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Methods and Applications of Singular Perturbations: Boundary Layers and Multiple Timescale Dynamics (Texts in Applied Mathematics, 50, Band 50) - Hardcover

Verhulst, Ferdinand

 
9780387229669: Methods and Applications of Singular Perturbations: Boundary Layers and Multiple Timescale Dynamics (Texts in Applied Mathematics, 50, Band 50)
Hardcover
ISBN 10: 0387229663 ISBN 13: 9780387229669
Verlag: Springer, 2005

Inhaltsangabe

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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Von der hinteren Coverseite

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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Verlag
Springer
Erscheinungsdatum
2005
Sprache
Englisch
ISBN 10 
0387229663
ISBN 13 
9780387229669
Einband
Gebundene Ausgabe
Anzahl der Seiten
344
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