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Michio Kuga
was a mathematician who received his Ph.D. from University of Tokyo in 1960. His work helped lead to a proof of the Ramanujan conjecture which partly follows from the proof of the Weil conjectures by . In 1963–1964, he introduced Kuga fiber varieties in a book published by the University of Chicago Press. In the summer of 1965 he gave a talk on Kuga fiber varieties at the American Mathematical Society's Symposium in Pure Mathematics held at the University of Colorado Boulder. In 2019 Beijing's Higher Education Press published a reprint of Kuga's 1964 book. One of his books, ''Galois' Dream: Group Theory and Differential Equations'', is a series of lectures on group theory and differential equations for undergraduate students, considering such topics as covering spaces and Fuchsian differential equations from the point of view of Galois theory In mathematics, Galois theory, originally introduced by Évariste Galois, provides a connection between field (mathematics), fiel ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematics
Mathematics is a field of study that discovers and organizes methods, Mathematical theory, theories and theorems that are developed and Mathematical proof, proved for the needs of empirical sciences and mathematics itself. There are many areas of mathematics, which include number theory (the study of numbers), algebra (the study of formulas and related structures), geometry (the study of shapes and spaces that contain them), Mathematical analysis, analysis (the study of continuous changes), and set theory (presently used as a foundation for all mathematics). Mathematics involves the description and manipulation of mathematical object, abstract objects that consist of either abstraction (mathematics), abstractions from nature orin modern mathematicspurely abstract entities that are stipulated to have certain properties, called axioms. Mathematics uses pure reason to proof (mathematics), prove properties of objects, a ''proof'' consisting of a succession of applications of in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Colorado Boulder
The University of Colorado Boulder (CU Boulder, CU, or Colorado) is a public research university in Boulder, Colorado, United States. Founded in 1876, five months before Colorado became a state, it is the flagship university of the University of Colorado system. CU Boulder is a member of the Association of American Universities, considered a Public Ivy and is classified among R1: Doctoral Universities – Very high research activity. The university consists of nine colleges and schools and offers over 150 academic programs, enrolling more than 35,000 students as of January 2022. In 2021, the university attracted the support of over $634 million for research and spent $536 million on research and development according to the National Science Foundation, ranking it 50th in the nation. It receives the most NASA astrophysics technology grants of all academic institutions and is the only university in the world that has sent instruments to all planets in the Solar System. The Col ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Stony Brook University Faculty
Stony may refer to: Places * Stony Brook (other) * Stony Creek (other) * Stony Lake (other) * Stony River (other) * Stony Island (other) * Stony Point (other) * Stony Mountain (Missouri) * Stony Down, a hill and an area of forested countryside in the county of Dorset, England * Stony Pass, a mountain pass in the San Juan Mountains of southwest Colorado Other uses * Stony (rapper) (born 1995), Icelandic actor and rapper * Stony Awards, also known as "the Stonys", recognizing the "highest and stoniest" movies and TV shows of the year * Stony Stratford Stony Stratford is a market town in Buckinghamshire and a constituent town of Milton Keynes, England. It is located on Watling Street, historically the Roman road from London to Chester. It is also a civil parish with a town council in the Cit ..., or "Stony", part of Milton Keynes See also * Stoney (other) * Stonys, a Lithuanian family name {{d ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Tokyo Alumni
A university () is an educational institution, institution of tertiary education and research which awards academic degrees in several Discipline (academia), academic disciplines. ''University'' is derived from the Latin phrase , which roughly means "community of teachers and scholars". Universities typically offer both undergraduate education, undergraduate and postgraduate education, postgraduate programs. The first universities in Europe were established by Catholic Church, Catholic monks. The University of Bologna (), Italy, which was founded in 1088, is the first university in the sense of: *being a high degree-awarding institute. *using the word (which was coined at its foundation). *having independence from the ecclesiastic schools and issuing secular as well as non-secular degrees (with teaching conducted by both clergy and non-clergy): grammar, rhetoric, logic, theology, canon law and notarial law.Hunt Janin: "The university in medieval life, 1179–1499", McFarland, 2 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Publications Mathématiques De L'IHÉS
''Publications Mathématiques de l'IHÉS'' is a peer-reviewed mathematical journal. It is published by Springer Science+Business Media on behalf of the Institut des Hautes Études Scientifiques, with the help of the Centre National de la Recherche Scientifique. The journal was established in 1959 and was published at irregular intervals, from one to five volumes a year. It is now biannual. The editor-in-chief is Sébastien Boucksom (CNRS, Institut de Mathématique de Jussieu). See also *''Annals of Mathematics The ''Annals of Mathematics'' is a mathematical journal published every two months by Princeton University and the Institute for Advanced Study. History The journal was established as ''The Analyst'' in 1874 and with Joel E. Hendricks as t ...'' *'' Journal of the American Mathematical Society'' *'' Inventiones Mathematicae'' External links * Back issues from 1959 to 2010 Mathematics journals Academic journals established in 1959 Springer Science+Business Me ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Galois Theory
In mathematics, Galois theory, originally introduced by Évariste Galois, provides a connection between field (mathematics), 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 root of a function, 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 by definition ''solvable by radicals'' if its roots may be expressed by a formula involving only integers, nth root, 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 a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Fuchsian Differential Equation
Lazarus Immanuel Fuchs (5 May 1833 – 26 April 1902) was a Jewish-German mathematician who contributed important research in the field of linear differential equations. He was born in Moschin in the Grand Duchy of Posen (modern-day Mosina, Poland) and died in Berlin, Germany. He was buried in Schöneberg in the St. Matthew's Cemetery. His grave in section H is preserved and listed as a grave of honour of the State of Berlin. Contribution He is the eponym of Fuchsian groups and functions, and the Picard–Fuchs equation. A singular point ''a'' of a linear differential equation :y''+p(x)y'+q(x)y=0 is called Fuchsian if ''p'' and ''q'' are meromorphic around the point ''a'', and have poles of orders at most 1 and 2, respectively. According to a theorem of Fuchs, this condition is necessary and sufficient for the regularity of the singular point, that is, to ensure the existence of two linearly independent solutions of the form : y_j=\sum_^\infty a_(x-x_0)^,\quad a_0\ne0\,\ ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Covering Space
In topology, a covering or covering projection is a continuous function, map between topological spaces that, intuitively, Local property, locally acts like a Projection (mathematics), projection of multiple copies of a space onto itself. In particular, coverings are special types of local homeomorphisms. If p : \tilde X \to X is a covering, (\tilde X, p) is said to be a covering space or cover of X, and X is said to be the base of the covering, or simply the base. By abuse of terminology, \tilde X and p may sometimes be called covering spaces as well. Since coverings are local homeomorphisms, a covering space is a special kind of étalé space. Covering spaces first arose in the context of complex analysis (specifically, the technique of analytic continuation), where they were introduced by Bernhard Riemann, Riemann as domains on which naturally multivalued function, multivalued complex functions become single-valued. These spaces are now called Riemann surfaces. Covering spa ... [...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 cen ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Higher Education Press
Higher Education Press (HEP) is a publisher in China of university and college-level textbooks, owned by Ministry of Education of the People's Republic of China. The company's headquarters is in Beijing. HEP was among the world Top 50 publishers. HEP partnered with ScienceOpen in April 2016, indexing one of its flagship Open Access journals Frontiers of Agricultural Science and Engineering (FASE). Journals * ''Engineering'' *''Frontiers of Architectural Research'' *''Frontiers in Biology ''Frontiers in Biology'' was a bimonthly peer-reviewed scientific journal covering the field of biology. It was established in 2006 and was published by Higher Education Press and Springer Science+Business Media, supervised by the Ministry of Edu ...'' *'' Frontiers of Computer Science'' *'' Frontiers in Energy'' *'' Frontiers of Law in China'' *'' Frontiers of Medicine'' *'' Frontiers of Physics'' *'' Protein & Cell'' See also * People's Education Press * Ministry of Education of the People ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
