Softcover ISBN:  9780821836507 
Product Code:  STML/27 
List Price:  $59.00 
Individual Price:  $47.20 
eBook ISBN:  9781470412159 
Product Code:  STML/27.E 
List Price:  $49.00 
Individual Price:  $39.20 
Softcover ISBN:  9780821836507 
eBook: ISBN:  9781470412159 
Product Code:  STML/27.B 
List Price:  $108.00 $83.50 
Softcover ISBN:  9780821836507 
Product Code:  STML/27 
List Price:  $59.00 
Individual Price:  $47.20 
eBook ISBN:  9781470412159 
Product Code:  STML/27.E 
List Price:  $49.00 
Individual Price:  $39.20 
Softcover ISBN:  9780821836507 
eBook ISBN:  9781470412159 
Product Code:  STML/27.B 
List Price:  $108.00 $83.50 

Book DetailsStudent Mathematical LibraryVolume: 27; 2005; 196 ppMSC: Primary 00; Secondary 93
Mathematical modelling is a subject without boundaries. It is the means by which mathematics becomes useful to virtually any subject. Moreover, modelling has been and continues to be a driving force for the development of mathematics itself. This book explains the process of modelling real situations to obtain mathematical problems that can be analyzed, thus solving the original problem.
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 predatorprey model; others are more modest.
The text was designed to be suitable for a oneterm 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.
ReadershipAdvanced undergraduates, graduate students, and research mathematicians interested in mathematical modelling and applied mathematics.

Table of Contents

Chapters

Chapter 1. Crystallization dynamics

Chapter 2. Will the valve hold?

Chapter 3. How much will that annuity cost me?

Chapter 4. Dimensional analysis

Chapter 5. Predatorprey systems

Chapter 6. A control problem in fishery management

Chapter 7. Formal justice

Chapter 8. Traffic dynamics: A microscopic model

Chapter 9. Traffic dynamics: Macroscopic modelling


Additional Material

Reviews

IBMvR is a welcome addition to the collection of texts for modeling courses. It fits well [in] its intended audience, all of whom appreciate its small size and reasonable price. I would use it again as the text for my junior/seniorlevel course, and it should be on anyone's shortlist for such a course.
MAA Reviews 
The book is written in a nice manner, the exposition is very friendly and intriguing ... [a] delightful introductory text.
Zentralblatt MATH


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Mathematical modelling is a subject without boundaries. It is the means by which mathematics becomes useful to virtually any subject. Moreover, modelling has been and continues to be a driving force for the development of mathematics itself. This book explains the process of modelling real situations to obtain mathematical problems that can be analyzed, thus solving the original problem.
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 predatorprey model; others are more modest.
The text was designed to be suitable for a oneterm 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.
Advanced undergraduates, graduate students, and research mathematicians interested in mathematical modelling and applied mathematics.

Chapters

Chapter 1. Crystallization dynamics

Chapter 2. Will the valve hold?

Chapter 3. How much will that annuity cost me?

Chapter 4. Dimensional analysis

Chapter 5. Predatorprey systems

Chapter 6. A control problem in fishery management

Chapter 7. Formal justice

Chapter 8. Traffic dynamics: A microscopic model

Chapter 9. Traffic dynamics: Macroscopic modelling

IBMvR is a welcome addition to the collection of texts for modeling courses. It fits well [in] its intended audience, all of whom appreciate its small size and reasonable price. I would use it again as the text for my junior/seniorlevel course, and it should be on anyone's shortlist for such a course.
MAA Reviews 
The book is written in a nice manner, the exposition is very friendly and intriguing ... [a] delightful introductory text.
Zentralblatt MATH