Analytische Geometrie Book by Gerd Fischer - Bookswagon
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Analytische Geometrie

Analytische Geometrie


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About the Book

Dieser Band enthält Anwendungen der linearen Algebra auf geometrische Fragen. Ausgehend von affinen Unterräumen in Vektorräumen werden allgemeine affine Räume eingeführt, und es wird gezeigt, wie sich geometrische Probleme mit algebraischen Hilfsmitteln behandeln lassen. Ein Kapitel über lineare Optimierung befasst sich mit Systemen linearer Ungleichungen. Mit Hilfe der elementaren Theorie konvexer Mengen kann man die Optimierung eines linearen Funktionals auf die Lösung linearer Gleichungssysteme zurückführen. Anschließend wird der für praktische Anwendungen so wichtige Simplex-Algorithmus abgeleitet. Besonderer Wert wird dabei auf einen Einblick in die geometrischen Zusammenhänge gelegt. Durch den projektiven Abschluss affiner Räume enthält man den angemessenen Rahmen für das Studium von Sätzen aus der klassischen Geometrie. Durch viele Zeichnungen, Beispiele und Übungsaufgaben wird versucht, das Lesers Liebe zur Geometrie zu vertiefen.
About the Author: Prof. Dr. em. Gerd Fischer war viele Jahre Professor für Mathematik an der Universität Düsseldorf. Er ist jetzt Gastprofessor an der Fakultät für Mathematik der TU München.
Gerd Fischer ist Autor zahlreicher erfolgreicher Lehrbücher, u.a. der Linearen Algebra (vieweg studium - Grundkurs Mathematik).


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Product Details
  • ISBN-13: 9783528672355
  • Publisher: Vieweg+teubner Verlag
  • Publisher Imprint: Vieweg+teubner Verlag
  • Edition: 0007-7., Durchges. A
  • Language: German
  • Returnable: N
  • Spine Width: 12 mm
  • Weight: 281 gr
  • ISBN-10: 3528672358
  • Publisher Date: 29 Oct 2001
  • Binding: Paperback
  • Height: 203 mm
  • No of Pages: 215
  • Series Title: Vieweg Studium; Grundkurs Mathematik
  • Sub Title: Eine Einführung Für Studienanfänger
  • Width: 127 mm


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