Essentials of Applied Mathematics for Scientists and Engineers

by Watts, Robert G.

• ISBN13: 9781598291865
• ISBN10: 1598291866
• Format: Paperback
• Copyright: 2007-04-07
• Publisher: Morgan & Claypool

Summary

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.

Author Biography

Robert G. Watts is the Cornelia and Arthur L. Jung Professor of Mechanical Engineering at Tulane University.

Table of Contents

Partial differential equations in engineering	p. 1
The Fourier method : separation of variables	p. 11
Orthogonal sets of functions	p. 31
Series solutions of ordinary differential equations	p. 45
Solutions using Fourier series and integrals	p. 75
Integral transforms : the Laplace transform	p. 95
Complex variables and the Laplace inversion integral	p. 111
Solutions with Laplace transforms	p. 121
Sturm-Liouville transforms	p. 141
Introduction to perturbation methods	p. 153
The roots of certain transcendental equations	p. 159
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