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Julius Weingarten
Julius Weingarten (2 March 1836 – 16 June 1910) was a German mathematician. He received his doctorate in 1864 from Martin-Luther-Universität Halle-Wittenberg. He made some important contributions to the differential geometry of surfaces In mathematics, the differential geometry of surfaces deals with the differential geometry of smooth manifold, smooth Surface (topology), surfaces with various additional structures, most often, a Riemannian metric. Surfaces have been extensiv ..., such as the Weingarten equations. Notes References * External links * * 19th-century German mathematicians 1836 births 1910 deaths 20th-century German mathematicians Academic staff of Technische Universität Berlin {{Germany-mathematician-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Berlin
Berlin ( ; ) is the Capital of Germany, capital and largest city of Germany, by both area and List of cities in Germany by population, population. With 3.7 million inhabitants, it has the List of cities in the European Union by population within city limits, highest population within its city limits of any city in the European Union. The city is also one of the states of Germany, being the List of German states by area, third smallest state in the country by area. Berlin is surrounded by the state of Brandenburg, and Brandenburg's capital Potsdam is nearby. The urban area of Berlin has a population of over 4.6 million and is therefore the most populous urban area in Germany. The Berlin/Brandenburg Metropolitan Region, Berlin-Brandenburg capital region has around 6.2 million inhabitants and is Germany's second-largest metropolitan region after the Rhine-Ruhr region, as well as the List of EU metropolitan areas by GDP, fifth-biggest metropolitan region by GDP in the European Union. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Freiburg Im Breisgau
Freiburg im Breisgau or simply Freiburg is the List of cities in Baden-Württemberg by population, fourth-largest city of the German state of Baden-Württemberg after Stuttgart, Mannheim and Karlsruhe. Its built-up area has a population of about 355,000 (2021), while the greater Freiburg metropolitan area ("Einzugsgebiet") has about 660,000 (2018). Freiburg is located at the southwestern foothills of the Black Forest, on the Dreisam River, a tributary of the Elz (Rhine), Elz. It is Germany's southwestern- and southernmost city with a population exceeding 100,000. It lies in the Breisgau, one of Germany's warmest regions, in the south of the Upper Rhine Plain. Its city limits reach from the Schauinsland summit () in the Black Forest to east of the French border, while Switzerland is to the south. The city is situated in the major Baden (wine region), wine-growing region of Baden and, together with Offenburg, serves as a tourist entry-point to the scenic Black Forest. According ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Germans
Germans (, ) are the natives or inhabitants of Germany, or sometimes more broadly any people who are of German descent or native speakers of the German language. The Basic Law for the Federal Republic of Germany, constitution of Germany, implemented in 1949 following the end of World War II, defines a German as a German nationality law, German citizen. During the 19th and much of the 20th century, discussions on German identity were dominated by concepts of a common language, culture, descent, and history.. "German identity developed through a long historical process that led, in the late 19th and early 20th centuries, to the definition of the German nation as both a community of descent (Volksgemeinschaft) and shared culture and experience. Today, the German language is the primary though not exclusive criterion of German identity." Today, the German language is widely seen as the primary, though not exclusive, criterion of German identity. Estimates on the total number of Germ ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematics
Mathematics is a field of study that discovers and organizes methods, Mathematical theory, theories and theorems that are developed and Mathematical proof, proved for the needs of empirical sciences and mathematics itself. There are many areas of mathematics, which include number theory (the study of numbers), algebra (the study of formulas and related structures), geometry (the study of shapes and spaces that contain them), Mathematical analysis, analysis (the study of continuous changes), and set theory (presently used as a foundation for all mathematics). Mathematics involves the description and manipulation of mathematical object, abstract objects that consist of either abstraction (mathematics), abstractions from nature orin modern mathematicspurely abstract entities that are stipulated to have certain properties, called axioms. Mathematics uses pure reason to proof (mathematics), prove properties of objects, a ''proof'' consisting of a succession of applications of in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Martin-Luther-Universität Halle-Wittenberg
Martin Luther University Halle-Wittenberg (), also referred to as MLU, is a public research university in the cities of Halle and Wittenberg. It is the largest and oldest university in the German state of Saxony-Anhalt. MLU offers German and international (English) courses leading to academic degrees such as BA, BSc, MA, MSc, doctoral degrees, and habilitation. The university was created in 1817 through the merger of the University of Wittenberg (founded in 1502) and the University of Halle (founded in 1694). MLU is named after Protestant reformer Martin Luther, who was a professor in Wittenberg. Today, the university campus is located in Halle, while ''Leucorea Foundation'' in Wittenberg serves as MLU's convention centre. History University of Wittenberg (''Universität Wittenberg'') was founded in 1502 by Frederick the Wise, Elector of Saxony to propagate the principles of Renaissance humanism. The foundation of the university was heavily criticized, especially wh ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Paul Stäckel
Paul Gustav Samuel Stäckel (20 August 1862, Berlin – 12 December 1919, Heidelberg) was a German mathematician, active in the areas of differential geometry, number theory, and non-Euclidean geometry. In the area of prime number theory, he used the term ''twin prime'' (in its German form, "Primzahlzwilling") for the first time. After passing his ''Abitur'' in 1880 he studied mathematics and physics at the University of Berlin, but also listened to lectures on philosophy, psychology, education, and history. A year later he qualified for teaching in higher education and then taught at ''Gymnasien'' in Berlin. In 1885 he wrote his doctoral dissertation under Leopold Kronecker and Karl Weierstraß. In 1891 he completed his ''Habilitation'' at the University of Halle. Later he worked as a professor at the University of Königsberg ('' außerordentlicher Professor'' from 1895 to 1897), the University of Kiel (''ordentlicher Professor'', 1897 to 1905), University of Hannover (1905 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Weingarten Equations
The Weingarten equations give the expansion of the derivative of the unit normal vector to a surface in terms of the first derivatives of the position vector of a point on the surface. These formulas were established in 1861 by the German mathematician Julius Weingarten. Statement in classical differential geometry Let ''S'' be a surface in three-dimensional Euclidean space that is parametrized by the position vector r(''u'', ''v''). Let ''P'' = ''P''(''u'', ''v'') be a point on the surface. Then : \mathbf_ = \frac , \quad \mathbf_ = \frac are two tangent vectors at point ''P''. Let n(''u'', ''v'') be the unit normal vector and let (''E'', ''F'', ''G'') and (''L'', ''M'', ''N'') be the coefficients of the first and second fundamental forms of this surface, respectively. The Weingarten equation gives the first derivative of the unit normal vector n at point ''P'' in terms of the tangent vectors r''u'' and r''v'': :\mathbf_u = \frac \mathbf_u + \frac \mathbf_v :\mathbf ... [...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, mathematical structure, structure, space, Mathematical model, models, and mathematics#Calculus and analysis, change. History One of the earliest known mathematicians was Thales of Miletus (); 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's theorem. The number of known mathematicians grew when Pythagoras of Samos () 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 math ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Differential Geometry Of Surfaces
In mathematics, the differential geometry of surfaces deals with the differential geometry of smooth manifold, smooth Surface (topology), surfaces with various additional structures, most often, a Riemannian metric. Surfaces have been extensively studied from various perspectives: ''extrinsically'', relating to their embedding in Euclidean space and ''intrinsically'', reflecting their properties determined solely by the distance within the surface as measured along curves on the surface. One of the fundamental concepts investigated is the Gaussian curvature, first studied in depth by Carl Friedrich Gauss, who showed that curvature was an intrinsic property of a surface, independent of its isometry, isometric embedding in Euclidean space. Surfaces naturally arise as Graph of a function, graphs of Function (mathematics), functions of a pair of Variable (mathematics), variables, and sometimes appear in parametric form or as Locus (mathematics), loci associated to Curve#Definitions ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
19th-century German Mathematicians
The 19th century began on 1 January 1801 (represented by the Roman numerals MDCCCI), and ended on 31 December 1900 (MCM). It was the 9th century of the 2nd millennium. It 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, expanded beyond its British homeland for the first time during the 19th century, particularly remaking the economies and societies of the Low Countries, France, 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 Catholic Church, in response to the growing influence and power of modernism, secularism and materialism, formed the First Vatican Council in the late 19th century to deal with such problems and confirm ce ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1836 Births
Events January–March * January 1 — Hill Street Academy is named Colombo Academy and acquired by the Government, establishing the first public school in Sri Lanka. * January 1 – Queen Maria II of Portugal marries Prince Ferdinand Augustus Francis Anthony of Saxe-Coburg-Gotha. * January 5 – Former U.S. Representative Davy Crockett of Tennessee arrives in Texas to join the Texan fight for independence from Mexico. * January 12 ** , with Charles Darwin on board, reaches Sydney. ** Will County, Illinois, is formed. * February 8 – London and Greenwich Railway opens its first section, the first railway in London, England. * February 23 – Texas Revolution: The Battle of the Alamo begins, with an American settler army surrounded by the Mexican Army, under Santa Anna. * February 25 – Samuel Colt receives a United States patent for the Colt revolver, the first revolving barrel multishot firearm. * March 1 – Texas Revolution – Convention of 1836: Delegate ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1910 Deaths
Events January * January 6 – Abé people in the French West Africa colony of Côte d'Ivoire rise against the colonial administration; the rebellion is brutally suppressed by the military. * January 8 – By the Treaty of Punakha, the Himalayan kingdom of Bhutan becomes a protectorate of the British Empire. * January 11 – Charcot Island is discovered by the Antarctic expedition led by French explorer Jean-Baptiste Charcot on the ship '' Pourquoi Pas?'' Charcot returns from his expedition on February 11. * January 12 – Great January Comet of 1910 first observed ( perihelion: January 17). * January 15 – Amidst the constitutional crisis caused by the House of Lords rejecting the People's Budget the January 1910 United Kingdom general election is held resulting in a hung parliament with neither Liberals nor Conservatives gaining a majority. * January 21 – The Great Flood of Paris begins when the Seine overflows its banks. * January 22 – Completion of cons ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
