Mathematical Modelling sets out the general principles of
mathematical modelling as a means comprehending the world. Within
the book, the problems of physics, engineering, chemistry, biology,
medicine, economics, ecology, sociology, psychology, political
science, etc. are all considered through this uniform lens. The
author describes different classes of models, including lumped and
distributed parameter systems, deterministic and stochastic models,
continuous and discrete models, static and dynamical systems, and
more. From a mathematical point of view, the considered models can
be understood as equations and systems of equations of different
nature and variational principles. In addition to this,
mathematical features of mathematical models, applied control and
optimization problems based on mathematical models, and
identification of mathematical models are also presented. Features
Each chapter includes four levels: a lecture (main chapter
material), an appendix (additional information), notes
(explanations, technical calculations, literature review) and tasks
for independent work; this is suitable for undergraduates and
graduate students and does not require the reader to take any
prerequisite course, but may be useful for researchers as well
Described mathematical models are grouped both by areas of
application and by the types of obtained mathematical problems,
which contributes to both the breadth of coverage of the material
and the depth of its understanding Can be used as the main textbook
on a mathematical modelling course, and is also recommended for
special courses on mathematical models for physics, chemistry,
biology, economics, etc.
General
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