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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Analysis Perturbation Methods in Applied Mathematics
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Perturbation Methods in Applied Mathematics
J. Kevorkian, J.D. Cole (Broschiert, Englisch)
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Beschreibung
This book is a revised and updated version, including a substantial portion of new material, of J. D. Cole's text Perturbation Methods in Applied Mathe matics, Ginn-Blaisdell, 1968. We present the material at a level which assumes some familiarity with the basics of ordinary and partial differential equations. Some of the more advanced ideas are reviewed as needed; therefore this book can serve as… a text in either an advanced undergraduate course or a graduate level course on the subject. The applied mathematician, attempting to understand or solve a physical problem, very often uses a perturbation procedure. In doing this, he usually draws on a backlog of experience gained from the solution of similar examples rather than on some general theory of perturbations. The aim of this book is to survey these perturbation methods, especially in connection with differ ential equations, in order to illustrate certain general features common to many examples. The basic ideas, however, are also applicable to integral equations, integrodifferential equations, and even to_difference equations. In essence, a perturbation procedure consists of constructing the solution for a problem involving a small parameter B, either in the differential equation or the boundary conditions or both, when the solution for the limiting case B = 0 is known. The main mathematical tool used is asymptotic expansion with respect to a suitable asymptotic sequence of functions of B. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
01.12.2010
Sprache
Englisch
EAN
9781441928122
Herausgeber
Springer US
Serien- oder Bandtitel
Applied Mathematical Sciences
Sonderedition
Nein
Autor
J. Kevorkian, J.D. Cole
Seitenanzahl
560
Einbandart
Broschiert
Schlagwörter
Asymptotische Darstellung, Differentialgleichung, Perturbation, Störung (Math.), differential equation, ordinary differential equation, partial differential equation
Thema-Inhalt
PBK - Mathematische Analysis, allgemein
PBKS - Numerische Mathematik
Höhe
235 mm
Breite
15.5 cm
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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