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Cover: 9780387953663 | A Practical Guide to Splines | Carl de Boor | Buch | xviii | Englisch
Bild: 9780387953663 | A Practical Guide to Splines | Carl de Boor | Buch | xviii | Englisch
Cover: 9780387953663 | A Practical Guide to Splines | Carl de Boor | Buch | xviii | Englisch
Bild: 9780387953663 | A Practical Guide to Splines | Carl de Boor | Buch | xviii | Englisch
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A Practical Guide to Splines
Buch von Carl de Boor
Sprache: Englisch

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Beschreibung
This book is based on the author's experience with calculations involving polynomial splines. It presents those parts of the theory that are especially useful in calculations and stresses the representation of splines as weighted sums of B-splines. This revised edition has been typeset, and all figures have been redrawn. In a major change, the B-spline theory is now developed directly from the recurrence relations without recourse to divided differences. Almost all formal statements are now provided with proofs, and many minor changes have been made throughout, including the correction of errors.
This book is based on the author's experience with calculations involving polynomial splines. It presents those parts of the theory that are especially useful in calculations and stresses the representation of splines as weighted sums of B-splines. This revised edition has been typeset, and all figures have been redrawn. In a major change, the B-spline theory is now developed directly from the recurrence relations without recourse to divided differences. Almost all formal statements are now provided with proofs, and many minor changes have been made throughout, including the correction of errors.
Zusammenfassung
This book is a first introduction to a field of numerical analysis of particular practical importance. Among the topics covered are linear, cubic and parabolic splines, B-splines, piecewise polynomial functions, and specific approximation methods. The book is intended for the engineer or scientist who wishes to develop some expertise in the computational use of splines. Fortran programs can be found throughout the book.
Inhaltsverzeichnis
I · Polynomial Interpolation.- II · Limitations of Polynomial Approximation.- III · Piecewise Linear Approximation.- IV · Piecewise Cubic Interpolation.- V · Best Approximation Properties of Complete Cubic Spline Interpolation and Its Error.- VI · Parabolic Spline Interpolation.- VII · A Representation for Piecewise Polynomial Functions.- VIII · The Spaces ?
Details
Erscheinungsjahr: 2001
Fachbereich: Geometrie
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Inhalt: xviii
348 S.
ISBN-13: 9780387953663
ISBN-10: 0387953663
Sprache: Englisch
Einband: Gebunden
Autor: Boor, Carl de
Auflage: 1st edition 1978. 1st hardcover printing 2001
Hersteller: Springer US
Springer New York
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 241 x 160 x 26 mm
Von/Mit: Carl de Boor
Erscheinungsdatum: 29.11.2001
Gewicht: 0,723 kg
Artikel-ID: 104422047
Zusammenfassung
This book is a first introduction to a field of numerical analysis of particular practical importance. Among the topics covered are linear, cubic and parabolic splines, B-splines, piecewise polynomial functions, and specific approximation methods. The book is intended for the engineer or scientist who wishes to develop some expertise in the computational use of splines. Fortran programs can be found throughout the book.
Inhaltsverzeichnis
I · Polynomial Interpolation.- II · Limitations of Polynomial Approximation.- III · Piecewise Linear Approximation.- IV · Piecewise Cubic Interpolation.- V · Best Approximation Properties of Complete Cubic Spline Interpolation and Its Error.- VI · Parabolic Spline Interpolation.- VII · A Representation for Piecewise Polynomial Functions.- VIII · The Spaces ?
Details
Erscheinungsjahr: 2001
Fachbereich: Geometrie
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Inhalt: xviii
348 S.
ISBN-13: 9780387953663
ISBN-10: 0387953663
Sprache: Englisch
Einband: Gebunden
Autor: Boor, Carl de
Auflage: 1st edition 1978. 1st hardcover printing 2001
Hersteller: Springer US
Springer New York
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 241 x 160 x 26 mm
Von/Mit: Carl de Boor
Erscheinungsdatum: 29.11.2001
Gewicht: 0,723 kg
Artikel-ID: 104422047
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