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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Arithmetik & Algebra Shape-Preserving Approximation by Real and Complex Polynomials
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Shape-Preserving Approximation by Real and Complex Polynomials
Sorin G. Gal (Gebundene Ausgabe, Englisch)
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Beschreibung
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. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
25.09.2008
Sprache
Englisch
EAN
9780817647025
Herausgeber
Birkhäuser Boston
Sonderedition
Nein
Autor
Sorin G. Gal
Seitenanzahl
352
Einbandart
Gebundene Ausgabe
Schlagwörter
Computer, Operator, differential equation, fluid mechanics, mechanics, numerical analysis, partial differential equation, robotics
Thema-Inhalt
PBF - Algebra
PBKJ - Differentialrechnung und -gleichungen
PBKB - Reelle Analysis, Real-Variablen
PBKD - Komplexe Analysis, komplexe Variablen, Funktionentheorie
PBKS - Numerische Mathematik
TBJ - Mathematik für Ingenieure
Höhe
235 mm
Breite
15.5 cm
Hersteller: Birkhäuser, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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