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Lineare Algebra Und Analytische Geometrie by Rolf Walter

Lineare Algebra Und Analytische Geometrie

by Rolf Walter
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Book cover type: Paperback
  • ISBN13: 9783528185848
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Vieweg+teubner Verlag
  • Publisher Imprint: Vieweg+teubner Verlag
  • Publication Date:
  • Pages: 270
  • Original Price: EUR 42.05
  • Language: German
  • Edition: 2.Aufl. 1993
  • Item Weight: 645 grams
  • BISAC Subject(s): Engineering (General)

Dieses Buch behandelt die lineare und multilineare Algebra sowie die analytische Geome- trie. Es ist entstanden aus entsprechenden Vorlesungen des ersten Studienjahres, die ich mehrfach an den Universitaten Freiburg und Dortmund fUr Mathematiker, Physiker und Studenten mit mathematischem Nebenfach gehalten habe. Der Schwerpunkt dieses Buches liegt auf den weiterfi\hrenden Themen des zweiten Semesters. Jedoch ist die Darstellung weitgehend in sich abgeschlossen, da elementare Kenntnisse oftmals wiederholt und neu begrtindet werden. Ftir die erstmalige Aneignung der Grundlagen sei auf meine "Einftihrung in die line are Algebra" (Vieweg) hingewiesen. Nach algebraischen Vorbereitungen befaBt sich der erste Teil dieses Buches mit allgemeinen Vektorraumen, Normalformen linearer Abbildungen, komplexen Vektordiumen und multilinearer Algebra. Hervorzuheben sind die Diskussion der Codimension, der Brticken- schlag zur Analysis in Gestalt der normierten Vektorraume und die Fundierung der Haupt- achsentransformation mit dem Rayleighschen Extremalprinzip. Bei den komplexen Vektorraumen erfolgt ein elementarer Beweis des "Fundamentalsatzes der Algebra", der im folgenden zutreffender als algebraischer Fundamentalsatz in C bezeichnet wird. Weiter wird die reelle 10rdansche Normalform rnittels des "Durchganges durch Komplexe'- gewonnen. 1m tibrigen sind die komplexen Strukturen so aufgebaut, wie es ein nahtloser AnschluB an die komplexe Analysis auf Mannigfaltigkeiten erfordert.

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