Part I. Introduction: 1. Mathematical modelling; Part II. Methods: 2. Non-dimensionalisation; 3. Asymptotics; 4. Perturbation methods; Part III. Classical Models: 5. Heat transfer; 6. Viscous flow; 7. Solid mechanics; 8. Electromagnetism; Part IV. Continuum Models: 9. Enzyme kinetics; 10. The Belousov-Zhabotinskii reaction; 11. Spruce budworm infestations; 12. Chemical reactors; 13. Groundwater flow; 14. Convection in a porous medium; 15. River flow; 16. One-dimensional two-phase flow; Part V. Advanced Models: 17. Alloy solidification; 18. Ice sheet dynamics; 19. Chemosensory respiratory control; 20. Frost heave in freezing soils; References.
Presents a thorough grounding in the techniques of mathematical modelling, and proceeds to explore a range of classical and continuum models from an array of disciplines.
'The presented case studies are almost self-contained and span an incredible breadth of applied science and engineering ... a must for university libraries ... I would ... recommend the book to anyone who is excited by the power of mathematics in describing the word. It might even become a classic of the genre.' John McCloskey, The Times Higher Education Supplement 'This volume will broaden the horizons of all professional applied mathematics.' C. Isenberg, Contemporary Physics 'Fowler's book is an outstanding contribution to the graduate textbook literature. Reading portions of Fowler's book will give a student a good idea about what applied mathematics really is ...' Society for Industrial and Applied mathematics
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