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David Emmanuel (mathematician)
David Emmanuel (31 January 1854 – 4 February 1941) was a Romanian Jewish mathematician and member of the Romanian Academy, considered to be the founder of the modern mathematics school in Romania. Born in Bucharest, Emmanuel studied at Gheorghe Lazăr and Gheorghe Șincai high schools. In 1873 he went to Paris, where he received his Ph.D. in mathematics from the University of Paris (Sorbonne) in 1879 with a thesis on ''Study of abelian integrals of the third species'', becoming the second Romanian to have a Ph.D. in mathematics from the Sorbonne (the first one was Spiru Haret). The thesis defense committee consisted of Victor Puiseux (advisor), Charles Briot, and Jean-Claude Bouquet. In 1882, Emmanuel became a professor of superior algebra and function theory at the Faculty of Sciences of the University of Bucharest. Here, in 1888, he held the first courses on group theory and on Galois theory, and introduced set theory in Romanian education. Among his students were Anton D ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bucharest
Bucharest ( , ; ro, București ) is the capital and largest city of Romania, as well as its cultural, industrial, and financial centre. It is located in the southeast of the country, on the banks of the Dâmbovița River, less than north of the Danube River and the Bulgarian border. Bucharest was first mentioned in documents in 1459. The city became the capital of Romania in 1862 and is the centre of Romanian media, culture, and art. Its architecture is a mix of historical (mostly Eclectic, but also Neoclassical and Art Nouveau), interbellum ( Bauhaus, Art Deco and Romanian Revival architecture), socialist era, and modern. In the period between the two World Wars, the city's elegant architecture and the sophistication of its elite earned Bucharest the nickname of 'Paris of the East' ( ro, Parisul Estului) or 'Little Paris' ( ro, Micul Paris). Although buildings and districts in the historic city centre were heavily damaged or destroyed by war, earthquakes, and even Nic ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Abelian Integral
In mathematics, an abelian integral, named after the Norwegian mathematician Niels Henrik Abel, is an integral in the complex plane of the form :\int_^z R(x,w) \, dx, where R(x,w) is an arbitrary rational function of the two variables x and w, which are related by the equation :F(x,w)=0, where F(x,w) is an irreducible polynomial in w, :F(x,w)\equiv\varphi_n(x)w^n+\cdots+\varphi_1(x)w +\varphi_0\left(x\right), whose coefficients \varphi_j(x), j=0,1,\ldots,n are rational functions of x. The value of an abelian integral depends not only on the integration limits, but also on the path along which the integral is taken; it is thus a multivalued function of z. Abelian integrals are natural generalizations of elliptic integrals, which arise when :F(x,w)=w^2-P(x), \, where P\left(x\right) is a polynomial of degree 3 or 4. Another special case of an abelian integral is a hyperelliptic integral, where P(x), in the formula above, is a polynomial of degree greater than 4. Histor ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Miron Nicolescu
Miron Nicolescu (; August 27, 1903 – June 30, 1975) was a Romanian mathematician, best known for his work in real analysis and differential equations. He was President of the Romanian Academy and Vice-President of the International Mathematical Union. Born in Giurgiu, the son of a teacher, he attended the Matei Basarab High School in Bucharest. After completing his undergraduate studies at the Faculty of Mathematics of the University of Bucharest in 1924, he went to Paris, where he enrolled at the École Normale Supérieure and the Sorbonne. In 1928, he completed his doctoral dissertation, ''Fonctions complexes dans le plan et dans l'espace'', under the direction of Paul Montel. Upon returning to Romania, he taught at the University of Cernăuți until 1940, when he was named professor at the University of Bucharest. In 1936, he was elected an associate member of the Romanian Academy, and, in 1953, full member. After King Michael's Coup of August 23, 1944, Nicolescu joined ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Grigore Moisil
Grigore Constantin Moisil (; 10 January 1906 – 21 May 1973) was a Romanian mathematician, computer pioneer, and list of members of the Romanian Academy, titular member of the Romanian Academy. His research was mainly in the fields of mathematical logic (Łukasiewicz–Moisil algebra), algebraic logic, MV-algebra, and differential equations. He is viewed as the father of computer science in Romania. Moisil was also a member of the Academy of Sciences of Bologna and of the International Institute of Philosophy. In 1996, the IEEE Computer Society awarded him posthumously the ''Computer Pioneer'' Award. Biography Grigore Moisil was born in 1906 in Tulcea into an intellectual family. His great-grandfather, Grigore Moisil (1814–1891), a clergyman, was one of the founders of the George Coșbuc National College (Năsăud), first Romanian high school in Năsăud. His father, Constantin Moisil (1876–1958), was a history professor, archaeology, archaeologist and numismatics, numismat ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Alexandru Froda
Alexandru Froda (July 16, 1894 – October 7, 1973) was a Romanian mathematician with contributions in the field of mathematical analysis, algebra, number theory and rational mechanics. In his 1929 thesis he proved what is now known as Froda's theorem. Life Alexandru Froda was born in Bucharest in 1894. In 1927 he graduated from the University of Sciences (now the Faculty of Mathematics of the University of Bucharest). He received his Ph.D. from the University of Paris in 1929 under the direction of Émile Borel. Froda was elected president of the Romanian Mathematical Society in 1946. In 1948 he became professor in the Faculty of Mathematics and Physics of the University of Bucharest. Work Froda's major contribution was in the field of mathematical analysis. His first important result was concerned with the set of discontinuities of a real-valued function of a real variable. In this theorem Froda proves that the set of simple discontinuities of a real-valued function of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Anton Davidoglu
Anton Davidoglu (June 30, 1876–May 27, 1958) was a Romanian mathematician who specialized in differential equations. He was born in 1876 in Bârlad, Vaslui County, the son of Profira Moțoc and Doctor Cleante Davidoglu. His older brother was General Cleante Davidoglu. He studied under Jacques Hadamard at the École Normale Supérieure in Paris, defending his Ph.D. dissertation in 1900. His thesis — the first mathematical investigation of deformable solids — applied Émile Picard's method of successive approximations to the study of fourth order differential equations that model traverse vibrations of non-homogeneous elastic bars. After returning to Romania, Davidoglu became a professor at the University of Bucharest. In 1913, he was founding rector of the Academy of High Commercial and Industrial Studies in Bucharest. He also continued to teach at the University of Bucharest, until his retirement in 1941. Davidoglu was a founding member of the Romanian Academy of Scie ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
AIP Conference Proceedings
''AIP Conference Proceedings'' is a serial published by the American Institute of Physics since 1970. It publishes the proceedings from various conferences of physics societies. Alison Waldron is the current Acquisitions Editor for ''AIP Conference Proceedings''. In addition to the series' own ISSN, each volumes receives its own ISBN. ''AIP Conference Proceedings'' publishes more than 100 volumes per year, with back-file coverage to 1970 which encompasses 1,330 proceedings volumes and 100,000 published papers. Scope In 2010 broad subject coverage included accelerators, biophysics, plasma physics, geophysics, polymer science, optics, lasers, nanotechnology, materials science, astronomy, astrophysics, mathematical physics, nuclear and particle physics, statistical physics, atomic and molecular physics. Abstracting and indexing This series is indexed in the following databases, amongst others *Academic Search Premier *Scitation *Scopus Scopus is Elsevier's abstract and c ... [...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] |
Galois Theory
In mathematics, Galois theory, originally introduced by Évariste Galois, provides a connection between field theory and group theory. This connection, the fundamental theorem of Galois theory, allows reducing certain problems in field theory to group theory, which makes them simpler and easier to understand. Galois introduced the subject for studying roots of polynomials. This allowed him to characterize the polynomial equations that are solvable by radicals in terms of properties of the permutation group of their roots—an equation is ''solvable by radicals'' if its roots may be expressed by a formula involving only integers, th roots, and the four basic arithmetic operations. This widely generalizes the Abel–Ruffini theorem, which asserts that a general polynomial of degree at least five cannot be solved by radicals. Galois theory has been used to solve classic problems including showing that two problems of antiquity cannot be solved as they were stated (doubling the cub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Group Theory
In abstract algebra, group theory studies the algebraic structures known as group (mathematics), groups. The concept of a group is central to abstract algebra: other well-known algebraic structures, such as ring (mathematics), rings, field (mathematics), fields, and vector spaces, can all be seen as groups endowed with additional operation (mathematics), operations and axioms. Groups recur throughout mathematics, and the methods of group theory have influenced many parts of algebra. Linear algebraic groups and Lie groups are two branches of group theory that have experienced advances and have become subject areas in their own right. Various physical systems, such as crystals and the hydrogen atom, and Standard Model, three of the four known fundamental forces in the universe, may be modelled by symmetry groups. Thus group theory and the closely related representation theory have many important applications in physics, chemistry, and materials science. Group theory is also ce ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Real Analysis
In mathematics, the branch of real analysis studies the behavior of real numbers, sequences and series of real numbers, and real functions. Some particular properties of real-valued sequences and functions that real analysis studies include convergence, limits, continuity, smoothness, differentiability and integrability. Real analysis is distinguished from complex analysis, which deals with the study of complex numbers and their functions. Scope Construction of the real numbers The theorems of real analysis rely on the properties of the real number system, which must be established. The real number system consists of an uncountable set (\mathbb), together with two binary operations denoted and , and an order denoted . The operations make the real numbers a field, and, along with the order, an ordered field. The real number system is the unique ''complete ordered field'', in the sense that any other complete ordered field is isomorphic to it. Intuitively, completeness means ... [...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] |
