| Review: |
Mathematical modelling, the ability to apply mathematical concepts and techniques to real-life systems, has expanded in the last few decades. This textbook covers the applications of modelling techniques, with a focus on applications in natural sciences, the relevant ideas and techniques being illustrated through examples and exercises. The chapters are each devoted to a central issue: dimensional analysis and scaling; the basic elements of modelling; the basics of differential equations; and stability and robustness. The last chapter has elaborate case studies in polymer dynamics, fibre spinning, water waves and waveguide optics. |