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Mathematical physics refers to the development of 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, known as physical mathematics.
Lists of mathematics topics cover a variety of topics related to mathematics. Some of these lists link to hundreds of articles; some link only to a few. The template to the right includes links to alphabetical lists of all mathematical articles. This article brings together the same content organized in a manner better suited for browsing. Lists cover aspects of basic and advanced mathematics, methodology, mathematical statements, integrals, general concepts, mathematical objects, and reference tables. They also cover equations named after people, societies, mathematicians, journals, and meta-lists.
George Whitelaw Mackey was an American mathematician known for his contributions to quantum logic, representation theory, and noncommutative geometry.
Yakov Grigorevich Sinai is a Russian–American mathematician known for his work on dynamical systems. He contributed to the modern metric theory of dynamical systems and connected the world of deterministic (dynamical) systems with the world of probabilistic (stochastic) systems. He has also worked on mathematical physics and probability theory. His efforts have provided the groundwork for advances in the physical sciences.
The International School for Advanced Studies is an international, state-supported, post-graduate-education and research institute in Trieste, Italy.
Narasimhaiengar Mukunda is an Indian theoretical physicist.
Gennadi Sardanashvily was a theoretical physicist, a principal research scientist of Moscow State University.
The International Journal of Geometric Methods in Modern Physics(IJGMMP) is a peer-reviewed journal, published by World Scientific, covering mathematical physics. It was originally published bimonthly beginning in January 2004; as of 2006 it appears 8 times a year, and as of 2024 it appears 14 times a year. Editorial policy for the journal specifies that "The journal publishes short communications, research and review articles devoted to the application of geometric methods (including differential geometry, algebraic geometry, global analysis and topology) to quantum field theory, non-perturbative quantum gravity, string and brane theory, quantum mechanics, semi-classical approximations in quantum theory, quantum thermodynamics and statistical physics, quantum computation and control theory."
Applied mathematics is the application of mathematical methods by different fields such as physics, engineering, medicine, biology, finance, business, computer science, and industry. Thus, applied mathematics is a combination of mathematical science and specialized knowledge. The term "applied mathematics" also describes the professional specialty in which mathematicians work on practical problems by formulating and studying mathematical models.
Sergio Albeverio is a Swiss mathematician and mathematical physicist working in numerous fields of mathematics and its applications. In particular he is known for his work in probability theory, analysis, mathematical physics, and in the areas algebra, geometry, number theory, as well as in applications, from natural to social-economic sciences.
Mauro Francaviglia was an Italian mathematician.
The Journal of Geometry and Physics is a scientific journal in mathematical physics. Its scope is to stimulate the interaction between geometry and physics by publishing primary research and review articles which are of common interest to practitioners in both fields. The journal is published by Elsevier since 1984.
The B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine is a research institute that conducts basic research in experimental and theoretical physics, mathematics, as well as in the field of applied physics. It was founded in 1960 by Borys Verkin, Oleksandr Galkin, Borys. Eselson and Ihor Dmytrenko. The first director was Borys Verkin.
Janusz Roman Grabowski is a Polish mathematician working in differential geometry and mathematical methods in classical and quantum physics.
The Mathematical Division of B. Verkin Institute for Low Temperature Physics and Engineering — is a part of Mathematical Division of NASU , one of the leading Ukrainian mathematical centers, where fundamental research in mathematics is conducted.
Igor Dmitrievich Chueshov was a Ukrainian mathematician. He was both a correspondent member of the Mathematics section of the National Academy of Sciences of Ukraine and a professor in the Department of Mathematical Physics and Computational Mathematics at the National University of Kharkiv.
Valentin Nikolayevich Klimov was a Russian theoretical physicist and mathematician. He was a co-developer of the RDS-37 and worked on statistical mechanics, plasmas and nuclear reactors.
References
- ↑ "Probability and Mathematical Physics". www.msp.org. Retrieved 2024-10-31.
- ↑ "Teoreticheskaya i Matematicheskaya Fizika". www.mathnet.ru. Retrieved 2022-06-27.