An Introduction to the Approximation of Functions

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Courier Corporation, 1969 - Mathematics - 150 pages
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This graduate-level text offers a concise but wide-ranging introduction to methods of approximating continuous functions by functions depending only on a finite number of parameters. It places particular emphasis on approximation by polynomials and not only discusses the theoretical underpinnings of many common algorithms but also demonstrates their practical applications. 1969 edition.
 

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Contents

INTRODUCTION
1
UNIFORM APPROXIMATION
11
CHAPTER Z LEASTSQUARES APPROXIMATION
48
CHAPTER J LEASTFIRSTPOWER APPROXIMATION
66
POLYNOMIAL AND SPLINE INTERPOLATION
87
CHAPTER J APPROXIMATION AND INTERPOLATION
120
BIBLIOGRAPHY
143
INDEx
149
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About the author (1969)

Theodore J. Rivlin was a Research Staff Member in the Department of Mathematical Sciences at IBM's Thomas J. Watson Research Center in Yorktown Heights, New York.

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