| Review: |
Mathematic modelling applies mathematical concepts to real-life situations. This textbook describes applications of modelling techniques, introducing the relevant ideas and techniques through examples and exercises. There are chapters on: Dimensional analysis and scaling; Conservation principles and constitutive relations; Basic concepts; Stability and robustness; Variational modelling. The last chapter, Advanced models, describes case studies in polymer dynamics, fibre spinning, surface water waves, and waveguide optics. |