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A Panoramic View of Riemannian Geometry

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Riemannian geometry has today become a vast and important subject. This new book of Marcel Berger sets out to introduce readers to most of the living topics of the field and convey them quickly to the main results known to date. These results are stated without detailed proofs but the main ideas involved are described and motivated. This enables the reader to obtain a sweeping panoramic view of almost the entirety of the field. However, since a Riemannian manifold is, even initially, a subtle object, appealing to highly non-natural concepts, the first three chapters devote themselves to introducing the various concepts and tools of Riemannian geometry in the most natural and motivating way, following in particular Gauss and Riemann.

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A Panoramic View of Riemannian Geometry, Marcel Berger

Sprache
Erscheinungsdatum
2007
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Titel
A Panoramic View of Riemannian Geometry
Sprache
Englisch
Autor*innen
Marcel Berger
Verlag
Springer
Erscheinungsdatum
2007
Einband
Hardcover
Seitenzahl
824
ISBN10
3540653171
ISBN13
9783540653172
Reihe
Beschreibung
Riemannian geometry has today become a vast and important subject. This new book of Marcel Berger sets out to introduce readers to most of the living topics of the field and convey them quickly to the main results known to date. These results are stated without detailed proofs but the main ideas involved are described and motivated. This enables the reader to obtain a sweeping panoramic view of almost the entirety of the field. However, since a Riemannian manifold is, even initially, a subtle object, appealing to highly non-natural concepts, the first three chapters devote themselves to introducing the various concepts and tools of Riemannian geometry in the most natural and motivating way, following in particular Gauss and Riemann.