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Geometriekalküle by Jürgen Richter-Gebert, Thorsten Orendt

Geometriekalküle

by Jürgen Richter-Gebert , Thorsten Orendt
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Book cover type: Paperback
  • ISBN13: 9783642025297
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 224
  • Original Price: EUR 32.7
  • Language: German
  • Edition: 2009
  • Item Weight: 477 grams
  • BISAC Subject(s): Geometry / General

Wie kann man geometrische Objekte und Operationen so darstellen, dass sie durch m�glichst einfache algebraische Manipulationen verarbeitet werden k�nnen? Dies ist die Leitfrage dieses Buches, welche im Verlauf von insgesamt 12 Kapiteln von verschiedenen Seiten beleuchtet wird. Unter diesem Blickwinkel werden Einf�hrungen in projektive Geometrie, geometrische Invariantentheorie, Euklidische Geometrie (unter besonderer Ber�cksichtigung komplexer Zahlen) M�biusgeometrie, und Lie'sche Kreisgeometrie gegeben. Hierbei liegt der Schwerpunkt auf Eleganz der Methoden, welche nicht selten automatisch zu eleganten algorithmischen Ans�tzen f�hren. F�r den Leser stellt das Buch eine Br�cke vom Grundwissen in der Linearen Algebra zu modernen (und klassischen) Ans�tzen der Geometrie dar.

Jürgen Richter-Gebert:

Arbeitsgebiete: Geometrie und Visualisierung, Automatisches Beweisen in der Geometrie, kombinatorische Geometrie, dynamische Geometrie.

Professionelle Aktivitäten: Leiter des Lehrstuhls Geometrie und Visualisierung am Zentrum Mathematik der TU München, Autor der preisgekrönten Geometriesoftware Cinderella. Initiator der Mathematikausstellung ix-quadrat und des Web Portals Mathe-Vital

Auszeichnungen:

Mit Cinderella: European Academic Software Award (EASA 2000), Multimedia Innovationspreis, Deutscher Bildungssoftwarepreis (digita 2001), uvm.

Mit Mathe-Vital: Gewinner des Mediendidaktischen Hochschulopreises Medidaprix 2008

Thorsten Orendt:

Arbeitsgebiete: Geometrische Invariantentheorie, dynamische Geometrie, Wissenschaftliches Rechnen.

Professionelle Aktivitäten: Promoviert bei Richter-Gebert. Mitwirkung bei Mathe-Vital.

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