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Heinrich Burkhardt
Heinrich Friedrich Karl Ludwig Burkhardt (15 October 1861 – 2 November 1914) was a German mathematician. He famously was one of the two examiners of Albert Einstein's PhD thesis ''Eine neue Bestimmung der Moleküldimensionen''. Of Einstein's thesis he stated: "The mode of treatment demonstrates fundamental mastery of the relevant mathematical methods" and "What I checked, I found to be correct without exception." Biography Burkhardt was born in Schweinfurt. Starting from 1879 he studied under Karl Weierstrass, Alexander von Brill, and Hermann Amandus Schwarz in Munich (at university and technical university), Berlin and Göttingen. He attained a doctorate in 1886 in Munich under Gustav Conrad Bauer with a thesis entitled: ''Beziehungen zwischen der Invariantentheorie und der Theorie algebraischer Integrale und ihrer Umkehrungen'' (Relations between the invariant theory and the theory of algebraic integrals and their inverses). In 1887 he was an assistant at Göttingen and ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Schweinfurt
Schweinfurt ( , ; ) is a city in the district of Lower Franconia in Bavaria, Germany. It is the administrative centre of the surrounding district (''Landkreis'') of Schweinfurt and a major industrial, cultural and educational hub. The urban agglomeration has 100,200 (2018) and the city's catchment area, including the Main-Rhön region and parts of South Thuringia, 759,000 inhabitants. Schweinfurt was first documented in 791 and is one of the oldest cities in Bavaria. Around 1000 the Margraves of Schweinfurt controlled large parts of northern Bavaria. From the 12th century until 1802 Schweinfurt was a Free imperial city within the Holy Roman Empire, around 1700 a humanistic centre and in 1770 began the 250-year industrial history. During World War II, the Americans suffered their biggest air defeat over Schweinfurt in the Second Raid on Schweinfurt ''(Black Thursday)''. On 11 April 1945, the US Army invaded the city. During the Cold ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hermann Amandus Schwarz
Karl Hermann Amandus Schwarz (; 25 January 1843 – 30 November 1921) was a German mathematician, known for his work in complex analysis. Life Schwarz was born in Hermsdorf, Silesia (now Jerzmanowa, Poland). In 1868 he married Marie Kummer, who was the daughter to the mathematician Ernst Eduard Kummer and Ottilie née Mendelssohn (a daughter of Nathan Mendelssohn's and granddaughter of Moses Mendelssohn). Schwarz and Kummer had six children, including his daughter Emily Schwarz. Schwarz originally studied chemistry in Berlin but Ernst Eduard Kummer and Karl Theodor Wilhelm Weierstrass persuaded him to change to mathematics. He received his Ph.D. from the Universität Berlin in 1864 and was advised by Kummer and Weierstrass. Between 1867 and 1869 he worked at the University of Halle, then at the Swiss Federal Polytechnic. From 1875 he worked at Göttingen University, dealing with the subjects of complex analysis, differential geometry and the calculus of variatio ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Technical University Of Munich Alumni
Technical may refer to: * Technical (vehicle), an improvised fighting vehicle * Technical analysis, a discipline for forecasting the future direction of prices through the study of past market data * Technical drawing, showing how something is constructed or functions (also known as drafting) * Technical file, set of technical drawings * Technical death metal, a subgenre of death metal that focuses on complex rhythms, riffs, and song structures * Technical foul, an infraction of the rules in basketball usually concerning unsportsmanlike non-contact behavior * Technical rehearsal for a performance, often simply referred to as a technical * Technical support, a range of services providing assistance with technology products * Vocational education, often known as technical education * Legal technicality, an aspect of law See also * Lego Technic, a line of Lego toys * Tech (other) * Technicals (other) * Technics (other) * Technique (other) * Tec ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
German Historians Of Mathematics
German(s) may refer to: * Germany (of or related to) **Germania (historical use) * Germans, citizens of Germany, people of German ancestry, or native speakers of the German language ** For citizens of Germany, see also German nationality law **Germanic peoples (Roman times) * German language **any of the Germanic languages * German cuisine, traditional foods of Germany People * German (given name) * German (surname) * Germán, a Spanish name Places * German (parish), Isle of Man * German, Albania, or Gërmej * German, Bulgaria * German, Iran * German, North Macedonia * German, New York, U.S. * Agios Germanos, Greece Other uses * German (mythology), a South Slavic mythological being * Germans (band), a Canadian rock band * "German" (song), a 2019 song by No Money Enterprise * ''The German'', a 2008 short film * "The Germans", an episode of ''Fawlty Towers'' * ''The German'', a nickname for Congolese rebel André Kisase Ngandu See also * Germanic (other) * Germa ... [...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] |
Alfred Kleiner
Alfred Kleiner (24 April 1849 – 3 July 1916) was a Swiss physicist and Professor of Experimental Physics at the University of Zurich. He was Albert Einstein's doctoral advisor or ''Doktorvater.'' Initially Einstein's advisor was Heinrich F. Weber. However, they had a major falling out, and Einstein chose to switch to Kleiner. Education He received his PhD in 1874 from the University of Zurich, for a thesis entitled ''Zur Theorie der intermittirenden Netzhautreizung'' (on the theory of diffusion of light), under Johann Jakob Müller. Career Alfred Kleiner was professor of physics at the University of Zurich. He also held several other positions and titles throughout his career, including: ''Privatdozent'' (private lecturer) in 1870, ''Außerordentlicher Professor'' (Associate Professor) in 1880, ''Ordentlicher Professor'' (Full Professor) in 1885, ''Rektor'' (Chancellor) from 1908 to 1910, ''Honorarprofessor'' (Emeritus Professor) in 1915, and ''Privatdozent'' from 1875 t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Internet Archive
The Internet Archive is an American digital library with the stated mission of "universal access to all knowledge". It provides free public access to collections of digitized materials, including websites, software applications/games, music, movies/videos, moving images, and millions of books. In addition to its archiving function, the Archive is an activist organization, advocating a free and open Internet. , the Internet Archive holds over 35 million books and texts, 8.5 million movies, videos and TV shows, 894 thousand software programs, 14 million audio files, 4.4 million images, 2.4 million TV clips, 241 thousand concerts, and over 734 billion web pages in the Wayback Machine. The Internet Archive allows the public to upload and download digital material to its data cluster, but the bulk of its data is collected automatically by its web crawlers, which work to preserve as much of the public web as possible. Its web archiving, web archive, the Wayback Machine, contains hu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
München
Munich ( ; german: München ; bar, Minga ) is the capital and most populous city of the German state of Bavaria. With a population of 1,558,395 inhabitants as of 31 July 2020, it is the third-largest city in Germany, after Berlin and Hamburg, and thus the largest which does not constitute its own state, as well as the 11th-largest city in the European Union. The city's metropolitan region is home to 6 million people. Straddling the banks of the River Isar (a tributary of the Danube) north of the Bavarian Alps, Munich is the seat of the Bavarian administrative region of Upper Bavaria, while being the most densely populated municipality in Germany (4,500 people per km2). Munich is the second-largest city in the Bavarian dialect area, after the Austrian capital of Vienna. The city was first mentioned in 1158. Catholic Munich strongly resisted the Reformation and was a political point of divergence during the resulting Thirty Years' War, but remained physically unt ... [...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] |
Series Expansion
In mathematics, a series expansion is an expansion of a function into a series, or infinite sum. It is a method for calculating a function that cannot be expressed by just elementary operators (addition, subtraction, multiplication and division). The resulting so-called ''series'' often can be limited to a finite number of terms, thus yielding an approximation of the function. The fewer terms of the sequence are used, the simpler this approximation will be. Often, the resulting inaccuracy (i.e., the partial sum of the omitted terms) can be described by an equation involving Big O notation (see also asymptotic expansion). The series expansion on an open interval will also be an approximation for non-analytic functions. Types of series expansions There are several kinds of series expansions, listed below. A ''Taylor series'' is a power series based on a function's derivatives at a single point. More specifically, if a function f: U\to\mathbb is infinitely differentiable around ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Elliptical Function
In the mathematical field of complex analysis, elliptic functions are a special kind of meromorphic functions, that satisfy two periodicity conditions. They are named elliptic functions because they come from elliptic integrals. Originally those integrals occurred at the calculation of the arc length of an ellipse. Important elliptic functions are Jacobi elliptic functions and the Weierstrass \wp-function. Further development of this theory led to hyperelliptic functions and modular forms. Definition A meromorphic function is called an elliptic function, if there are two \mathbb- linear independent complex numbers \omega_1,\omega_2\in\mathbb such that : f(z + \omega_1) = f(z) and f(z + \omega_2) = f(z), \quad \forall z\in\mathbb. So elliptic functions have two periods and are therefore also called ''doubly periodic''. Period lattice and fundamental domain Iff is an elliptic function with periods \omega_1,\omega_2 it also holds that : f(z+\gamma)=f(z) for every lin ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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