1.

Record Nr.

UNINA9910459639103321

Autore

Gal Sorin G. <1953->

Titolo

Shape-preserving approximation by real and complex polynomials [[electronic resource] /] / Sorin G. Gal

Pubbl/distr/stampa

Boston, : Birkhàˆuser, 2008

ISBN

1-283-25095-0

9786613250957

0-8176-4703-1

Edizione

[1st ed. 2008.]

Descrizione fisica

1 online resource (364 pages)

Disciplina

511.4

Soggetti

Approximation theory

Bernstein polynomials

Multivariate analysis

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Shape-Preserving Approximation By Real Univariate Polynomials -- Shape-Preserving Approximation by Real Multivariate Polynomials -- Shape-Preserving Approximation by Complex Univariate Polynomials -- Shape-Preserving Approximation by Complex Multivariate Polynomials -- Appendix : Some Related Topics.

Sommario/riassunto

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.

2.

Record Nr.

UNISA996384090703316

Autore

Bunworth Richard

Titolo

A new discovery of the French disease and running of the reins [[electronic resource] ] : their causes, signs, with plain and easie direction of perfect curing the same. By R. Bunworth

Pubbl/distr/stampa

London, : printed for Henry Marsh at the Princes-Arms in Chancery-lane, 1666

Edizione

[The second edition corrected with large additionals.]

Descrizione fisica

[16], 77, [3] p

Soggetti

Sexually transmitted diseases

Syphilis

Gonorrhea

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Title page is A2.

The first leaf is blank.

Reproduction of original in the Royal College of Physicians Library, London.

Sommario/riassunto

eebo-0136