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Theorie Und Anwendung Der Unendlichen Reihen

Theorie Und Anwendung Der Unendlichen Reihen

          
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About the Book

Das Fundament, auf dem das Gebaude der hoheren Analysis ruht, ist die Lehre von den reellen Zahlen. Unausweichlich hat jede strenge Behandlung der Grundlagen der Differential- und Integralrechnung und der anschlieBenden Gebiete, ja selbst schon die strenge Behand- lung etwa der Wurzel-oder Logarithmenrechnung hier ihren Ausgangs- punkt zu nehmen. Sie erst schafft das Material. in dem dann Arithmetik und Analysis fast ausschlieBlich arbeiten, mit dem sie bauen konnen. Nicht von jeher war das Geftihl flir diese Notwendigkeit vorhanden. Die groBen Schopfer der Infinitesimalrechnung - LEIBNIZ und NEWfONl - und die nicht weniger groBen Ausgestalter derselben, 2 unter denen vor aHem EULER zu nennen ist, waren zu berauscht von dem gewaltigen Erkenntnisstrom, der aus den neu erschlossenen Quellen floB, als daB sie sich zu einer Kritik der Grundlagen veranlaBt fiihlten. Der Erfolg der neuen Methode war ihnen eine hinreichende Gewlihr fUr die Tragfestigkeit ihres Fundamentes. Erst als jener Strom abzuebben begann, wagte sich die kritische Analyse an die Grund- begriffe: etwa urn die Wende des 18. Jahrhunderts, vor aHem unter 3 dem machtigen EinfluB von GAUSS wurden solche Bestrebungen starker und sHirker. Aber es wahrte noch fast ein Jahrhundert, ehe hier die wesentlichsten Dinge als vollig geklart angesehen werden durften.


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Product Details
  • ISBN-13: 9783642493775
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Edition: 0005-
  • Language: German
  • Returnable: Y
  • Spine Width: 31 mm
  • Width: 156 mm
  • ISBN-10: 3642493777
  • Publisher Date: 01 Jan 1964
  • Binding: Paperback
  • Height: 234 mm
  • No of Pages: 582
  • Series Title: Grundlehren Der Mathematischen Wissenschaften
  • Weight: 824 gr


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