Practical Applied Mathematics: Modelling, Analysis, Approximation

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Cambridge University Press, Mar 24, 2005 - Mathematics - 326 pages
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Drawing from an exhaustive variety of mathematical subjects, including real and complex analysis, fluid mechanics and asymptotics, this book demonstrates how mathematics can be intelligently applied within the specific context to a wide range of industrial uses. The volume is directed to undergraduate and graduate students.
 

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Contents

Units dimensions and dimensional analysis
15
Nondimensionalisation
35
hair modelling and cable laying
50
the thermistor 1
63
Partial differential equations
81
traffic modelling
104
Theory of distributions
140
the pantograph
157
electrostatic painting 2
200
Boundary layers
216
the thermistor 2
235
continuous casting of steel
255
turning of eggs during incubation
285
Ray theory and the WKB method
303
References
318
Copyright

Asymptotic expansions
173

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