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- catalog abstract "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.".
- catalog contributor b1919857.
- catalog contributor b1919858.
- catalog created "c1987.".
- catalog date "1987".
- catalog date "c1987.".
- catalog dateCopyrighted "c1987.".
- catalog description "Bibliography: p. [235]-238.".
- catalog description "Contents: Lindstedt's Method -- Center Manifolds -- Normal Forms -- The Two Variable Expansion Method -- Averaging -- Lie Transforms -- Liapunov-Schmidt Reduction -- Introduction to MACSYMA -- References -- Index.".
- catalog description "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.".
- catalog extent "ix, 243 p. ;".
- catalog identifier "0387965890 :".
- catalog isPartOf "Applied mathematical sciences (Springer-Verlag New York Inc.) ; v. 65.".
- catalog isPartOf "Applied mathematical sciences ; v. 65".
- catalog issued "1987".
- catalog issued "c1987.".
- catalog language "eng".
- catalog publisher "New York : Springer-Verlag,".
- catalog subject "510 s 515.3/53 19".
- catalog subject "Algebra Data processing.".
- catalog subject "Bifurcation theory.".
- catalog subject "Global analysis (Mathematics).".
- catalog subject "MACSYMA.".
- catalog subject "Mathematics.".
- catalog subject "Perturbation (Mathematics)".
- catalog subject "QA1 .A647 vol. 65 QA871".
- catalog tableOfContents "Contents: Lindstedt's Method -- Center Manifolds -- Normal Forms -- The Two Variable Expansion Method -- Averaging -- Lie Transforms -- Liapunov-Schmidt Reduction -- Introduction to MACSYMA -- References -- Index.".
- catalog title "Perturbation methods, bifurcation theory, and computer algebra / Richard H. Rand, Dieter Armbruster.".
- catalog type "text".