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Grundzüge Der Differential- Und Integralrechnung

Grundzüge Der Differential- Und Integralrechnung

          
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About the Book

die Arbeiten Hölders sind die einschlägigen Fragen mit abschließen- der Gründlichkeit erledigt. Herv01-geho ben sei noch, daß ich mich aus Rücksicht auf den Umfang des Buches auf das reelle Gebiet beschränkt habe. Bei der 2. Auflage wurde das ganze Werk einer gründlichen Durchmusterung unterzogen. Größere .Änderungen sind nicht er- folgt, da keine der durchweg anerkennenden Beurteilungen dazu Veranlassung bot. Möge sich das aus langjähriger Lehrerfahrung erwachsene Werk weiterhin der Gunst unserer studierenden Jugend erfreuen! Bonn, im September 1908. G. Kowalewski. Prag, im Februar 1919. Vorwort zur vierten Auflage. Das Buch ist einer erneuten Durchsicht unterzogen und durch einen Anhang über Fredholmsche Determinanten und Integralglei- chungen vermehrt worden. Dresden-Weißer Hirsch, im Oktober 1927. Gerhard Kowalewski. Inhaltsübersicht. Seito Einleitung . . . . . . . . . . . . . 1-2 Kap. I. Einführung der Irrationalzahlen . 3-10 II. Grenzwerte . . . . . . . 10-17 III. Die rationalen Rechnungsoperationen 17-30 IV. Funktionen einer Veränderlichen .. 31-44 V. Geometrische Interpretation der Zahlen und Funktionen 45-54 VI. Differentiation von Funktionen einer Veränderlichen 54-71 VII. Unendliche Reihen. . . . . . . . . . 71-88 VIII. Einige Anwendungen der Potenzreihen . . 88-103 IX. Maxima und Minima. . . . . . . . 103-114 " X. Differentiation von Funktionen mehrerer Veränderlicher 114-121 XI. Maxima und Minima . . . . . . 121-126 XII. Umkehrung von Funktionen und Funktionssystemen 126-151 " XIII. Unbestimmte Integrale . . 151-183 XIV. Bestimmte Integrale . . . . . 183-234 XV. Integration unendlicher Reihen 234-264 XVI. Uneigentliche Integrale 264-296 XVII. Geometrische Anwendungen der bestimmten Integrale. 296-320 XVIII. Doppelintegrale und Kurvenintegrale . . . . . 320-375 XIX. Geometrische Anwendungen der Doppelintegrale 375-384 Erster Anhang. Einiges aus der Determinantentheorie .............. 385-387 Definition der n-reihigen Determinante . . . . . . . . . . . 387-388 . . Verhalten der Determinante bei gewissen Vertauschungen der E- mente .-...............


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Product Details
  • ISBN-13: 9783663153733
  • Publisher: Vieweg+teubner Verlag
  • Binding: Paperback
  • Height: 216 mm
  • No of Pages: 422
  • Series Title: German
  • Weight: 498 gr
  • ISBN-10: 3663153738
  • Publisher Date: 01 Jan 1928
  • Edition: 0004-
  • Language: German
  • Returnable: Y
  • Spine Width: 22 mm
  • Width: 140 mm


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