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Home > Mathematics and Science Textbooks > Mathematics > Calculus and mathematical analysis > Funktionentheorie 2: Riemann´sche Flächen Mehrere komplexe Variable Abel´sche Funktionen Höhere Modulformen(Springer-Lehrbuch)
Funktionentheorie 2: Riemann´sche Flächen  Mehrere komplexe Variable  Abel´sche Funktionen  Höhere Modulformen(Springer-Lehrbuch)

Funktionentheorie 2: Riemann´sche Flächen Mehrere komplexe Variable Abel´sche Funktionen Höhere Modulformen(Springer-Lehrbuch)


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About the Book

Das Buch bietet eine vollständige Darstellung der Funktionentheorie, beginnend mit der Theorie der Riemann`schen Flächen einschließlich Uniformisierungstheorie sowie einer ausführlichen Darstellung der Theorie der kompakten Riemann`schen Flächen, Riemann-Roch`schem Satz, Abel`schem Theorem und Jacobi`schem Umkehrtheorem. Hierdurch motiviert wird eine kurze Einführung in die Funktionentheorie mehrerer Veränderlicher gegeben und dann die Theorie der Abel`schen Funktionen bis hin zum Thetasatz entwickelt. Daran anschließend und hierdurch motiviert wird eine Einführung in die Theorie der höheren Modulfunktionen gegeben.

Table of Contents:
Riemann´sche Flächen.- Harmonische Funktionen auf Riemann´schen Flächen.- Uniformisierung.- Kompakte Riemann´sche Flächen.- Analytische Funktionen mehrerer Variabler.- Abelsche Funktionen.- Modulformen mehrerer Veränderlicher.- Anhang: Algebraische Hilfsmittel.

About the Author :
Prof. Dr. Eberhard Freitag, Ruprecht-Karls-Universität Heidelberg, Mathematisches Institut

Review :

From the reviews: The present second volume contains eight chapters, each of which is subdivided into several sections. the current book is largely self-contained, pleasantly down-to-earth, remarkably versatile, and utmost educating simultaneously. No doubt, this textbook provides an excellent source for the further study of more advanced topics in the theory of Riemann surfaces . (Werner Kleinert, Zentralblatt MATH, Vol. 1178, 2010)


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Product Details
  • ISBN-13: 9783642453069
  • Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
  • Publisher Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • Edition: Revised edition
  • Language: German
  • Returnable: Y
  • Series Title: Springer-Lehrbuch
  • Width: 168 mm
  • ISBN-10: 3642453066
  • Publisher Date: 07 Jan 2014
  • Binding: Paperback
  • Height: 240 mm
  • No of Pages: 526
  • Returnable: Y
  • Sub Title: Riemann´sche Flächen Mehrere komplexe Variable Abel´sche Funktionen Höhere Modulformen


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Funktionentheorie 2: Riemann´sche Flächen  Mehrere komplexe Variable  Abel´sche Funktionen  Höhere Modulformen(Springer-Lehrbuch)
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