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Eigenwerte und Eigenvektoren von Matrizen

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Springer Nature
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N/A
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0
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9783658256616
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Dieses Buch vermittelt in leicht zugnglicher Sprache Wissenswertes ber Eigenwerte und Eigenvektoren quadratischer Matrizen. Da keine Vorkenntnisse vorausgesetzt werden, behandelt Guido Walz zunchst die fr das weitere Verstndnis notwendigen Teile der Vektor- und Matrizenrechnung inklusive der Determinante. Im zentralen Kapitel fhrt der Autor dann Eigenwerte und Eigenvektoren ein und legt Verfahren zu ihrer Berechnung dar. Bercksichtigung finden weiterhin die beiden gngigsten Mglichkeiten, die Vielfachheit eines Eigenwerts zu definieren. Das abschlieende Kapitel ist der Behandlung symmetrischer Matrizen gewidmet, da diese in Bezug auf Eigenwerte und -vektoren bemerkenswerte Eigenschaften haben; insbesondere wird die Diagonalisierung symmetrischer Matrizen behandelt. Zahlreiche Beispiele machen die behandelten Themen leicht verstndlich. Der Autor: Dr. Guido Walz ist Professor fr Angewandte Mathematik an der Wilhelm-Bchner-Hochschule Darmstadt und Dozent an der Dualen Hochschule Baden-Wrttemberg, Herausgeber des fnfbndigen Lexikon der Mathematik sowie Autor zahlreicher Fachverffentlichungen und Lehrbcher, z.B. Mathematik fr Fachhochschule und duales Studium.

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