The Resource Shapepreserving approximation by real and complex polynomials, Sorin G. Gal
Shapepreserving approximation by real and complex polynomials, Sorin G. Gal
Resource Information
The item Shapepreserving approximation by real and complex polynomials, Sorin G. Gal represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Shapepreserving approximation by real and complex polynomials, Sorin G. Gal represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 Summary
 This monograph presents the first comprehensive treatment in book form of shapepreserving 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: shapepreserving approximation and interpolation of real functions of one real variable by real polynomials; shapepreserving approximation of real functions of several real variables by multivariate real polynomials; shapepreserving approximation of analytic functions of one complex variable by complex polynomials in the unit disk; and shapepreserving 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 nonpolynomial and nonspline approximations preserving shape including those by complexified operators with applications to complex partial differential equations. ShapePreserving 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
 Language
 eng
 Extent
 1 online resource (xiii, 352 pages)
 Contents

 ShapePreserving Approximation By Real Univariate Polynomials
 ShapePreserving Approximation by Real Multivariate Polynomials
 ShapePreserving Approximation by Complex Univariate Polynomials
 ShapePreserving Approximation by Complex Multivariate Polynomials
 Appendix : Some Related Topics
 Isbn
 9780817647032
 Label
 Shapepreserving approximation by real and complex polynomials
 Title
 Shapepreserving approximation by real and complex polynomials
 Statement of responsibility
 Sorin G. Gal
 Language
 eng
 Summary
 This monograph presents the first comprehensive treatment in book form of shapepreserving 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: shapepreserving approximation and interpolation of real functions of one real variable by real polynomials; shapepreserving approximation of real functions of several real variables by multivariate real polynomials; shapepreserving approximation of analytic functions of one complex variable by complex polynomials in the unit disk; and shapepreserving 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 nonpolynomial and nonspline approximations preserving shape including those by complexified operators with applications to complex partial differential equations. ShapePreserving 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
 Cataloging source
 GW5XE
 http://library.link/vocab/creatorDate
 1953
 http://library.link/vocab/creatorName
 Gal, Sorin G.
 Dewey number
 511.4
 Index
 index present
 LC call number
 QA221
 LC item number
 .G34 2008
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 http://library.link/vocab/subjectName

 Approximation theory
 Bernstein polynomials
 Multivariate analysis
 MATHEMATICS
 Approximation theory
 Bernstein polynomials
 Multivariate analysis
 Polynomapproximation
 Label
 Shapepreserving approximation by real and complex polynomials, Sorin G. Gal
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 ShapePreserving Approximation By Real Univariate Polynomials  ShapePreserving Approximation by Real Multivariate Polynomials  ShapePreserving Approximation by Complex Univariate Polynomials  ShapePreserving Approximation by Complex Multivariate Polynomials  Appendix : Some Related Topics
 Control code
 649426328
 Dimensions
 unknown
 Extent
 1 online resource (xiii, 352 pages)
 Form of item
 online
 Isbn
 9780817647032
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9780817647032
 http://library.link/vocab/ext/overdrive/overdriveId
 9780817647025
 Specific material designation
 remote
 System control number
 (OCoLC)649426328
 Label
 Shapepreserving approximation by real and complex polynomials, Sorin G. Gal
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 ShapePreserving Approximation By Real Univariate Polynomials  ShapePreserving Approximation by Real Multivariate Polynomials  ShapePreserving Approximation by Complex Univariate Polynomials  ShapePreserving Approximation by Complex Multivariate Polynomials  Appendix : Some Related Topics
 Control code
 649426328
 Dimensions
 unknown
 Extent
 1 online resource (xiii, 352 pages)
 Form of item
 online
 Isbn
 9780817647032
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9780817647032
 http://library.link/vocab/ext/overdrive/overdriveId
 9780817647025
 Specific material designation
 remote
 System control number
 (OCoLC)649426328
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