Lehrbuch der Mathematik, Band 4: Analysis auf Mannigfaltigkeiten - Funktionentheorie - Funktionalanalysis
Uwe Storch,Hartmut Wiebe
Lehrbuch der Mathematik, Band 4: Analysis auf Mannigfaltigkeiten - Funktionentheorie - Funktionalanalysis
Uwe Storch,Hartmut Wiebe
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I Differenzierbare Mannigfaltikeiten 1 Grundbegriffe 2 Tangentialbundel und Kotangentialbundel 3 Lie-Gruppen 4 Beispiele und Erganzungen 5 Drei grundlegende Satze II Multilineare Algebra 6 Tensorprodukte 7 AEussere und symmetrische Potenzen III Analysis auf Mannigfaltigkeiten 8 Vektorbundel 9 Differenzialformen 10 Zusammenhange IV Integration auf Mannigfaltigkeiten 11 Die Integralsatze 12 Erganzungen zur de Rham-Kohomologie 13 Anwendungen und Beispiele 14 Pseudo-Riemannsche Mannigfaltigkeiten V Funktionentheorie 15 Isolierte Singularitaten 16 Beispiele und Erganzungen 17 Uniformisierung VI Funktionalanalysis 18 Lokal konvexe Raume 19 Spektraltheorie Literaturverzeichnis Stichwortverzeichnis
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