A Panoramic View of Riemannian Geometry
Marcel Berger (auth.)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.
Категории:
Година:
2003
Издание:
1
Издателство:
Springer-Verlag Berlin Heidelberg
Език:
english
Страници:
824
ISBN 10:
364262121X
ISBN 13:
9783642621215
Файл:
PDF, 15.71 MB
IPFS:
,
english, 2003
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