Methods and Applications of Singular Perturbations: Boundary Layers and Multiple Timescale Dynamics . Texts in Applied Mathematics 50.

Verhulst, Ferdinand.

ISBN 10: 0387229663 / ISBN 13: 9780387229669

Editore: Springer2005., 2005

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Hardcover. Very good. Xv,324pp.

Codice articolo 107576

Dati bibliografici

• Titolo: Methods and Applications of Singular Perturbations: Boundary Layers and Multiple Timescale Dynamics . Texts in Applied Mathematics 50.
• Editore: Springer2005.
• Data di pubblicazione: 2005
• Lingua: Inglese
• ISBN 10: 0387229663
• ISBN 13: 9780387229669
• Rilegatura: Rilegato
• Condizione: Gebraucht / Used

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Riassunto

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.