Numerical Methods for Scientists and Engineers

Couverture
Courier Corporation, 25 avr. 2012 - 752 pages

Numerical analysis is a subject of extreme interest to mathematicians and computer scientists, who will welcome this first inexpensive paperback edition of a groundbreaking classic text on the subject. In an introductory chapter on numerical methods and their relevance to computing, well-known mathematician Richard Hamming ("the Hamming code," "the Hamming distance," and "Hamming window," etc.), suggests that the purpose of computing is insight, not merely numbers. In that connection he outlines five main ideas that aim at producing meaningful numbers that will be read and used, but will also lead to greater understanding of how the choice of a particular formula or algorithm influences not only the computing but our understanding of the results obtained.
The five main ideas involve (1) insuring that in computing there is an intimate connection between the source of the problem and the usability of the answers (2) avoiding isolated formulas and algorithms in favor of a systematic study of alternate ways of doing the problem (3) avoidance of roundoff (4) overcoming the problem of truncation error (5) insuring the stability of a feedback system.
In this second edition, Professor Hamming (Naval Postgraduate School, Monterey, California) extensively rearranged, rewrote and enlarged the material. Moreover, this book is unique in its emphasis on the frequency approach and its use in the solution of problems. Contents include:
I. Fundamentals and Algorithms
II. Polynomial Approximation- Classical Theory
Ill. Fourier Approximation- Modern Theory
IV. Exponential Approximation ... and more
Highly regarded by experts in the field, this is a book with unlimited applications for undergraduate and graduate students of mathematics, science and engineering. Professionals and researchers will find it a valuable reference they will turn to again and again.

 

Pages sélectionnées

Autres éditions - Tout afficher

Numerical Methods for Scientists and Engineers
Richard W. Hamming,Richard Wesley Hamming
Aperçu limité - 1986
Numerical Methods for Scientists and Engineers
Richard Wesley Hamming
Affichage d'extraits - 1973

Expressions et termes fréquents

algorithm aliasing apply approach approximation bisection method calculus Chap Chebyshev polynomials coefficients coefiicients column complex computing consider convergence corresponding curve defining equations definition derivative difference table differential equations digits eliminate equally spaced error curve error term estimate evaluate examine example expansion exponential factor fast Fourier transform field filter final find finite first fit fixed Fourier series Fourier transform frequency function f function values Gaussian quadrature give given hence infinite integrand interpolating polynomial interval Laplace transform least-squares linear independence machine mathematical matrix mean value theorem multiply Newton’s method noise notation number system occur operator orthogonal polynomials parameters periodic functions polynomial of degree predictor Prob quadratic random numbers rational function result roundoff sample points Simpson’s formula singularity smoothing solution solve specific squares step subtract suppose symmetric Taylor series theorem theory tion truncation error usually variable vector

À propos de l'auteur (2012)

Richard W. Hamming: The Computer Icon
Richard W. Hamming (1915–1998) was first a programmer of one of the earliest digital computers while assigned to the Manhattan Project in 1945, then for many years he worked at Bell Labs, and later at the Naval Postgraduate School in Monterey, California. He was a witty and iconoclastic mathematician and computer scientist whose work and influence still reverberates through the areas he was interested in and passionate about. Three of his long-lived books have been reprinted by Dover: Numerical Methods for Scientists and Engineers, 1987; Digital Filters, 1997; and Methods of Mathematics Applied to Calculus, Probability and Statistics, 2004.

In the Author's Own Words:

"The purpose of computing is insight, not numbers."

"There are wavelengths that people cannot see, there are sounds that people cannot hear, and maybe computers have thoughts that people cannot think."

"Whereas Newton could say, 'If I have seen a little farther than others, it is because I have stood on the shoulders of giants, I am forced to say, 'Today we stand on each other's feet.' Perhaps the central problem we face in all of computer science is how we are to get to the situation where we build on top of the work of others rather than redoing so much of it in a trivially different way."

"If you don't work on important problems, it's not likely that you'll do important work." — Richard W. Hamming

Informations bibliographiques

TitreNumerical Methods for Scientists and Engineers
Dover Books on Mathematics
AuteurRichard Hamming
Éditionréimprimée
ÉditeurCourier Corporation, 2012
ISBN0486134822, 9780486134826
Longueur752 pages
  
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