Essentials of Applied Mathematics for Engineers and Scientists, Second Edition

Essentials of Applied Mathematics for Engineers and Scientists, Second Edition

Robert Watts
ISBN: 9781608457809 | PDF ISBN: 9781608457816
Copyright © 2012 | 189 Pages | Publication Date: 01/01/2012

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The Second Edition of this popular book on practical mathematics for engineers includes new and expanded chapters on perturbation methods and theory. 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. This second edition includes two new and revised chapters on perturbation methods, and singular perturbation theory of differential equations.

Table of Contents

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
Singular Perturbation Theory of Differential Equations
Appendix A: The Roots of Certain Transcendental Equations

About the Author(s)

Robert Watts, Tulane University and United States Naval Academy
Dr. Robert G. Watts is the Cornelia and Arthur L. Jung Professor of Mechanical Engineering at Tulane University. He holds a BS (1959) in mechanical engineering from Tulane, an MS (1960) in nuclear engineering from the Massachusetts Institute of Technology and a PhD (1965) from Purdue University in mechanical engineering. He spent a year as a Postdoctoral associate studying atmospheric and ocean science at Harvard University. He has taught advanced applied mathematics and thermal science at Tulane for most of his 43 years of service to that university. Dr. Watts is the author of Keep Your Eye on the Ball: The Science and Folklore of Baseball (W. H. Freeman) and the editor of Engineering Response to Global Climate Change (CRC Press) and Innovative Energy Strategies for CO2 Stabilization (Cambridge University Press) as well as many papers on global warming, paleoclimatology energy and the physic of sport. He is a Fellow of the American Society of Mechanical Engineers.

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Engineering

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