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Beschreibung
Deals with the most basic notion of linear algebra, to bring emphasis on approaches to the topic serving at the elementary level and more broadly. A typical feature is where computational algorithms and theoretical proofs are brought together. Another is respect for symmetry, so that when this has some part in the form of a matter it should also be reflected in the treatment. Issues relating to… computational method are covered. These interests may have suggested a limited account, to be rounded-out suitably. However this limitation where basic material is separated from further reaches of the subject has an appeal of its own. To the `elementary operations' method of the textbooks for doing linear algebra, Albert Tucker added a method with his `pivot operation'. Here there is a more primitive method based on the `linear dependence table', and yet another based on `rank reduction'. The determinant is introduced in a completely unusual upside-down fashion where Cramer's rule comes first. Also dealt with is what is believed to be a completely new idea, of the `alternant', a function associated with the affine space the way the determinant is with the linear space, with n +1 vector arguments, as the determinant has n . Then for affine (or barycentric) coordinates we find a rule which is an unprecedented exact counterpart of Cramer's rule for linear coordinates, where the alternant takes on the role of the determinant. These are among the more distinct or spectacular items for possible novelty, or unfamiliarity. Others, with or without some remark, may be found scattered in different places. 53,49 €
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Technische Daten
Erscheinungsdatum
23.10.2012
Sprache
Englisch
EAN
9781461369196
Herausgeber
Springer US
Sonderedition
Nein
Autor
Sydney N. Afriat
Seitenanzahl
175
Einbandart
Broschiert
Buch Untertitel
Theory and Computation
Schlagwörter
algebra, algorithms, linear algebra, matrices, quadratic form, matrix theory
Thema-Inhalt
PBF - Algebra
PBKS - Numerische Mathematik
PBW - Angewandte Mathematik
UYA - Theoretische Informatik
Höhe
229 mm
Breite
15.2 cm
Transparenz & Sicherheit
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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