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Precise numerical methods using C++. (English) Zbl 0932.65001

Orlando, FL: Academic Press. 238 p. (1998).
Publisher’s description: This book explains how precise numerical analysis is constructed with C++. Included is a CD-ROM which contains executable Windows 95 programs for the PC and which demonstrates how these programs can be used to solve typical problems of elementary numerical analysis with precision. The book also provides exercises which illustrate points from the text and references for the methods presented.
Key features: Shows how to compute accurate solutions to mathematical problems reliably and easily. Offers test problems which illustrate points from the text. Contains references for the methods presented. Includes an accompanying CD-ROM that provides executable Windows 95 programs for the PC.
Contents: Introduction. Various Arithmetics. Solvable Problems and Nonsolvable Problems. Computing Derivatives and Integrals. Finding Zeros of Real Functions. Finding Zeros of Polynomials and Other Analytic Functions. Problems of Linear Algebra. Optimization Problems. Numerical Solution of Ordinary Differential Equations. The C++ System for Precise Computation. Subject Index.

MSC:

65-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis
65H05 Numerical computation of solutions to single equations
65Fxx Numerical linear algebra
65Kxx Numerical methods for mathematical programming, optimization and variational techniques
65Lxx Numerical methods for ordinary differential equations
65Y15 Packaged methods for numerical algorithms

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