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Budapest Semesters In Mathematics
The Budapest Semesters in Mathematics program is a study abroad opportunity for North American undergraduate students in Budapest, Hungary. The coursework is primarily mathematical and conducted in English by Hungarian professors whose primary positions are at Eötvös Loránd University or the Alfréd Rényi Institute of Mathematics of the Hungarian Academy of Sciences. Originally started by László Lovász, László Babai, Vera Sós, and Pál Erdős, the first semester was conducted in Spring 1985. The North- American part of the program is currently run by Tina Garrett (North American Director) out of St. Olaf College in Northfield, MN. She is supported by Kendra Killpatrick (Associate Director) and Eileen Shimota (Program Administrator). The former North American Directors were Paul D. Humke (1988–2011) and Tom Trotter. The Hungarian director is Dezső Miklós. The first Hungarian director was Gábor J. Székely (1985–1995). History of the Program Cou ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
College International Schoolbuilding, Bethlan Gabor Ter, Budapest, Hungary
A college (Latin: ''collegium'') is an educational institution or a constituent part of one. A college may be a degree-awarding tertiary educational institution, a part of a collegiate or federal university, an institution offering vocational education, or a secondary school. In most of the world, a college may be a high school or secondary school, a college of further education, a training institution that awards trade qualifications, a higher-education provider that does not have university status (often without its own degree-awarding powers), or a constituent part of a university. In the United States, a college may offer undergraduate programs – either as an independent institution or as the undergraduate program of a university – or it may be a residential college of a university or a community college, referring to (primarily public) higher education institutions that aim to provide affordable and accessible education, usually limited to two-year assoc ... [...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] |
Math In Moscow
Math in Moscow (MiM) is a one-semester study abroad program for North American and European undergraduates held at the Independent University of Moscow (IUM) in Moscow, Russia. The program consists mainly of math courses that are taught in English. The program was first offered in 2001, and since 2008 has been run jointly by the Independent University of Moscow, Moscow Center for Continuous Mathematical Education, and the Higher School of Economics (HSE). The program has hosted over 200 participants, including students from Harvard, Princeton, MIT, Harvey Mudd, Berkeley, Cornell, Yale, Wesleyan, McGill, Toronto, and Montreal. Features The MiM semester lasts fifteen weeks with fourteen weeks of teaching and one week of exams. Math courses are lectured by professors of the Independent University of Moscow and the Math Department of National Research University Higher School of Economics. The cultural elements of the program include organized trips to Saint Petersburg and to the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Dohány Street Synagogue
The Dohány Street Synagogue ( hu, Dohány utcai zsinagóga / nagy zsinagóga; he, בית הכנסת הגדול של בודפשט, ''Bet ha-Knesset ha-Gadol shel Budapesht''), also known as the ''Great Synagogue'' or ''Tabakgasse Synagogue'', is a historical building in Erzsébetváros, the 7th district of Budapest, Hungary. It is the largest synagogue in Europe, seating 3,000 people and is a centre of Neolog Judaism. The synagogue was built between 1854 and 1859 in the Moorish Revival style, with the decoration based chiefly on Islamic models from North Africa and medieval Spain (the Alhambra). The synagogue's Viennese architect, Ludwig Förster, believed that no distinctively Jewish architecture could be identified, and thus chose ''"architectural forms that have been used by oriental ethnic groups that are related to the Israelite people, and in particular the Arabs"''. The interior design is partly by Frigyes Feszl. The Dohány Street Synagogue complex consists of the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Budapest Keleti Railway Station
Budapest Keleti (Eastern) station ( hu, Keleti pályaudvar) is the main international and inter-city railway terminal in Budapest, Hungary. The station stands where Rákóczi út splits to become Kerepesi Avenue and Thököly Avenue. Keleti pályaudvar translates to ''Eastern Railway Terminus''. Its name in 1891 originates not only for its position as the easternmost of the city's rail termini, but for its original role as a terminus of the lines from eastern Hungary including Transylvania, and the Balkans. In contrast, the Nyugati (''western'') railway station used to serve lines toward Vienna and Paris. Architecture The building was designed in eclectic style by Gyula Rochlitz and János Feketeházy and constructed between 1881 and 1884. The main façade is adorned with two statues depicting James Watt and George Stephenson. Inside the station are frescos by Karoly Lotz. Train connections The following trains call at this station: I. International services: *Railjet tra ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Line 2 (Budapest Metro)
Line 2 (officially: East-West Line, Metro 2 or M2, and unofficially: Red Line) is the second line of the Budapest Metro. The line runs east from Déli pályaudvar in north-central Buda under the Danube to the city center, from where it continues east following the route of Rákóczi út to its terminus at Örs vezér tere. Prior to the 2014 opening of Line 4, it was the only line that served Buda. Daily ridership is estimated at 350,000. History The first plans for the second Budapest metro line were made in 1942, and the Council of Ministers authorised its construction in 1950.András Koós: A 2-es metróvonal infrastruktúrájának korszerűsítése ("Modernization of the Line 2"), Városi Közlekedés, Year XL, Vol. 2, pp. 85, Budapest, 2000 Line 2 was originally planned to connect two major railway stations, ''Keleti'' (Eastern) and ''Déli'' (Southern) ''pályaudvar.'' The Council of Ministers wanted to complete the first section by 1954 between Deák Ferenc tér and ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematical Logic
Mathematical logic is the study of logic, formal logic within mathematics. Major subareas include model theory, proof theory, set theory, and recursion theory. Research in mathematical logic commonly addresses the mathematical properties of formal systems of logic such as their expressive or deductive power. However, it can also include uses of logic to characterize correct mathematical reasoning or to establish foundations of mathematics. Since its inception, mathematical logic has both contributed to and been motivated by the study of foundations of mathematics. This study began in the late 19th century with the development of axiomatic frameworks for geometry, arithmetic, and Mathematical analysis, analysis. In the early 20th century it was shaped by David Hilbert's Hilbert's program, program to prove the consistency of foundational theories. Results of Kurt Gödel, Gerhard Gentzen, and others provided partial resolution to the program, and clarified the issues involved in pr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Differential Geometry
Differential geometry is a mathematical discipline that studies the geometry of smooth shapes and smooth spaces, otherwise known as smooth manifolds. It uses the techniques of differential calculus, integral calculus, linear algebra and multilinear algebra. The field has its origins in the study of spherical geometry as far back as antiquity. It also relates to astronomy, the geodesy of the Earth, and later the study of hyperbolic geometry by Lobachevsky. The simplest examples of smooth spaces are the plane and space curves and surfaces in the three-dimensional Euclidean space, and the study of these shapes formed the basis for development of modern differential geometry during the 18th and 19th centuries. Since the late 19th century, differential geometry has grown into a field concerned more generally with geometric structures on differentiable manifolds. A geometric structure is one which defines some notion of size, distance, shape, volume, or other rigidifying structu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematical Physics
Mathematical physics refers to the development of mathematics, mathematical methods for application to problems in physics. The ''Journal of Mathematical Physics'' defines the field as "the application of mathematics to problems in physics and the development of mathematical methods suitable for such applications and for the formulation of physical theories". An alternative definition would also include those mathematics that are inspired by physics (also known as physical mathematics). Scope There are several distinct branches of mathematical physics, and these roughly correspond to particular historical periods. Classical mechanics The rigorous, abstract and advanced reformulation of Newtonian mechanics adopting the Lagrangian mechanics and the Hamiltonian mechanics even in the presence of constraints. Both formulations are embodied in analytical mechanics and lead to understanding the deep interplay of the notions of symmetry (physics), symmetry and conservation law, con ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Topology
In mathematics, topology (from the Greek language, Greek words , and ) is concerned with the properties of a mathematical object, geometric object that are preserved under Continuous function, continuous Deformation theory, deformations, such as Stretch factor, stretching, Twist (mathematics), twisting, crumpling, and bending; that is, without closing holes, opening holes, tearing, gluing, or passing through itself. A topological space is a set (mathematics), set endowed with a structure, called a ''Topology (structure), topology'', which allows defining continuous deformation of subspaces, and, more generally, all kinds of continuity (mathematics), continuity. Euclidean spaces, and, more generally, metric spaces are examples of a topological space, as any distance or metric defines a topology. The deformations that are considered in topology are homeomorphisms and homotopy, homotopies. A property that is invariant under such deformations is a topological property. Basic exampl ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Set Theory
Set theory is the branch of mathematical logic that studies sets, which can be informally described as collections of objects. Although objects of any kind can be collected into a set, set theory, as a branch of mathematics, is mostly concerned with those that are relevant to mathematics as a whole. The modern study of set theory was initiated by the German mathematicians Richard Dedekind and Georg Cantor in the 1870s. In particular, Georg Cantor is commonly considered the founder of set theory. The non-formalized systems investigated during this early stage go under the name of '' naive set theory''. After the discovery of paradoxes within naive set theory (such as Russell's paradox, Cantor's paradox and the Burali-Forti paradox) various axiomatic systems were proposed in the early twentieth century, of which Zermelo–Fraenkel set theory (with or without the axiom of choice) is still the best-known and most studied. Set theory is commonly employed as a foundational ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
