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Numerical Linear Algebra
A Concise Introduction with MATLAB and Julia
Taschenbuch von Folkmar Bornemann
Sprache: Englisch

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Beschreibung
This book offers an introduction to the algorithmic-numerical thinking using basic problems of linear algebra. By focusing on linear algebra, it ensures a stronger thematic coherence than is otherwise found in introductory lectures on numerics. The book highlights the usefulness of matrix partitioning compared to a component view, leading not only to a clearer notation and shorter algorithms, but also to significant runtime gains in modern computer architectures. The algorithms and accompanying numerical examples are given in the programming environment MATLAB, and additionally ¿ in an appendix ¿ in the future-oriented, freely accessible programming language Julia. This book is suitable for a two-hour lecture on numerical linear algebra from the second semester of a bachelor's degree in mathematics.
This book offers an introduction to the algorithmic-numerical thinking using basic problems of linear algebra. By focusing on linear algebra, it ensures a stronger thematic coherence than is otherwise found in introductory lectures on numerics. The book highlights the usefulness of matrix partitioning compared to a component view, leading not only to a clearer notation and shorter algorithms, but also to significant runtime gains in modern computer architectures. The algorithms and accompanying numerical examples are given in the programming environment MATLAB, and additionally ¿ in an appendix ¿ in the future-oriented, freely accessible programming language Julia. This book is suitable for a two-hour lecture on numerical linear algebra from the second semester of a bachelor's degree in mathematics.
Über den Autor
Folkmar Bornemann is Professor for Numerical Analysis and Scientific Computing at the Technical University of Munich.
Zusammenfassung

Interactive, compact textbook with links to interesting contributions.

Introduces algorithmic-numerical thinking using the linear algebra to students of mathematics from the second semester onwards.

Offers a focused introduction to error analysis and perturbation theory.

Includes complete programs and numeric examples in MATLAB and Julia.

Inhaltsverzeichnis
Preface.- I Computing with Matrices.- II Matrix Factorization.- III Error Analysis.- IV Least Squares.- V Eigenvalue Problems.- Appendix.- Notation.- Index.
Details
Erscheinungsjahr: 2018
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Springer Undergraduate Mathematics Series
Inhalt: x
153 S.
1 farbige Illustr.
153 p. 1 illus. in color.
ISBN-13: 9783319742212
ISBN-10: 3319742213
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Bornemann, Folkmar
Übersetzung: Simson, Walter
Auflage: 1st ed. 2018
Hersteller: Springer International Publishing
Springer International Publishing AG
Springer Undergraduate Mathematics Series
Maße: 235 x 155 x 10 mm
Von/Mit: Folkmar Bornemann
Erscheinungsdatum: 28.02.2018
Gewicht: 0,26 kg
Artikel-ID: 111014080
Über den Autor
Folkmar Bornemann is Professor for Numerical Analysis and Scientific Computing at the Technical University of Munich.
Zusammenfassung

Interactive, compact textbook with links to interesting contributions.

Introduces algorithmic-numerical thinking using the linear algebra to students of mathematics from the second semester onwards.

Offers a focused introduction to error analysis and perturbation theory.

Includes complete programs and numeric examples in MATLAB and Julia.

Inhaltsverzeichnis
Preface.- I Computing with Matrices.- II Matrix Factorization.- III Error Analysis.- IV Least Squares.- V Eigenvalue Problems.- Appendix.- Notation.- Index.
Details
Erscheinungsjahr: 2018
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Springer Undergraduate Mathematics Series
Inhalt: x
153 S.
1 farbige Illustr.
153 p. 1 illus. in color.
ISBN-13: 9783319742212
ISBN-10: 3319742213
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Bornemann, Folkmar
Übersetzung: Simson, Walter
Auflage: 1st ed. 2018
Hersteller: Springer International Publishing
Springer International Publishing AG
Springer Undergraduate Mathematics Series
Maße: 235 x 155 x 10 mm
Von/Mit: Folkmar Bornemann
Erscheinungsdatum: 28.02.2018
Gewicht: 0,26 kg
Artikel-ID: 111014080
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