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Singular Perturbations Introduction to System Order Reduction Methods with Applications /
These lecture notes provide a fresh approach to investigating singularly perturbed systems using asymptotic and geometrical techniques. It gives many examples and step-by-step techniques, which will help beginners move to a more advanced level. Singularly perturbed systems appear naturally in the mo...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cham :
Springer International Publishing : Imprint: Springer,
2014.
|
| Edición: | 1st ed. 2014. |
| Colección: | Lecture Notes in Mathematics,
2114 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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| 001 | 978-3-319-09570-7 | ||
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| 008 | 141006s2014 sz | s |||| 0|eng d | ||
| 020 | |a 9783319095707 |9 978-3-319-09570-7 | ||
| 024 | 7 | |a 10.1007/978-3-319-09570-7 |2 doi | |
| 050 | 4 | |a QA370-380 | |
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| 082 | 0 | 4 | |a 515.35 |2 23 |
| 100 | 1 | |a Shchepakina, Elena. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Singular Perturbations |h [electronic resource] : |b Introduction to System Order Reduction Methods with Applications / |c by Elena Shchepakina, Vladimir Sobolev, Michael P. Mortell. |
| 250 | |a 1st ed. 2014. | ||
| 264 | 1 | |a Cham : |b Springer International Publishing : |b Imprint: Springer, |c 2014. | |
| 300 | |a XIII, 212 p. 50 illus. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Lecture Notes in Mathematics, |x 1617-9692 ; |v 2114 | |
| 505 | 0 | |a Introduction -- Slow Integral Manifolds -- The Book of Numbers -- Representations of Slow Integral Manifolds -- Singular Singularly Perturbed Systems -- Reduction Methods for Chemical Systems -- Specific Cases -- Canards and Black Swans -- Appendix: Proofs. | |
| 520 | |a These lecture notes provide a fresh approach to investigating singularly perturbed systems using asymptotic and geometrical techniques. It gives many examples and step-by-step techniques, which will help beginners move to a more advanced level. Singularly perturbed systems appear naturally in the modelling of many processes that are characterized by slow and fast motions simultaneously, for example, in fluid dynamics and nonlinear mechanics. This book's approach consists in separating out the slow motions of the system under investigation. The result is a reduced differential system of lesser order. However, it inherits the essential elements of the qualitative behaviour of the original system. Singular Perturbations differs from other literature on the subject due to its methods and wide range of applications. It is a valuable reference for specialists in the areas of applied mathematics, engineering, physics, biology, as well as advanced undergraduates for the earlier parts of the book, and graduate students for the later chapters. | ||
| 650 | 0 | |a Differential equations. | |
| 650 | 0 | |a Dynamical systems. | |
| 650 | 0 | |a Mathematical physics. | |
| 650 | 0 | |a Biomathematics. | |
| 650 | 0 | |a Engineering mathematics. | |
| 650 | 0 | |a Engineering-Data processing. | |
| 650 | 0 | |a Thermodynamics. | |
| 650 | 0 | |a Heat engineering. | |
| 650 | 0 | |a Heat transfer. | |
| 650 | 0 | |a Mass transfer. | |
| 650 | 1 | 4 | |a Differential Equations. |
| 650 | 2 | 4 | |a Dynamical Systems. |
| 650 | 2 | 4 | |a Mathematical Physics. |
| 650 | 2 | 4 | |a Mathematical and Computational Biology. |
| 650 | 2 | 4 | |a Mathematical and Computational Engineering Applications. |
| 650 | 2 | 4 | |a Engineering Thermodynamics, Heat and Mass Transfer. |
| 700 | 1 | |a Sobolev, Vladimir. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Mortell, Michael P. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783319095714 |
| 776 | 0 | 8 | |i Printed edition: |z 9783319095691 |
| 830 | 0 | |a Lecture Notes in Mathematics, |x 1617-9692 ; |v 2114 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-319-09570-7 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
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| 912 | |a ZDB-2-LNM | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||