THE PROBLEM OF MATHEMATICS MASTERS’ TRAINING FOR THE SCIENTIFIC RESEARCH WORK
https://doi.org/10.31161/1995-0659-2018-12-2-51-55
Abstract
The aim of the article is to consider the opportunity of generalization of the knowns for the singular integrals with Abel, Cauchy, Tricomi kernels, logarithmic peculiarities of the results on the integrals with more general kernels, from the point of view of mathematics masters’ involvement into the creative, research work. The method of research of the problems by the way of reducing them to the known, simple cases is realized.
Result. The formulas of transformation the integrals equations with generalized Abel, Cauchy, Tricomi kernels, logarithmic peculiarity by the way of reducing them to the integrals equations are available from the research, the solution of it is known.
Conclusion. It is possible to teach the masters of Mathematics to search the scientific problems self consistently and to solve them by the method of generalization using the case studies.
About the Authors
M. M. ZaynulabidovRussian Federation
Mansur M. Zaynulabidov, Ph. D. (Physics and Mathematics), professor, the chair of Advanced Mathematics, the faculty of Mathematics, Physics and Computer Science (FMPCS).
Makhachkala.
G. M. Zaynulabidov
Russian Federation
Gazimagomed M. Zaynulabidov, Ph. D. (Physics and Mathematics), assistant professor, the chair of Technology and Its Teaching Methods (TTM), the faculty of Technology and Professional Pedagogical Education (FTPPE).
Makhachkala.
Z. M. Zaynulabidova
Russian Federation
Zaira M. Zaynulabidova, Ph. D. (Physics and Mathematics), assistant professor, the chair of TTM, FTPPE, DSPU; deputy director for Science and Methods.
Makhachkala.
References
1. Bitsadze A. V. Uravneniya matematicheskoy fiziki [Equations of mathematical physics]. Moscow, Nauka Publ., 1976. 295 p. (In Russian)
2. Bitsadze A. V. Nekotoryye klassy uravneniy v chastnykh proizvodnykh [Some classes of partial differential equations]. Moscow, Nauka Publ., 1981. 448 p. (In Russian)
3. Gakhov F. D. Krayevyye zadachi [Boundary value problem]. Moscow, Nauka Publ., 1977. 640 p. (In Russian)
4. Zaynulabidov M. M., Zaynulabidov G. M., Zaynulabidova Z. Z. Preparation of masters to search and solve scientific problems of mathematics. Izvestiya Dagestanskogo gosudarstvennogo pedagogicheskogo universiteta. Psikhologo-pedagogicheskiye nauki [Dagestan State Pedagogical University. Journal. Psychological and Pedagogical Sciences]. 2018. Vol. 11. No. 3. Pp. 105-109. (In Russian)
5. Muskhelishvilly M. I. Singulyarnyye integral’nyye uravneniya [Singular integral equation]. Moscow, Nauka Publ., 1968. 514 p. (In Russian)
6. Smirnov M. I. Uravneniya smeshannogo tipa [Equations of mixed type]. Moscow, Nauka Publ., 1985. 304 p. (In Russian)
7. Sabitov K. B. Funktsional'nye, differentsial'nye i integral'nye uravneniya [Functional, differential and integral equations]. Moscow, Vysshaya shkola Publ., 2005. 671 p. (In Russian)
8. Trikomi F. O. Linejnye uravneniya smeshannogo tipa [Simple equations of mixed type]. Moscow-Leningrad, 1947. 192 p. (In Russian)
Review
For citations:
Zaynulabidov M.M., Zaynulabidov G.M., Zaynulabidova Z.M. THE PROBLEM OF MATHEMATICS MASTERS’ TRAINING FOR THE SCIENTIFIC RESEARCH WORK. Dagestan State Pedagogical University. Journal. Psychological and Pedagogical Sciences. 2018;12(2):51-55. (In Russ.) https://doi.org/10.31161/1995-0659-2018-12-2-51-55