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An introduction to mathematical modelling of natural systems
By: Edward Gillman, Michael Gillman
May 2019 | Paperback | 280 Pages | 9781786393135
May 2019 | Hardback | 280 Pages | 9781786393104
$75.00 | £45.00 | €60.00
$160.00 | £95.00 | €125.00
DescriptionThis short textbook introduces students to the concept of describing natural systems using mathematical models. We highlight the variety of ways in which natural systems lend themselves to mathematical description and the importance of models in revealing fundamental processes. The process of science via the building, testing and use of models (theories) is described and forms the structure of the book.
The book covers a broad range from the molecular to ecosystems and whole-Earth phenomena. Themes running through the chapters include scale (temporal and spatial), change (linear and nonlinear), emergent phenomena and uncertainty. Mathematical descriptions are kept to a minimum and we illustrate mechanisms and results in graphical form wherever possible. Essential mathematical details are described fully, with the use of boxes. The mathematics supports but does not lead the text.
Table of contents
- Chapter 1: Modelling the Changing Arctic Ice
- Chapter 2: Modelling Bacterial Population Growth
- Chapter 3: Modelling the Growth of Human Populations
- Chapter 4: Modelling Radioactive Decay to Determine the Age of the Earth
- Chapter 5: Modelling the Distribution of Butterfly Species
- Chapter 6: Volcanic Gas, Environmental Damage and Statistical Models
ReadershipUndergraduate students of the natural sciences taking courses in, for example: mathematical modelling, ecological modelling, mathematics for biologists, mathematics for environmental sciences, computational biology, modelling natural systems, mathematical methods
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