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Differentialgeometrie, Topologie und Physik
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Der vorliegende Klassiker bietet Studierenden und Forschenden in den Gebieten der Theoretischen und Mathematischen Physik eine ideale Einfhrung in die Differentialgeometrie und Topologie. Beides sind wichtige Werkzeuge in den Gebieten der Astrophysik, der Teilchen- und Festkrperphysik. Das Buch fhrt durch: - Pfadintegralmethode und Eichtheorie - Mathematische Grundlagen von Abbildungen, Vektorrumen und Topologie - Fortgeschrittene Konzepte der Geometrie und Topologie und deren Anwendungen im Bereich der Flssigkristalle, bei suprafluidem Helium, in der ART und der bosonischen Stringtheorie - Eine Zusammenfhrung von Geometrie und Topologie: Faserbndel, charakteristische Klassen und Indextheoreme - Anwendungen von Geometrie und Topologie in der modernen Physik: Eichfeldtheorien und der Analyse der Polakov'schen bosonischen Stringtheorie aus einer geometrischen Perspektive.
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