Mathematical Models in the Applied Sciences / Edition 1

Mathematical Models in the Applied Sciences / Edition 1

by A. C. Fowler
     
 

ISBN-10: 0521467039

ISBN-13: 9780521467032

Pub. Date: 10/28/2004

Publisher: Cambridge University Press

This book presents a thorough grounding in the techniques of modeling, and proceeds to explore a range of 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

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Overview

This book presents a thorough grounding in the techniques of modeling, and proceeds to explore a range of 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.

Product Details

ISBN-13:
9780521467032
Publisher:
Cambridge University Press
Publication date:
10/28/2004
Series:
Cambridge Texts in Applied Mathematics, #17
Edition description:
New Edition
Pages:
402
Product dimensions:
5.98(w) x 8.98(h) x 0.87(d)

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.

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