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Geometriekalkle

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Brand
Springer Nature
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N/A
Part Number
0
GTIN
9783642025303
Condition
New
Product Description

Wie kann man geometrische Objekte und Operationen so darstellen, dass sie durch mglichst einfache algebraische Manipulationen verarbeitet werden knnen? Dies ist die Leitfrage dieses Buches, welche im Verlauf von insgesamt 12 Kapiteln von verschiedenen Seiten beleuchtet wird. Unter diesem Blickwinkel werden Einfhrungen in projektive Geometrie, geometrische Invariantentheorie, Euklidische Geometrie (unter besonderer Bercksichtigung komplexer Zahlen) Mbiusgeometrie, und Liesche Kreisgeometrie gegeben. Hierbei liegt der Schwerpunkt auf Eleganz der Methoden, welche nicht selten automatisch zu eleganten algorithmischen Anstzen fhren. Fr den Leser stellt das Buch eine Brcke vom Grundwissen in der Linearen Algebra zu modernen (und klassischen) Anstzen der Geometrie dar. Neben zahlreichen bungsaufgaben, Abbildungen und im Internet verfgbaren interaktiven Visualisierungen wird jedes Kapitel durch einen Exkurs" ergnzt, der Einblicke in Anwendungen oder weiterfhrende Themen gibt. Das Buch richtet sich an Studierende und Dozenten der Mathematik, Informatik und Physik ab dem dritten Semester.

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