Methods of Mathematical Modelling: Continuous Systems and Differential Equations (Springer Undergraduate Mathematics Series)

Continuous Systems and Differential Equations

Cover Art for 9783319230412, Methods of Mathematical Modelling: Continuous Systems and Differential Equations (Springer Undergraduate Mathematics Series) by Thomas Witelski, Mark Bowen
ISBN: 9783319230412
Publisher: Springer
Published: 13 December, 2015
Format: Paperback
Language: English

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.

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