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A Theoretical Introduction to Numerical Analysis
Taschenbuch von Victor S Ryaben'kii (u. a.)
Sprache: Englisch

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Beschreibung

An accessible yet rigorous mathematical introduction, A Theoretical Introduction to Numerical Analysis provides a pedagogical account of the fundamentals of numerical analysis. Using numerical methods from real analysis, linear algebra, and differential equations, the authors explain basic concepts, such as error, discretization, efficiency, complexity, numerical stability, consistency, and convergence. The text also addresses more complex topics like intrinsic error limits and the smoothness of approximated functions in the context of Chebyshev interpolation, Gaussian quadratures, and spectral methods for differential equations. The authors often delineate various techniques through exercises that require further theoretical study or computer implementation.

An accessible yet rigorous mathematical introduction, A Theoretical Introduction to Numerical Analysis provides a pedagogical account of the fundamentals of numerical analysis. Using numerical methods from real analysis, linear algebra, and differential equations, the authors explain basic concepts, such as error, discretization, efficiency, complexity, numerical stability, consistency, and convergence. The text also addresses more complex topics like intrinsic error limits and the smoothness of approximated functions in the context of Chebyshev interpolation, Gaussian quadratures, and spectral methods for differential equations. The authors often delineate various techniques through exercises that require further theoretical study or computer implementation.

Über den Autor
Victor S. Ryaben'kii, Semyon V Tsynkov
Inhaltsverzeichnis
Introduction. Interpolation of Functions. Quadratures. Systems of Scalar Equations. The Method of Finite Differences for the Numerical Solution of Differential Equations. The Methods of Boundary Equations for the Numerical Solution of Boundary Value Problems. References. Index.
Details
Erscheinungsjahr: 2019
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9780367453398
ISBN-10: 0367453398
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Ryaben'kii, Victor S
Tsynkov, Semyon V
Hersteller: CRC Press
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 235 x 156 x 28 mm
Von/Mit: Victor S Ryaben'kii (u. a.)
Erscheinungsdatum: 17.12.2019
Gewicht: 0,767 kg
Artikel-ID: 131008341
Über den Autor
Victor S. Ryaben'kii, Semyon V Tsynkov
Inhaltsverzeichnis
Introduction. Interpolation of Functions. Quadratures. Systems of Scalar Equations. The Method of Finite Differences for the Numerical Solution of Differential Equations. The Methods of Boundary Equations for the Numerical Solution of Boundary Value Problems. References. Index.
Details
Erscheinungsjahr: 2019
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9780367453398
ISBN-10: 0367453398
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Ryaben'kii, Victor S
Tsynkov, Semyon V
Hersteller: CRC Press
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 235 x 156 x 28 mm
Von/Mit: Victor S Ryaben'kii (u. a.)
Erscheinungsdatum: 17.12.2019
Gewicht: 0,767 kg
Artikel-ID: 131008341
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