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Von Eins Bis Neun - Große Wunder Hinter Kleinen Zahlen: Über 100 Mathematische Exkursionen Für Neugierige Und Genießer

Von Eins Bis Neun - Große Wunder Hinter Kleinen Zahlen: Über 100 Mathematische Exkursionen Für Neugierige Und Genießer

          
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About the Book

Eine Schatztruhe mathematischer MiniaturenDieses Buch ist eine Einladung zu einer spannenden Entdeckungsreise. Ausgehend von den einstelligen Zahlen eröffnet Marc Chamberland seinen Lesern den Blick auf eine weite mathematische Landschaft. Warum zeigt ein Skatspiel, das man achtmal perfekt gemischt hat, wieder genau dieselbe Kartenfolge? Sind zwei beliebige Menschen auf der ganzen Erde tatsächlich über eine "Bekanntenkette von sechs Personen" miteinander verbunden? Weshalb lässt sich jede Landkarte mit nur vier Farben so einfärben, dass sich nie zwei Gebiete mit derselben Farbe berühren? Die Zahlen Eins bis Neun erweisen sich als höchst bemerkenswerte mathematische Objekte, von denen aus der Autor ein Netz von Querverbindungen zu verschiedenen Feldern der Mathematik spannt, von der Zahlentheorie über die Geometrie, die Chaostheorie und die numerische Mathematik bis zur mathematischen Physik.Jedes Kapitel ist einer dieser neun Zahlen gewidmet. Zu Beginnstehen stets einfache Problemstellungen; im Verlauf des Kapitels nimmt der Schwierigkeitsgrad zu. Jedes Mal durchstreift Chamberland ein weitläufiges Areal: So ist etwa die Drei ebenso mit der Chaostheorie verknüpft wie mit einem noch ungelösten Problem der ägyptischen Brüche, mit der Anzahl der Aufsichthabenden in einer Kunstgalerie und der Problematik von Wahlergebnissen. Bei der Sieben geht es um Matrizenmultiplikation, die Transsilvanienlotterie, die Synchronisation von Signalen und den Klang einer Trommel. Immer wieder sind auch Rätsel zu lösen wie das der perfekten Quadrate, das Huträtsel oder die Catalan'sche Vermutung. Das Buch ist in viele kurze Abschnitte unterteilt, die man unabhängig lesen und häppchenweise konsumieren kann - was beim Ham-Sandwich-Satz und beim Pizzatheorem durchaus wörtlich genommen werden darf.Mit den über 100 Miniaturen öffnet der Autor eine wahre mathematische Schatztruhe - für Neugierige und Kenner, für Oberstufenschüler wie für Hochschulstudenten, für gestandene Mathematiker ebenso wie für alle, die von Mustern fasziniert sind.


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Product Details
  • ISBN-13: 9783662502501
  • Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
  • Binding: Paperback
  • Height: 235 mm
  • No of Pages: 234
  • Series Title: German
  • Sub Title: Über 100 Mathematische Exkursionen Für Neugierige Und Genießer
  • Width: 155 mm
  • ISBN-10: 366250250X
  • Publisher Date: 22 Aug 2016
  • Edition: 1. Aufl. 2016 ed.
  • Language: German
  • Returnable: Y
  • Spine Width: 13 mm
  • Weight: 354 gr


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Von Eins Bis Neun - Große Wunder Hinter Kleinen Zahlen: Über 100 Mathematische Exkursionen Für Neugierige Und Genießer
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