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Practical applied mathematics : modelling, analysis, approximation /

Bibliographic Details
Main Author: Howison, Sam
Format: Book
Language:English
Published: Cambridge ; New York : Cambridge University Press, 2005.
Series:Cambridge texts in applied mathematics.
Subjects:
Differential equations.
Differential equations, Partial.
Mathematical physics.
Table of Contents:
  • 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.