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03307nam a22005535i 4500 |
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978-3-319-23042-9 |
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DE-He213 |
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20151204155727.0 |
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cr nn 008mamaa |
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150918s2015 gw | s |||| 0|eng d |
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|a 9783319230429
|9 978-3-319-23042-9
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|a 10.1007/978-3-319-23042-9
|2 doi
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|d GrThAP
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|a QA372
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|a PBKJ
|2 bicssc
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|a MAT007000
|2 bisacsh
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|a 515.352
|2 23
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|a Witelski, Thomas.
|e author.
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|a Methods of Mathematical Modelling
|h [electronic resource] :
|b Continuous Systems and Differential Equations /
|c by Thomas Witelski, Mark Bowen.
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| 250 |
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|a 1st ed. 2015.
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| 264 |
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1 |
|a Cham :
|b Springer International Publishing :
|b Imprint: Springer,
|c 2015.
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| 300 |
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|a XVIII, 305 p. 50 illus., 45 illus. in color.
|b online resource.
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| 336 |
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|a text
|b txt
|2 rdacontent
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| 337 |
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|a computer
|b c
|2 rdamedia
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| 338 |
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|a online resource
|b cr
|2 rdacarrier
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| 347 |
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|a text file
|b PDF
|2 rda
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| 490 |
1 |
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|a Springer Undergraduate Mathematics Series,
|x 1615-2085
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| 505 |
0 |
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|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.
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| 520 |
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|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.
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| 650 |
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0 |
|a Mathematics.
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| 650 |
|
0 |
|a Differential equations.
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| 650 |
|
0 |
|a Partial differential equations.
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| 650 |
|
0 |
|a Mathematical physics.
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| 650 |
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0 |
|a Mathematical models.
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| 650 |
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0 |
|a Calculus of variations.
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| 650 |
1 |
4 |
|a Mathematics.
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| 650 |
2 |
4 |
|a Ordinary Differential Equations.
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| 650 |
2 |
4 |
|a Partial Differential Equations.
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| 650 |
2 |
4 |
|a Mathematical Applications in the Physical Sciences.
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| 650 |
2 |
4 |
|a Mathematical Modeling and Industrial Mathematics.
|
| 650 |
2 |
4 |
|a Calculus of Variations and Optimal Control; Optimization.
|
| 700 |
1 |
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|a Bowen, Mark.
|e author.
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| 710 |
2 |
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|a SpringerLink (Online service)
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| 773 |
0 |
|
|t Springer eBooks
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| 776 |
0 |
8 |
|i Printed edition:
|z 9783319230412
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| 830 |
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0 |
|a Springer Undergraduate Mathematics Series,
|x 1615-2085
|
| 856 |
4 |
0 |
|u http://dx.doi.org/10.1007/978-3-319-23042-9
|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)
|
