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Birkhauser Lineare Algebra und Analytische Geometrie: Ein Lehrbuch für Physiker und Mathematiker (Grundstudium Mathematik)

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Description

Die ersten funf Kapitel dieses neuen Lehrbuchs entsprechen nach Inhalt und Methode dem Standard einer modernen Vorlesung uber Lineare Algebra. Der Leser gelangt aber nachher direkt zu den grundlegenden Aussagen der Linearen Algebra bei Ringen. Die Darstellung ist von Anfang an anschaulich und geometrisch, sie schreitet behutsam voran in der Abstraktion. In dem Kapitel uber projektive Geometrie findet man im reellen und komplexen Fall Diskussionen der projektiven Rc$ume und Quadriken, die inhaltsreich und wesentlich fur die heutige Geometrie sind. Physiker finden eine Diskussion von Quaternionen, Pauli-Matrizen, orthogonalen und unitC$ren Gruppen sowie der Lorentzgruppe und ihrer Spinordarstellung. Die Lorentzgruppe wird durch ein KausalitC$tsprinzip charakterisiert. Die topologische Beschreibung der Quadriken und die Charakterisierung der Lorentzgruppe finden sich in anderen Lehrbuchern nicht, die ErklC$rung der Lie-Theorie der niederdimensionalen klassischen Gruppen nur in hC6heren Lehrbuchern. Die wichtigen und schC6nen klassischen Formeln fur symmetrische Polynome im Zusammenhang mit IdentitC$ten fur Endomorphismen stehen kaum anderswo so geschickt beieinander.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
13 October 2004
Listed Since
03 May 2007

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