Mathematical Modelling with Case Studies
Mathematical Modelling with Case Studies
Résumé
Focusing on growth and decay processes, interacting populations, and heating/cooling problems, this book presents mathematical techniques applicable to models involving differential equations that describe rates of change. It uses flow diagrams and word equations to aid in the model building process and to develop the mathematical equations.
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Mathematical Modelling with Case Studies by B Barnes
Focusing on growth and decay processes, interacting populations, and heating/cooling problems, Mathematical Modelling with Case Studies: A Differential Equations Approach using Maple™ and MATLAB®, Second Edition presents mathematical techniques applicable to models involving differential equations that describe rates of change. Although the authors concentrate on models involving differential equations, the ideas used can be applied to many other areas. The book carefully details the process of constructing a model, including the conversion of a seemingly complex problem into a much simpler one. It uses flow diagrams and word equations to aid in the model building process and to develop the mathematical equations. Employing theoretical, graphical, and computational tools, the authors analyze the behavior of the models under changing conditions. They discuss the validation of the models and suggest extensions to the models with an emphasis on recognizing the strengths and limitations of each model. Through applications and the tools of Maple™ and MATLAB®, this textbook provides hands-on model building skills. It develops, extends, and improves simple models as well as interprets the results."The book is written in a very lucid manner, with numerous case studies and examples thoroughly discussedThe material is very well organized, generously illustrated, and delightfully presented. All chapters, except the first one, conclude with scores of nicely designed exercises that can be used for independent study. The book contains enough material to organize a new well-structured one-semester course or to complement the existing one with additional examples and problems and is highly recommended for either purpose"
—Zentralblatt MATH, 1168
"… The book can be useful for students of mathematical modeling. They will find many skills for modeling and solving real problems. Useful sheets for Maple and MATLAB are included for numerical solution. The most important feature of the book is that it contains many real-life examples. … The main examples are solved in detail and the others are left for the reader. This is the best treasury of real case problems seen in a single book."
—EMS Newsletter, September 2009
| SKU | Non disponible |
| ISBN 13 | 9781420083484 |
| ISBN 10 | 1420083481 |
| Titre | Mathematical Modelling with Case Studies |
| Auteur | B Barnes |
| Série | Textbooks In Mathematics |
| État | Non disponible |
| Éditeur | Taylor & Francis Ltd |
| Année de publication | 2008-12-23 |
| Nombre de pages | 368 |
| Note de couverture | La photo du livre est présentée à titre d'illustration uniquement. La reliure, la couverture ou l'édition réelle peuvent varier. |
| Note | Non disponible |