Methods and applications of singular perturbations: boundary layers and multiple timescale dynamics
- New York: Springer, 2010.
- xv, 324 p.: ill.; pb; 24 cm.
- Texts in applied mathematics; v. 50. .
Includes bibliographical references (p. [309]-320) and index.
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.