000 01755 a2200217 4500
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020 _a9781138601031
040 _cIIT Kanpur
041 _aeng
082 _a530.15
_bSe67s
100 _aSerovajsky, Simon
245 _aSequential models of mathematical physics
_cSimon Serovajsky
260 _bCRC Press
_c2019
_aBoca Raton
300 _axvii, 265p
520 _aThe equations of mathematical physics are the mathematical models of the large class of phenomenon of physics, chemistry, biology, economics, etc. In Sequential Models of Mathematical Physics, the author considers the justification of the process of constructing mathematical models. The book seeks to determine the classic, generalized and sequential solutions, the relationship between these solutions, its direct physical sense, the methods of its practical finding, and its existence. Features Describes a sequential method based on the construction of space completion, as well as its applications in number theory, the theory of distributions, the theory of extremum, and mathematical physics Presentation of the material is carried out on the simplest example of a one-dimensional stationary heat transfer process; all necessary concepts and constructions are introduced and illustrated with elementary examples, which makes the material accessible to a wide area of readers The solution of a specific mathematical problem is obtained as a result of the joint application of methods and concepts from completely different mathematical directions
650 _aMathematical models
650 _aMathematical physics
650 _aMathematics -- Methodology
942 _cBK
999 _c560979
_d560979