Methods and Applications of Singular Perturbations: Boundary Layers and Multiple Timescale Dynamics

Ferdinand Verhulst

ISBN 10: 0387229663 / ISBN 13: 9780387229669

Editore: Springer New York, 2005

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Contains well-chosen examples and exercises A student-friendly introduction that follows a workbook type approach|Perturbation theory, one of the most intriguing and essential topics in mathematics, and its applications to the natural and e. Codice articolo 458428054

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Titolo: Methods and Applications of Singular ...

Casa editrice: Springer New York

Data di pubblicazione: 2005

Legatura: Gebunden

Condizione: New

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Riassunto:

Contains well-chosen examples and exercises

A student-friendly introduction that follows a workbook type approach

Dalla quarta di copertina:

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.