• Reinhold Remmert
Part of the Graduate in Texts Mathematics book series (GTM, volume 122)


As soon as Cauchy’s integral formula is available a plethora of themes from classical function theory can be treated directly and independently of each other. This freedom as to choice of themes forces one to impose his own limits; in CarathÉodory ([5], p. viii) we read: “Die größte Schwierigkeit bei der Planung eines Lehrbuches der Funktionentheorie liegt in der Auswahl des Stoffes. Man muß sich von vornherein entschließen, alle Fragen wegzulassen, deren Darstellung zu große Vorbereitungen verlangt. (The greatest difficulty in planning a textbook on function theory lies in the choice of material. You have to decide beforehand to leave aside all questions whose treatment requires too much preparatory development.)”


Holomorphic Function Formal Power Series Closed Path Circular Sector Open Mapping Theorem 
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Copyright information

© Springer Science+Business Media New York 1991

Authors and Affiliations

  • Reinhold Remmert
    • 1
  1. 1.Mathematisches InstitutUniversität MünsterMünsterGermany

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