Modelling Nature : An introduction to mathematical modelling of natural systems

This textbook introduces the basic concepts of mathematical modelling when applied to natural systems. It focuses on tackling real-world problems from a variety of fields including physics, ecology, geology and epidemiology.

The use of mathematical models is a fundamental aspect of modern science. With computers now allowing previously difficult calculations to be done quickly and easily, an understanding of mathematics and an appreciation for modelling is possible even in fields with traditionally less mathematical content. Modelling Nature introduces basic concepts in mathematical modelling applied to natural systems to tackle real-world problems from fields such as physics, ecology, geology and epidemiology. It shows how using models can help to unravel complex issues such as the melting of the Arctic ice, the spread of infectious disease and the age of the Earth. The text helps students to build steadily upon a basic level of mathematics, to a more advanced understanding of mathematical concepts, for a thorough understanding of a variety of mathematical techniques. Key features include: Worked through calculations, with clear steps that can be followed with just a calculator, pen and paper or popular software packages. Intuitive introduction of advanced mathematical techniques in the context of model building, for an understanding of real-life application. An emphasis on an overall philosophy of building models, drawing repeatedly from the key elements of data, physical processes and mathematical methods to develop and refine models.