000			a
999			_c31000 _d31000
008			220528b xxu||||| |||| 00| 0 eng d
020			_a9780367474300
082			_a511.8 _bSER
100			_aSerovajsky, Simon
245			_aMathematical modelling
260			_bCRC Press, _c2022 _aBoca Raton :
300			_axxiv, 441 p. ; _bill., _c26 cm
365			_b89.99 _cGBP _d102.80
504			_aIncludes bibliographical references and index.
520			_aMathematical 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.
650			_aMathematical models
650			_aApplied Mathematics
650			_aAllied relations model
650			_aBody falling model
650			_aChafee-Infante problem
650			_aCobb-Douglas function
650			_aEcological niche model
650			_aExtremum theory
650			_a Glider flight model
650			_aHamilton's principle
650			_aMetropolis-Colony model
650			_aNelder-Mead method
650			_aOne-phase stefan problem
650			_aPeriodic function
650			_aRange-Kutta method
650			_aSIR epidemic model
650			_aSturn-Liouville problem
650			_aTime-optimal-control problem
650			_aThree sigma rule
650			_aUtility function
942			_2ddc _cBK