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.