 Dieses Buch richtet sich an Studierende der Mathematik in der Vertiefungsphase des Bachelor-Studiums. Ausgehend von den Grundvorlesungen research I-III und Lineare Algebra I-II werden zunächst die Grundlagen der Differentialtopologie von Mannigfaltigkeiten behandelt, dann die Grundlagen der Rie-mannschen Geometrie, und anschließend wird in die Geometrie von homogenen und symmetrischen Räumen eingeführt. Das Buch soll einen möglichst vollständigen Zugang zur Differentialgeometrie homogener Räume bieten, mit kompletten Beweisen. Es enthält zahlreiche Übungsaufgaben, Lösungen und Hinweise zu einigen Aufgaben findet guy am Ende des Buches.

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