An Introduction to the Approximation of Functions - Rilegato

Rivlin, Theodore J.

9780486495545: An Introduction to the Approximation of Functions

Rilegato

ISBN 10: 048649554X ISBN 13: 9780486495545

Casa editrice: Dover Pubns, 2003

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Concise but wide-ranging, this text provides an introduction to methods of approximating continuous functions by functions that depend only on a finite number of parameters. Not only does the author discuss the theoretical underpinnings of many common algorithms, but he also demonstrates the procedure's practical applications. Each method of approximation features at least one algorithm that traces the path to formulation of the actual numerical approximation. This volume will prove particularly useful as a supplement to introductory courses in both mathematical and numerical analysis; written for upper-level graduate students, it presupposes a knowledge of advanced calculus and linear algebra.

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Contenuti

Introduction. 1. Uniform Approximation. 2. Least-Squares Approximation. 3. Least-First-Power Approximation. 4. Polynomial and Spline Interpolation. 5. Approximation and Interpolation by Rational Functions. Bibliography. Index.