A first course in numerical analysis : second edition / Anthony Ralston, Philip Rabinowitz.
By: Ralston, Anthony.
Contributor(s): Rabinowitz, Phil.
Material type:
BookSeries: Dover books on mathemati: Publisher: [S.l.] : Dover Publications, 2001Edition: Second Edition.Description: 624 p. ; 21 cm.ISBN: 048641454X (paperback); 9780486414546 (paperback).Online resources: Amazon.com Summary: This outstanding text by two well-known authors treats numerical analysis with mathematical rigor, but presents a minimum of theorems and proofs. Oriented toward computer solutions of problems, it stresses error analysis and computational efficiency, and compares different solutions to the same problem. Following an introductory chapter on sources of error and computer arithmetic, the text covers such topics as approximation and algorithms; interpolation; numerical differentiation and numerical quadrature; the numerical solution of ordinary differential equations; functional approximation by least squares and by minimum-maximum error techniques; the solution of nonlinear equations and of simultaneous linear equations; and the calculation of eigenvalues and eigenvectors of matrices. This second edition also includes discussions of spline interpolation, adaptive integration, the fast Fourier transform, the simplex method of linear programming, and simple and double QR algorithms. Problems — some strictly mathematical, others requiring a computer — appear at the end of each chapt
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Central Library, QUEST, Nawabshah
Welcome to the Central Library, QUEST, Nawabshah, Sindh, Pakistan |
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Central Library, QUEST, Nawabshah
Welcome to the Central Library, QUEST, Nawabshah, Sindh, Pakistan |
511.7RAL (Browse shelf) | Available | 10609 | ||
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Seminar Library, Mathematics & Statis. | 511.7RAL (Browse shelf) | Available | 10608 |
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This outstanding text by two well-known authors treats numerical analysis with mathematical rigor, but presents a minimum of theorems and proofs. Oriented toward computer solutions of problems, it stresses error analysis and computational efficiency, and compares different solutions to the same problem. Following an introductory chapter on sources of error and computer arithmetic, the text covers such topics as approximation and algorithms; interpolation; numerical differentiation and numerical quadrature; the numerical solution of ordinary differential equations; functional approximation by least squares and by minimum-maximum error techniques; the solution of nonlinear equations and of simultaneous linear equations; and the calculation of eigenvalues and eigenvectors of matrices. This second edition also includes discussions of spline interpolation, adaptive integration, the fast Fourier transform, the simplex method of linear programming, and simple and double QR algorithms. Problems — some strictly mathematical, others requiring a computer — appear at the end of each chapt
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