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Methods of Mathematical Modelling - Continuous Systems and Differential Equations (Paperback, 1st ed. 2015)
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Methods of Mathematical Modelling - Continuous Systems and Differential Equations (Paperback, 1st ed. 2015)
Series: Springer Undergraduate Mathematics Series
Expected to ship within 10 - 15 working days
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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.
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