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In 101 Abschnitten Um Die Mathematische Welt

In 101 Abschnitten Um Die Mathematische Welt

          
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About the Book

Das Buch unternimmt den Versuch, mathematisch hungrigen Lesern breitgestreute mathematische Themen teilweise unter etwas anderem Blickwinkel gesehen nicht nur schmackhaft zu machen, sondern auch zu wertvollen neuen Einsichten und Querverbindungen zu verhelfen. Am Beginn stehen stochastische Themen, wo unter anderem detailliert, aber elementar Moivres und Laplaces lokaler Grenzwertsatz samt allem schonen Beiwerk aus der Analysis bewiesen wird. Anschliessend erfolgt ein Schwenk zu diversen Schmankerln aus der Differentialrechnung einer und zwei Variablen, insbesondere wird der Optimierung besondere Bedeutung beigemessen. Hernach geht es auf eine Tour d'horizon durch die (anfangs elementare) Algebra (ebenda werden vor allem binomische Formeln und quadratische Gleichungen sowie das harmonische Mittel behandelt) bis hin zu komplexen Zahlen samt Anwendungen (kulminierend in einem Beweis des Fundamentalsatzes der Algebra). Schliesslich wird auch noch ein ausfuhrlicher Streifzug durch die Geometrie (inkl. einer Einfuhrung in die ebene analytische Geometrie sowie Trigonometrie) unternommen, wo nebst ebenen Kurven, Raumflachen (und daraus gewonnenen Raumkurven) und der Dreiecksgeometrie vor allem die vier- und teilweise noch hoherdimensionale Geometrie nach behutsamer Herantastung an diverse neue abstrakte Begriffe zu ausserst verbluffenden Erkenntnissen fuhren wird.


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Product Details
  • ISBN-13: 9783832538095
  • Publisher: Logos Verlag Berlin
  • Binding: Paperback
  • Language: German
  • Returnable: N
  • Spine Width: 0 mm
  • Width: 169 mm
  • ISBN-10: 3832538097
  • Publisher Date: 15 Oct 2014
  • Height: 240 mm
  • No of Pages: 287
  • Series Title: German
  • Weight: 700 gr


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