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Numerical Methods in Scientific Computing

v. 1

Format: Hardback
Publisher: Society for Industrial & Applied Mathematics,U.S., New York, United States
Published: 30th May 2008
Dimensions: w 152mm h 229mm d 42mm
Weight: 1430g
ISBN-10: 0898716446
ISBN-13: 9780898716443
Barcode No: 9780898716443
Synopsis
Addresses the increasingly-important role of numerical methods in science and engineering. While treating traditional and well-developed topics, it also emphasizes concepts and ideas of importance to the design of accurate and efficient algorithms with applications to scientific computing. Although this volume is self-contained, more comprehensive treatments of matrix computations will be given in a forthcoming volume. Numerical Methods in Scientific Computing, Volume I enriches the traditional content of interpolation, approximation, Fourier analysis, quadrature, and root-finding with other material that is rarely found in numerical analysis texts, such as interval arithmetic, elementary functions, operator series, convergence acceleration, and continued fractions. The authors also include review questions, problems, and computer exercises drawn from 40 years of teaching. More than 60 short biographical notes on mathematicians who have made significant contributions to numerical analysis illustrate the connections that pervade the discipline. A supplementary Website contains three appendices: an introduction to matrix computations; a description of Mulprec, a MATLAB(R) multiple precision package; and a guide to literature, algorithms, and software in numerical analysis.

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'This work is a monumental undertaking and represents the most comprehensive textbook survey of numerical analysis to date. It will be an important reference in the field for many years to come.' Nicholas J. Higham, University of Manchester