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Verhulst F. — Methods and Applications of Singular Perturbations: Boundary Layers and Multiple Timescale Dynamics
Verhulst F. — Methods and Applications of Singular Perturbations:  Boundary Layers and Multiple Timescale Dynamics

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

Автор: Verhulst F.

Аннотация:

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.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Неизвестно

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Год издания: 2005

Количество страниц: 324

Добавлена в каталог: 05.12.2009

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