000 | 02048cam a2200229 a 4500 | ||
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001 | 12148775 | ||
010 | _a 00064343 | ||
020 | _a048641454X (pbk.) | ||
082 | 0 | 0 |
_a518 _bRAL/F |
100 | 1 | _aRalston, Anthony. | |
245 | 1 | 2 | _aA first course in numerical analysis / |
250 | _a2nd ed. | ||
260 |
_aMineola, NY : _bDover Publications, _c2001. |
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300 |
_axviii, 556, 50 p. : _bill. ; |
||
500 | _a"This Dover edition, first published in 2001, is an unabridged, slightly corrected republication of the second edition of the work originally published by McGraw-Hill Inc., New York, in 1965 and issued in a revised second edition in 1978 by the same publisher"--T.p. verso. | ||
520 | _aThis 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. | ||
650 | 0 |
_aNumerical analysis. _aMathematics |
|
700 | 1 | _aRabinowitz, Philip. | |
856 | 4 | 2 | _uhttp://www.loc.gov/catdir/description/dover032/00064343.html |
856 | 4 | 1 | _uhttp://www.loc.gov/catdir/toc/dover031/00064343.html |
942 | _cBK | ||
999 |
_c66595 _d66595 |