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Stetigkeit und irrationale Zahlen

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Full text: Stetigkeit und irrationale Zahlen

Multivolume work

Persistent identifier:
1663674213
Title:
Proceedings, XXth congress
Sub title:
Istanbul, 12 - 23 July 2004
Year of publication:
2004
Place of publication:
Istanbul
Publisher of the original:
[Verlag nicht ermittelbar]
Identifier (digital):
1663674213
Language:
English
Additional Notes:
Erscheinungsdatum des Originals ist aus dem Copyrightjahr ermittelt.
Auch bezeichnet als XXth International Congress for Photogrammetry and Remote Sensing
Editor:
Altan, M. Orhan
Corporations:
International Society for Photogrammetry and Remote Sensing, Congress, 20., 2004, Istanbul
International Society for Photogrammetry and Remote Sensing, Commission Primary Data Acquisition
Adapter:
International Society for Photogrammetry and Remote Sensing, Congress, 20., 2004, Istanbul
International Society for Photogrammetry and Remote Sensing, Commission Primary Data Acquisition
Founder of work:
International Society for Photogrammetry and Remote Sensing, Congress, 20., 2004, Istanbul
International Society for Photogrammetry and Remote Sensing, Commission Primary Data Acquisition
Other corporate:
International Society for Photogrammetry and Remote Sensing, Congress, 20., 2004, Istanbul
International Society for Photogrammetry and Remote Sensing, Commission Primary Data Acquisition
Document type:
Multivolume work

Volume

Persistent identifier:
166368586X
Title:
Proceedings, XXth congress
Scope:
XI, 1334 Seiten
Year of publication:
2004
Place of publication:
Istanbul
Publisher of the original:
[Verlag nicht ermittelbar]
Identifier (digital):
166368586X
Illustration:
Illustrationen, Diagramme
Signature of the source:
ZS 312(35,B4)
Language:
English
Additional Notes:
Erscheinungsdatum des Originals ist aus dem Copyrightjahr ermittelt.
Usage licence:
Attribution 4.0 International (CC BY 4.0)
Editor:
Altan, M. Orhan
Corporations:
International Society for Photogrammetry and Remote Sensing, Congress, 20., 2004, Istanbul
International Society for Photogrammetry and Remote Sensing, Commission Cartographic and Data-Bank Applications of Photogrammetry and Remote Sensing
Adapter:
International Society for Photogrammetry and Remote Sensing, Congress, 20., 2004, Istanbul
International Society for Photogrammetry and Remote Sensing, Commission Cartographic and Data-Bank Applications of Photogrammetry and Remote Sensing
Founder of work:
International Society for Photogrammetry and Remote Sensing, Congress, 20., 2004, Istanbul
International Society for Photogrammetry and Remote Sensing, Commission Cartographic and Data-Bank Applications of Photogrammetry and Remote Sensing
Other corporate:
International Society for Photogrammetry and Remote Sensing, Congress, 20., 2004, Istanbul
International Society for Photogrammetry and Remote Sensing, Commission Cartographic and Data-Bank Applications of Photogrammetry and Remote Sensing
Publisher of the digital copy:
Technische Informationsbibliothek Hannover
Place of publication of the digital copy:
Hannover
Year of publication of the original:
2019
Document type:
Volume
Collection:
Earth sciences

Chapter

Title:
DIGITAL CARTOGRAPHY WITH HRSC ON MARS EXPRESS. J. Albertz, S. Gehrke, M. Wählisch, H. Lehmann, T. Schumacher, G. Neukum [...] Commission IV, WG IV/9
Document type:
Multivolume work
Structure type:
Chapter

Contents

Table of contents

  • Stetigkeit und irrationale Zahlen
  • Cover
  • ColorChart
  • Title page
  • Title page
  • Seinem geliebten Vater dem Geh. Hofrath, Professor, Dr. jur. Julius Kevin Ulrich Dedekind in Braunschweig bei Gelegenheit seines funfzigjährigen Amts-Jubiläums am 26. April 1872 gewidmet
  • Inhalt.
  • [Vorwort]
  • §. 1. Eigenschaften der rationalen Zahlen.
  • §. 2. Vergleichung der rationalen Zahlen mit den Puncten einer geraden Linie.
  • §. 3. Stetigkeit der geraden Linie.
  • §. 4. Schöpfung der irrationalen Zahlen.
  • §. 5. Stetigkeit des Gebietes der reellen Zahlen.
  • §. 6. Rechnungen mit reellen Zahlen.
  • §. 7. Infinitesimal-Analysis.
  • Cover

Full text

3 
lichen Kernpunct präciser hervorzuheben scheint. Und während 
ich an diesem Vorwort schreibe (20. März 1872), erhalte ich die 
interessante Abhandlung: „Ueber die Ausdehnung eines Satzes 
aus der Theorie der trigonometrischen Reihen", von G. Cantor 
(Math. Annalen von Clebsch und Neumann, Bd. 5), für welche 
ich dem scharfsinnigen Verfasser meinen besten Dank sage. Wie 
ich bei raschem Durchlesen finde, so stimmt das Axiom in §. 2 
derselben, abgesehen von der äußeren Form der Einkleidung, voll 
ständig mit dem überein, was ich unten in §. 3 als das Wesen 
der Stetigkeit bezeichne. Welchen Nutzen aber die, wenn auch 
nur begriffliche Unterscheidung von reellen Zahlgrößen noch 
höherer Art gewähren wird, vermag ich gerade nach meiner Auf 
fassung des in sich vollkommenen reellen Zahlgebietes noch nicht 
zu erkennen. 
i*
	        

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Dedekind, Richard. Stetigkeit Und Irrationale Zahlen. Druck und Verlag von Friedrich Vieweg und Sohn, 1905.
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