Texts in Applied Mathematics 50. xv, 324 p. 24 cm. 26 illustrations. Ex library with labels on spine and front cover, ink stamps on top edge and title. Spine a bit faded.

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Bibliographic Details

Title

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

Publisher

Springer

Publication Date

2005

Language

English

ISBN 10

0387229663

ISBN 13

9780387229669

Binding

Hardcover

Condition

ex library-good

Seller catalogs

Science

About this title

Synopsis

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.

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