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More About This Textbook
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.
Editorial Reviews
From the Publisher
"This is a beautiful book...provides an excellent source of insights, techniques, examples, models, open questions and literature for anyone interested in advanced (physical) mathematical modeling." Mathematical Reviews"Mathematical Models in Applied Sciences is highly recommended for advance students of mathematics, engineering, and a wide range of applied sciences. Every library of a university that has a program in science and technology should have a copy of this book." Applied Mechanics Review
"...extremely well written. The book belongs on the shelf of any graduate student and any instructor involved with mathematical modeling. Even if for nothing more than its extensive and remarkably current bibliography, this book will be a valuable reference for anyone with an interest in applied mathematics in general and in mathematical modeling in particular." The UMAP Journal
"...I found the book very comprehensive and clearly written, covering enough detail without losing its general purpose." The Leading Edge
"In the reviewer's opinion, Fowler's book is an outstanding contribution to the graduate textbook literature. The exposition is oncise, and it shows the author's broad experience and insight into modeling...Reading portions of Fowler's book will give a student a good idea about what applied mathematics really is..." SIAM REVIEW
"...highly recommended to anyone interested in deterministic modeling...a well-written book. Even though the treatment is advanced, the writing style is straightforward. Each topic is presented clearly, equation components are clearly defined, and example problems are presented at the end of each chapter making this an excellent candidate for a classroom text...I grew intellectually through my review of this book." Mathematical Geology
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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.