Excerpt from Theorie der Analytischen Functionen

Das n�chste Capitel enth�lt eine �bersichtliche Darstellung der grofsartigen Theorie der eindeutigen doppeltperiodischen Functionen von Weierstrass, die durch die Arbeiten von W. Biermann, Simon und M�ller, Kiepert und neuerdings durch die von Herrn Schwarz ver�ffentlichten „formeln und Lehrsiitze zum Gebrauchs der elliptischen Functionen so ziemlich Gemeingut der Mathematiker geworden ist. Ich entwickelte die Grundz�ge dieser Theorie, um dem Leser die Frucht barkeit der vorangegangenen Lehren klar zu machen und ihm andrer seits zu zeigen, was f�r einen Ausblick diese Theorie gew�hrt, wenn man Functionen mit linearen Substitutionen in sich betrachten will.

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