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Practical numerical methods. Algorithms and programs. (English) Zbl 0665.65002

New York: Macmillan Co.; London: Collier Macmillan Ltd. XII, 259 p.; $ 34.95 (1987).
Aimed at professional scientists and engineers, this book is intended primarily as a reference for computational methods for relatively simple problems. The book may also be appropriate as a textbook supplement on numerical methods for science and engineering students. The goals are to present the underlying concepts and to indicate the scope of applicability of the numerical methods in question, while keeping mathematical proofs and derivations to a minimum. Prerequisites include calculus, differential equations, linear algebra, and probability and statistics.
Chapter topics are: origin and significance of errors, nonlinear algebraic equations, systems of linear algebraic equations, approximation and interpolation, differentiation and integration, ordinary differential equations, and statistics. The book includes a good number of FORTRAN and Pascal programs for selected methods. Examples are given to illustrate the methods in question. The examples are intended for situations that may arise in practice, while avoiding mathematical intricacies. The book has only a relatively small number of applications, and it contains no exercises. An error analysis is given with each method discussed. Method selection is given relatively little attention.

MSC:

65-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis
65G50 Roundoff error
65Fxx Numerical linear algebra
65Hxx Nonlinear algebraic or transcendental equations
65Dxx Numerical approximation and computational geometry (primarily algorithms)
65Lxx Numerical methods for ordinary differential equations