Lamésche - Mathieusche - und Verwandte Funktionen in Physik und Technik
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Lamésche - Mathieusche - und Verwandte Funktionen in Physik und Technik: Band 3(Erster Band)

Lamésche - Mathieusche - und Verwandte Funktionen in Physik und Technik: Band 3(Erster Band)


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About the Book

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind. Der Verlag stellt mit diesem Archiv Quellen für die historische wie auch die disziplingeschichtliche Forschung zur Verfügung, die jeweils im historischen Kontext betrachtet werden müssen. Dieser Titel erschien in der Zeit vor 1945 und wird daher in seiner zeittypischen politisch-ideologischen Ausrichtung vom Verlag nicht beworben.

Table of Contents:
I. Auftreten der Laméschen, Mathieuschen und verwandter Differentialgleichungen in physikalischen und technischen Problemen.- 1. Transformation der Gleichung ?u + k2u = 0 auf elliptische Koordinaten.- 2. Wellenmechanische Probleme.- 3. Hydrodynamische Probleme.- 4. Mechanische und elektrische Anfangswertprobleme.- II. Hillsche Differentialgleichung.- 1. Die Differentialgleichungen der mathematischen Physik als Sonderfälle der Hillschen Gleichung.- 2. Allgemeine Sätze über die Hillsche Differentialgleichung.- 3. Die Hillsche Differentialgleichung mit beschränkter Funktion ? und mit zwei Parametern.- 4. Auflösung der Hillschen Differentialgleichung.- III. Mathieusche Differentialgleichung.- 1. Allgemeine Auflösung der Mathieuschen Differentialgleichung.- 2. Periodische Lösungen; Mathieusche Funktionen.- 3. Verlauf der Grenzkurven zwischen labilen und stabilen Lösungsgebieten der Mathieuschen Gleichung.- 4. Mathieusche Funktionen zweiter Art.- 5. Mathieusche Gleichung mit einer rein imaginären unabhängigen Veränderlichen.- 6. Allgemeine Bemerkungen über Mathieusche Funktionen.- IV. Lamésche Differentialgleichung.- 1. Lamésche Potentialfunktionen auf einer Ellipsoidfläche.- 2. Lamésche Potentialfunktionen im Raum.- 3. Darstellung der Laméschen Potentialfunktionen.- 4. Lamésche Wellenfunktionen des dreiachsigen Ellipsoidsflache.- 5. Lamésche Wellenfunktionen bei Rotationsellipsoiden.- 6. Allgemeine Bemerkungen über Lamésche Funktionen.- V. Wellenausbreitungsprobleme aus der Physik und aus der Technik..- 1. Beugung einer ebenen elektrischen oder akustischen Welle an einer elliptischen Öffnung in einem dünnen ebenen Schirm.- 2. Beugung einer ebenen elektrischen oder akustischen Welle an einem Ellipsoid oder an einem elliptischen Zylinder.- 3.Schallstrahlungsprobleme im Zusammenhang mit einer starren Kreisplatte.- VI. Eigenschwingungsprobleme.- 1. Innenraumprobleme.- 2. Außenraumprobleme.- VII. Wellenmechanische Probleme.- 1. Elektronenbewegung im ruhenden Kristallgitter.- 2. Quantelung des asymmetrischen Kreisels.- VIII. Literaturverzeichnis.


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Product Details
  • ISBN-13: 9783642904493
  • Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
  • Publisher Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • Height: 235 mm
  • No of Pages: 116
  • Returnable: N
  • Series Title: 3 Ergebnisse der Mathematik und Ihrer Grenzgebiete. 1. Folge
  • Width: 155 mm
  • ISBN-10: 3642904491
  • Publisher Date: 01 Jan 1932
  • Binding: Paperback
  • Language: German
  • Returnable: Y
  • Series Title: Erster Band
  • Sub Title: Band 3


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