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Ingenieur-Mathematik: Zweiter Band: Differentialgleichungen Und Funktionentheorie by Robert Sauer

Ingenieur-Mathematik: Zweiter Band: Differentialgleichungen Und Funktionentheorie

by Robert Sauer
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Book cover type: Paperback
  • ISBN13: 9783642516481
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 192
  • Original Price: EUR 42.05
  • Language: German
  • Edition: 3. Aufl. 1968.
  • Item Weight: 291 grams
  • BISAC Subject(s): Engineering (General)

IV. Kapitel Vektoranalysis.- 39. Gradient, Divergenz und Rotation.- 40. Übergang zu Zylinder- und Kugelkoordinaten.- 41. Wirbelfreie und quellenfreie Vektorfelder.- V. Kapitel Differentialgleichungen.- 42. Geometrische Deutung der gewöhnlichen Differentialgleichung erster Ordnung und Existenzsatz.- 43. Graphische und numerische Integrationsverfahren für die gewöhnliche Differentialgleichung erster Ordnung.- 44. Elementar integrierbare Klassen von gewöhnlichen Differentialgleichungen erster Ordnung.- 45. Kurvenscharen, singuläre Integrale.- 46. Gewöhnliche Differentialgleichungen höherer Ordnung und Systeme von Differentialgleichungen.- 47. Theorie der linearen gewöhnlichen Differentialgleichungen n-ter Ordnung und der Systeme linearer Differentialgleichungen erster Ordnung.- 48. Lineare gewöhnliche Differentialgleichungen mit konstanten Koeffizienten.- 49. Anwendung auf Schwingungsprobleme.- 50. Fourier-Reihen.- 51. Rand- und Eigenwertprobleme bei gewöhnlichen Differentialgleichungen.- 52. Anfangswertprobleme bei partiellen Differentialgleichungen.- VI. Kapitel Funktionentheorie.- 53. Differentialquotient und Integral.- 54. Konforme Abbildung.- 55. Lineare Funktion.- 56. Logarithmus, Exponentialfunktion und Potenzfunktion.- 57. Kreis- und Hyperbelfunktionen.- 58. Anwendungen in Aerodynamik und Elektrotechnik.- 59. Cauchysche Integralformel.- 60. Darstellung analytischer Funktionen durch Potenzreihen.- 61. Singulare Stellen.- 62. Residuensatz. Auswertung uneigentlicher Integrale im Komplexen...- 63. Ausblick auf weitere Begriffe und Sätze der Funktionentheorie.- 64. Polygonabbildung nach Schwarz und Christoffel.- 65. Potentialgleichung.- Anhang: Beweise.

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