Perturbation Methods Bifurcation Theory and Computer Algebra is popular PDF and ePub book, written by Richard H. Rand in 2012-12-06, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Perturbation Methods Bifurcation Theory and Computer Algebra can be Read Online from any device for your convenience.
Perturbation Methods Bifurcation Theory and Computer Algebra Book PDF Summary
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.
Detail Book of Perturbation Methods Bifurcation Theory and Computer Algebra PDF
- Author : Richard H. Rand
- Release : 06 December 2012
- Publisher : Springer Science & Business Media
- ISBN : 9781461210603
- Genre : Mathematics
- Total Page : 254 pages
- Language : English
- PDF File Size : 16,7 Mb
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