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Geometrie Und Ihre Anwendungen in Kunst, Natur Und Technik

Geometrie Und Ihre Anwendungen in Kunst, Natur Und Technik


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About the Book

Die "Geometrie und ihre Anwendungen" ist für Personen geschrieben, die von relativ einfachen Problemen der ebenen Geometrie bis hin zu schwierigeren Aufgaben der Raumgeometrie Interesse an geometrischen Zusammenhängen haben. Ähnlich wie beim "mathematischen Werkzeugkasten" stehen Anwendungen aus verschiedenen Disziplinen wie dem Ingenieurwesen, der Biologie, Physik, Astronomie, Geografie, Fotografie, Kunstgeschichte, ja sogar der Musik im Vordergrund.

Die Anwendungsbeispiele veranschaulichen wichtige Begriffe der Geometrie wie Normalprojektion und Zentralprojektion, Krümmung von Kurven und Flächen, der Geometrie der Bewegung und sogar der Geometrie nichteuklidischer Räume. Stets hat die Raumvorstellung Vorrang. Das Buch kann daher auch von Personen ohne spezielle mathematische Vorbildung gelesen werden. Damit aber auch mathematisch Versierte nicht zu kurz kommen, wird ein analytisches Konzept mitgeliefert.

Zwei praktische Kurse runden das Werk ab: zum geometrischen Freihandzeichnen und zur Geometrie des Fotografierens. Leicht verständliche Tipps sollen den Leser zur Fähigkeit hinführen, selbstständig prägnante und korrekte Raumskizzen zu machen, die der Schlüssel für alles tiefere Verständnis in der Geometrie sind. Dass geometrische Einsichten wiederum auch förderlich für Ästhetik und Aussagekraft von Fotos sind, beweisen nicht zuletzt Hunderte von Fotos in allen Kapiteln.

Der Leser kann, je nach Vorbildung, an den verschiedensten Stellen beginnen. Durch Querverweise ist der Zusammenhang mit anderen Abschnitten rasch hergestellt.

Die vierte Auflage ist gegenüber der dritten Auflage noch einmal um nahezu 200 Seiten ergänzt worden und enthält neben vielen neuen Anwendungsbeispielen zusätzliche neue Kapitel, etwa über optische Täuschungen und Fraktale.



About the Author:

Dr. Georg Glaeser ist Professor für Mathematik und Geometrie an der Universität für angewandte Kunst in Wien und Autor zahlreicher Bücher im Bereich der Geometrie, Mathematik und Evolutionsbiologie. Im selben Verlag hat er den mathematischen Werkzeugkasten (5. Aufl.), Bilder der Mathematik (zusammen mit Konrad Polthier), Bücher über Kegelschnitte und Quadriken (The Universe of Conics, The Universe of Quadrics) und diverse Bücher über Evolutionsbiologie (z.B. Die Evolution des Auges) veröffentlicht.


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Product Details
  • ISBN-13: 9783662643822
  • Publisher: Springer
  • Publisher Imprint: Springer Spektrum
  • Language: German
  • Returnable: Y
  • ISBN-10: 3662643820
  • Publisher Date: 14 Apr 2022
  • Binding: Hardback
  • No of Pages: 712
  • Weight: 750 gr


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