Practical applied mathematics : modelling, analysis, approximation /
Howison, Sam.
Cambridge : Cambridge University Press,
2005.
Includes bibliographical references (p. 318-320) and index.
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.
Differential equations.
Differential equations, Partial.
Mathematical physics.