Mathematical modelling: a case studies approach
"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…
Read More ↓Title Statements
- Full title :Mathematical modelling : a case studies approach / Reinhard Illner [and others].
Summary
"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." "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."--Jacket.
Read More ↓Edition Statements
- Publication Date:©2005.
Publication Statements
- Publisher(s):American mathematical Society
- Place of Publication:Providence, RI
- Language:eng
- Publication Date:©2005.
The Physical Object
- Description:xvi, 196 pages : : illustrations ; : 22 cm.
Edition Identifiers
- ISBN:0821836501, 9780821836507
- oclc:ocm56753115
- LC Classification:QA401
- Dewey Decimal:511/.8
Table of Contents
Crystallization dynamics -- Will the valve hold? -- How much will that annuity cost me? -- Dimensional analysis -- Predator-prey systems -- A control problem in fishery management -- Formal justice -- Traffic dynamics: a microscopic model -- Traffic dynamics: macroscopic modelling.
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