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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] |
Independent University Of Moscow
The Independent University of Moscow (IUM) (russian: Независимый Московский Университет (НМУ)) is an educational organisation with rather informal status located in Moscow, Russia. It was founded in 1991 by a group of prominent Russian mathematicians that included Vladimir Arnold (chairman) and Sergei Novikov. The IUM consists of the departments of mathematics and theoretical physics and the post-graduate school. Anyone can attend lectures and seminars and become a student after passing three exams. The IUM is the only non-state college for the preparation of professional mathematicians in Russia . It is a non-governmental educational institution for the training of professional mathematicians, acting by a higher education institution type. Location The IUM is located in a building in central Moscow. The address is 11 Bol. Vlasievskii per., a small street near the historic Arbat and within walking distance of the Kremlin, the Bolshoi Theate ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Golden Ring (Russia)
The Golden Ring of Russia (russian: Золото́е кольцо́ Росси́и ) unites old Russian cities of five Oblasts – usually excluding Moscow – as a well-known theme-route. The grouping is centred northeast of the capital in what was the north-eastern part of ancient Rus'. The ring formerly comprised the region known as Zalesye. The idea of the route and the term was created in 1967 by Soviet historian and essayist Yuri Bychkov, who published in ''Sovetskaya Kultura'' in November–December 1967 a series of essays on the cities under the heading: "Golden Ring". Bychkov was one of the founders of ''ВООПИК'': the All-Russian Society for the Protection of Monuments of History and Culture (these letters in Romanized form are VOOPIK). These ancient towns were heavily formative to the centrality of the Russian Orthodox Church in society. They preserve the memory of key events in medieval and Imperial Russian history. The towns have been call ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Non-Euclidean Geometry
In mathematics, non-Euclidean geometry consists of two geometries based on axioms closely related to those that specify Euclidean geometry. As Euclidean geometry lies at the intersection of metric geometry and affine geometry, non-Euclidean geometry arises by either replacing the parallel postulate with an alternative, or relaxing the metric requirement. In the former case, one obtains hyperbolic geometry and elliptic geometry, the traditional non-Euclidean geometries. When the metric requirement is relaxed, then there are affine planes associated with the planar algebras, which give rise to kinematic geometries that have also been called non-Euclidean geometry. The essential difference between the metric geometries is the nature of parallel lines. Euclid's fifth postulate, the parallel postulate, is equivalent to Playfair's postulate, which states that, within a two-dimensional plane, for any given line and a point ''A'', which is not on , there is exactly one line through ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Abstract Algebra
In mathematics, more specifically algebra, abstract algebra or modern algebra is the study of algebraic structures. Algebraic structures include groups, rings, fields, modules, vector spaces, lattices, and algebras over a field. The term ''abstract algebra'' was coined in the early 20th century to distinguish this area of study from older parts of algebra, and more specifically from elementary algebra, the use of variables to represent numbers in computation and reasoning. Algebraic structures, with their associated homomorphisms, form mathematical categories. Category theory is a formalism that allows a unified way for expressing properties and constructions that are similar for various structures. Universal algebra is a related subject that studies types of algebraic structures as single objects. For example, the structure of groups is a single object in universal algebra, which is called the ''variety of groups''. History Before the nineteenth century, algebra meant ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Linear Algebra
Linear algebra is the branch of mathematics concerning linear equations such as: :a_1x_1+\cdots +a_nx_n=b, linear maps such as: :(x_1, \ldots, x_n) \mapsto a_1x_1+\cdots +a_nx_n, and their representations in vector spaces and through matrices. Linear algebra is central to almost all areas of mathematics. For instance, linear algebra is fundamental in modern presentations of geometry, including for defining basic objects such as lines, planes and rotations. Also, functional analysis, a branch of mathematical analysis, may be viewed as the application of linear algebra to spaces of functions. Linear algebra is also used in most sciences and fields of engineering, because it allows modeling many natural phenomena, and computing efficiently with such models. For nonlinear systems, which cannot be modeled with linear algebra, it is often used for dealing with first-order approximations, using the fact that the differential of a multivariate function at a point is the linear ma ... [...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] |
Theoretical Computer Science
Theoretical computer science (TCS) is a subset of general computer science and mathematics that focuses on mathematical aspects of computer science such as the theory of computation, lambda calculus, and type theory. It is difficult to circumscribe the theoretical areas precisely. The Association for Computing Machinery, ACM's ACM SIGACT, Special Interest Group on Algorithms and Computation Theory (SIGACT) provides the following description: History While logical inference and mathematical proof had existed previously, in 1931 Kurt Gödel proved with his incompleteness theorem that there are fundamental limitations on what statements could be proved or disproved. Information theory was added to the field with a 1948 mathematical theory of communication by Claude Shannon. In the same decade, Donald Hebb introduced a mathematical model of Hebbian learning, learning in the brain. With mounting biological data supporting this hypothesis with some modification, the fields of n ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Combinatorics
Combinatorics is an area of mathematics primarily concerned with counting, both as a means and an end in obtaining results, and certain properties of finite structures. It is closely related to many other areas of mathematics and has many applications ranging from logic to statistical physics and from evolutionary biology to computer science. Combinatorics is well known for the breadth of the problems it tackles. Combinatorial problems arise in many areas of pure mathematics, notably in algebra, probability theory, topology, and geometry, as well as in its many application areas. Many combinatorial questions have historically been considered in isolation, giving an ''ad hoc'' solution to a problem arising in some mathematical context. In the later twentieth century, however, powerful and general theoretical methods were developed, making combinatorics into an independent branch of mathematics in its own right. One of the oldest and most accessible parts of combinatorics is gra ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Serge Tabachnikov
Sergei Tabachnikov, also spelled Serge, (in Russian: Сергей Львович Табачников; born in 1956) is a Russian mathematician who works in geometry and dynamical systems. He is currently a Professor of Mathematics at Pennsylvania State University. Biography He earned his Ph.D. from Moscow State University in 1987 under the supervision of Dmitry Fuchs and Anatoly Fomenko. From 2013 to 2015 Tabachnikov served as Deputy Director of the Institute for Computational and Experimental Research in Mathematics (ICERM) in Providence, Rhode Island. He is now Emeritus Deputy Director of ICERM. He is a fellow of the American Mathematical Society. He currently serves as Editor in Chief of the journal Experimental Mathematics. A paper on the variability hypothesis by Theodore Hill and Tabachnikov was accepted and retracted by ''The Mathematical Intelligencer'' and later ''The New York Journal of Mathematics The ''New York Journal of Mathematics'' is a peer-reviewed journ ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Natural Sciences And Engineering Research Council Of Canada
The Natural Sciences and Engineering Research Council of Canada (NSERC; french: Conseil de recherches en sciences naturelles et en génie du Canada, CRSNG) is the major federal agency responsible for funding natural sciences and engineering research in Canada. NSERC directly funds university professors and students as well as Canadian companies to perform research and training. With funding from the Government of Canada, NSERC supports the research of over 41,000 students, trainees and professors at universities and colleges in Canada with an annual budget of CA$1.1 billion in 2015. Its current director is Alejandro Adem. NSERC, combined with the Social Sciences and Humanities Research Council (SSHRC) and the Canadian Institutes of Health Research (CIHR), forms the major source of federal government funding to post-secondary research. These bodies are sometimes collectively referred to as the "Tri-Council" or "Tri-Agency". History NSERC came into existence on 1 May 1978 under th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Canadian Mathematical Society
The Canadian Mathematical Society (CMS) (french: Société mathématique du Canada) is an association of professional mathematicians dedicated to the interests of mathematical research, outreach, scholarship and education in Canada. It serves the national community through the publication of academic journals, community bulletins, and the administration of mathematical competitions. It was originally conceived in June 1945 as the Canadian Mathematical Congress. A name change was debated for many years; ultimately, a new name was adopted in 1979, upon its incorporation as a non-profit charitable organization. The society is also affiliated with various national and international mathematical societies, including the Canadian Applied and Industrial Mathematics Society and the Society for Industrial and Applied Mathematics. The society is also a member of the International Mathematical Union and the International Council for Industrial and Applied Mathematics. History The Canadian ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
National Science Foundation
The National Science Foundation (NSF) is an independent agency of the United States government that supports fundamental research and education in all the non-medical fields of science and engineering. Its medical counterpart is the National Institutes of Health. With an annual budget of about $8.3 billion (fiscal year 2020), the NSF funds approximately 25% of all federally supported basic research conducted by the United States' colleges and universities. In some fields, such as mathematics, computer science, economics, and the social sciences, the NSF is the major source of federal backing. The NSF's director and deputy director are appointed by the President of the United States and confirmed by the United States Senate, whereas the 24 president-appointed members of the National Science Board (NSB) do not require Senate confirmation. The director and deputy director are responsible for administration, planning, budgeting and day-to-day operations of the foundation, while t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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