Approximation with Rational Functions
Share this pageD. J. Newman
A co-publication of the AMS and CBMS
This series of lectures treats certain amusing and interesting aspects of rational function approximations, striving for variety and diversity rather than depth or thoroughness. Graduate students and faculty, knowledgeable in the elements of real and complex analysis, should gain insight into recent developments in the field.
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Table of Contents
Table of Contents
Approximation with Rational Functions
- Cover Cover11 free
- Title i2 free
- Copyright ii3 free
- Contents iii4 free
- Lecture I. Approximation to x[sup(k)] 16 free
- Lecture II. Müntz Rational Functions 712
- Lecture III. Quadrature in H[sup(p)] 1318
- Lecture IV. Quadrature in H[sup(p)], Concluded 1722
- Lecture V. Rational Approximation to e[sup(x)] 2227
- Lecture VI. Using Only Real Zeros and Poles 2631
- Lecture VII. Approximation of Lip 1 Functions 3035
- Lecture VIII. Proof of the Lip 1 Conjecture 3540
- Lecture IX. e[sup(x), Using Only Negative Zeros and Poles 4146
- Lecture X. Open Problems 4752
- Back Cover Back covr158