Name: perturbation methods, bifurcation theory and computer algebra
SKU: 3428963
Price: 1865.00 TWD
Availability: InStock
Author: rand,armbruster
ISBN: 9780387965895

portada perturbation methods, bifurcation theory and computer algebra

perturbation methods, bifurcation theory and computer algebra

Type

Physical Book

Publisher

Springer

Author

rand,armbruster

Language

English

Pages

251

ISBN

0387965890

ISBN13

9780387965895

Synopsis "perturbation methods, bifurcation theory and computer algebra"

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: lindstedts 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.