral part of modern set theory. After the war, in 1948, Schmidt founded and became the first editor-in-chief of the journal ''Mathematische Nachrichten''. National Socialism During ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ludwig Bieberbach
Ludwig Georg Elias Moses Bieberbach (; 4 December 1886 – 1 September 1982) was a German mathematician and Nazi. Biography Born in Goddelau, near Darmstadt, he studied at Heidelberg and under Felix Klein at Göttingen, receiving his doctorate in 1910. His dissertation was titled ''On the theory of automorphic functions'' (german: Theorie der automorphen Funktionen). He began working as a Privatdozent at Königsberg in 1910 and as Professor ordinarius at the University of Basel in 1913. He taught at the University of Frankfurt in 1915 and the University of Berlin from 1921–45. Bieberbach wrote a habilitation thesis in 1911 about groups of Euclidean motions – identifying conditions under which the group must have a translational subgroup whose vectors span the Euclidean space – that helped solve Hilbert's 18th problem. He worked on complex analysis and its applications to other areas in mathematics. He is known for his work on dynamics in several complex variables, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Georg Feigl
Georg Feigl (13 October 1890 – 20 April 1945) was a German mathematician. Life and work Georg Feigl started studying mathematics and physics at the University of Jena in 1909. In 1918, he obtained his doctorate under Paul Koebe. From 1928 he was editor of the ''Jahrbuch über die Fortschritte der Mathematik'' ("Yearbook on the progress of mathematics"). In 1935 he became a full professor at the University of Breslau. In 1937—1941, he was an editor of the journal ''Deutsche Mathematik''. Feigl's main areas of work were the foundations of geometry and topology, where he studied fixed point theorems for ''n''-dimensional manifolds. Feigl was one of the initial authors of the ''Mathematisches Wörterbuch'' ("Mathematical dictionary"). Because of the impending siege by the Red Army he was forced to leave Breslau in January 1945 with his family and other members of the Mathematical Institute. His wife Maria was distantly related to the lord of the manor of Wechselburg c ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Humboldt University Of Berlin
Humboldt-Universität zu Berlin (german: Humboldt-Universität zu Berlin, abbreviated HU Berlin) is a German public research university in the central borough of Mitte in Berlin. It was established by Frederick William III on the initiative of Wilhelm von Humboldt, Johann Gottlieb Fichte and Friedrich Ernst Daniel Schleiermacher as the University of Berlin () in 1809, and opened in 1810, making it the oldest of Berlin's four universities. From 1828 until its closure in 1945, it was named Friedrich Wilhelm University (german: Friedrich-Wilhelms-Universität). During the Cold War, the university found itself in East Berlin and was ''de facto'' split in two when the Free University of Berlin opened in West Berlin. The university received its current name in honour of Alexander and Wilhelm von Humboldt in 1949. The university is divided into nine faculties including its medical school shared with the Freie Universität Berlin. The university has a student enrollment of around 32 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Realgymnasium
''Gymnasium'' (; German plural: ''Gymnasien''), in the German education system, is the most advanced and highest of the three types of German secondary schools, the others being ''Hauptschule'' (lowest) and ''Realschule'' (middle). ''Gymnasium'' strongly emphasizes academic learning, comparable to the British sixth form system or with prep schools in the United States. A student attending ''Gymnasium'' is called a ''Gymnasiast'' (German plural: ''Gymnasiasten''). In 2009/10 there were 3,094 gymnasia in Germany, with students (about 28 percent of all precollegiate students during that period), resulting in an average student number of 800 students per school.Federal Statistical office of Germany, Fachserie 11, Reihe 1: Allgemeinbildende Schulen – Schuljahr 2009/2010, Wiesbaden 2010 Gymnasia are generally public, state-funded schools, but a number of parochial and private gymnasia also exist. In 2009/10, 11.1 percent of gymnasium students attended a private gymnasium. The ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
First World War
World War I (28 July 1914 11 November 1918), often abbreviated as WWI, was one of the deadliest global conflicts in history. Belligerents included much of Europe, the Russian Empire, the United States, and the Ottoman Empire, with fighting occurring throughout Europe, the Middle East, Africa, the Pacific, and parts of Asia. An estimated 9 million soldiers were killed in combat, plus another 23 million wounded, while 5 million civilians died as a result of military action, hunger, and disease. Millions more died in genocides within the Ottoman Empire and in the 1918 influenza pandemic, which was exacerbated by the movement of combatants during the war. Prior to 1914, the European great powers were divided between the Triple Entente (comprising France, Russia, and Britain) and the Triple Alliance (containing Germany, Austria-Hungary, and Italy). Tensions in the Balkans came to a head on 28 June 1914, following the assassination of Archduke Franz Ferdina ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Berlin
Berlin ( , ) is the capital and largest city of Germany by both area and population. Its 3.7 million inhabitants make it the European Union's most populous city, according to population within city limits. One of Germany's sixteen constituent states, Berlin is surrounded by the State of Brandenburg and contiguous with Potsdam, Brandenburg's capital. Berlin's urban area, which has a population of around 4.5 million, is the second most populous urban area in Germany after the Ruhr. The Berlin-Brandenburg capital region has around 6.2 million inhabitants and is Germany's third-largest metropolitan region after the Rhine-Ruhr and Rhine-Main regions. Berlin straddles the banks of the Spree, which flows into the Havel (a tributary of the Elbe) in the western borough of Spandau. Among the city's main topographical features are the many lakes in the western and southeastern boroughs formed by the Spree, Havel and Dahme, the largest of which is Lake Müggelsee. Due to its l ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Boroughs And Localities Of Berlin
Berlin is both a city and one of Germany’s federated states (city state). Since the 2001 administrative reform, it has been made up of twelve districts (german: Bezirke, ), each with its own administrative body. However, unlike the municipalities and counties of other German states, the Berlin districts are not territorial corporations of public law () with autonomous competencies and property, but simple administrative agencies of Berlin's state and city government, the City of Berlin forming a single municipality () since the Greater Berlin Act of 1920. Thus they cannot be equated to US or UK boroughs in the traditional meaning of the term. Each district possesses a district representatives' assembly () directly elected by proportional representation and an administrative body called district board (). The district board, comprising since October 2021 six (until then five) members - a district mayor () as head and five (earlier four) district councillors () - is elected by th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Group Theory
In abstract algebra, group theory studies the algebraic structures known as group (mathematics), groups. The concept of a group is central to abstract algebra: other well-known algebraic structures, such as ring (mathematics), rings, field (mathematics), fields, and vector spaces, can all be seen as groups endowed with additional operation (mathematics), operations and axioms. Groups recur throughout mathematics, and the methods of group theory have influenced many parts of algebra. Linear algebraic groups and Lie groups are two branches of group theory that have experienced advances and have become subject areas in their own right. Various physical systems, such as crystals and the hydrogen atom, and Standard Model, three of the four known fundamental forces in the universe, may be modelled by symmetry groups. Thus group theory and the closely related representation theory have many important applications in physics, chemistry, and materials science. Group theory is also ce ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
