Guide to Mathematical Modelling
CRC Press
1st Edition
Published on 26. October 1990
Book
Hardback
277 pages
978-0-8493-7700-6 (ISBN)
Description
Guide to Mathematical Modelling is a book designed for students and professionals interested in an introduction to mathematical modelling. It explains the concept of a mathematical model, examines why mathematical modelling is important, and presents several different modelling situations, ranging from simple to very complex. The book also discusses communication and the art of presenting and reporting on modelling activities.
More details
Language
English
Place of publication
Bosa Roca
United States
Publishing group
Taylor & Francis Inc
Target group
College/higher education
Professional and scholarly
Illustrations
illustrations
Weight
422 gr
ISBN-13
978-0-8493-7700-6 (9780849377006)
Copyright in bibliographic data is held by Nielsen Book Services Limited or its licensors: all rights reserved.
Schweitzer Classification
Persons
Content
WHAT IS MODELLING? Introduction. Models and Modelling. The Learning Process for Mathematics Modelling. Summary. GETTING STARTED. Introduction. Examples. Conclusion. Further Examples. Further Comments on the Examples in Section 2.2. MODELLING METHODOLOGY. Introduction. Definition and Terminology. Methodology and Modelling Flow Chart. The Methodology in Practice. Summary. UNITS and DIMENSIONS. Introduction. Units. Dimensions. Dimensional Analysis. Summary. MODELLING SKILLS. Introduction. Listing Factors. Making Assumptions. Types of Behaviour. Translating into Mathematics. Choosing Mathematical Functions. Relative Sizes of Terms. Reducing the Number of Parameters. Summary. USING DATA. Introduction. Data Collection. Empirical Models. Estimating Parameters. Errors and Accuracy. Testing Models. Summary. USING RANDOM NUMBERS. Introduction. Modelling Random Variables. Generating Random Numbers. Simulations. Using Simulation Models. Packages and Simulation Languages. Summary. USING DIFFERENTIAL EQUATIONS. Introduction. First Order, One Variable. Second Order, One Variable. Second Order, Two Variables (Uncoupled). Simultaneous Coupled Differential Equations. Summary. REPORT WRITING and PRESENTATIONS. Introduction. Report Writing. A Specimen Report. Presentation. EXAMPLE MODELS. Introduction. Doing the Dishes. Shopping Trips. Disk Pressing. Gutter. Turf. Parachute Jump, On the Buses. Further Battles. Snooker. Further Models. BIBLIOGRAPHY. SOLUTION to EXERCISES. INDEX.