|
Feodor Deahna
Heinrich Wilhelm Feodor Deahna (8 July 1815 – 8 January 1844) was a German mathematician.. He is known for providing proof of what is now known as Frobenius theorem (differential topology), Frobenius theorem in differential topology, which he published in Crelle's Journal in 1840.. Deahna was born near Bayreuth on July 8, 1815, and was a student at the University of Göttingen in 1834. In 1843 he became an assistant mathematics teacher at the Fulda Gymnasium (Germany), Gymnasium, but he died soon afterwards in Fulda, on January 8, 1844. Selected works * Deahna, F. "Über die Bedingungen der Integrabilitat ....", ''J. Reine Angew. Math.'' 20 (1840) 340-350. References 1815 births 1844 deaths 19th-century German mathematicians Differential geometers Mathematicians from the Kingdom of Bavaria {{Germany-mathematician-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Allgemeine Deutsche Biographie
''Allgemeine Deutsche Biographie'' (ADB, german: Universal German Biography) is one of the most important and comprehensive biographical reference works in the German language. It was published by the Historical Commission of the Bavarian Academy of Sciences between 1875 and 1912 in 56 volumes, printed in Leipzig by Duncker & Humblot. The ADB contains biographies of about 26,500 people who died before 1900 and lived in the German language Sprachraum of their time, including people from the Netherlands before 1648. Its successor, the '' Neue Deutsche Biographie'', was started in 1953 and is planned to be finished in 2023. The index and full-text articles of ADB and NDB are freely available online via the website ''German Biography'' (''Deutsche Biographie ''Deutsche Biographie'' ( en, German Biography) is a German-language online biographical dictionary. It published thus far information about more than 730,000 individuals and families (2016).Historische Kommission bei ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Frobenius Theorem (differential Topology)
In mathematics, Frobenius' theorem gives necessary and sufficient conditions for finding a maximal set of independent solutions of an overdetermined system of first-order homogeneous linear partial differential equations. In modern geometric terms, given a family of vector fields, the theorem gives necessary and sufficient integrability conditions for the existence of a foliation by maximal integral manifolds whose tangent bundles are spanned by the given vector fields. The theorem generalizes the existence theorem for ordinary differential equations, which guarantees that a single vector field always gives rise to integral curves; Frobenius gives compatibility conditions under which the integral curves of ''r'' vector fields mesh into coordinate grids on ''r''-dimensional integral manifolds. The theorem is foundational in differential topology and calculus on manifolds. Introduction In its most elementary form, the theorem addresses the problem of finding a maximal set o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Differential Topology
In mathematics, differential topology is the field dealing with the topological properties and smooth properties of smooth manifolds. In this sense differential topology is distinct from the closely related field of differential geometry, which concerns the ''geometric'' properties of smooth manifolds, including notions of size, distance, and rigid shape. By comparison differential topology is concerned with coarser properties, such as the number of holes in a manifold, its homotopy type, or the structure of its diffeomorphism group. Because many of these coarser properties may be captured algebraically, differential topology has strong links to algebraic topology. The central goal of the field of differential topology is the classification of all smooth manifolds up to diffeomorphism. Since dimension is an invariant of smooth manifolds up to diffeomorphism type, this classification is often studied by classifying the ( connected) manifolds in each dimension separately: * ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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''). History The journal was founded by August Leopold Crelle (Berlin) in 1826 and edited by him until his death in 1855. It was one of the first major mathematical journals that was not a proceedings of an academy. It has published many notable papers, including works of Niels Henrik Abel, Georg Cantor, Gotthold Eisenstein, Carl Friedrich Gauss and Otto Hesse. It was edited by Carl Wilhelm Borchardt from 1856 to 1880, during which time it was known as ''Borchardt's Journal''. The current editor-in-chief is Rainer Weissauer ( Ruprecht-Karls-Universität Heidelberg) Past editors * 1826–1856 August Leopold Crelle * 1856–1880 Carl Wilhelm Borchardt * 1881–1888 Leopold Kronecker, Karl Weierstrass * 1889–1892 Leopold Kronecker * 1892–1902 Lazarus Fuchs * 1903–192 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bayreuth
Bayreuth (, ; bar, Bareid) is a town in northern Bavaria, Germany, on the Red Main river in a valley between the Franconian Jura and the Fichtelgebirge Mountains. The town's roots date back to 1194. In the 21st century, it is the capital of Upper Franconia and has a population of 72,148 (2015). It hosts the annual Bayreuth Festival, at which performances of operas by the 19th-century German composer Richard Wagner are presented. History Middle Ages and Early Modern Period The town is believed to have been founded by the counts of Andechs probably around the mid-12th century,Mayer, Bernd and Rückel, Gert (2009). ''Bayreuth – Tours on Foot'', Heinrichs-Verlag, Bamberg, p.5, . but was first mentioned in 1194 as ''Baierrute'' in a document by Bishop Otto II of Bamberg. The syllable ''-rute'' may mean ''Rodung'' or "clearing", whilst ''Baier-'' indicates immigrants from the Bavarian region. Already documented earlier, were villages later merged into Bayreuth: Seulbitz (i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Göttingen
The University of Göttingen, officially the Georg August University of Göttingen, (german: Georg-August-Universität Göttingen, known informally as Georgia Augusta) is a public research university in the city of Göttingen, Germany. Founded in 1734 by George II, King of Great Britain and Elector of Hanover, and starting classes in 1737, the Georgia Augusta was conceived to promote the ideals of the Enlightenment. It is the oldest university in the state of Lower Saxony and the largest in student enrollment, which stands at around 31,600. Home to many noted figures, it represents one of Germany's historic and traditional institutions. According to an official exhibition held by the University of Göttingen in 2002, 44 Nobel Prize winners had been affiliated with the University of Göttingen as alumni, faculty members or researchers by that year alone. The University of Göttingen was previously supported by the German Universities Excellence Initiative, holds membership ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Fulda
Fulda () (historically in English called Fuld) is a town in Hesse, Germany; it is located on the river Fulda and is the administrative seat of the Fulda district (''Kreis''). In 1990, the town hosted the 30th Hessentag state festival. History Middle Ages In 744 Saint Sturm, a disciple of Saint Boniface, founded the Benedictine monastery of Fulda as one of Boniface's outposts in the reorganization of the church in Germany. It later served as a base from which missionaries could accompany Charlemagne's armies in their political and military campaigns to fully conquer and convert pagan Saxony. The initial grant for the abbey was signed by Carloman, Mayor of the Palace in Austrasia (in office 741–47), the son of Charles Martel. The support of the Mayors of the Palace, and later of the early Pippinid and Carolingian rulers, was important to Boniface's success. Fulda also received support from many of the leading families of the Carolingian world. Sturm, whose tenure as ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Gymnasium (Germany)
''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. Th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1815 Births
Events January * January 2 – Lord Byron marries Anna Isabella Milbanke in Seaham, county of Durham, England. * January 3 – Austria, Britain, and Bourbon-restored France form a secret defensive alliance treaty against Prussia and Russia. * January 8 – Battle of New Orleans: American forces led by Andrew Jackson defeat British forces led by Sir Edward Pakenham. American forces suffer around 60 casualties and the British lose about 2,000 (the battle lasts for about 30 minutes). * January 13 – War of 1812: British troops capture Fort Peter in St. Marys, Georgia, the only battle of the war to take place in the state. * January 15 – War of 1812: Capture of USS ''President'' – American frigate , commanded by Commodore Stephen Decatur, is captured by a squadron of four British frigates. February * February – The Hartford Convention arrives in Washington, D.C. * February 3 – The first commercial cheese factory is foun ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1844 Deaths
In the Philippines, it was the only leap year with 365 days, as December 31 was skipped when 1845 began after December 30. Events January–March * January 15 – The University of Notre Dame, based in the city of the same name, receives its charter from Indiana. * February 27 – The Dominican Republic gains independence from Haiti. * February 28 – A gun on the USS ''Princeton'' explodes while the boat is on a Potomac River cruise, killing two United States Cabinet members and several others. * March 8 ** King Oscar I ascends to the throne of Sweden–Norway upon the death of his father, Charles XIV/III John. ** The Althing, the parliament of Iceland, is reopened after 45 years of closure. * March 9 – Giuseppe Verdi's opera ''Ernani'' debuts at Teatro La Fenice, Venice. * March 12 – The Columbus and Xenia Railroad, the first railroad planned to be built in Ohio, is chartered. * March 13 – The dictator Carlos Antonio López becomes first President of Parag ... [...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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Differential Geometers
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 structur ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
.jpg "Click for more on -> 1844 Deaths")
