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Differentialgeometrie, Topologie Und Physik
Paperback
General MathematicsGeometryPhysics
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ISBN13: 9783662452998
Publisher: Springer Spektrum
Published: Mar 3 2015
Pages: 597
Weight: 1.89
Height: 1.25 Width: 6.14 Depth: 9.21
Language: German
Der vorliegende Klassiker bietet Studierenden und Forschenden in den Gebieten der Theoretischen und Mathematischen Physik eine ideale Einführung in die Differentialgeometrie und Topologie. Beides sind wichtige Werkzeuge in den Gebieten der Astrophysik, der Teilchen- und Festkörperphysik. Das Buch führt durch:
- Pfadintegralmethode und Eichtheorie
- Mathematische Grundlagen von Abbildungen, Vektorräumen und Topologie- Fortgeschrittene Konzepte der Geometrie und Topologie und deren Anwendungen im Bereich der Flüssigkristalle, bei suprafluidem Helium, in der ART und der bosonischen Stringtheorie
- Eine Zusammenführung von Geometrie und Topologie: Faserbündel, 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
Mikio Nakahara studierte an der Universität Kyoto und am King's in London Physik sowie klassische und Quantengravitationstheorie. Heute ist er Physikprofessor an der Kinki-Universität in Osaka (Japan), wo er u. a. über topologische Quantencomputer forscht. Diese Buch entstand aus einer Vorlesung, die er während Forschungsaufenthalten an der University of Sussex und an der Helsinki University of Sussex gehalten hat.
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