Mathematical Models in the Applied Sciences
Mathematical Models in the Applied Sciences
AUD$133.95
inc GSTMathematical 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.
- Based on successful Oxford course
- Covers extremely diverse range of models
- Comprehensive coverage of techniques
Reviews & endorsements
'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
Product details
February 1998Paperback
9780521467032
424 pages
246 × 173 × 24 mm
0.7kg
106 b/w illus. 1 colour illus. 121 exercises
Available
Table of Contents
- 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.
