Methods and applications of singular perturbations : boundary layers and multiple timescale dynamics /

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Bibliographic Details
Author / Creator:Verhulst, F. (Ferdinand), 1939-
Imprint:New York : Springer, c2005.
Description:1 online resource (xv, 324 p.) : ill.
Language:English
Series:Texts in applied mathematics ; 50
Texts in applied mathematics ; 50.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/8874879
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ISBN:9780387229669 (acid-free paper)
0387229663 (acid-free paper)
9780387283135
0387283137
6611334424
9786611334420
Notes:Includes bibliographical references (p. [309]-320) and index.
Summary:"Perturbation theory is the main focus of this workbook. In a systematic introductory manner this book delineates 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 make 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, among them a summary of the Perturbation Theory of Matrices." "Detailed illustrations, 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."--Jacket.
Other form:Print version: Verhulst, F. (Ferdinand), 1939- Methods and applications of singular perturbations. New York : Springer, c2005 0387229663 9780387229669