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Ernst Leonard Lindelöf
Ernst Leonard Lindelöf (; 7 March 1870 – 4 June 1946) was a Finnish mathematician, who made contributions in real analysis, complex analysis and topology. Lindelöf spaces are named after him. He was the son of mathematician Lorenz Leonard Lindelöf and brother of the philologist . He was secretary of the Finnish Society of Science and Letters (societas scientiarum Fennica) in its centenary year, 1938. Biography Lindelöf studied at the University of Helsinki, where he completed his PhD in 1893, became a docent in 1895 and professor of Mathematics in 1903. He was a member of the Finnish Society of Sciences and Letters. In addition to working in a number of different mathematical domains including complex analysis, conformal mappings, topology, ordinary differential equations and the gamma function, Lindelöf promoted the study of the history of Finnish mathematics. He is known for the Picard–Lindelöf theorem on differential equations and the Phragmén–Lindelöf princi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Helsinki
Helsinki () is the Capital city, capital and most populous List of cities and towns in Finland, city in Finland. It is on the shore of the Gulf of Finland and is the seat of southern Finland's Uusimaa region. About people live in the municipality, with million in the Helsinki capital region, capital region and million in the Helsinki metropolitan area, metropolitan area. As the most populous List of urban areas in Finland by population, urban area in Finland, it is the country's most significant centre for politics, education, finance, culture, and research. Helsinki is north of Tallinn, Estonia, east of Stockholm, Sweden, and west of Saint Petersburg, Russia. Helsinki has significant History of Helsinki, historical connections with these three cities. Together with the cities of Espoo, Vantaa and Kauniainen—and surrounding commuter towns, including the neighbouring municipality of Sipoo to the east—Helsinki forms a Helsinki metropolitan area, metropolitan are ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Lorenz Leonard Lindelöf
Lorenz Leonard Lindelöf (13 November 1827, Karvia, Finland – 3 March 1908, Helsinki) was a Finnish mathematician, astronomer and politician. Biography Lindelöf grew up in a poor family. He learned German and French and studied astronomy and mathematics at the University of Helsinki. He initially specialized in astronomy at the graduate level and was at Pulkovo Observatory in 1855–1856. After his completion of his PhD (Promotierung), Lindelöf from 1857 to 1874 held the professorial chair of mathematics in Helsinki and from 1869 to 1872 was the rector of the university. He then resigned his professorial chair in favor of Mittag-Leffler and turned to politics. Lindelöf was from 1874 to 1902 minister of state education in Finland and also did actuarial work for Kaleva Mutual Insurance Company. In 1883 he was knighted and in 1888 was a member of the State Council. He was in the Finnish Parliament, served on many committees and was in 1900 District Marshal. Lindelöf publishe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1870 Births
Events January * January 1 ** The first edition of ''The Northern Echo'' newspaper is published in Priestgate, Darlington, England. ** Plans for the Brooklyn Bridge are completed. * January 3 – Construction of the Brooklyn Bridge begins in New York City. * January 6 – The ''Musikverein'', Vienna, is inaugurated in Austria-Hungary. * January 10 – John D. Rockefeller incorporates Standard Oil. * January 15 – A political cartoon for the first time symbolizes the United States Democratic Party with a donkey (''A Live Jackass Kicking a Dead Lion'' by Thomas Nast for ''Harper's Weekly''). * January 23 – Marias Massacre: U.S. soldiers attack a peaceful camp of Piegan Blackfeet Indians, led by chief Heavy Runner. * January 26 – Reconstruction Era (United States): Virginia rejoins the Union. This year it adopts a Constitution of Virginia#1870, new Constitution, drawn up by John Curtiss Underwood, expanding suffrage to all male citizens over 21, in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Acta Mathematica
''Acta Mathematica'' is a peer-reviewed open-access scientific journal covering research in all fields of mathematics. According to Cédric Villani, this journal is "considered by many to be the most prestigious of all mathematical research journals".. According to the ''Journal Citation Reports'', the journal has a 2020 impact factor of 4.273, ranking it 5th out of 330 journals in the category "Mathematics". Publication history The journal was established by Gösta Mittag-Leffler in 1882 and is published by Institut Mittag-Leffler, a research institute for mathematics belonging to the Royal Swedish Academy of Sciences. The journal was printed and distributed by Springer from 2006 to 2016. Since 2017, Acta Mathematica has been published electronically and in print by International Press. Its electronic version is open access without publishing fees. Poincaré episode The journal's "most famous episode" (according to Villani) concerns Henri Poincaré, who won a prize offered in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Lars Edvard Phragmén
Lars Edvard Phragmén (2 September 1863, Örebro – 14 March 1937) was a Swedish mathematician who made contributions to complex analysis, voting theory, and actuarial science. He succeeded Sofia Kovalevskaia as professor of mathematical analysis at Stockholm University in 1892, where his research culminated in the development of the Phragmén–Lindelöf principle, and later served as president of the board of the Mittag-Leffler Institute. His pioneering "load-balancing" voting methods for proportional representation have experienced renewed interest in modern social choice theory and found practical application in Swedish parliamentary elections. Early life and career He was the son of a college professor and studied at Uppsala University and Stockholm University, graduating from Uppsala in 1889. He succeeded Sofia Kovalevskaia as professor of mathematical analysis at Stockholm University in 1892, and in 1884 provided a new proof of the Cantor–Bendixson theorem. His resear ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Complex Function Theory
Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates functions of complex numbers. It is helpful in many branches of mathematics, including algebraic geometry, number theory, analytic combinatorics, and applied mathematics, as well as in physics, including the branches of hydrodynamics, thermodynamics, quantum mechanics, and twistor theory. By extension, use of complex analysis also has applications in engineering fields such as nuclear, aerospace, mechanical and electrical engineering. As a differentiable function of a complex variable is equal to the sum function given by its Taylor series (that is, it is analytic), complex analysis is particularly concerned with analytic functions of a complex variable, that is, ''holomorphic functions''. The concept can be extended to functions of several complex variables. Complex analysis is contrasted with real analysis, which deals wit ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Maximum Modulus Principle
In mathematics, the maximum modulus principle in complex analysis states that if f is a holomorphic function, then the modulus , f, cannot exhibit a strict maximum that is strictly within the domain of f. In other words, either f is locally a constant function, or, for any point z_0 inside the domain of f there exist other points arbitrarily close to z_0 at which , f, takes larger values. Formal statement Let f be a holomorphic function on some bounded and connected open subset D of the complex plane \mathbb and taking complex values. If z_0 is a point in D such that :, f(z_0), \ge , f(z), for all z in some neighborhood of z_0, then f is constant on D. This statement can be viewed as a special case of the open mapping theorem, which states that a nonconstant holomorphic function maps open sets to open sets: If , f, attains a local maximum at z, then the image of a sufficiently small open neighborhood of z cannot be open, so f is constant. Related statement Suppose th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Gamma Function
In mathematics, the gamma function (represented by Γ, capital Greek alphabet, Greek letter gamma) is the most common extension of the factorial function to complex numbers. Derived by Daniel Bernoulli, the gamma function \Gamma(z) is defined for all complex numbers z except non-positive integers, and for every positive integer z=n, \Gamma(n) = (n-1)!\,.The gamma function can be defined via a convergent improper integral for complex numbers with positive real part: \Gamma(z) = \int_0^\infty t^ e^\textt, \ \qquad \Re(z) > 0\,.The gamma function then is defined in the complex plane as the analytic continuation of this integral function: it is a meromorphic function which is holomorphic function, holomorphic except at zero and the negative integers, where it has simple Zeros and poles, poles. The gamma function has no zeros, so the reciprocal gamma function is an entire function. In fact, the gamma function corresponds to the Mellin transform of the negative exponential functi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ordinary Differential Equation
In mathematics, an ordinary differential equation (ODE) is a differential equation (DE) dependent on only a single independent variable (mathematics), variable. As with any other DE, its unknown(s) consists of one (or more) Function (mathematics), function(s) and involves the derivatives of those functions. The term "ordinary" is used in contrast with partial differential equation, ''partial'' differential equations (PDEs) which may be with respect to one independent variable, and, less commonly, in contrast with stochastic differential equations, ''stochastic'' differential equations (SDEs) where the progression is random. Differential equations A linear differential equation is a differential equation that is defined by a linear polynomial in the unknown function and its derivatives, that is an equation of the form :a_0(x)y +a_1(x)y' + a_2(x)y'' +\cdots +a_n(x)y^+b(x)=0, where a_0(x),\ldots,a_n(x) and b(x) are arbitrary differentiable functions that do not need to be linea ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Conformal Mapping
In mathematics, a conformal map is a function that locally preserves angles, but not necessarily lengths. More formally, let U and V be open subsets of \mathbb^n. A function f:U\to V is called conformal (or angle-preserving) at a point u_0\in U if it preserves angles between directed curves through u_0, as well as preserving orientation. Conformal maps preserve both angles and the shapes of infinitesimally small figures, but not necessarily their size or curvature. The conformal property may be described in terms of the Jacobian derivative matrix of a coordinate transformation. The transformation is conformal whenever the Jacobian at each point is a positive scalar times a rotation matrix (orthogonal with determinant one). Some authors define conformality to include orientation-reversing mappings whose Jacobians can be written as any scalar times any orthogonal matrix. For mappings in two dimensions, the (orientation-preserving) conformal mappings are precisely the locally ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Finnish Society Of Sciences And Letters
The Finnish Society of Sciences and Letters (, , ) is a Finnish learned society for natural sciences, social sciences and humanities. It is a bilingual (Swedish and Finnish) science academy and the oldest of the four science academies in Finland. The society was founded in 1838 and is based in Helsinki. It has a total of 120 full ordinary Finnish members, excluding members who have reached the age of 67 (a member who reaches the age of 67 retains the rights as a member but leaves his or her chair open for election of a new member), and about 120 foreign members. It is divided into four sections: I: mathematics and physics, II: biosciences, III: humanities, and IV: social sciences. The society publishes a yearbook, ''Sphinx'', and the book series ''Commentationes Humanarum Litterarum'', ''Commentationes Scientiarum Socialium'', ''Bidrag till kännedom av Finlands natur och folk'' and ''The History of Learning and Science in Finland 1828-1918''. It also awards a number of prizes a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Professor
Professor (commonly abbreviated as Prof.) is an Academy, academic rank at university, universities and other tertiary education, post-secondary education and research institutions in most countries. Literally, ''professor'' derives from Latin as a 'person who professes'. Professors are usually experts in their field and teachers of the highest rank. In most systems of List of academic ranks, academic ranks, "professor" as an unqualified title refers only to the most senior academic position, sometimes informally known as "full professor". In some countries and institutions, the word ''professor'' is also used in titles of lower ranks such as associate professor and assistant professor; this is particularly the case in the United States, where the unqualified word is also used colloquially to refer to associate and assistant professors as well, and often to instructors or lecturers. Professors often conduct original research and commonly teach undergraduate, Postgraduate educa ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
