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portada Methods of Mathematical Modelling: Continuous Systems and Differential Equations (Springer Undergraduate Mathematics Series)
Type
Physical Book
Publisher
Year
2015
Language
English
Pages
324
Format
Paperback
ISBN13
9783319230412

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

Thomas Witelski (Author) · Springer · Paperback

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

Physical Book

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

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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