Practical Applied Mathematics: Modelling, Analysis, Approximation

Front Cover
Drawing from a wide variety of mathematical subjects, this book aims to show how mathematics is realised in practice in the everyday world. 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 is similarly varied, from the modelling of hair to piano tuning, egg incubation and traffic flow. The style is informal but not superficial. In addition, the text is supplemented by a large number of exercises and sideline discussions, assisting the reader's grasp of the material. Used either in the classroom by upper-undergraduate students, or as extra reading for any applied mathematician, this book illustrates how the reader's knowledge can be used to describe the world around them.
 

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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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