## Practical Applied Mathematics: Modelling, Analysis, ApproximationDrawing 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 |

318 | |

Asymptotic expansions | 173 |

### Other editions - View all

Practical Applied Mathematics: Modelling, Analysis, Approximation Sam Howison No preview available - 2005 |

### Common terms and phrases

analysis approximation assume asymptotic expansion balance beam boundary conditions boundary layer cable calculate Chapter characteristic projections coefficient conformal maps conservation Consider constant curve cylinder Deduce delta function density derivative dimensional dimensionless dimensionless parameter dimensions displacement distribution eigenvalue electric field example Exercise exponential Figure first-order Fredholm Alternative frequency gives gradient Green's function harmonics heat equation heat flow heat flux inner expansion integral kinematic kinematic wave Laplace's equation leading order leading-order linear look mass matching mathematical nonlinear normal Note ordinary differential equation oscillations outer expansion pantograph partial differential equation particles physical point force potential pressure radius Rankine-Hugoniot rays region regular expansion Reynolds number right-hand side satisfies scale shock solution solve speed string Suppose surface Taylor series temperature test functions theorem theory thermistor thin timescale traffic unit value problem variables vector velocity viscous fluid wave equation write yolk zero