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Leonhard Euler 1707–1783: Beiträge zu Leben und Werk(German)

Leonhard Euler 1707–1783: Beiträge zu Leben und Werk(German)

          
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About the Book

Das vorliegende Buch ist keine Festschrift im gewohnten Sinne, d. h. keine mehr oder weniger willkurliche Sammlung von Fachabhandlungen ohne wechselseitigen inneren Zusammenhang, sondern es unterliegt einer ganz bestimmten Konzeption: Die hier vereinigten Beitdige sollen Leben und Werk Leonhard Eulers etwa im MaBstab seiner breitgefacherten Aktivitaten in synoptischer Sicht abdecken und die nachhaltige Wirkung seines wissenschaft- lichen Schaff ens auf die heutige Zeit aufzeigen. Das Inhaltsverzeichnis lasst leicht folgende Gliederung des Buches erkennen: Der erste Beitrag steht fUr sich al1ein und solI unter BerUcksichtigung der neuen Forschungen einen Uberblick Uber Leben und Wirken Eulers bieten, der einen weiteren Leser- kreis ansprechen mage. Die nachsten neun Aufsatze (Gelfond bis Schoenberg) umspannen die Gebiete Zahlentheorie, Algebra und Analysis, wahrend die nachfolgenden sechs Beitrage (Speiser bis Fellmann) der Physik gewidmet sind. Den drei Arbeiten zur Astronomie (Cross, Yolk, Nevskaja) schliessen sich sechs Uber Eulers Beziehungen zu Akademien und markanten Einzelpersan- lichkeiten an (Kopelevic bis Jaquel), gefolgt von drei Beitragen zur Philoso- phie, Theologie und Biographie Eulers (Breidert, Raith, Bernoulli). Den Abschluss bilden drei Darstellungen zur Editionsgeschichte der Opera omnia und zur Bibliographie (Biermann, Burckhardt). Jeder Beitrag kann unabhan- gig von der getroffenen Reihenfolge gelesen werden. Einheitlich im ganzen Band werden die BezUge auf die Werke Eulers abgekUrzt zitiert, und zwar in der Reihenfolge: Nummer des Enestram- Verzeichnisses, Serie der Opera omnia, Band, evtl. Seitenangabe. Ein Beispiel mage dies verdeutlichen: E. 65/0. I,24, p. 23lf., verweist auf Eulers Methodus inveniendi lineas curvas . . . im Band 24 der Series prima, Seiten 23lf.

Table of Contents:
Leonhard Euler — Ein Essay über Leben und Werk.- Über einige charakteristische Züge in den Ideen L. Eulers auf dem Gebiet der mathematischen Analysis und in seiner «Einführung in die Analysis des Unendlichen».- L’œuvre Arithmétique d’Euler.- Eulers Beiträge zur partitio numerorum und zur Theorie der Erzeugenden Funktionen.- Eulers Manuskripte zur Zahlentheorie.- L. Euler’s unpublished manuscript Calculus Differentialis.- Euler, d’Alembert et les Fondements de l’Analyse.- Die Nichtstandard-Analysis: Eine Wiederaufnahme der Ideen und Methoden von Leibniz und Euler.- Euler’s Contribution to Cardinal Spline Interpolation: The Exponential Euler splines.- Eulers Schriften zur Optik, zur Elektrizität und zum Magnetismus.- Leonhard Euler und die Entwicklung der Theoretischen Hydraulik im Zweiten Viertel des 18.Jahrhunderts.- Einige Grundlegende Themen in Leonhard Eulers Schiffstheorie.- Eulers Herleitung des Drehimpulssatzes.- Betrachtungen zu Eulers Dioptrik.- Leonhard Eulers Stellung in der Geschichte der Optik.- Euler’s Contributions to Potential Theory 1730–1755.- Eulers Beiträge zur Theorie der Bewegungen der Himmelskörper.- Euler als Astronom.- Leonhard Euler und die Petersburger Akademie.- Euler’s Physics in Russia.- Euler’s Mathematics in French Science, 1795–1815.- Les relations d’Euler avec Lagrange.- Léonard Euler et Gabriel Cramer.- Léonard Euler, son fils Johann Albrecht et leur ami Jean III Bernoulli.- Leonhard Euler und die Philosophie.- Der Vater Paulus Euler. Beiträge zum Verständnis der geistigen Herkunft Leonhard Eulers.- Leonhard Eulers Augenkrankheiten.- Aus der Vorgeschichte der Euler-Ausgabe 1783–1907.- Die Eulerkommission der Schweizerischen Naturforschenden Gesellschaft — ein Beitrag zur Editionsgeschichte.-Euleriana — Verzeichnis des Schrifttums über Leonhard Euler.- Hauptwerke Leonhard Eulers.- Verzeichnis der Abbildungen.- Bildnachweis.


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Product Details
  • ISBN-13: 9783034893510
  • Publisher: Springer Basel
  • Publisher Imprint: Springer Basel
  • Edition: Softcover Reprint of the Origi ed.
  • Language: German
  • Returnable: N
  • Series Title: German
  • Sub Title: Beiträge zu Leben und Werk
  • Width: 170 mm
  • ISBN-10: 3034893515
  • Publisher Date: 17 Mar 2012
  • Binding: Paperback
  • Height: 244 mm
  • No of Pages: 555
  • Returnable: Y
  • Spine Width: 29 mm
  • Weight: 874 gr


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