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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.
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Contenuti
1 Lindstedt’s Method.- 2 Center Manifolds.- 3 Normal Forms.- 4 Two Variable Expansion Method.- 5 Averaging.- 6 Lie Transforms.- 7 Liapunov-Schmidt Reduction.- Appendix Introduction to MACSYMA.- References.
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Book by Rand Richard H Armbruster Dieter
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Perturbation Methods, Bifurcation Theory and Computer Algebra Applied Mathematical Sciences, 65
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Broschiert. Condizione: Gut. 243 Seiten Das hier angebotene Buch stammt aus einer teilaufgelösten Bibliothek und kann die entsprechenden Kennzeichnungen aufweisen (Rückenschild, Instituts-Stempel.); der Buchzustand ist ansonsten ordentlich und dem Alter entsprechend gut. In ENGLISCHER Sprache. Sprache: Englisch Gewicht in Gramm: 385. Codice articolo 2202337
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Perturbation Methods, Bifurcation Theory and Computer Algebra
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Perturbation Methods, Bifurcation Theory and Computer Algebra
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Perturbation Methods, Bifurcation Theory and Computer Algebra - An Intermediate Language for Ada
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Perturbation Methods, Bifurcation Theory and Computer Algebra - An Intermediate Language for Ada
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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 perturbat. Codice articolo 5912774
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Perturbation Methods, Bifurcation Theory and Computer Algebra
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Springer New York, Springer US Okt 1987, 1987
ISBN 10: 0387965890
ISBN 13: 9780387965895
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Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 260 pp. Englisch. Codice articolo 9780387965895
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Perturbation Methods, Bifurcation Theory and Computer Algebra (Applied Mathematical Sciences, 65)
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Perturbation Methods, Bifurcation Theory and Computer Algebra
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Springer New York, Springer US, 1987
ISBN 10: 0387965890
ISBN 13: 9780387965895
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Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Codice articolo 9780387965895
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Perturbation Methods, Bifurcation Theory and Computer Algebra
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Springer-Verlag New York Inc., 1987
ISBN 10: 0387965890
ISBN 13: 9780387965895
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Paperback / softback. Condizione: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 850. Codice articolo C9780387965895
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