Format:
XIII, 444 S.
,
graph. Darst.
ISBN:
0471547182
Series Statement:
A Wiley Interscience publication
Content:
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
Content:
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:
Content:
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
Former:
Frühere Ausg. u.d.T. Thompson, William J. Computing in applied science
Language:
English
Subjects:
Computer Science
Keywords:
Ingenieurwissenschaften
;
Mathematik
;
Datenverarbeitung
;
Mathematik
;
Datenverarbeitung
;
Naturwissenschaften
;
Datenverarbeitung
;
Angewandte Mathematik
