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Perturbation Methods, Bifurcation Theory And Computer Algebra von Dieter Armbruster (1987, Taschenbuch)

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Produktinformation

Perturbation methods have always been an important tool for treating nonlinear differential equations. Now the drudgery associated with them has been eliminated! This book offers computer algebra (MACSYMA) programs which implement the most popular perturbation methods. Not only does this avoid the errors associated with hand computation, but the increase in efficiency permits more complicated problems to be tackled. This book is useful both for the beginner learning perturbation methods for the first time, as well as for the researcher. Methods covered include: Lindstedt's method, center manifolds, normal forms, two variable expansion method (method of multiple scales), averaging, Lie transforms and Liapunov-Schmidt reduction. For each method the book includes an introduction and some example problems solved both by hand and by machine. The examples feature common bifurcations such as the pitchfork and the Hopf. The MACSYMA code for each method is given and suggested exercises are provided at the end of each Chapter. An Appendix offers a brief introduction to MACSYMA.

Produktkennzeichnungen

ISBN-100387965890

ISBN-139780387965895

eBay Product ID (ePID)68427590

Produkt Hauptmerkmale

VerlagSpringer Us, Springer New York

Erscheinungsjahr1987

Anzahl der Seiten260 Seiten

SpracheEnglisch

PublikationsnamePerturbation Methods, Bifurcation Theory And Computer Algebra

ProduktartLehrbuch

AutorDieter Armbruster

ReiheApplied Mathematical Sciences

FormatTaschenbuch

Zusätzliche Produkteigenschaften

HörbuchNo

InhaltsbeschreibungPaperback

MitautorRichard H. Rand

Nummer Innerhalb der Serie65

Item Height1cm

Item Length23cm

Item Width15cm

Item Weight400g