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Mergelyan Theorem
Sergey Mergelyan (; 19 May 1928 – 20 August 2008) was a Soviet Union, Soviet and Armenians, Armenian mathematician, who made major contributions to the Approximation theory. The modern Complex Approximation Theory is based on Mergelyan's classical work. Corresponding Member of the Academy of Sciences of the Soviet Union (since 1953), member of Armenian National Academy of Sciences, NAS ASSR (since 1956). The surname "Mergelov" given at birth was changed for patriotic reasons to the more Armenian-sounding "Mergelyan" by the mathematician himself before his trip to Moscow. He was a laureate of the USSR State Prize, Stalin Prize (1952) and the Order of St. Mesrop Mashtots (2008). He was the youngest Doctor of Sciences in the history of the USSR (at the age of 20), and the youngest corresponding member of the Academy of Sciences of the Soviet Union (the title was conferred at the age of 24). During his postgraduate studies, the 20-year-old Mergelyan solved one of the fundamental p ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
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Simferopol
Simferopol ( ), also known as Aqmescit, is the second-largest city on the Crimea, Crimean Peninsula. The city, along with the rest of Crimea, is internationally recognised as part of Ukraine, but controlled by Russia. It is considered the capital of the Autonomous Republic of Crimea. Since 2014 it has been under the ''de facto'' control of Russia, which Annexation of Crimea by the Russian Federation, annexed Crimea that year and regards Simferopol as the capital of the Republic of Crimea (Russia), Republic of Crimea. Simferopol is an important political, economic and transport hub of the peninsula, and serves as the administrative centre of both Simferopol Municipality and the surrounding Simferopol District. Its population was After the 1784 Annexation of Crimea by the Russian Empire, annexation of the Crimean Khanate by the Russian Empire, the Russian empress decreed the foundation of a city named Simferopol on the location of the Crimean Tatars, Crimean Tatar town of Old ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
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Doctor Of Sciences
A Doctor of Sciences, abbreviated д-р наук or д. н.; ; ; ; is a higher doctoral degree in the Russian Empire, Soviet Union and many Commonwealth of Independent States countries. One of the prerequisites of receiving a Doctor of Sciences degree is having a PhD-equivalent Candidate of Sciences degree beforehand. In addition, the Doctor of Sciences conferral also requires applicants to demonstrate significant and outstanding contributions to their research field. This degree is generally regarded as an honor and recognition for lifetime academic achievements rather than an ordinary academic degree by courses and theses. History The "Doctor of Sciences" degree was introduced in the Russian Empire in 1819 and abolished in 1917. Later it was revived in the USSR on January 13, 1934, by a decision of the Council of People's Commissars of the USSR. By the same decision, a lower degree, " Candidate of Sciences" (''kandidat nauk''), roughly the Russian equivalent to the research ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
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Carl Runge
Carl David Tolmé Runge (; 30 August 1856 – 3 January 1927) was a German mathematician, physicist, and spectroscopist. He was co-developer and co-eponym of the Runge–Kutta method (), in the field of what is today known as numerical analysis. Life and work Runge spent the first few years of his life in Havana, where his father Julius Runge was the Danish consul. His mother was Fanny Schwartz Tolmé. The family later moved to Bremen, where his father died early (in 1864). In 1880, he received his Ph.D. in mathematics at Berlin, where he studied under Karl Weierstrass. In 1886, he became a professor at the Technische Hochschule Hannover in Hanover, Germany. His interests included mathematics, spectroscopy, geodesy, and astrophysics. In addition to pure mathematics, he did experimental work studying spectral lines of various elements (together with Heinrich Kayser), and was very interested in the application of this work to astronomical spectroscopy. In 1904, on the ini ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
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Karl Weierstrass
Karl Theodor Wilhelm Weierstrass (; ; 31 October 1815 – 19 February 1897) was a German mathematician often cited as the " father of modern analysis". Despite leaving university without a degree, he studied mathematics and trained as a school teacher, eventually teaching mathematics, physics, botany and gymnastics. He later received an honorary doctorate and became professor of mathematics in Berlin. Among many other contributions, Weierstrass formalized the definition of the continuity of a function and complex analysis, proved the intermediate value theorem and the Bolzano–Weierstrass theorem, and used the latter to study the properties of continuous functions on closed bounded intervals. Biography Weierstrass was born into a Roman Catholic family in Ostenfelde, a village near Ennigerloh, in the Province of Westphalia. Karl Weierstrass was the son of Wilhelm Weierstrass and Theodora Vonderforst, the former of whom was a government official and both of whom were Cat ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
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Complex Analysis
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 dea ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
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Harmonic Function
In mathematics, mathematical physics and the theory of stochastic processes, a harmonic function is a twice continuously differentiable function f\colon U \to \mathbb R, where is an open subset of that satisfies Laplace's equation, that is, \frac + \frac + \cdots + \frac = 0 everywhere on . This is usually written as \nabla^2 f = 0 or \Delta f = 0 Etymology of the term "harmonic" The descriptor "harmonic" in the name "harmonic function" originates from a point on a taut string which is undergoing harmonic motion. The solution to the differential equation for this type of motion can be written in terms of sines and cosines, functions which are thus referred to as "harmonics." Fourier analysis involves expanding functions on the unit circle in terms of a series of these harmonics. Considering higher dimensional analogues of the harmonics on the unit ''n''-sphere, one arrives at the spherical harmonics. These functions satisfy Laplace's equation and, over time, "harmon ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
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Indira Gandhi
Indira Priyadarshini Gandhi (Given name, ''née'' Nehru; 19 November 1917 – 31 October 1984) was an Indian politician and stateswoman who served as the Prime Minister of India, prime minister of India from 1966 to 1977 and again from 1980 until Assassination of Indira Gandhi, her assassination in 1984. She was India's first and, to date, only female prime minister, and a central figure in Indian politics as the leader of the Indian National Congress (INC). She was the daughter of Jawaharlal Nehru, the first prime minister of India, and the mother of Rajiv Gandhi, who succeeded her as prime minister. Gandhi's cumulative tenure of 15 years and 350 days makes her the second-longest-serving Indian prime minister after her father. Henry Kissinger described her as an "Iron Lady", a nickname that became associated with her tough personality. During her father Jawaharlal Nehru's premiership from 1947 to 1964, Gandhi was his hostess and accompanied him on his numerous foreign trips. I ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
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Alexander Gelfond
Alexander Osipovich Gelfond (; 24October 19067November 1968) was a Soviet mathematician. Gelfond's theorem, also known as the Gelfond–Schneider theorem, is named after him. Biography Alexander Gelfond was born in Saint Petersburg, Russian Empire, the son of a professional physician and amateur philosopher Osip Gelfond. He entered Moscow State University in 1924, started his postgraduate studies there in 1927, and obtained his Ph.D. in 1930. His advisors were Aleksandr Khinchin (1894-1959) and Vyacheslav Stepanov (1889-1950). In 1930, he stayed for five months in Germany (in Berlin and Göttingen) where he worked with Edmund Landau, Carl Ludwig Siegel, and David Hilbert. In 1931 he started teaching as a Professor at the Moscow State University and worked there until the last day of his life. Since 1933 he also worked at the Steklov Institute of Mathematics. In 1939, he was elected a Corresponding member of the Academy of Sciences of the Soviet Union for his works in the f ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
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Sergey Nikolsky
Sergey Mikhailovich Nikolsky (; 30 April 1905 – 9 November 2012) was a Soviet and Russian mathematician. Biography Nikolsky was born in Talitsa, which was at that time located in Kamyshlovsky Uyezd of the Russian Empire. He had been an Academician since 28 November 1972. He also had won many scientific awards. At the age of 92 he was still actively giving lectures in Moscow Institute of Physics and Technology. In 2005, he was only giving talks at scientific conferences, but was still working in MIPT, at the age of 100. He died in Moscow in November 2012 at the age of 107. Scientific activities Nikolsky made fundamental contributions to functional analysis, approximation of functions, quadrature formulas, enclosed functional spaces and their applications to variational solutions of partial differential equations In mathematics, a partial differential equation (PDE) is an equation which involves a multivariable function and one or more of its partial derivatives. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
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Mikhail Lavrentyev
Mikhail Alekseyevich Lavrentyev (or Lavrentiev, ; November 19, 1900 – October 15, 1980) was a Soviet mathematician and hydrodynamicist. Early years Lavrentyev was born in Kazan, where his father was an instructor at a college (he later became a professor at Kazan University, then Moscow University). He entered Kazan University, and, when his family moved to Moscow in 1921, he transferred to the Department of Physics and Mathematics of Moscow University. He graduated in 1922. He continued his studies in the university in 1923-26 as a graduate student of Nikolai Luzin. Although Luzin was alleged to plagiarize in science and indulge in anti-Sovietism by some of his students in 1936, Lavrentyev did not participate in the notorious political persecution of his teacher which is known as the Luzin case or Luzin affair. In fact Luzin was a friend of his father. Mid career In 1927, Lavrentyev spent half a year in France, collaborating with French mathematicians, and upon returned ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
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Artashes Shahinian
Artashes Shahinian (, December 19, 1906 – May 14, 1978) was a Soviet Armenian mathematician, Doctor of Sciences in Physics and Mathematics (1944), Professor (1944), and member of the Armenian Academy of Sciences (1947, (1947, correspondent member 1945). Honoured scientist of the ArmSSR (1961). He worked in complex analysis, authoring a number of research papers and research monographs in mathematics. Being a talented mentor and professor, Shahinian was a teacher and research supervisor for many young gifted mathematicians. He is the founder of the Armenian research mathematical school, which already in the 1940s and early 1950s was known internationally. Academician Shahinian was also known by his speeches and publications on many questions of public importance in Armenia. Some known Armenian poets, writers, and painters of the time have witnessed that Shahinyan had professional level knowledge in poetry, history, and arts. It is well known that he also shared that knowledge wit ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
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Yerevan
Yerevan ( , , ; ; sometimes spelled Erevan) is the capital and largest city of Armenia, as well as one of the world's List of oldest continuously inhabited cities, oldest continuously inhabited cities. Situated along the Hrazdan River, Yerevan is the administrative, cultural, and industrial center of the country, as its primate city. It has been the Historical capitals of Armenia, capital since 1918, the Historical capitals of Armenia, fourteenth in the history of Armenia and the seventh located in or around the Ararat Plain. The city also serves as the seat of the Araratian Pontifical Diocese, which is the largest diocese of the Armenian Apostolic Church and one of the oldest dioceses in the world. The history of Yerevan dates back to the 8th century BC, with the founding of the fortress of Erebuni Fortress, Erebuni in 782 BC by King Argishti I of Urartu, Argishti I of Urartu at the western extreme of the Ararat Plain. Erebuni was "designed as a great administrative and reli ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |