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Im Reich der Geometrie, Teil II: Räumliche Geometrie

Im Reich der Geometrie, Teil II: Räumliche Geometrie

          
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About the Book

Räumliche Geometrie ist die Geometrie unseres natürlichen Lebensraumes, oder, wie E. Colerus sagt: "Die ganze Welt ist Geometrie." Gleichwohl gibt es nichts Praktischeres als eine gediegene Theorie, wenn es um das Erkennen und Verstehen der in der Geographie, der Biologie, der in Technik und Kunst versteckten Geometrie gehen soll. Der Schulunterricht zur räumlichen Geometrie umfasst auf Sekundarstufe I die Vorstellung geometrischer Körper und einschlägige Berechnungen, insbesondere die von Rauminhalten, und auf Sekundarstufe II die dreidimensionale Koordinaten- und Vektorengeometrie, allerdings meist nicht als eine Geometrie "zum Anfassen", sondern als reine Rechenübung und losgelöst von konkreten Problemstellungen. Das hat u. a. mit Vorstellungsschwierigkeiten zu tun und weil auch die Werkzeuge für eine konstruktive Behandlung räumlicher Gegebenheiten nicht zur Verfügung stehen. Diesen Mängeln versucht dieses Buch durch Einbeziehung von Inhalten der Darstellenden Geometrie (DG) zu begegnen, was auch das Anfertigen von Modellen mit einschließt und der "Begreifbarkeit" zugute kommen sollte. Sicher lässt sich aus dem Buch aber auch dann Gewinn ziehen, wenn die handwerklich-konstruktive Komponente außer Acht gelassen und das Zustandekommen der Zeichnungen nicht nachvollzogen wird. Neben dem Auffrischen und Festigen von Schulwissen können Einsichten gewonnen werden, die über die Schulgeometrie ein gutes Stück hinausgehen: Die enge Verflechtung von Algebra und Geometrie auch im dreidimensionalen und nichtlinearen Bereich, Erzeugung und Eigenschaften verschiedener Flächengattungen, wie z. B. Schieb-, Schraub- und Strahlflächen, sowie deren Vorkommen "im täglichen Leben", Anwendungen der "reinen Lehre" auf geographische Phänomene, etwa die Sonnendeklination und die "Mitternachtssonne", sowie in der Baugeometrie, wo quer durch Europa spezifische Beispiele aufgezeigt und kommentiert werden.


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Product Details
  • ISBN-13: 9783839155936
  • Publisher: Books on Demand
  • Binding: Paperback
  • Language: German
  • Returnable: N
  • Spine Width: 11 mm
  • Weight: 381 gr
  • ISBN-10: 3839155932
  • Publisher Date: 07 Jun 2010
  • Height: 254 mm
  • No of Pages: 214
  • Series Title: German
  • Sub Title: Räumliche Geometrie
  • Width: 178 mm


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