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Zustand: New. 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. Num Pages: 365 pages, biography. BIC Classification: PBF. Category: (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 234 x 156 x 20. Weight in Grams: 691. . 2008. Hardback. . . . .
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Zustand: New. 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. Num Pages: 365 pages, biography. BIC Classification: PBF. Category: (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 234 x 156 x 20. Weight in Grams: 691. . 2008. Hardback. . . . . Books ship from the US and Ireland.
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Anbieter: AHA-BUCH GmbH, Einbeck, Deutschland
Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - In many problems arising in engineering and science one requires approxi- tion methods to reproduce physical reality as well as possible. Very schema- cally, if the input data represents a complicated discrete/continuous quantity of information, of 'shape' S (S could mean, for example, that we have a 'monotone/convex' collection of data), then one desires to represent it by the less-complicated output information, that 'approximates well' the input data and, in addition, has the same 'shape' S. This kind of approximation is called 'shape-preserving approximation' and arises in computer-aided geometric design, robotics, chemistry, etc. Typically, the input data is represented by a real or complex function (of one or several variables), and the output data is chosen to be in one of the classes polynomial, spline, or rational functions. The present monograph deals in Chapters 1-4 with shape-preserving - proximation by real or complex polynomials in one or several variables. Chapter 5 is an exception and is devoted to some related important but n- polynomial andnonsplineapproximations preservingshape.Thesplinecaseis completely excluded in the present book, since on the one hand, many details concerning shape-preserving properties of splines can be found, for example, in the books of de Boor [49], Schumaker [344], Chui [69], DeVore-Lorentz [91], Kvasov [218] and in the surveys of Leviatan [229], Koci c-Milovanovi c [196], while on the other hand, we consider that shape-preserving approximation by splines deserves a complete study in a separate book.
Sprache: Englisch
Verlag: Springer, 2008
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Hardcover. Zustand: New. ISBN:9780817647025.
Sprache: Englisch
Verlag: Birkhäuser Boston Sep 2008, 2008
ISBN 10: 0817647023 ISBN 13: 9780817647025
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Buch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -First comprehensive treatment in book form of shape-preserving approximation by real or complex polynomials in one or several variablesOfinterest tograd students and researchers inapproximation theory, mathematical analysis, numerical analysis, Computer Aided Geometric Design, robotics, data fitting, chemistry, fluid mechanics, and engineeringContains many open problems to spur future researchRich and updated bibliography 368 pp. Englisch.
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In den WarenkorbGebunden. Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. First comprehensive treatment in book form of shape-preserving approximation by real or complex polynomials in one or several variablesOf interest to grad students and researchers in approximation theory, mathematical analysis, numerical analysis,.
Sprache: Englisch
Verlag: Birkhäuser, Birkhäuser Sep 2008, 2008
ISBN 10: 0817647023 ISBN 13: 9780817647025
Anbieter: buchversandmimpf2000, Emtmannsberg, BAYE, Deutschland
Buch. Zustand: Neu. This item is printed on demand - Print on Demand Titel. Neuware -In many problems arising in engineering and science one requires approxi- tion methods to reproduce physical reality as well as possible. Very schema- cally, if the input data represents a complicated discrete/continuous quantity of information, of ¿shape¿ S (S could mean, for example, that we have a ¿monotone/convex¿ collection of data), then one desires to represent it by the less-complicated output information, that ¿approximates well¿ the input data and, in addition, has the same ¿shape¿ S. This kind of approximation is called ¿shape-preserving approximation¿ and arises in computer-aided geometric design, robotics, chemistry, etc. Typically, the input data is represented by a real or complex function (of one or several variables), and the output data is chosen to be in one of the classes polynomial, spline, or rational functions. The present monograph deals in Chapters 1¿4 with shape-preserving - proximation by real or complex polynomials in one or several variables. Chapter 5 is an exception and is devoted to some related important but n- polynomial andnonsplineapproximations preservingshape.Thesplinecaseis completely excluded in the present book, since on the one hand, many details concerning shape-preserving properties of splines can be found, for example, in the books of de Boor [49], Schumaker [344], Chui [69], DeVore¿Lorentz [91], Kvasov [218] and in the surveys of Leviatan [229], Koci¿ c¿Milovanovi¿ c [196], while on the other hand, we consider that shape-preserving approximation by splines deserves a complete study in a separate book.Springer Nature c/o IBS, Benzstrasse 21, 48619 Heek 368 pp. Englisch.