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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.
- Sales Rank: #2420243 in Books
- Brand: Brand: Cambridge University Press
- Published on: 1997-11-28
- Original language: English
- Number of items: 1
- Dimensions: 8.98" h x .87" w x 5.98" l, 1.55 pounds
- Binding: Paperback
- 424 pages
- Used Book in Good Condition
Review
"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
About the Author
Previous books by this editor: Acta Numerica 1992 - 2003 (Vols 1 - 12); as author: First Course in the Numerical Analysis of Differential Equations (0521 553768), Approximation Theory and Optimization (0521 581907).
Most helpful customer reviews
4 of 4 people found the following review helpful.
outstanding
By Glenn Ledder
This is an outstanding book on mathematical modeling at the graduate level. The author begins with the essential mathematical ideas, such as dimensional analysis, asymptotics, and perturbation methods. The following section includes chapters on classic models of heat transfer, viscous flow, solid mechanics, and electromagnetism. The greatest strength of the book is in the next section, which contains detailed case studies for a variety of interesting continuum models in chemistry, biology, hydrogeology, and engineering. My personal favorite is the chapter on the Belousov-Zhabotinskii reaction, which is a rare example of a chemical oscillator. Fowler presents a model just detailed enough to capture the qualitative behavior of the reaction and offers a clear and thorough explanation of what reaction features are responsible for each regime in the cycle. Make no mistake about the level of this book: it is very challenging and best reserved for readers who already have some experience in asymptotics and continuum mechanics. It is well worth the effort for those who have the necessary background and motivation.
Glenn Ledder, Associate Professor of Mathematics, University of Nebraska-Lincoln
0 of 1 people found the following review helpful.
Good Range of Examples But Awkwardly Written
By TREX
The author writes in his preface that this book is not an introductory text to math modelling; readers seeking this are referred to books by people like Tayler.
Nonetheless, he presents in the opening chapters some of the basic tools of modelling and analysis. But he does so in such dense and awkward prose that he had me often unsure as to whether he means one thing or another.
There is a good range of math modelling applications in this book.
Geophysics, chemistry, biochemistry, hydrology, metallurgy (solidification), botany, fluid dynamics, mechanics of materials.
Well worth a long look.
But I really would love to give a kick in the ass to the publisher's editor.
As far as I can see, all he/she did was to correct typos and collect salary.
Nothing that would make the text (the whole subject really, since it is the manifold applications of math modelling that arouse many people's interest in this area) accessible was forced on the author.
Are text publishers really so afraid of losing big name academic authors that they let them edit themselves ? It certainly looks like that here.
Publishing textbooks should be about shedding light on a subject. Yet this one offers only frustrating glimpses of an alluring subject through a tightly woven straw hat.
And the funny thing is the subject is not that complicated at all - at least not when presented in normal narrative.
Let's hope the slow sales of this potentially very popular book will encourage a more active editorship at Cambridge University Press.
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