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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Equations in Mathematical Physics: A Practical Course

Equations in Mathematical Physics: A Practical Course

Pikulin, V. P.
Iacob, A.
Pohozaev, Stanislav I.

Paperback

Physics

ISBN10: 3034895038
ISBN13: 9783034895033
Publisher: Birkhauser
Published: Aug 23 2014
Pages: 207
Weight: 0.69
Height: 0.46 Width: 6.14 Depth: 9.21
Language: English
This handbook is addressed to students of technology institutf's where a course on mathematical physics of relatively reduced volume is offered, as well as to engineers and scientists. The aim of the handbook is to treat (demonstrate) the basic methods for solving the simplest problems of classical mathematical physics. The most basic among the methods considered hrre i8 the superposition method. It allows one, based on particular linearly indepmdent HolutionH (solution atoms), to obtain the solution of a given problem. To that end the Hupply of solution atoms must be complete. This method is a development of the well-known method of particular solutions from the theory of ordinar ' differelltial equations. In contrast to the case of ordinary differential equations, where the number of linearly independent 80lutions is always finite, for a linear partial differrntial equation a complete supply of solution atoms is always infinite. This infinite set of Holutions may be discrete (for example, for regular boundary vahlP problems in a bounded domain), or form a continuum (for example, in the case of problems in the whole space). In the first case the superposition method reduces to tlH' construction of a series in the indicated solution atoms with unknown coefficipnts, while in the second case the series is replaced by an integral with respect to the corm: iponding parameters (variables). This first step leads us to the general solution of the associated hOlllogeneous equation under the assumption that the set of solution atoms i;; complete.

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