G. Lejeune Dirichlet's Werke
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G. Lejeune Dirichlet's Werke: (Cambridge Library Collection - Mathematics)

G. Lejeune Dirichlet's Werke: (Cambridge Library Collection - Mathematics)


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About the Book

The great nineteenth-century mathematician Peter Gustav Lejeune Dirichlet (1805–59) studied in Paris, coming under the influence of scholars including Fourier and Legendre. He then taught at Berlin and Göttingen universities, where he was the successor to Gauss and mentor to Riemann and Dedekind. His achievements include the first satisfactory proof of the convergence of Fourier series under appropriate conditions, and the theorem on primes in arithmetic progression which was, at the same time, the foundation of analytic number theory and one of its greatest achievements. He also did important work on Laplace's equation, the theory of series and many other topics. This two-volume collection of his works, published 1889–97, was compiled by Leopold Kronecker (1823–91). Volume 2 was completed by Lazarus Fuchs (1833–1902) and contains Dirichlet's publications from 1844 onwards, together with some unpublished papers and selected correspondence with Gauss, Alexander von Humboldt and Kronecker.

Table of Contents:
Vorwort; 1. Ueber die Stabilität des Gleichgewichts; 2. Sur un moyen général de vérifier l'expression du potentiel relatif à une masse quelconque, homogène ou hétérogène; 3. Ueber die charakteristischen Eigenschaften des Potentials einer auf einer oder mehreren endlichen Flächen vertheilten Masse; 4. Ueber die Reduction der positiven quadratischen Formen mit drei unbestimmten ganzen Zahlen; 5. Ueber die Reduction der positiven quadratischen Formen mit drei unbestimmten ganzen Zahlen; 6. Ueber die Bestimmung der mittleren Werthe in der Zahlentheorie; 7. Ueber einen neuen Ausdruck zur Bestimmung der Dichtigkeit einer unendlich dünnen Kugelschale, wenn der Werth des Potentials derselben in jedem Punkte ihrer Oberfläche gegeben ist; 8. Ueber die Zerlegbarkeit der Zahlen in drei Quadrate; 9. Ueber ein die Division betreffendes Problem; 10. De formarum binariarum secundi gradus compositione; 11. Ueber die Bewegung eines festen Körpers in einem incompressibeln flüssigen Medium; 12. Ueber den ersten der von Gauss gegebenen Beweise des Reciprocitätsgesetzes in der Theorie der quadratischen Reste; 13. Vereinfachung der Theorie der binären quadratischen Formen von positiver Determinante; 14. Simplification de la théorie des formes binaires du second degré à déterminant positif; 15. Ueber eine Eigenschaft der quadratischen Formen von positiver Determinante; 16. Sur une propriété des formes quadratiques à déterminant positif; 17. Sur un théorème relatif aux séries; 18. Sur l'équation t2+u2+v2+w2=4m; 19. Démonstration nouvelle d'une proposition relative à la théorie des formes quadratiques; 20. Untersuchungen über ein Problem der Hydrodynamik; 21. Nachricht über Jacobi's wissenschaftlichen Nachlass; 22. Gedächtnissrede auf Carl Gustav Jacob Jacobi; 23. Auszüge aus den Monatsberichten der Akademie der Wissenschaften zu Berlin; 24. Ueber den biquadratischen Charakter der Zahl 'Zwei'; 25. Untersuchungen über ein Problem der Hydrodynamik; 26. Démonstration d'un théorème d'Abel; 27. Gedächtnissrede auf Gustav Peter Lejeune Dirichlet von E. E. Kummer; 28. Mémoire sur la géométrie des Hindous; 29. Bemerkungen über die zweckmässigste Art, Beobachtungen zur Bestimmung unbekannter Elemente zu verbinden; 30. Note sur un théorème d'analyse indéterminée; 31. Démonstration du théorème de Bernoulli; 32. Preisfrage der physikalisch-mathematischen Klasse der Königlich-Preussischen Akademie der Wissenschaften zur Jubelfeier des Regierungsantritts Königs Friedrichs II. auf das Jahr 1844; 33. Ueber die Quadratur des Kreises; 34. Entwurf zu einer akademischen Rede; 35. Ueber einen von Lejeune Dirichlet herrührenden Beweis aus der Wahrscheinlichkeitsrechnung; 36. Briefwechsel zwischen Lejeune Dirichlet und Gauss; 37. Briefwechsel zwischen Lejeune Dirichlet und Kronecker; 38. Auszug aus dem Briefwechsel zwischen Alexander von Humboldt und G. Lejeune Dirichlet; 39. Bemerkung zu Dirchlet's Werken von Herrn R. Dedekind; 40. Bemerkung des Herrn H. Weber; 41. Verzeichniss der Uebersetzungen Dirichlet'scher Abhandlungen, die nicht in die Gesammelten Werke aufgenommen worden sind.


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Product Details
  • ISBN-13: 9781108050418
  • Publisher: Cambridge University Press
  • Publisher Imprint: Cambridge University Press
  • Height: 244 mm
  • No of Pages: 438
  • Returnable: N
  • Returnable: N
  • Series Title: Cambridge Library Collection - Mathematics
  • Weight: 690 gr
  • ISBN-10: 1108050417
  • Publisher Date: 14 Jun 2012
  • Binding: Paperback
  • Language: German
  • Returnable: N
  • Returnable: N
  • Series Title: Cambridge Library Collection - Mathematics
  • Spine Width: 23 mm
  • Width: 170 mm


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