| Title: | Methods of Mathematical Modelling |
| Other Titles: | Continuous Systems and Differential Equations |
| Authors: | Witelski, Thomas |
| Keywords: | Methods of Mathematical Modelling Mathematics |
| Issue Date: | 2015 |
| Publisher: | Springer |
| Abstract: | Mathematical models also allow for the exploration of conjectures and hypo- thetical situations that cannot normally be de-coupled or for parameter ranges that might not be easily accessible experimentally or computationally. Modelling lets us qualitatively and quantitatively dissect problems in order to evaluate the importance of their various parts, which can lead to the original motivating problem becoming a building block for the understanding of more complex systems. Good models provide the flexibility to be systematically developed allowing more accurate answers to be obtained by solving extensions of the model’s mathematical equa- tions |
| Description: | This book follows in the tradition set by the classic text by Lin and Segel [63] that first collected and systematically applied the foundational approaches in modelling. More recent books by Tayler [96], Fowler [37], Haberman [45], Logan [64], Holmes [49] and Howison [51] have made the art of modelling and the tools of applied mathematics more accessible. This book shares many elements in common with those books but seeks to highlight different connections between topics and to use elementary approaches to make modelling more applicable to students coming from a diverse range of fields seeking to incorporate mathematical modelling in their scientific studies. The authors thank the many colleagues and students who gave feedback on early versions of the materials in this book. Thomas Witelski also thanks the OCCAM and OCIAM centres in the Mathematical Institute of the University of Oxford for a visiting fellowship. |
| URI: | http://localhost:8080/xmlui/handle/123456789/202 |
| ISBN: | 978-3-319-23042-9 |
| Appears in Collections: | ARTS & SCIENCE |
| File | Description | Size | Format | |
|---|---|---|---|---|
| 2015_Book_MethodsOfMathematicalModelling.pdf | 3.92 MB | Adobe PDF | View/Open |
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