Series 
Synthesis lectures on mathematics and statistics, 19381751 ; 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 SturmLiouville 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. SturmLiouville 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 
