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Home > Mathematics and Science Textbooks > Mathematics > History of mathematics > Abels Beweis
Abels Beweis

Abels Beweis


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About the Book

Aus den Rezensionen zur englischen Auflage:

"Die Leser von Pesics faszinierendem kleinen Buch werden zu dem unausweichlichen Urteil kommen: Niels [Henrik] Abel hat sich der Genialität im fünften Grade schuldig gemacht."

William Dunham, Muhlenberg College und Autor von "Journey through Genius: The Great Theorems of Mathematics

"Peter Pesic schreibt über Abels Werk mit Begeisterung und Einfühlungsvermögen, und ruft Erinnerungen an die großartigen Momente in der Entwicklung der Algebra wach."

Barry Mazur, Gerhard Gade University Professor, Harvard University

"Ein einzigartiges Buch. Peter Pesics Chronik des langen Weges der Mathematiker zum Verständnis, wann eine Gleichung gelöst werden kann - und wann nicht - ist amüsant, einleuchtend und leserfreundlich. Der Autor bemüht sich sehr, auch weniger bekannte Namen wie Viète und Ruffini gebührend zu würdigen und verlangt von seinen Lesern nicht mehr als Basiswissen in der Algebra - wovon ein Großteil angenehmerweise getrennt vom Haupttext plaziert wurde."

Tony Rothman, Department of Physics, Bryn Mawr College

"Peter Pesics Geschichte über die Entstehung der Mathematik ist genauso spannend wie ein Roman."

Economist



Table of Contents:
Der Skandal des Irrationalen.- Kontroversen und Koeffizienten.- Unmögliches und Imaginäres.- Kreise und Küsten.- Vertauschungen und Enttäuschungen.- Abels Beweis.- Abel und Galois.- Symmetrien sehen.- Die Ordnung der Dinge.- Das Unlösbare lösen.

Review :

Aus den Rezensionen:

"... Der Autor konzentriert sich auf die umstrittene Entwicklung der Algebra - der sogar Newton widerstand - und der allmählichen Anerkennung ihres Nutzens und ihrer Schönheit in der Abstraktion, die Realitäten in Dimensionen jenseits menschlicher Erfahrung zu beschwören scheint. Der Autor erzählt diese Geschichte hauptsächlich als eine Geschichte der Ideen; mathematische Details werden außerhalb des Haupttextes ausgeführt. Das Buch enthält auch eine neue, kommentierte Übersetzung von Abels originalem Beweis ..."

(in: MATHDI, 2006)


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Product Details
  • ISBN-13: 9783540222859
  • Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
  • Publisher Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • Height: 216 mm
  • No of Pages: 224
  • Returnable: N
  • ISBN-10: 3540222855
  • Publisher Date: 19 Apr 2005
  • Binding: Hardback
  • Language: German
  • Returnable: N
  • Width: 140 mm


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