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        [share_ebook] Analysis 2


        作者: Theodor Br?cker

        日期: 1995

        ISBN: 3860254189

        頁數: 178

        出版社: Spektrum Akademischer Verlag

        標簽: 數學



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          share_ebook Analysis 2
        • Author: Theodor Br?cker
        • Publisher: Spektrum Akademischer Verlag
        • Publish Date: 1995
        • ISBN: 3860254189
        • Pages: 178
        Kurzbeschreibung
        Band 2 bescghäftigt sich mit der Differentialrechnung im Mehrdimensionalen. Das Besondere der Darstellung ist die geometrische Sicht: Mannigfaltigkeiten als Lösungsmengen von Gleichungen, Tangentialräume, Einhüllende einer Schar, nichtholonome Nebenbedingungen usw. In den folgenden Kapiteln wird das Lebesgue-Integral in höchster Allgemeinheit auf maßtheoretischer Grundlage konstruiert. Am Ende, wo die Grundbegriffe zur Verfügung stehen, erklärt der Autor das Morselemma, den Rangsatz und den Satz von Sard und Jensens Ungleichung für konvexe Funktionen.

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