'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

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.
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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.
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.
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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.

Product details

ISBN
9780521467032
Published
1997-11-28
Publisher
Cambridge University Press
Weight
700 gr
Height
246 mm
Width
173 mm
Thickness
24 mm
Age
U, P, 05, 06
Language
Product language
Engelsk
Format
Product format
Heftet
Number of pages
424

Author