Lineare Algebra: Ein geometrischer Zugang / Edition 1

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Dieses Buch bietet Studenten mit Nebenfach Mathematik eine praktische Einführung in die lineare Algebra. Großer Wert wird auf geometrische Erklärungen und numerische Anwendungen gelegt. Zahlreiche Beispiele bringen Praxisnähe; auf detaillierte Beweise wird verzichtet. Beide Autoren sind Experten auf dem Gebiet des computergestützten Modellierens; viele Anwendungen kommen aus diesem Gebiet.

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Editorial Reviews

From the Publisher
From the reviews:

"This book is a translation of The geometry toolbox for graphics and modeling … and offers a soft introduction into linear algebra and analytic geometry aiming at first year students of engineering and computer science. … Each chapter is supplemented with exercises, some of which are solved in an appendix." (R. Steinbauer, Monatshefte für Mathematik, Vol. 145 (4), 2005)

"The book offers a nice introduction into linear algebra starting from a Euclidean point of view. … The book is written in a very clear and geometric style. Many examples (including solutions) foster the understanding of the presented topics. This excellent book can be recommended to students of the first semesters, if they want to get familiar with a geometric approach to linear algebra." (O. Röschel, Internationale Mathematische Nachrichten, Issue 197, 2004)

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Product Details

  • ISBN-13: 9783540418542
  • Publisher: Springer Berlin Heidelberg
  • Publication date: 3/14/2003
  • Language: German
  • Series: Springer-Lehrbuch Series
  • Edition description: 2003
  • Edition number: 1
  • Pages: 322
  • Product dimensions: 9.21 (w) x 6.14 (h) x 0.71 (d)

Table of Contents

Descartes' Entdeckungen.- Hier und Dort: Punkte und Vektoren in 2D.- Geraden in 2D.- Lineare Abbildungen in 2D.- Lineare Systeme der Dimension 2x2.- Wir bewegen Dinge: Affine Abbildungen.- Eigenwerte und Eigenvektoren. Teile des Ganzen: Dreiecke.- Kegelschnitte.- 3D-Geometrie.- Begegnungen in 3D.- Lineare Abbildungen in 3D.- Affine Abbildungen in 3D.- Lineare Systeme in allgemeiner Form.- Streckenzüge und Polygone.- Kurven.- Postscript Tutorial.- Lösungen ausgewählter Probleme.

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    Posted March 29, 2012

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