Perturbation theory, one of the most intriguing and essential topics in mathematics, and its applications to the natural and engineering sciences is the main focus of this workbook. In a systematic introductory manner, this unique book deliniates 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 makes 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, such as the summary of the Perturbation theory of Matrices. Detailed illustrations, stimulating examples and exercises as well as a clear explanation of the underlying theory makes this workbook ideal for senior undergraduate and beginning graduate students in applied mathematics as well as science and engineering fields.
| Autorius: | Ferdinand Verhulst |
| Serija: | Texts in Applied Mathematics |
| Leidėjas: | Springer US |
| Išleidimo metai: | 2010 |
| Knygos puslapių skaičius: | 344 |
| ISBN-10: | 1441919929 |
| ISBN-13: | 9781441919922 |
| Formatas: | Knyga minkštu viršeliu |
| Kalba: | Anglų |
| Žanras: | Cybernetics and systems theory |
Parašykite atsiliepimą apie „Methods and Applications of Singular Perturbations: Boundary Layers and Multiple Timescale Dynamics“
