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Klappentext Mathematical modelling is the basis of almost all applied mathematics. A 'real-world' problem is dissected and phrased in a mathematical setting! allowing it to be simplified and ultimately solved. This book presents a thorough grounding in the techniques of modelling! and proceeds to explore a range of classical and continuum models from an impressive array of disciplines! including: biology! chemical engineering! fluid and solid mechanics! geophysics! medicine! and physics. It assumes only a basic mathematical grounding in calculus and analysis and will provide a wealth of examples for students of mathematics! engineering! and the range of applied sciences. Zusammenfassung 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. Inhaltsverzeichnis 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.
