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Sequential models of mathematical physics

By: Serovajsky, Simon.
Publisher: Boca Raton CRC Press 2019Description: xvii, 265p.ISBN: 9781138601031.Subject(s): Mathematical models | Mathematical physics | Mathematics -- MethodologyDDC classification: 530.15 | Se67s Summary: The 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
List(s) this item appears in: New arrival Dec. 02 to 08, 2019
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Item type Current location Collection Call number Status Date due Barcode Item holds
Books Books P K Kelkar Library, IIT Kanpur
General Stacks 530.15 Se67s (Browse shelf) Available A185008
Total holds: 0

The 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

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