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Ludwig Maurer
Ludwig Maurer (11 December 1859 – 10 January 1927) was a German mathematician and professor at University of Tübingen. He was the eldest son of Konrad Maurer (1823–1902) and Valerie Maurer, née von Faulhaber (1833–1912). His 1887 dissertation at the University of Strassburg was on the theory of linear substitutions, known today as matrix groups. A survey of his important contributions is contained in chapter V, §4 of . See also *Maurer–Cartan form In mathematics, the Maurer–Cartan form for a Lie group is a distinguished differential one-form on that carries the basic infinitesimal information about the structure of . It was much used by Élie Cartan as a basic ingredient of his me ... References * External links * 1859 births 1927 deaths 19th-century German mathematicians 20th-century German mathematicians {{Germany-mathematician-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ludwig Maurer
Ludwig Maurer (11 December 1859 – 10 January 1927) was a German mathematician and professor at University of Tübingen. He was the eldest son of Konrad Maurer (1823–1902) and Valerie Maurer, née von Faulhaber (1833–1912). His 1887 dissertation at the University of Strassburg was on the theory of linear substitutions, known today as matrix groups. A survey of his important contributions is contained in chapter V, §4 of . See also *Maurer–Cartan form In mathematics, the Maurer–Cartan form for a Lie group is a distinguished differential one-form on that carries the basic infinitesimal information about the structure of . It was much used by Élie Cartan as a basic ingredient of his me ... References * External links * 1859 births 1927 deaths 19th-century German mathematicians 20th-century German mathematicians {{Germany-mathematician-stub ... [...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 Hypati ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Tübingen
The University of Tübingen, officially the Eberhard Karl University of Tübingen (german: Eberhard Karls Universität Tübingen; la, Universitas Eberhardina Carolina), is a public research university located in the city of Tübingen, Baden-Württemberg, Germany. The University of Tübingen is one of eleven German Excellence Universities. The University of Tübingen is especially known as a centre for the study of plant biology, medicine, law, archeology, ancient cultures, philosophy, theology, and religious studies as well as more recently as center of excellence for artificial intelligence. The university's noted alumni include presidents, EU Commissioners, and judges of the Federal Constitutional Court. The university is associated with eleven Nobel laureates, especially in the fields of medicine and chemistry. History The University of Tübingen was founded in 1477 by Count Eberhard V (Eberhard im Bart, 1445–1496), later the first Duke of Württemberg, a civic and ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Konrad Maurer
Konrad Maurer, since 1876 Konrad von Maurer (April 29, 1823 – September 16, 1902) was a German legal historian. He was the son of legal historian and statesman Georg Ludwig von Maurer (1790–1872). Maurer is considered one of the most significant researchers of Nordic legal and constitutional history. Biography Konrad Heinrich Maurer was born in 1823 in Frankenthal ( Palatinate), as the only son of Georg Ludwig von Maurer und Friederike Maurer née Heydweiller. In 1826 the family moved to Munich (Bavaria), where his father was appointed professor of German legal history. Here, Konrad Maurer's mother died when he was seven. His father never remarried. Konrad Maurer spent two years of his childhood in Greece where his father was appointed a member of the council of regency of king Otto of Greece. Afterwards the family returned to Munich. Bowing to his father's wish, Konrad Maurer studied law at the Universities of Munich, Leipzig and Berlin, earning his doctorate in 184 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Strassburg
The University of Strasbourg (french: Université de Strasbourg, Unistra) is a public research university located in Strasbourg, Alsace, France, with over 52,000 students and 3,300 researchers. The French university traces its history to the earlier German-language ''Universität Straßburg'', which was founded in 1538, and was divided in the 1970s into three separate institutions: Louis Pasteur University, Marc Bloch University, and Robert Schuman University. On 1 January 2009, the fusion of these three universities reconstituted a united University of Strasbourg. With as many as 19 Nobel laureates, and two Fields Medal winners, the university is ranked among the best in the League of European Research Universities. History The university emerged from a Lutheran humanist German Gymnasium, founded in 1538 by Johannes Sturm in the Free Imperial City of Strassburg. It was transformed to a university in 1621 (german: Universität Straßburg) and elevated to the ranks of a royal un ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Matrix Group
In mathematics, a matrix group is a group ''G'' consisting of invertible matrices over a specified field ''K'', with the operation of matrix multiplication. A linear group is a group that is isomorphic to a matrix group (that is, admitting a faithful, finite-dimensional representation over ''K''). Any finite group is linear, because it can be realized by permutation matrices using Cayley's theorem. Among infinite groups, linear groups form an interesting and tractable class. Examples of groups that are not linear include groups which are "too big" (for example, the group of permutations of an infinite set), or which exhibit some pathological behavior (for example, finitely generated infinite torsion groups). Definition and basic examples A group ''G'' is said to be ''linear'' if there exists a field ''K'', an integer ''d'' and an injective homomorphism from ''G'' to the general linear group GL''d''(''K'') (a faithful linear representation of dimension ''d'' over ''K''): i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Maurer–Cartan Form
In mathematics, the Maurer–Cartan form for a Lie group is a distinguished differential one-form on that carries the basic infinitesimal information about the structure of . It was much used by Élie Cartan as a basic ingredient of his method of moving frames, and bears his name together with that of Ludwig Maurer. As a one-form, the Maurer–Cartan form is peculiar in that it takes its values in the Lie algebra associated to the Lie group . The Lie algebra is identified with the tangent space of at the identity, denoted . The Maurer–Cartan form is thus a one-form defined globally on which is a linear mapping of the tangent space at each into . It is given as the pushforward of a vector in along the left-translation in the group: :\omega(v) = (L_)_* v,\quad v\in T_gG. Motivation and interpretation A Lie group acts on itself by multiplication under the mapping :G\times G \ni (g,h) \mapsto gh \in G. A question of importance to Cartan and his contempora ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1859 Births
Events January–March * January 21 – José Mariano Salas (1797–1867) becomes Conservative interim President of Mexico. * January 24 ( O. S.) – Wallachia and Moldavia are united under Alexandru Ioan Cuza (Romania since 1866, final unification takes place on December 1, 1918; Transylvania and other regions are still missing at that time). * January 28 – The city of Olympia is incorporated in the Washington Territory of the United States of America. * February 2 – Miguel Miramón (1832–1867) becomes Conservative interim President of Mexico. * February 4 – German scholar Constantin von Tischendorf rediscovers the ''Codex Sinaiticus'', a 4th-century uncial manuscript of the Greek Bible, in Saint Catherine's Monastery on the foot of Mount Sinai, in the Khedivate of Egypt. * February 14 – Oregon is admitted as the 33rd U.S. state. * February 12 – The Mekteb-i Mülkiye School is founded in the Ottoman Empire. * February 17 – French naval forces under Char ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1927 Deaths
Nineteen or 19 may refer to: * 19 (number), the natural number following 18 and preceding 20 * one of the years 19 BC, AD 19, 1919, 2019 Films * ''19'' (film), a 2001 Japanese film * ''Nineteen'' (film), a 1987 science fiction film Music * 19 (band), a Japanese pop music duo Albums * ''19'' (Adele album), 2008 * ''19'', a 2003 album by Alsou * ''19'', a 2006 album by Evan Yo * ''19'', a 2018 album by MHD * ''19'', one half of the double album ''63/19'' by Kool A.D. * ''Number Nineteen'', a 1971 album by American jazz pianist Mal Waldron * ''XIX'' (EP), a 2019 EP by 1the9 Songs * "19" (song), a 1985 song by British musician Paul Hardcastle. * "Nineteen", a song by Bad4Good from the 1992 album '' Refugee'' * "Nineteen", a song by Karma to Burn from the 2001 album ''Almost Heathen''. * "Nineteen" (song), a 2007 song by American singer Billy Ray Cyrus. * "Nineteen", a song by Tegan and Sara from the 2007 album '' The Con''. * "XIX" (song), a 2014 song by Slipk ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
19th-century German Mathematicians
The 19th (nineteenth) century began on 1 January 1801 ( MDCCCI), and ended on 31 December 1900 ( MCM). The 19th century was the ninth century of the 2nd millennium. The 19th century was characterized by vast social upheaval. Slavery was abolished in much of Europe and the Americas. The First Industrial Revolution, though it began in the late 18th century, expanding beyond its British homeland for the first time during this century, particularly remaking the economies and societies of the Low Countries, the Rhineland, Northern Italy, and the Northeastern United States. A few decades later, the Second Industrial Revolution led to ever more massive urbanization and much higher levels of productivity, profit, and prosperity, a pattern that continued into the 20th century. The Islamic gunpowder empires fell into decline and European imperialism brought much of South Asia, Southeast Asia, and almost all of Africa under colonial rule. It was also marked by the collapse of the large S ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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