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2003 | Buch

Interpolation and Approximation by Polynomials

verfasst von: George M. Phillips

Verlag: Springer New York

Buchreihe : CMS Books in Mathematics

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Über dieses Buch

This book is intended as a course in numerical analysis and approximation theory for advanced undergraduate students or graduate students, and as a reference work for those who lecture or research in this area. Its title pays homage to Interpolation and Approximation by Philip J. Davis, published in 1963 by Blaisdell and reprinted by Dover in 1976. My book is less g- eral than Philip Davis’s much respected classic, as the quali?cation “by polynomials” in its title suggests, and it is pitched at a less advanced level. I believe that no one book can fully cover all the material that could appearinabookentitledInterpolation and Approximation by Polynomials. Nevertheless, I have tried to cover most of the main topics. I hope that my readers will share my enthusiasm for this exciting and fascinating area of mathematics, and that, by working through this book, some will be encouraged to read more widely and pursue research in the subject. Since my book is concerned with polynomials, it is written in the language of classical analysis and the only prerequisites are introductory courses in analysis and linear algebra.

Inhaltsverzeichnis

Frontmatter
1. Univariate Interpolation
George M. Phillips
2. Best Approximation
George M. Phillips
3. Numerical Integration
George M. Phillips
4. Peano’s Theorem and Applications
George M. Phillips
5. Multivariate Interpolation
George M. Phillips
6. Splines
George M. Phillips
7. Bernstein Polynomials
George M. Phillips
8. Properties of the q-Integers
George M. Phillips
Backmatter
Metadaten
Titel
Interpolation and Approximation by Polynomials
verfasst von
George M. Phillips
Copyright-Jahr
2003
Verlag
Springer New York
Electronic ISBN
978-0-387-21682-9
Print ISBN
978-0-387-00215-6
DOI
https://doi.org/10.1007/b97417