TY - GEN AU - Verhulst, Ferdinand TI - Methods and applications of singular perturbations: boundary layers and multiple timescale dynamics SN - 9781441919922 U1 - 515.35 PY - 2010/// CY - New York PB - Springer KW - Mathematics KW - Analysis KW - Integrals KW - Nonlinear Boundary KW - Averaging KW - Unbounded Domains KW - Elliptic boundary KW - Boundary layers N1 - Includes bibliographical references (p. [309]-320) and index N2 - Perturbation theory is the main focus of this workbook. In a systematic introductory manner this book delineates boundary layer theory for ordinary and partial differential equations, multi-timescale phenomena for nonlinear oscillations, diffusion and nonlinear wave equations. The book provides analysis of simple examples in the context of the general theory, as well as a final discussion of the more advanced problems. Precise estimates and excursions into the theoretical background make this workbook valuable to both the applied sciences and mathematics fields. As a bonus in its last chapter the book includes a collection of rare and useful pieces of literature, among them a summary of the Perturbation Theory of Matrices ER -