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Erläuterte Formeln der ebenen und räumlichen Geometrie: Praxelius-Formelsammlung

Erläuterte Formeln der ebenen und räumlichen Geometrie: Praxelius-Formelsammlung

          
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About the Book

Fachbuch aus dem Jahr 2015 im Fachbereich Mathematik - Geometrie, Sprache: Deutsch, Abstract: Was bietet dieses Buch? 319 Seiten, 520 Formeln, 149 Zeichnungen und Bilder, 15 Tabellen Geometrische Grundlagen, Zusammenhänge, Herleitungen, mathematische Erläuterungen. Die Formeln vieler geometrischer Figuren und Körper sind in diesem Buch zusammengefasst und erläutert. Es handelt sich in der Hauptsache um Kreise, Dreiecke, Vierecke und andere Polygone in der Ebene und in räumlichen Gebilden. Hier werden die mathematischen und geometrischen Hintergründe angegeben, die den Formeln zugrunde liegen. Aus Platzgründen können nicht alle allgemein bekannten Formeln erwähnt werden, hier werden insbesondere die Formeln aufgeführt, deren mathematischer Hintergrund erläutert werden muss. Zur Erläuterung der Formeln werden die Grundlagen, Lehrsätze, Begriffe und Definitionen der ebenen Geometrie und der Trigonometrie sowie die Berechnungsmethoden der Vektorrechnung, der sphärischen Trigonometrie und der räumlichen Geometrie erläutert und in der praktischen Anwendung gezeigt. Herleitungen und Beweise werden mit allen Zwischenrechnungen ausführlich dargestellt. Dieses Buch soll kein mathematisches Lehrbuch ersetzen, deshalb werden nur die für das Verständnis der Formeln unbedingt erforderlichen Grundlagen erläutert. Die zwangsläufig verbleibenden Lücken in der Darstellung der Grundlagen werden bewusst in Kauf genommen. Wer tiefer einsteigen will, schlage in der mathematischen Literatur nach. Welche Vorkenntnisse sind erforderlich? Voraussetzung zum Verständnis des Inhalts ist ein gutes mathematisches Grundwissen. Bei den Herleitungen der Formeln werden bekannte Lehrsätze und Formeln verwendet, die vorher schon irgendwo nachvollziehbar bewiesen worden sind. Sie werden als bekannt vorausgesetzt. Für einige Herleitungen wird die Integralrechnung benutzt, die aber für die Anwendung der Formeln nicht nötig ist. Wie findet man die Formeln? Eine Kapitelübersicht und ein ausfü


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Product Details
  • ISBN-13: 9783668001879
  • Publisher: Grin Verlag
  • Binding: Paperback
  • Language: German
  • Returnable: N
  • Spine Width: 19 mm
  • Weight: 426 gr
  • ISBN-10: 3668001871
  • Publisher Date: 28 Aug 2015
  • Height: 210 mm
  • No of Pages: 326
  • Series Title: German
  • Sub Title: Praxelius-Formelsammlung
  • Width: 148 mm


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