Practical Applied Mathematics: Modelling, Analysis, Approximation

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Cambridge University Press, 24. mar. 2005 - 326 síður
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.
 

Efni

1
11
3
21
2
52
7
81
5
94
traffic modelling
104
9
114
5
121
electrostatic painting 2
200
Boundary layers
216
the thermistor 2
235
continuous casting of steel
255
Lubrication theory for fluids
263
turning of eggs during incubation
285
Multiple scales and other methods for nonlinear oscillators
292
Ray theory and the WKB method
303

Theory of distributions
140
the pantograph
157
Asymptotic expansions
173
References
318
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