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Details for:
Acton F. Numerical Methods that Work 1990
acton f numerical methods work 1990
Type:
E-books
Files:
1
Size:
17.9 MB
Uploaded On:
Sept. 21, 2023, 3:59 p.m.
Added By:
andryold1
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0
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Info Hash:
6BEABBF2639252153EB2429E815CF0C46D2FEB9A
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Textbook in PDF format Classical treatise on Numerical Methods. Numerical Methods that Work, originally published in 1970, has been reissued by the MAA with a new preface and some additional problems. Republication of this book may be considered as a tribute to its classic status in the field. Acton deals with a commonsense approach to numerical algorithms for the solution of equations: algebraic, transcendental, and differential. He assumes that a computer is available for performing the bulk of the arithmetic. The book is divided into two parts, either of which could form the basis of a one-semester course in numerical methods. Part I discusses most of the standard techniques: roots of transcendental equations, roots of polynomials, eigenvalues of symmetric matrices, and so on. Part II cuts across the basic tools, stressing such commonplace problems as extrapolation, removal of singularities, and loss of significant figures. The book is written with clarity and precision, intended for practical rather than theoretical use. This book will interest mathematicians, both pure and applied, as well as any scientist or engineer working with numerical problems. This book of Acton's is maybe not the most comprehensive, but it is easy to understand. So, Numerical Methods that Work is a wonderfully candid and good-humoured lore book to keep coming back to. There are some very useful techniques in this. Reading it and making its attitude your own will make your programs better and save you from lots of painful blunders! So as long as one does not expect this book to satisfy all your numerical analysis requirements, it is definitely a useful addition to your library. This is a wonderful book on the subject. Brings a commonsense approach to numerical algorithms for the solution of equations and many, many more. Excellent book as an intuitive approach to numerical methods. Preface-90 To the Instructor To the Student The Railroad Rail Problem - an Essential Prerequisite Fundamental Methods The Calculation of Functions Roots of Transcendental Equations Interpolation - And All That! Quadrature Ordinary Differential Equations - Initial Conditions Ordinary Differential Equations - Boundary Conditions Strategy Versus Tactics - Roots of Polynomials Eigenvalues I Fourier Series Double Trouble The Evaluation of Integrals Power Series, Continued Fractions, and Rational Approximations Economization of Approximations Eigenvalues II - Rotational Methods Roots of Equations - Again The Care and Treatment of Singularities Instability in Extrapolation Minimum Methods Laplace's Equation - an Overview Network Problems Afterthoughts Bibliography Index
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Acton F. Numerical Methods that Work 1990.pdf
17.9 MB
