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" Methods of mathematical modelling : "
Thomas Witelski, Mark Bowen.
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BL
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| Record Number
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809904
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GBB8J9757b623920
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| Main Entry
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Witelski, Thomas
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| Title & Author
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Methods of mathematical modelling : : continuous systems and differential equations /\ Thomas Witelski, Mark Bowen.
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| Series Statement
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Springer undergraduate mathematics series,
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| Page. NO
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1 online resource (xviii, 305 pages) :: illustrations (some color)
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| ISBN
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9783319230429
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: 3319230425
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: 3319230417
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: 9783319230412
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9783319230412
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| Bibliographies/Indexes
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Includes bibliographical references and index.
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| Contents
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Rate equations -- Transport equations -- Variational principles -- Dimensional scaling analysis -- Self-similar scaling solutions of differential equations -- Perturbation methods -- Boundary layer theory -- Long-wave asymptotics for PDE problems -- Weakly-nonlinear oscillators -- Fast/slow dynamical systems -- Reduced models for PDE problems -- Modelling in applied fluid dynamics.
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| Abstract
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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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| Subject
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Mathematical models.
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Differential calculus equations.
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Mathematical modelling.
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Calculus of variations.
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Mathematics-- Differential Equations.
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Mathematics-- Applied.
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Mathematics-- Calculus.
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Mathematical models.
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| Dewey Classification
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511/.8
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| LC Classification
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QA401
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| Added Entry
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Bowen, Mark
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