This is a book about linear partial differential equations that are common in engineering and the physical sciences. It will be useful to graduate students and advanced undergraduates in all engineering fields as well as students of physics, chemistry, geophysics and other physical sciences and professional engineers who wish to learn about how advanced mathematics can be used in their professions. The reader will learn about applications to heat transfer, fluid flow, and mechanical vibrations. The book is written in such a way that solution methods and application to physical problems are emphasized. There are many examples presented in detail and fully explained in their relation to the real world. References to suggested further reading are included. The topics that are covered include classical separation of variables and orthogonal functions, Laplace transforms, complex variables, and Sturm-Liouville transforms.
Table of Content
Partial Differential Equations in Engineering.- The Fourier Method: Separation of Variables.- Orthogonal Sets of Functions.- Series Solutions of Ordinary Differential Equations.- Solutions Using Fourier Series and Integrals.- Integral Transforms: The Laplace Transform.- Complex Variables and the Laplace Inversion Integral.- Solutions with Laplace Transforms.- Sturm–Liouville Transforms.- Introduction to Perturbation Methods.
About the author
Robert G. Watts is the Cornelia and Arthur Jung Professor Emeritus of Mechanical Engineering at Tulane University. He received his bachelor of science degree in mechanical engineering from Tulane (1959), a master of science degree in nuclear engineering from the Massachusetts Institute of Technology (1960), and a doctor of philosophy degree in mechanical engineering from Purdue University (1965). He spent a year at Harvard University studying atmospheric and ocean science. He has worked at the Institute for Energy Analysis in Oak Ridge, TN, and at the International Institute for Applied Systems Analysis in Laxenburg, Austria. His research has concentrated on energy systems and climatology for more than 40 years. He has edited two books on energy and global warming, Innovative Energy Strategies for CO2 Stabilization (Cambridge University Press) and Engineering Response to Global Climate Change (Lewis Publishers), and is the author of Keep Your Eye on the Ball: The Science and Folklore of Baseball (Freeman Publishing Company) and Essentials of Applied Mathematics for Scientists and Engineers (Morgan and Claypool Publishers).
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