Mathematical Modelling

A mathematical model is a description of a system using mathematical concepts and language. The process of developing a mathematical model is termed mathematical modeling. Mathematical models are used in the natural sciences (such as physics, biology, earth science, chemistry) and engineering disciplines (such as computer science, electrical engineering), as well as in non-physical systems such as the social sciences (such as economics, psychology, sociology, political science). Mathematical models are also used in music,^[1] linguistics^[2] and philosophy (for example, intensively in analytic philosophy).

A model may help to explain a system and to study the effects of different components, and to make predictions about behavior.

Learning Tasks

Explain how mathematical modelling can be used to extrapolate the development of system from current situation into the future. What are the challenges, the benefits and drawbacks of modelling?
Currently mankind and womankind is creating the digital copy of the earth and decision support is created for the digital earth and the real processes on earth are synchronized with monitoring methods with the digital earth and decision making in the digital sphere has an impact on the future of the real world. Explain how feedback loops can have an impact on the real world development.

↑ D. Tymoczko, A Geometry of Music: Harmony and Counterpoint in the Extended Common Practice (Oxford Studies in Music Theory), Oxford University Press; Illustrated Edition (March 21, 2011), ISBN 978-0195336672
↑ Andras Kornai, Mathematical Linguistics (Advanced Information and Knowledge Processing),Springer, ISBN 978-1849966948

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