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Lehrbuch Der Funktionentheorie by Hans Hornich

Lehrbuch Der Funktionentheorie

by Hans Hornich
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Book cover type: Paperback
  • ISBN13: 9783709177402
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 216
  • Original Price: EUR 46.72
  • Language: German
  • Edition: Softcover Repri
  • Item Weight: 327 grams
  • BISAC Subject(s): General

Das vorliegende Buch solI eine Darstellung der Funktionentheorie in dem Ausma13 geben, wie es jeder, der mit Mathematik irgendwie zu tun 'hat, unbedingt benotigt; wer heutzutage etwa die stiirmische Ent- wickiung von Physik und Technik verfolgt, sto13t ja immer wieder auf funktionentheoretische Probleme. Vorausgesetzt werden an Kennt- nissen nur die Anfangsgriinde der Differential- und Integralrechnung. In der ersten Halfte des Buches werden die auf einem Gebiet der Ebene eindeutigen Funktionen behandelt und erst mit der analytischen Fort- setzung auch die mehrdeutigen Funktionen einbezogen. AusfUhrIich wird stets auf die konforme Abbildung eingegangen, einiges wird uber Randwertprobleme der Potentialtheorie gesagt, die Eulerschen In- tegrale werden naher untersucht und einen breiten Raum nehmen die algebraischen Funktionen ein. Wieviel bei der Darstellung eigenstandig ist, wird der Kenner ersehen. In den Ubungsbeispielen, die jedem Ab- schnitt beigefUgt sind, wird mitunter auf weitergehende Satze hin- geWlesen. Das Lehrbuch ist in einer 15jahrigen Lehrtatigkeit an der Wiener Universitat entstanden, in deren Veriauf ich mehrfach uber dieses Thema vorgetragen habe. Den Herren Priv.-Doz. Dr. L. Schmetterer und Dr. K. Prachar danke ich fUr ihre sehr muhevolle Mitarbeit beim Lesen der Korrekturen, dem Verlage fur die gro13e Sorgfalt, die er bei der Her- steHung des Werkes bewies. Graz-Wien, Weihnachten 1949. II. Hornieh. Inhaltsverzeichnis.

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