An Introduction To The Approximation Of Functions


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An Introduction to the Approximation of Functions


An Introduction to the Approximation of Functions

Author: Theodore J. Rivlin

language: en

Publisher: Courier Corporation

Release Date: 1981-01-01


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Mathematics of Computing -- Numerical Analysis.

Approximation of Functions


Approximation of Functions

Author: G. G. Lorentz

language: en

Publisher: American Mathematical Soc.

Release Date: 2005


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This is an easily accessible book on the approximation of functions--simple and without unnecessary details, but complete enough to include the main results of the theory. Except for a few sections, only functions of a real variable are treated. This work can be used as a textbook for graduate or advanced undergraduate courses or for self-study. Included in the volume are Notes at the end of each chapter, Problems, and a selected Bibliography.

Approximation Theory and Methods


Approximation Theory and Methods

Author: M. J. D. Powell

language: en

Publisher: Cambridge University Press

Release Date: 1981-03-31


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Most functions that occur in mathematics cannot be used directly in computer calculations. Instead they are approximated by manageable functions such as polynomials and piecewise polynomials. The general theory of the subject and its application to polynomial approximation are classical, but piecewise polynomials have become far more useful during the last twenty years. Thus many important theoretical properties have been found recently and many new techniques for the automatic calculation of approximations to prescribed accuracy have been developed. This book gives a thorough and coherent introduction to the theory that is the basis of current approximation methods. Professor Powell describes and analyses the main techniques of calculation supplying sufficient motivation throughout the book to make it accessible to scientists and engineers who require approximation methods for practical needs. Because the book is based on a course of lectures to third-year undergraduates in mathematics at Cambridge University, sufficient attention is given to theory to make it highly suitable as a mathematical textbook at undergraduate or postgraduate level.