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Linear Algebra via Exterior Products
Taschenbuch von Sergei Winitzki
Sprache: Englisch

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Beschreibung
This is a pedagogical introduction to the coordinate-free approach in basic finite-dimensional linear algebra. The reader should be already exposed to the array-based formalism of vector and matrix calculations. This book makes extensive use of the exterior (anti-commutative, "wedge") product of vectors. The coordinate-free formalism and the exterior product, while somewhat more abstract, provide a deeper understanding of the classical results in linear algebra. Without cumbersome matrix calculations, this text derives the standard properties of determinants, the Pythagorean formula for multidimensional volumes, the formulas of Jacobi and Liouville, the Cayley-Hamilton theorem, the Jordan canonical form, the properties of Pfaffians, as well as some generalizations of these results.
This is a pedagogical introduction to the coordinate-free approach in basic finite-dimensional linear algebra. The reader should be already exposed to the array-based formalism of vector and matrix calculations. This book makes extensive use of the exterior (anti-commutative, "wedge") product of vectors. The coordinate-free formalism and the exterior product, while somewhat more abstract, provide a deeper understanding of the classical results in linear algebra. Without cumbersome matrix calculations, this text derives the standard properties of determinants, the Pythagorean formula for multidimensional volumes, the formulas of Jacobi and Liouville, the Cayley-Hamilton theorem, the Jordan canonical form, the properties of Pfaffians, as well as some generalizations of these results.
Details
Erscheinungsjahr: 2009
Genre: Technik allg.
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9781409294962
ISBN-10: 140929496X
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Winitzki, Sergei
Hersteller: Lulu Press, Inc.
Maße: 229 x 152 x 17 mm
Von/Mit: Sergei Winitzki
Erscheinungsdatum: 30.07.2009
Gewicht: 0,468 kg
Artikel-ID: 123765073
Details
Erscheinungsjahr: 2009
Genre: Technik allg.
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9781409294962
ISBN-10: 140929496X
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Winitzki, Sergei
Hersteller: Lulu Press, Inc.
Maße: 229 x 152 x 17 mm
Von/Mit: Sergei Winitzki
Erscheinungsdatum: 30.07.2009
Gewicht: 0,468 kg
Artikel-ID: 123765073
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