A First Course in Numerical Analysis (International Series in Pure & Applied Mathematics)

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9780070511583: A First Course in Numerical Analysis (International Series in Pure & Applied Mathematics)

This outstanding text by two well-known authors treats numerical analysis with mathematical rigor, but presents relatively few theorems and proofs. Oriented toward computer solutions of problems, it stresses errors in methods and computational efficiency, and it 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 chapter.

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Anthony Ralston, Philip Rabinowitz
Published by Mcgraw-Hill College (1978)
ISBN 10: 0070511586 ISBN 13: 9780070511583
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Anthony Ralston; Philip Rabinowitz
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Ralston, Anthony, Rabinowitz, Philip
Published by Mcgraw-Hill College (1978)
ISBN 10: 0070511586 ISBN 13: 9780070511583
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