Beyond Perturbation: Introduction to the Homotopy Analysis Method (Modern Mathematics and Mechanics)
Editorial Reviews
Review
The author has invested a great amount of effort into determining all the power series and computing the functions depicted in the figures.
-Mathematical Reviews, Issue 2005h
… an excellent reference to researchers, engineers, and interested individuals in helping them tackle nonlinear problems in an analytical fashion…a good subject index and an outstanding list of bibliography with 136 references cited…very well written and is relatively easy to follow to the mathematically literate person. I highly recommend that it be acquired by interested individuals and libraries throughout.
-Applied Mathematics Review, Vol. 57, No. 5, September 2004
This monograph offers the opportunity to explore the details of the valuable new approach both in the theory and on many interesting examples. It will be useful to specialists working in applied nonlinear analysis.
-Zentralblatt MATH 1051
Book Description
Solving nonlinear problems is inherently difficult, and the stronger the nonlinearity, the more intractable solutions become. This book introduces a powerful new analytic method for nonlinear problems-homotopy analysis-that remains valid even with strong nonlinearity. The author starts with a very simple example, then presents the basic ideas, detailed procedures, and the advantages (and limitations) of homotopy analysis. Part II illustrates the application of homotopy analysis to many interesting nonlinear problems.Written by a pioneer in its development, Beyond Pertubation: Introduction to the Homotopy Analysis Method is the first book to explore the details of this valuable new approach.
Beyond Perturbation: Introduction to the Homotopy Analysis Method (Modern Mathematics and Mechanics)
Beyond Perturbation (Modern Mathematics and Mechanics),Shijun Liao,Chapman & Hall/CRC,158488407X,Applied,General,Homotopy theory,Mathematical analysis,Mathematics,Science/Mathematics,Mathematics / Applied
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