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Elliptische Integralgruppen Und Jacobische Elliptische Funktionen Im Komplexen by Friedrich Tölke

Elliptische Integralgruppen Und Jacobische Elliptische Funktionen Im Komplexen

by Friedrich Tölke
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Book cover type: Paperback
  • ISBN13: 9783642516191
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 191
  • Original Price: EUR 37.37
  • Language: German
  • Edition: Softcover Repri
  • Item Weight: 286 grams
  • BISAC Subject(s): General

Der vorliegende IV. Band enthiilt im 10. Kapitel in gruppenweiser Zusammenstellung zahl reiche elliptische Integrale in algebraischer, trigonometrischer und hyperbolischer Form. Das 11. Kapitel ist den JAColuschen elliptischen Funktionen, ihren logarithmischen Ableitungen und zugehOrigen Umkehrfunktionen im Komplexen sowie der konformen Abbildung des Rechtecks auf das AuBere und Innere des Einheitskreises und den doppeltperiodischen logarithmischen Viererprodukten gewidmet. Die Herren Dipl.-Ing. FLINSPACH und Dr.-Ing. KLOPFER hatten die Freundlichkeit, mich bei der Anfertigung der Abbildungen zu unterstiitzen. Mein besonderer Dank gilt Fraulein Dr.-Ing. Dipl.-Math. GOESER fUr die Durchfiihrung der programmierungstechnischen Vorarbeiten und der zusatzlich erforderlich gewordenen umfangreichen mathematischen Berechnungen. Ferner danke ich den Herren Dr.-Ing. BONHAGE, Dr.-Ing. FEUERLEIN, Dipl.-Ing. FLINSPACH und Privatdozent Dr.-Ing. GIESECKE fiir die Unterstiitzung bei der Durchsicht des Manuskriptes und in ganz be sonderem MaBe Herrn Dr.-Ing. GIESECKE fUr das Lesen der sehr schwierigen Korrektur. Danken mochte ich auch den Mitarbeitern des Springer-Verlages fiir die hervorragende Anordnung des auBerst miihevollen Satzes bei den Integralen und fiir die kaum zu iibertreffende Wiedergabe der Abbildungen. Stuttgart, im Sommer 1967 Friedrich TOlke Vorbemerkungen zurn Gesamtwerk Entsprechend del' Zweckbestimmung der Praktischen Funktionelllehre war auch ftir die Be arbeitung der Bande II bis V del' Gesichtspunkt entscheidend, Aufbau und Stoffauswahl in erster Linie auf die Bedtirfnisse del' angewandten Mathematik, theoretischen Physik und Technik ab zustellen. Wenn die dadurch bedingte, tiber den klassischen Behandlungsstoff hinausgehende Gebietsausweitung auch ftir die reine Mathematik interessant sein solIte, so wtirde dies den durch das Buch angesprochenen Personenkreis noch vergroBern."

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