Equations in Mathematical Physics : A practical course

Language: English

Published by Birkhäuser Basel, 2014

3034895038 / 9783034895033

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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Druck auf Anfrage Neuware - Printed after ordering - 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.

Seller Inventory # 9783034895033

Title
Equations in Mathematical Physics : A practical course
Author
V. P. Pikulin
Publisher
Birkhäuser Basel
Publication year
2014
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3034895038
ISBN 13
9783034895033
Item weight
341 grams
Dimensions
235x155x13 mm

AHA-BUCH GmbH

Einbeck, Germany

5-star seller

AbeBooks seller since August 14, 2006

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