| Titre : |
A concrete approach to mathematical modelling |
| Type de document : |
texte imprimé |
| Auteurs : |
Mesterton-Gibbons, Mike, Auteur |
| Editeur : |
New York : John Wiley & Sons |
| Année de publication : |
2007 |
| Collection : |
Wiley-interscience paperback series |
| Importance : |
XX, 597 p. |
| Présentation : |
ill. |
| Format : |
24 cm |
| ISBN/ISSN/EAN : |
978-0-470-17107-3 |
| Note générale : |
Bibliogr. p. 583-590. - Index |
| Langues : |
Anglais (eng) |
| Mots-clés : |
Mathematical models
Modèles mathématiques |
| Index. décimale : |
510.67 Théorie des Modèles |
| Résumé : |
WILEY-INTERSCIENCE PAPERBACK SERIES The Wiley-Interscience Paperback Series consists of selected books that have been made more accessible to consumers in an effort to increase global appeal and general circulation. With these new unabridged softcover volumes, Wiley hopes to extend the lives of these works by making them available to future generations of statisticians, mathematicians, and scientists. " ...[a] treasure house of material for students and teachers alike ...can be dipped into regularly for inspiration and ideas. It deserves to become a classic." -London Times Higher Education Supplement "The author succeeds in his goal of serving the needs of the undergraduate population who want to see mathematics in action, and the mathematics used is extensive and provoking." -SIAM Review "Each chapter discusses a wealth of examples ranging from old standards ...to novelty ...each model is developed critically, analyzed critically, and assessed critically." -Mathematical Reviews A Concrete Approach to Mathematical Modelling provides in-depth and systematic coverage of the art and science of mathematical modelling. Dr.
Mesterton-Gibbons shows how the modelling process works and includes fascinating examples from virtually every realm of human, machine, natural, and cosmic activity. Various models are found throughout the book, including how to determine how fast cars drive through a tunnel, how many workers industry should employ, the length of a supermarket checkout line, and more. With detailed explanations, exercises, and examples demonstrating real-life applications in diverse fields, this book is the ultimate guide for students and professionals in the social sciences, life sciences, engineering, statistics, economics, politics, business and management sciences, and every other discipline in which mathematical modelling plays a role. |
| Note de contenu : |
Summary :
1. Growth and decay. Dynamical systems
2. Equilibrium
3. Optimal control and utility
4. Validation: accept, improve, or reject
5. Birth and death. Probabilistic dynamics
6. Stationary distributions
7. Optimal decision and reward
8. Using a model: choice and estimation
9. Building a model: adapting, extending, and combining
10. Further dynamical systems
11. Further flow and diffusion
12. Further optimization
Appendix 1: A review of probability and statistics
Appendix 2: Models, sources, and further reading arranged by discipline
Solutions to selected exercises |
A concrete approach to mathematical modelling [texte imprimé] / Mesterton-Gibbons, Mike, Auteur . - New York : John Wiley & Sons, 2007 . - XX, 597 p. : ill. ; 24 cm. - ( Wiley-interscience paperback series) . ISBN : 978-0-470-17107-3 Bibliogr. p. 583-590. - Index Langues : Anglais ( eng)
| Mots-clés : |
Mathematical models
Modèles mathématiques |
| Index. décimale : |
510.67 Théorie des Modèles |
| Résumé : |
WILEY-INTERSCIENCE PAPERBACK SERIES The Wiley-Interscience Paperback Series consists of selected books that have been made more accessible to consumers in an effort to increase global appeal and general circulation. With these new unabridged softcover volumes, Wiley hopes to extend the lives of these works by making them available to future generations of statisticians, mathematicians, and scientists. " ...[a] treasure house of material for students and teachers alike ...can be dipped into regularly for inspiration and ideas. It deserves to become a classic." -London Times Higher Education Supplement "The author succeeds in his goal of serving the needs of the undergraduate population who want to see mathematics in action, and the mathematics used is extensive and provoking." -SIAM Review "Each chapter discusses a wealth of examples ranging from old standards ...to novelty ...each model is developed critically, analyzed critically, and assessed critically." -Mathematical Reviews A Concrete Approach to Mathematical Modelling provides in-depth and systematic coverage of the art and science of mathematical modelling. Dr.
Mesterton-Gibbons shows how the modelling process works and includes fascinating examples from virtually every realm of human, machine, natural, and cosmic activity. Various models are found throughout the book, including how to determine how fast cars drive through a tunnel, how many workers industry should employ, the length of a supermarket checkout line, and more. With detailed explanations, exercises, and examples demonstrating real-life applications in diverse fields, this book is the ultimate guide for students and professionals in the social sciences, life sciences, engineering, statistics, economics, politics, business and management sciences, and every other discipline in which mathematical modelling plays a role. |
| Note de contenu : |
Summary :
1. Growth and decay. Dynamical systems
2. Equilibrium
3. Optimal control and utility
4. Validation: accept, improve, or reject
5. Birth and death. Probabilistic dynamics
6. Stationary distributions
7. Optimal decision and reward
8. Using a model: choice and estimation
9. Building a model: adapting, extending, and combining
10. Further dynamical systems
11. Further flow and diffusion
12. Further optimization
Appendix 1: A review of probability and statistics
Appendix 2: Models, sources, and further reading arranged by discipline
Solutions to selected exercises |
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