Methods of Mathematical Modelling

Continuous Systems and Differential Equations

By: Thomas Witelski, Mark Bowen

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Paperback | 28 September 2015

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324 Pages

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23.39 x 15.6 x 1.73

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This book presents mathematical modelling and the integrated process of formulating sets of equations to describe real-world problems. It describes methods for obtaining solutions of challenging differential equations stemming from problems in areas such as chemical reactions, population dynamics, mechanical systems, and fluid mechanics.

Chapters 1 to 4 cover essential topics in ordinary differential equations, transport equations and the calculus of variations that are important for formulating models. Chapters 5 to 11 then develop more advanced techniques including similarity solutions, matched asymptotic expansions, multiple scale analysis, long-wave models, and fast/slow dynamical systems.

Methods of Mathematical Modelling will be useful for advanced undergraduate or beginning graduate students in applied mathematics, engineering and other applied sciences.

Industry Reviews

"The text is well written. The authors have provided a clear and concise presentation of many important topics in a way that should be accessible to students following a first course in differential equations. ... More advanced students could easily learn a significant amount of useful mathematics reading the text independently. ... Methods of Mathematical Modelling is a welcome addition to the SUMS series and should prove to be useful for many instructors and students." (Jason M. Graham, MAA Reviews, maa.org, February, 2016)

"The purpose of this text is to introduce the reader to the art of mathematical modeling ... . The book provides an account of a number of useful for mathematical modelling techniques which are illustrated with examples and complemented with problems for self study." (Yuriy V. Rogovchenko, zbMATH 1333.00025, 2016)

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