Practical applied mathematics : modelling, analysis, approximation / Sam Howison.
"Dozens of applications are used to show that applied mathematics is much more than a series of academic calculations. Mathematical topics covered include distributions, ordinary and partial differential equations, and asymptotic methods as well as basics of modelling. The range of applications...
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| Online Access: |
Full Text (via Cambridge) |
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| Main Author: | |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York :
Cambridge University Press,
2005.
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| Series: | Cambridge texts in applied mathematics.
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| Subjects: |
Table of Contents:
- The basics of modelling
- Units, dimensions and dimensional analysis
- Nondimensionalisation
- Case studies: hair modelling and cable laying
- Case study: the thermistor (1)
- Case study: electrostatic painting (1)
- Partial differential equations
- Case study: traffic modelling
- The delta function and other distributions
- Theory of distributions
- Case study: the pantograph
- Asymptotic expansions
- Regular perturbation expansions
- Case study: electrostatic painting (2)
- Case study: piano tuning
- Boundary layers
- Case study: the thermistor (2)
- 'Lubrication theory' analysis in long thin domains
- Case study: continuous casting of steel
- Lubrication theory for fluids
- Case study: turning of eggs during incubation
- Multiple scales and other methods for nonlinear oscillators
- Ray theory and the WKB method.