Numerical Methods for Scientists and Engineers.

Format:

Book

Author/Creator:

Hamming, Richard.

Series:

Dover Books on Mathematics

Language:

English

Subjects (All):

Engineering mathematics.

Numerical analysis.

Numerical analysis--Data processing.

Local Subjects:

Engineering mathematics.

Numerical analysis.

Physical Description:

1 online resource (1209 p.)

Edition:

1st ed.

Place of Publication:

Newburyport : Dover Publications, 2012.

Language Note:

English

Summary:

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 wil

Contents:

Cover; Title Page; Copyright Page; Dedication; Contents; Preface; I Fundamentals and Algorithms; 1 An Essay on Numerical Methods; 2 Numbers; 3 Function Evaluation; 4 Real Zeros; 5 Complex Zeros; 6 Zeros of Polynomials; 7 Linear Equations and Matrix Inversion; 8 Random Numbers; 9 The Difference Calculus; 10 Roundoff; 11 The Summation Calculus; 12 Infinite Series; 13 Difference Equations; II Polynomial Approximation-Classical Theory; 14 Polynomial Interpolation; 15 Formulas Using Function Values; 16 Error Terms; 17 Formulas Using Derivatives; 18 Formulas Using Differences

19 Formulas Using the Sample Points as Parameters20 Composite Formulas; 21 Indefinite Integrals-Feedback; 22 Introduction to Differential Equations; 23 A General Theory of Predictor-Corrector Methods; 24 Special Methods of Integrating Ordinary Differential Equations; 25 Least Squares: Theory; 26 Orthogonal Functions; 27 Least Squares: Practice; 28 Chebyshev Approximation: Theory; 29 Chebyshev Approximation: Practice; 30 Rational Function Approximation; III Fourier Approximation-Modern Theory; 31 Fourier Series: Periodic Functions; 32 Convergence of Fourier Series

33 The Fast Fourier Transform34 The Fourier Integral: Nonperiodic Functions; 35 A Second Look at Polynomial Approximation-Filters; 36 Integrals and Differential Equations; 37 Design of Digital Filters; 38 Quantization of Signals; IV Exponential Approximation; 39 Sums of Exponentials; 40 The Laplace Transform; 41 Simulation and the Method of Zeros and Poles; V Miscellaneous; 42 Approximations to Singularities; 43 Optimization; 44 Linear Independence; 45 Eigenvalues and Eigenvectors of Hermitian Matrices; N + 1 The Art of Computing for Scientists and Engineers; Bibliography; Index

Notes:

Description based upon print version of record.

Description based on publisher supplied metadata and other sources.

ISBN:

9780486134826

0486134822

9781621986348

1621986349

OCLC:

869523845