Title Numerical methods for scientists and engineers / R.W. Hamming

Edition 2nd ed Published New York : Dover, 1986, ©1973

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Description 1 online resource (ix, 721 pages) : illustrations Contents Fundamentals and algorithms : An essay on numerical methods -- Numbers -- Function evaluation -- Real zeros -- Complex zeros -- Zeros of polynomials -- Linear equations and matrix inversion -- Random numbers -- The difference calculus -- Roundoff -- The summation calculus -- Infinite series -- Difference equations -- Polynomial approximation-classical theory : Polynomial interpolation -- Formulas using function values -- Error terms -- Formulas using derivatives -- Formulas using differences -- Formulas using the sample points as parameters -- Composite formulas -- Indefinite integrals-feedback -- Introduction to differential equations -- A general theory of predictor-corrector methods -- Special methods of integrating ordinary differential equations -- Least squares: theory -- Orthogonal functions -- Least squares: practice -- Chebyshev approximation: theory -- Chebyshev approximation: practice -- Rational function approximation -- Fourier approximation-modern theory : Fourier series: periodic functions -- Convergence of Fourier series -- The fast Fourier transform -- The Fourier integral: nonperiodic functions -- A second look at polynomial approximation-filters -- Integrals and differential equations -- Design of digital filters -- Quantization of signals -- Exponential approximation : Sums of exponentials -- The Laplace transformation -- Simulation and the method of zeros and poles -- Miscellaneous : Approximations to singularities -- Optimization -- Linear independence : Eigenvalues and eigenvectors of Hermitian matrices -- N+1 The art of computing for scientists and engineers Summary For this inexpensive paperback edition of a groundbreaking classic, the author has extensively rearranged, rewritten, and enlarged the material. Book is unique in its emphasis on the frequency approach and its use in the solution of problems. Contents include: Fundamentals and Algorithms; Polynomial Approximation? Classical Theory; Fourier Approximation? Modern Theory; and Exponential Approximation Notes Reprint. Originally published: New York : McGraw-Hill, 1973 Bibliography Includes bibliographical references (pages 711-714) and index Notes Print version record Subject Numerical analysis -- Data processing Mathematical Computing MATHEMATICS -- Mathematical Analysis. MATHEMATICS -- Applied. MATHEMATICS -- Probability & Statistics -- General. Numerical analysis -- Data processing Analyse numérique -- Informatique. Form Electronic book ISBN 9780486134826 0486134822 9781621986348 1621986349

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