Methods of Mathematical Modelling

Name: Methods of Mathematical Modelling
SKU: 23156699
Price: 114.00 NZD
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Continuous Systems and Differential Equations

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Paperback / softback

Series:

Springer Undergraduate Mathematics Series

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Description

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.

Author Biography:

Thomas Witelski is a Professor of Mathematics at Duke University specializing in nonlinear partial differential equations and fluid dynamics. He is a long-time participant in many study groups on mathematical modelling and industrial problems. He is the co-Editor-in-Chief of the Journal of Engineering Mathematics and also serves on the editorial board for the European Journal of Applied Mathematics. Witelski received his Ph.D. in Applied Mathematics from the California Institute of Technology in 1995 and was a postdoctoral fellow at the Massachusetts Institute of Technology. Mark Bowen is an Associate Professor in the International Center for Science and Engineering Programs at Waseda University, where he teaches courses in differential equations and nonlinear dynamics. His expertise is in asymptotic analysis, nonlinear differential equations and fluid dynamics. He received his Ph.D. in Applied Mathematics in 1998 from the University of Nottingham.

Release date NZ

September 28th, 2015

Author

Audience

Professional & Vocational

Edition

1st ed. 2015

Illustrations

45 Illustrations, color; 5 Illustrations, black and white; XVIII, 305 p. 50 illus., 45 illus. in color.

Pages

305

Series

Springer Undergraduate Mathematics Series

Dimensions

155x235x17

ISBN-13

9783319230412

Product ID

23156699

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