Methods of Mathematical Modelling Continuous Systems and Differential Equations /
This book presents mathematical modelling and the integrated process of formulating sets of equations to describe real-world problems. It describes methods for obtaining solutions of challenging differential equations stemming from problems in areas such as chemical reactions, population dynamics, m...
| Published in: | Springer eBooks |
|---|---|
| Main Authors: | , |
| Corporate Author: | |
| Format: | eBook |
| Language: | English |
| Published: |
Cham :
Springer International Publishing : Imprint: Springer,
2015.
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| Edition: | 1st ed. 2015. |
| Series: | Springer Undergraduate Mathematics Series,
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| Subjects: | |
| Online Access: | http://dx.doi.org/10.1007/978-3-319-23042-9 Перейти в каталог НБ ТГУ |
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| 100 | 1 | |a Witelski, Thomas. |e author. |9 467305 | |
| 245 | 1 | 0 | |a Methods of Mathematical Modelling |h electronic resource |b Continuous Systems and Differential Equations / |c by Thomas Witelski, Mark Bowen. |
| 250 | |a 1st ed. 2015. | ||
| 260 | |a Cham : |b Springer International Publishing : |b Imprint: Springer, |c 2015. |9 742221 | ||
| 300 | |a XVIII, 305 p. 50 illus., 45 illus. in color. |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 | ||
| 490 | 1 | |a Springer Undergraduate Mathematics Series, |x 1615-2085 | |
| 505 | 0 | |a Rate equations -- Transport equations -- Variational principles -- Dimensional scaling analysis -- Self-similar scaling solutions of differential equations -- Perturbation methods -- Boundary layer theory -- Long-wave asymptotics for PDE problems -- Weakly-nonlinear oscillators -- Fast/slow dynamical systems -- Reduced models for PDE problems -- Modelling in applied fluid dynamics. | |
| 520 | |a This book presents mathematical modelling and the integrated process of formulating sets of equations to describe real-world problems. It describes methods for obtaining solutions of challenging differential equations stemming from problems in areas such as chemical reactions, population dynamics, mechanical systems, and fluid mechanics. Chapters 1 to 4 cover essential topics in ordinary differential equations, transport equations and the calculus of variations that are important for formulating models. Chapters 5 to 11 then develop more advanced techniques including similarity solutions, matched asymptotic expansions, multiple scale analysis, long-wave models, and fast/slow dynamical systems. Methods of Mathematical Modelling will be useful for advanced undergraduate or beginning graduate students in applied mathematics, engineering and other applied sciences. | ||
| 650 | 0 | |a mathematics. |9 566183 | |
| 650 | 0 | |a Differential Equations. |9 303496 | |
| 650 | 0 | |a Partial Differential Equations. |9 303602 | |
| 650 | 0 | |a Mathematical physics. |9 296775 | |
| 650 | 0 | |a Mathematical models. |9 460208 | |
| 650 | 0 | |a Calculus of variations. |9 421215 | |
| 650 | 1 | 4 | |a Mathematics. |9 566184 |
| 650 | 2 | 4 | |a Ordinary Differential Equations. |9 303501 |
| 650 | 2 | 4 | |a Partial Differential Equations. |9 303602 |
| 650 | 2 | 4 | |a Mathematical Applications in the Physical Sciences. |9 410541 |
| 650 | 2 | 4 | |a Mathematical Modeling and Industrial Mathematics. |9 303944 |
| 650 | 2 | 4 | |a Calculus of Variations and Optimal Control; Optimization. |9 306640 |
| 700 | 1 | |a Bowen, Mark. |e author. |9 467306 | |
| 710 | 2 | |a SpringerLink (Online service) |9 143950 | |
| 773 | 0 | |t Springer eBooks | |
| 830 | 0 | |a Springer Undergraduate Mathematics Series, |9 314949 | |
| 856 | 4 | 0 | |u http://dx.doi.org/10.1007/978-3-319-23042-9 |
| 856 | |y Перейти в каталог НБ ТГУ |u https://koha.lib.tsu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=415068 | ||
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| 950 | |a Mathematics and Statistics (Springer-11649) | ||
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