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03506nam a22005775i 4500 |
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978-0-387-28313-5 |
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DE-He213 |
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20151204161348.0 |
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cr nn 008mamaa |
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100301s2005 xxu| s |||| 0|eng d |
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|a 9780387283135
|9 978-0-387-28313-5
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|a 10.1007/0-387-28313-7
|2 doi
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|a QA372
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|a MAT007000
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|a 515.352
|2 23
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|a Verhulst, Ferdinand.
|e author.
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|a Methods and Applications of Singular Perturbations
|h [electronic resource] :
|b Boundary Layers and Multiple Timescale Dynamics /
|c by Ferdinand Verhulst.
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| 264 |
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|a New York, NY :
|b Springer New York,
|c 2005.
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| 300 |
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|a XVI, 328 p.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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|a text file
|b PDF
|2 rda
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|a Texts in Applied Mathematics,
|x 0939-2475 ;
|v 50
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|a Basic Material -- Approximation of Integrals -- Boundary Layer Behaviour -- Two-Point Boundary Value Problems -- Nonlinear Boundary Value Problems -- Elliptic Boundary Value Problems -- Boundary Layers in Time -- Evolution Equations with Boundary Layers -- The Continuation Method -- Averaging and Timescales -- Advanced Averaging -- Averaging for Evolution Equations -- Wave Equations on Unbounded Domains.
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| 520 |
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|a 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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| 650 |
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|a Mathematics.
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| 650 |
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|a Dynamics.
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| 650 |
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|a Ergodic theory.
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| 650 |
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|a Differential equations.
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| 650 |
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|a Partial differential equations.
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| 650 |
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|a Applied mathematics.
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| 650 |
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|a Engineering mathematics.
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| 650 |
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|a Numerical analysis.
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| 650 |
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|a Physics.
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4 |
|a Mathematics.
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| 650 |
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4 |
|a Ordinary Differential Equations.
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| 650 |
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4 |
|a Partial Differential Equations.
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| 650 |
2 |
4 |
|a Mathematical Methods in Physics.
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| 650 |
2 |
4 |
|a Dynamical Systems and Ergodic Theory.
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| 650 |
2 |
4 |
|a Numerical Analysis.
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| 650 |
2 |
4 |
|a Applications of Mathematics.
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| 710 |
2 |
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|a SpringerLink (Online service)
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| 773 |
0 |
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|t Springer eBooks
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| 776 |
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8 |
|i Printed edition:
|z 9780387229669
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| 830 |
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|a Texts in Applied Mathematics,
|x 0939-2475 ;
|v 50
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| 856 |
4 |
0 |
|u http://dx.doi.org/10.1007/0-387-28313-7
|z Full Text via HEAL-Link
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| 912 |
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|a ZDB-2-SMA
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| 950 |
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|a Mathematics and Statistics (Springer-11649)
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