Perturbation Methods, Bifurcation Theory and Computer Algebra (Paperback)

Richard H. Rand

ISBN 10: 0387965890 / ISBN 13: 9780387965895

Published by Springer-Verlag New York Inc., New York, NY, 1987

About this Item

Paperback. 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. Perturbation methods have always been an important tool for treating nonlinear differential equations. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Seller Inventory # 9780387965895

Bibliographic Details

• Title: Perturbation Methods, Bifurcation Theory and Computer Algebra (Paperback)
• Publisher: Springer-Verlag New York Inc., New York, NY
• Publication Date: 1987
• Language: English
• ISBN 10: 0387965890
• ISBN 13: 9780387965895
• Binding: Paperback
• Condition: new

About this title

Synopsis

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.