Liberal Arts in Russia EN-rus logo
russian flagRussian
ISSN 2305-8420 (Print)
ISSN 2312-6442 (Online)
Current Issue

Applied mathematics in the world of complexity

Liberal Arts in Russia. 2016. Vol. 5. No. 1. Pp. 3-13.
Get the full text (Russian)
Kazaryan V. P.
Lomonosov Moscow State University
4 Bldg., 27 Lomonosov Ave., 119991 Moscow, Russia


In modern mathematics the value of applied research increases, for this reason, modern mathematics is initially focused on resolving the situation actually arose in this respect on a par with other disciplines. Using a new tool - computer systems, applied mathematics appealed to the new object: not to nature, not to society or the practical activity of man. In fact, the subject of modern applied mathematics is a problem situation for the actor-person, and the study is aimed at solving the material and practical problems. Developing the laws of its internal logic, mathematical science today covers various practices and makes them its own requirements, subjugating and organizing in their own way a subject of study. This math activity is influenced by such external factors as the condition of the actor-person; capacity of computers together with service professionals; characteristics of the object, and the external circumstances act as constituting the essence of the case and not as minor issues. The modern applied mathematics is becoming more and more similar to the engineering sciences, and the importance of mathematical modeling problem is rising. In the studies the author bases on the broader context of modern science, including works of philosophy and methodology, as well as mathematicians and specialists in the field of natural sciences.


  • • problem situation
  • • mathematical model
  • • actor
  • • system
  • • goal
  • • intention
  • • uncertainty
  • • complexity
  • • computer system
  • • modern applied mathematics


  1. Artsimovich L. A. Izbrannye trudy. Atomnaya fizika i fizika plazmy [Selected works. Atomic physics and plasma physics]. Moscow: Nauka, 1978.
  2. Bazhanov V. A. Epistemologiya & filosofiya nauki. 2015. T. XLII. No. 1. Pp. 245–247.
  3. Bakhvalov N. S. Osnovy vychislitel'noi matematiki [Basics of computational mathematics]. Moscow: Nauka, 1970.
  4. Chislennye metody [Numerical methods]. Moscow: Nauka, 1987.
  5. Blekhman I. I., Myshkis A. D., Panovko Ya. G. Prikladnaya matematika: Predmet, logika, osobennosti podkhodov [Applied mathematics: Subject, logic, features of the approaches]. 4 ed. Moscow: Izdatel'stvo LKI, 2007.
  6. Braun Dzh.R. Epistemologiya & filosofiya nauki. T. XIX. No. 1. Pp. 16–32.
  7. Ventsel' E. S. Issledovanie operatsii. Zadachi. Printsipy. Metodologiya [Study of operations. Tasks. Principles. Methodology]. Moscow: Nauka, 1980.
  8. Kazaryan V. P. Sovremennyi gumanitarnyi zhurnal. 2013. Vol. 2. No. 3.
  9. Kazaryan V. P. Filosofiya matematiki i tekhnicheskikh nauk. Moscow: Akademicheskii proekt, 2006
  10. Kamyu A. Buntuyushchii chelovek [The rebel]. Moscow: Politizdat, 1990.
  11. Matematizatsiya sovremennoi nauki: predposylki, problemy, perspektivy. Sbornik trudov. Ed. V. I. Kuptsov. Moscow: Tsentr. Sovet filos. (metodol.) seminarov pri Prezidiume AN SSSPp. 1986.
  12. Moiseev N. N. Matematicheskie zadachi sistemnogo analiza [Mathematical problems of system analysis]. Moscow: Nauka, 1981.
  13. Moiseev N. N. Sovremennyi ratsionalizm [Modern rationalism]. Moscow: MGVP KOKS, 1995.
  14. Nalimov V. V. Logicheskaya struktura prikladnoi matematiki [Logical structure of applied mathematics]. Moscow: Izdatel'stvo Moskovskogo universiteta, 1971.
  15. Nikiforov A. L. Filosofiya nauki: Istoriya i teoriya [Philosophy of science: History and theory]. Moscow: Ideya-Press, 2006.
  16. Poia D. Matematika i pravdopodobnye rassuzhdeniya [Mathematics and plausible reasoning]. Moscow: Nauka. 1975.
  17. Pozer Kh. Epistemologiya & filosofiya nauki. T. I. No. 1. 2004. Pp. 34–52.
  18. Samarskii A. A. Vestnik AN SSSR. 1979. No. 5.
  19. Samarskii A. A., Popov Yu. P. Raznostnye skhemy gazovoi dinamiki [Differential schemes of gas dynamics]. Moscow: Nauka, 1975.
  20. Tikhonov A. N., Samarskii A. A. Zhurnal vychislitel'noi matematiki i matematicheskoi fiziki. 1961. No. 1.
  21. Tikhonov A. N., Goncharskii A. V., Stepanov V. V., Yagola A. G. Chislennye metody resheniya nekorrektnykh zadach [Numerical methods for solving ill-posed problems]. Moscow: Nauka, 1990.
  22. Filosofiya nauki. No. 18. Filosofiya nauki v mire slozhnosti [Philosophy of science. No.18. Philosophy of science in the world of complexity]. Moscow: IF RAN, 2013.