Interpolation and Approximation by Polynomials

• Main Author: Phillips, George M. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2003.
• Series: CMS Books in Mathematics,
• Subjects: Mathematics.; Approximation theory.; Numerical analysis.; Optics.; Optoelectronics.; Plasmons (Physics).; Approximations and Expansions.; Numerical Analysis.; Optics, Optoelectronics, Plasmonics and Optical Devices.

This book covers the main topics concerned with interpolation and approximation by polynomials. This subject can be traced back to the precalculus era but has enjoyed most of its growth and development since the end of the nineteenth century and is still a lively and flourishing part of mathematics...

Table of Contents:

• Univariate Interpolation
• Best Approximation
• Numerical Integration
• Peano’s Theorem and Applications
• Multivariate Interpolation
• Splines
• Bernstein Polynomials
• Properties of the q-Integers.