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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 QA370-380
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|a 515.35
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|a Verhulst, Ferdinand.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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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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|a 1st ed. 2005.
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|a New York, NY :
|b Springer New York :
|b Imprint: Springer,
|c 2005.
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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
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|a online resource
|b cr
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|a text file
|b PDF
|2 rda
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|a Texts in Applied Mathematics,
|x 2196-9949 ;
|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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|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 Differential equations.
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|a Mathematical physics.
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|a Dynamical systems.
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|a Numerical analysis.
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650 |
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|a Mathematics.
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|a Differential Equations.
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650 |
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|a Mathematical Methods in Physics.
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650 |
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|a Dynamical Systems.
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650 |
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|a Numerical Analysis.
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650 |
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|a Applications of Mathematics.
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710 |
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|a SpringerLink (Online service)
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|t Springer Nature eBook
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|i Printed edition:
|z 9780387502144
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776 |
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|i Printed edition:
|z 9781441919922
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776 |
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|i Printed edition:
|z 9780387229669
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830 |
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|a Texts in Applied Mathematics,
|x 2196-9949 ;
|v 50
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856 |
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|u https://doi.uam.elogim.com/10.1007/0-387-28313-7
|z Texto Completo
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|a ZDB-2-SMA
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912 |
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|a ZDB-2-SXMS
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950 |
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|a Mathematics and Statistics (SpringerNature-11649)
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950 |
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|a Mathematics and Statistics (R0) (SpringerNature-43713)
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