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Author Watts, Robert G.
Title Essentials of applied mathematics for engineers and scientists / Robert G. Watts.
Imprint [San Rafael, Calif.] : Morgan & Claypool Publishers, [2012]
Edition Second edition.

Author Watts, Robert G.
Series Synthesis lectures on mathematics and statistics, 1938-1751 ; Lecture #12
Synthesis lectures on mathematics and statistics ; #12.
Subject Differential equations, Partial -- Numerical solutions.
Differential equations, Linear -- Numerical solutions.
Engineering mathematics.
Fourier analysis.
Laplace transformation.
Alternate Title Essentials of applied mathematics for scientists and engineers.
Description xi, 185 pages : illustrations ; 24 cm.
Edition Second edition.
Note First ed. ed. published in 2007 with title: Essentials of applied mathematics for scientists and engineers.
Bibliography Note Includes bibliographical references.
Summary 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.
Contents Chapter 1. Partial differential equations in engineering -- ch. 2. The Fourier method: separation of variables -- ch. 3. Orthogonal sets of functions -- ch. 4. Series solutions of ordinary differential equations -- ch. 5. Solutions using Fourier series and integrals -- ch. 6. Integral transforms: the Laplace transform -- ch. 7. Complex variables and the Laplace inversion integral -- ch. 8. Solutions with Laplace transforms -- ch. 9. Sturm-Liouville transforms -- ch. 10. Introduction to perturbation methods -- ch. 11. Singular perturbation theory of differential equations -- Appendix A. The roots of certain transcendental equations -- Appendix B. -- Author's biography.
ISBN 9781608457809 (paperback)
160845780X (paperback)
9781608457816 (electronic bk.)
1608457818 (electronic bk.)
OCLC # 819764211

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