http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
Mathematical Methods and Green Functions
1 online resource (xii, 741 pages 174 illustrations)
This book develops a unified mathematical framework for treating a wide variety of diffusion-related periodic phenomena in such areas as heat transfer, electrical conduction, and light scattering. Deriving and using Green functions in one and higher dimensions to provide a unified approach, the author develops the properties of diffusion-wave fields first for the well-studied case of thermal-wave fields and then applies the methods to nonthermal fields. The presentation, largely in the form of case studies directly applicable in a wide range of experimental methodologies, is intended for graduate students, professional scientists and engineers working in fields that involve diffusion waves, including thermal-wave, photothermal and photoacoustic spectroscopies, non-destructive evaluation, semiconductor and electronic device carrier plasma-wave characterization, and biomedical laser tissue diffuse photon density-wave diagnostics. The treatment requires no more mathematical background than a course in advanced calculus and mathematical analysis. Problems at the ends of each chapter complement the main text and some serve to extend the material to current research.
Green Functions of One-Dimensional Thermal-Wave Fields -- Thermal Wave Fields in One Dimension -- Green Functions in Three- and Two-Dimensional Cartesian Thermal-Wave Fields -- Cartesian Thermal-Wave Fields in Three and Two Dimensions -- Green Functions of Thermal-Wave Fields in Cylindrical Coordinates -- Thermal-Wave Fields in Cylindrical Coordinates -- Green Functions of Thermal-Wave Fields in Spherical Coordinates -- Thermal-Wave Fields in Spherical Coorindates -- Carrier-Density-Wave Fields in Electronic Solids/Semiconductors -- Diffuse Photon Density Wave Fields in Turbid Media and Tissue.