| Document Type
|
:
|
BL
|
| Record Number
|
:
|
629985
|
| Doc. No
|
:
|
dltt
|
| Main Entry
|
:
|
Thompson, William J., (William Jackson),1939-
|
| Title & Author
|
:
|
Computing for scientists and engineers : : a workbook of analysis, numerics, and applications /\ William J. Thompson.
|
| Publication Statement
|
:
|
New York :: Wiley,, c1992.
|
| Page. NO
|
:
|
xiii, 444 p. :: ill. ;; 24 cm.
|
| ISBN
|
:
|
0471547182 (cloth)
|
|
|
:
|
: 9780471547181 (cloth)
|
| Notes
|
:
|
Rev. ed. of: Computing in applied science. c1984.
|
|
|
:
|
"A Wiley-Interscience publication."
|
| Bibliographies/Indexes
|
:
|
Includes bibliographical references and indexes.
|
| Contents
|
:
|
1. Introduction to Applicable Mathematics and Computing -- 2. A Review of Complex Variables -- 3. Power Series and Their Applications -- 4. Numerical Derivatives and Integrals -- 5. Fitting Curves through Data -- 6. Least-Squares Analysis of Data -- 7. Introduction to Differential Equations -- 8. Second-Order Differential Equations -- 9. Discrete Fourier Transforms and Fourier Series -- 10. Fourier Integral Transforms -- Appendix: Translating Between C, Fortran, and Pascal Languages.
|
| Abstract
|
:
|
Modern computing in science and engineering draws upon a broad range of subjects, including scientific and mathematical analysis, numerical algorithms, and programming. To fully meet complex computing needs, scientists and engineers must be aware of how these subjects are developed and, most importantly, how they can be used together to best advantage. Computing for Scientists and Engineers offers an integrated and fully developed treatment of basic concepts and methods in mathematical analysis, numerical methods, and programming as they apply to a broad range of topics pertaining specifically to the computing needs of scientists and engineers.
|
|
|
:
|
Following a unique workbook format, this book utilizes extensive worked examples - illustrated by numerous figures and supplemented by 27 computer programs in C as well as nearly 300 exercises - to emphasize basic analytical and numerical methods used in applying mathematics to the physical sciences and engineering. The examples and exercises promote an understanding of the basis of many recipes in numerical methods and data analysis. His discussion provides a balanced treatment of background mathematics, numerical analysis methods (differentiation, integration, and the solution of differential equations in engineering and the life and physical sciences), and data analysis applications (splines, least-squares fitting and Fourier expansions) and explores many important topics, such as.
|
|
|
:
|
Modern and Data Analysis Methods - spline fitting; weighted least-squares fitting; Noumerov's algorithm and stiff differential equations; discrete and integral Fourier transforms and Fourier series; and convolutions. Skill Development - numerical noise in computing; numerical derivatives and integrals; Taylor expansions and binomial approximations; numerical solutions of differential equations; generalized catenaries. Novel Topics - integration using splines; linearized square-root approximations; least-squares normalization; bias in log transforms; generalized logistic growth; exploring the Gobbs phenomenon; analytical and numerical discrete Fourier transforms. Twelve Computing Projects and Twenty-seven Programs in C - power series; numerical derivatives and integrals; cubic splines; straight-line least squares; kinematics of world-record sprints; FFT analysis of an EEG; computing the Voigt profile by convolution.
|
|
|
:
|
The C programs are readily translated into Fortran or Pascal following rules given in the appendix. Progressing from complex variables and power series to differential equations and discrete and integral Fourier transforms, each of the ten self-contained chapters features clearly identified background materials, extensive up-to-date references, and special "Diversion" sections on topics of interest in related fields. Materials are arranged so that the back can be used as a classroom text as well as for individual learning. Computing for Scientists and Engineers is an essential guidebook for students and professionals in the physical and applied sciences and in engineering, as well as in computing areas such as imaging and digital signal processing.
|
| Subject
|
:
|
Numerical analysis-- Data processing.
|
| Subject
|
:
|
Science-- Data processing.
|
| Subject
|
:
|
Engineering-- Data processing.
|
| LC Classification
|
:
|
QA297.T5 1992
|
| Added Entry
|
:
|
Thompson, William J., (William Jackson),1939-
|