Ebook: Mathematical Modelling: A case studies approach
- Tags: Modèles mathématiques, Modèles mathématiques - Problèmes et exercices, Wiskundige modellen, Mathematisches Modell
- Series: AMS Student mathematical library 27
- Year: 2005
- Publisher: American Mathematical Society
- City: Providence, RI
- Language: English
- djvu
The presentation is in the form of case studies, which are developed much as they would be in true applications. In many cases, an initial model is created, then modified along the way. Some cases are familiar, such as the evaluation of an annuity. Others are unique, such as the fascinating situation in which an engineer, armed only with a slide rule, had 24 hours to compute whether a valve would hold when a temporary rock plug was removed from a water tunnel.
Each chapter ends with a set of exercises and some suggestions for class projects. Some projects are extensive, as with the explorations of the predator-prey model; others are more modest.
The text was designed to be suitable for a one-term course for advanced undergraduates. The selection of topics and the style of exposition reflect this choice. The authors have also succeeded in demonstrating just how enjoyable the subject can be.
This is an ideal text for classes on modelling. It can also be used in seminars or as preparation for mathematical modelling competitions