Practical Applied Mathematics: Modelling, Analysis, Approximation

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E-Book Overview

Drawing from an exhaustive variety of mathematical subjects, including real and complex analysis, fluid mechanics and asymptotics, this book demonstrates how mathematics can be intelligently applied within the specific context to a wide range of industrial uses. The volume is directed to undergraduate and graduate students.

E-Book Content

Cambridge Texts in Applied Mathematics All the titles listed below can be obtained from good booksellers or from Cambridge University Press. For a complete series listing visit http://publishing.cambridge.org/stm/mathematics/ctam Viscous Flow H. Ockendon and J.R. Ockendon A First Course in the Numerical Analysis of Differential Equations Arieh Iserles Mathematical Models in the Applied Sciences A.C. Fowler Thinking About Ordinary Differential Equations Robert E. O'Malley A Modern Introduction to the Mathematical Theory of Water Waves R.S. Johnson Rarefied Gas Dynamics Carlo Cercignani Symmetry Methods for Differential Equations Peter E. Hydon High Speed Flow C.J. Chapman Wave Motion J. Billingham and A.C. King An Introduction to Magnetohydrodynamics P.A. Davidson Linear Elastic Waves John G. Harris Vorticity and Incompressible Flow A.J. Majda and A.L. Bertozzi Infinite-dimensional Dynamical Systems J.C. Robinson Introduction to Symmetry Analysis Brian J. Cantwell B¨acklund and Darboux Transformations C. Rogers and W.K. Schief Finite Volume Methods for Hyperbolic Problems R.J. Leveque Introduction to Hydrodynamic Stability P.G. Drazin Theory of Vortex Sound M.S. Howe Scaling G.I. Barenblatt Complex Variables: Introduction and Applications (Second edition) Mark J. Ablowitz and Athanassios S. Fokas A First Course in Combinatorial Optimization Jon Lee Practical Applied Mathematics Modelling, Analysis, Approximation SAM HOWISON Mathematical Institute, Oxford University Director of The Oxford Centre for Industrial and Applied Mat