Shape-Preserving Approximation by Real and Complex Polynomials

Sorin G. Gal

ISBN 10: 0817647023 / ISBN 13: 9780817647025

Verlag: Birkhauser Boston Inc, 2008

This item is printed on demand. New copy - Usually dispatched within 5-9 working days 721. Bestandsnummer des Verkäufers C9780817647025

Inhaltsangabe:

First comprehensive treatment in book form of shape-preserving approximation by real or complex polynomials in one or several variables

Of interest to grad students and researchers in approximation theory, mathematical analysis, numerical analysis, Computer Aided Geometric Design, robotics, data fitting, chemistry, fluid mechanics, and engineering

Contains many open problems to spur future research

Rich and updated bibliography

Von der hinteren Coverseite:

This monograph presents the first comprehensive treatment in book form of shape-preserving approximation by real or complex polynomials in one or several variables. Such approximation methods are useful in many problems that arise in science and engineering and require an optimal mathematical representation of physical reality.

The main topics are structured in four chapters, followed by an appendix: shape-preserving approximation and interpolation of real functions of one real variable by real polynomials; shape-preserving approximation of real functions of several real variables by multivariate real polynomials; shape-preserving approximation of analytic functions of one complex variable by complex polynomials in the unit disk; and shape-preserving approximation of analytic functions of several complex variables on the unit ball or the unit polydisk by polynomials of several complex variables. The appendix treats related results of non-polynomial and non-spline approximations preserving shape including those by complexified operators with applications to complex partial differential equations.

Shape-Preserving Approximation by Real and Complex Polynomials contains many open problems at the end of each chapter to stimulate future research along with a rich and updated bibliography surveying the vast literature. The text will be useful to graduate students and researchers interested in approximation theory, mathematical analysis, numerical analysis, computer aided geometric design, robotics, data fitting, chemistry, fluid mechanics, and engineering.

Bibliografische Details

Titel: Shape-Preserving Approximation by Real and ...
Verlag: Birkhauser Boston Inc
Erscheinungsdatum: 2008
Einband: Hardback
Zustand: New