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Wiley India Pvt Ltd Introductory Applications Of Partial Differential Equations With Emphasis On Wave Propagation And Diffusion by Lamb George L.
About the Book: Introductory Applications of Partial Differential Equations: With Emphasis on Wave Propagation and DiffusionUnlike most other texts on this topic, it interweaves prior knowledge of mathematics and physics, especially heat conduction and wave motion, into a presentation that demonstrates their interdependence. The result is a superb teaching text that reinforces the readers understanding of both mathematics and physics. Rather than presenting the mathematics in isolation and out of context, problems in this text are framed to show how partial differential equations can be used to obtain specific information about the physical system being analyzed.ContentsOne-Dimensional Problems-Separation of VariablesLaplace Transform MethodTwo and Three DimensionsGreens FunctionsSpherical GeometryFourier Transform MethodsPerturbation MethodsGeneralizations and First Order EquationsSelected TopicsAppendicesReferencesIndexAbout the Author: George L LambG L Lamb, Jr., is Professor of Mathematics and Optical Sciences at the University of Arizona.