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Lobachevsky
Nikolai Ivanovich Lobachevsky ( rus, Никола́й Ива́нович Лобаче́вский, p=nʲikɐˈlaj ɪˈvanəvʲɪtɕ ləbɐˈtɕɛfskʲɪj, a=Ru-Nikolai_Ivanovich_Lobachevsky.ogg; – ) was a Russian mathematician and geometer, known primarily for his work on hyperbolic geometry, otherwise known as Lobachevskian geometry, and also for his fundamental study on Dirichlet integrals, known as the Lobachevsky integral formula. William Kingdon Clifford called Lobachevsky the "Copernicus of Geometry" due to the revolutionary character of his work. Biography Nikolai Lobachevsky was born either in or near the city of Nizhny Novgorod in the Russian Empire (now in Nizhny Novgorod Oblast, Russia) in 1792 to parents of Russian and Polish origin – Ivan Maksimovich Lobachevsky and Praskovia Alexandrovna Lobachevskaya.Victor J. Katz. ''A history of mathematics: Introduction''. Addison-Wesley. 2009. p. 842. Stephen Hawking. ''God Created the Integers: The Mathematical Br ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kazan State University
Kazan (Volga region) Federal University (russian: Казанский (Приволжский) федеральный университет, tt-Cyrl, Казан (Идел буе) федераль университеты) is a public research university located in Kazan, Russia. Founded in 1804 as Imperial Kazan University, astronomer Nikolai Ivanovich Lobachevsky served there as the rector from 1837 until 1876. In 1929, the university was renamed in honour of its student Vladimir Ilyich Ulyanov (Lenin). The university is known as the birthplace of organic chemistry due to works by Aleksandr Butlerov, Vladimir Markovnikov, Aleksandr Arbuzov, and the birthplace of electron spin resonance discovered by Evgeny Zavoisky. In 2011, Kazan University received a federal status. It is also one of 18 Russian universities that were initially selected to participate in the Project 5-100, coordinated by the Government of the Russian Federation and aimed to improve their international competit ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Lobachevsky (other)
Nikolai Lobachevsky (1792–1856) was a Russian mathematician. Lobachevsky (Лобачевский ; also Lobachevskij and Lobachevskiy; feminine: Lobachevskaya), a Russian-language surname, may also refer to: * 1858 Lobachevskij, a main-belt asteroid * N. I. Lobachevsky State University of Nizhny Novgorod or Lobachevsky University, Novgorod Oblast, Russia * Lobachevskiy (crater), a crater on the moon * Lobachevsky Prize The Lobachevsky Prize, awarded by the Russian Academy of Sciences, and the Lobachevsky Medal, awarded by the Kazan State University, are mathematical awards in honor of Nikolai Ivanovich Lobachevsky. History The Lobachevsky Prize was established ..., including the Lobachevsky Medal * Lobachevsky function, also called the Clausen function * "Lobachevsky" (song), a humorous song by Tom Lehrer * Lobachevskian or hyperbolic geometry See also * Łobaczewski (surname), the Polish-language equivalent of the surname {{Disambig, surname ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hyperbolic Geometry
In mathematics, hyperbolic geometry (also called Lobachevskian geometry or Bolyai– Lobachevskian geometry) is a non-Euclidean geometry. The parallel postulate of Euclidean geometry is replaced with: :For any given line ''R'' and point ''P'' not on ''R'', in the plane containing both line ''R'' and point ''P'' there are at least two distinct lines through ''P'' that do not intersect ''R''. (Compare the above with Playfair's axiom, the modern version of Euclid's parallel postulate.) Hyperbolic plane geometry is also the geometry of pseudospherical surfaces, surfaces with a constant negative Gaussian curvature. Saddle surfaces have negative Gaussian curvature in at least some regions, where they locally resemble the hyperbolic plane. A modern use of hyperbolic geometry is in the theory of special relativity, particularly the Minkowski model. When geometers first realised they were working with something other than the standard Euclidean geometry, they described their geomet ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Lobachevskian Geometry
In mathematics, hyperbolic geometry (also called Lobachevskian geometry or Bolyai– Lobachevskian geometry) is a non-Euclidean geometry. The parallel postulate of Euclidean geometry is replaced with: :For any given line ''R'' and point ''P'' not on ''R'', in the plane containing both line ''R'' and point ''P'' there are at least two distinct lines through ''P'' that do not intersect ''R''. (Compare the above with Playfair's axiom, the modern version of Euclid's parallel postulate.) Hyperbolic plane geometry is also the geometry of pseudospherical surfaces, surfaces with a constant negative Gaussian curvature. Saddle surfaces have negative Gaussian curvature in at least some regions, where they locally resemble the hyperbolic plane. A modern use of hyperbolic geometry is in the theory of special relativity, particularly the Minkowski model. When geometers first realised they were working with something other than the standard Euclidean geometry, they described their geomet ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Johann Christian Martin Bartels
Johann Christian Martin Bartels (12 August 1769 – ) was a German mathematician. He was the tutor of Carl Friedrich Gauss in Brunswick and the educator of Lobachevsky at the University of Kazan. Biography Bartels was born in Brunswick, in the Duchy of Brunswick-Lüneburg (now part of Lower Saxony, Germany), the son of pewterer Heinrich Elias Friedrich Bartels and his wife Johanna Christine Margarethe Köhler. In his childhood he showed a great interest in mathematics. In 1783 he was employed as an assistant to the teacher Büttner in the Katherinenschule in Brunswick. He became acquainted with Carl Friedrich Gauss there and encouraged his talent and recommended him to the Duke of Brunswick who awarded Gauss a fellowship to the Collegium Carolinum (now Technical University of Brunswick). A friendship developed between Gauss and Bartels and they corresponded between 1799 and 1823. From 23 August 1788 he was a visitor at the Collegium Carolinum in Brunswick. On 23 October ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Geometry
Geometry (; ) is, with arithmetic, one of the oldest branches of mathematics. It is concerned with properties of space such as the distance, shape, size, and relative position of figures. A mathematician who works in the field of geometry is called a ''geometer''. Until the 19th century, geometry was almost exclusively devoted to Euclidean geometry, which includes the notions of point, line, plane, distance, angle, surface, and curve, as fundamental concepts. During the 19th century several discoveries enlarged dramatically the scope of geometry. One of the oldest such discoveries is Carl Friedrich Gauss' ("remarkable theorem") that asserts roughly that the Gaussian curvature of a surface is independent from any specific embedding in a Euclidean space. This implies that surfaces can be studied ''intrinsically'', that is, as stand-alone spaces, and has been expanded into the theory of manifolds and Riemannian geometry. Later in the 19th century, it appeared that geometries ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Lobachevsky Integral Formula
In mathematics, Dirichlet integrals play an important role in distribution theory. We can see the Dirichlet integral in terms of distributions. One of those is the improper integral of the sinc function over the positive real line, : \int_0^\infty \frac x \, dx =\int_0^\infty \frac \, dx = \frac \pi 2. Lobachevsky's Dirichlet integral formula Let f(x) be a continuous function satisfying the \pi-periodic assumption f(x+\pi)=f(x), and f(\pi-x)=f(x), for 0\leq x<\infty. If the is taken to be an , we have |
Geometer
A geometer is a mathematician whose area of study is geometry. Some notable geometers and their main fields of work, chronologically listed, are: 1000 BCE to 1 BCE * Baudhayana (fl. c. 800 BC) – Euclidean geometry, geometric algebra * Manava (c. 750 BC–690 BC) – Euclidean geometry * Thales of Miletus (c. 624 BC – c. 546 BC) – Euclidean geometry * Pythagoras (c. 570 BC – c. 495 BC) – Euclidean geometry, Pythagorean theorem * Zeno of Elea (c. 490 BC – c. 430 BC) – Euclidean geometry * Hippocrates of Chios (born c. 470 – 410 BC) – first systematically organized '' Stoicheia – Elements'' (geometry textbook) * Mozi (c. 468 BC – c. 391 BC) * Plato (427–347 BC) * Theaetetus (c. 417 BC – 369 BC) * Autolycus of Pitane (360–c. 290 BC) – astronomy, spherical geometry * Euclid (fl. 300 BC) – '' Elements'', Euclidean geometry (sometimes called the "father of geometry") * Apollonius of Perga (c. 262 BC – c. 190 BC) – Euclidean geometry, conic ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Tatarstan
The Republic of Tatarstan (russian: Республика Татарстан, Respublika Tatarstan, p=rʲɪsˈpublʲɪkə tətɐrˈstan; tt-Cyrl, Татарстан Республикасы), or simply Tatarstan (russian: Татарстан, tt-Cyrl, Татарстан), sometimes also called Tataria (russian: Татария, tt-Cyrl, Татария), is a Republics of Russia, republic of Russia located in Eastern Europe. It is a part of the Volga Federal District; and its capital city, capital and largest city is Kazan, an important cultural centre in Russia. The republic borders Kirov Oblast, Kirov, Ulyanovsk Oblast, Ulyanovsk, Samara Oblast, Samara, and Orenburg Oblasts, the Mari El Republic, Mari El, Udmurt Republic, Udmurt, and Chuvash Republics, and the Bashkortostan, Republic of Bashkortostan. The area of the republic is . The unofficial Tatarstan motto is ''Bez Buildırabız!'' (''We can!''). As of the Russian Census (2021), 2021 Census, the population of Tatarstan was& ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
William Kingdon Clifford
William Kingdon Clifford (4 May 18453 March 1879) was an English mathematician and philosopher. Building on the work of Hermann Grassmann, he introduced what is now termed geometric algebra, a special case of the Clifford algebra named in his honour. The operations of geometric algebra have the effect of mirroring, rotating, translating, and mapping the geometric objects that are being modelled to new positions. Clifford algebras in general and geometric algebra in particular have been of ever increasing importance to mathematical physics, geometry, and computing. Clifford was the first to suggest that gravitation might be a manifestation of an underlying geometry. In his philosophical writings he coined the expression ''mind-stuff''. Biography Born at Exeter, England, Exeter, William Clifford showed great promise at school. He went on to King's College London (at age 15) and Trinity College, Cambridge, where he was elected fellow in 1868, after being second Wrangler (Universi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Nikolai Brashman
Nikolai Dmitrievich Brashman (russian: Николáй Дми́триевич Брáшман; german: Nikolaus Braschmann; June 14, 1796 – ) was a Russian mathematician of Jewish-Austrian origin. He was a student of Joseph Johann Littrow, and the advisor of Pafnuty Chebyshev and August Davidov. He was born in Neu-Raußnitz (today Rousínov in Czech Republic, then in Austrian Empire) and studied at the University of Vienna and Vienna Polytechnic Institute. In 1824 he moved to Saint Petersburg and then accepted a position at the Kazan University. In 1834 he became a professor of applied mathematics at the Moscow University. There he is best remembered as a founder of the Moscow Mathematical Society and its journal ''Matematicheskii Sbornik''.. For his mechanics textbook, in 1836 Brashman was awarded the Demidov Prize by the Russian Academy of Sciences. The academy elected him a corresponding member in 1855. He died in Moscow Moscow ( , US chiefly ; rus, links=no, М ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Russia
Russia (, , ), or the Russian Federation, is a List of transcontinental countries, transcontinental country spanning Eastern Europe and North Asia, Northern Asia. It is the List of countries and dependencies by area, largest country in the world, with its internationally recognised territory covering , and encompassing one-eighth of Earth's inhabitable landmass. Russia extends across Time in Russia, eleven time zones and shares Borders of Russia, land boundaries with fourteen countries, more than List of countries and territories by land borders, any other country but China. It is the List of countries and dependencies by population, world's ninth-most populous country and List of European countries by population, Europe's most populous country, with a population of 146 million people. The country's capital and List of cities and towns in Russia by population, largest city is Moscow, the List of European cities by population within city limits, largest city entirely within E ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
