Mathematical model

A mathematical model is an abstract description of a concrete system using mathematical concepts and language. The process of developing a mathematical model is termed mathematical modeling. Mathematical models are used in applied mathematics and 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^[1] (such as economics, psychology, sociology, political science). It can also be taught as a subject in its own right.^[2]

The use of mathematical models to solve problems in business or military operations is a large part of the field of operations research. Mathematical models are also used in music,^[3] linguistics,^[4] 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.

^ Saltelli, Andrea; et al. (June 2020). "Five ways to ensure that models serve society: a manifesto". Nature. 582 (7813): 482–484. Bibcode:2020Natur.582..482S. doi:10.1038/d41586-020-01812-9. hdl:1885/219031. PMID 32581374.
^ Edwards, Dilwyn; Hamson, Mike (2007). Guide to Mathematical Modelling (2 ed.). New York: Industrial Press Inc. ISBN 978-0-8311-3337-5.
^ 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

[1] Saltelli, Andrea; et al. (June 2020). "Five ways to ensure that models serve society: a manifesto". Nature. 582 (7813): 482–484. Bibcode:2020Natur.582..482S. doi:10.1038/d41586-020-01812-9. hdl:1885/219031. PMID 32581374.

[Edwards-2] Edwards, Dilwyn; Hamson, Mike (2007). Guide to Mathematical Modelling (2 ed.). New York: Industrial Press Inc. ISBN 978-0-8311-3337-5.

[3] 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

[4] Andras Kornai, Mathematical Linguistics (Advanced Information and Knowledge Processing), Springer, ISBN 978-1849966948

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