Mathematical Physics

Download E-books Perturbation Methods, Bifurcation Theory and Computer Algebra (Applied Mathematical Sciences) PDF

Perturbation tools have regularly been a tremendous instrument for treating nonlinear differential equations. Now the drudgery linked to them has been eradicated! This ebook bargains desktop algebra (MACSYMA) courses which enforce the most well-liked perturbation equipment. not just does this keep away from the mistakes linked to hand computation, however the bring up in potency allows extra complex difficulties to be tackled. This publication comes in handy either for the newbie studying perturbation equipment for the 1st time, in addition to for the researcher. tools lined contain: Lindstedt's procedure, heart manifolds, general varieties, variable enlargement strategy (method of a number of scales), averaging, Lie transforms and Liapunov-Schmidt aid. for every process the ebook comprises an creation and a few instance difficulties solved either via hand and by means of desktop. The examples characteristic universal bifurcations reminiscent of the pitchfork and the Hopf. The MACSYMA code for every procedure is given and advised routines are supplied on the finish of every bankruptcy. An Appendix deals a short advent to MACSYMA.

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