A Panoramic View of Riemannian Geometry
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Author
Publication
2003 - Springer Berlin Heidelberg, Berlin, Heidelberg, Germany
Language
English
Word Count
206,000 words, Guess
Page Count
824 pages
Physical Format
[electronic resource] /
Identifiers
- Open LibraryOL27079617M
- ISBN-139783642621215
- ISBN-10364262121X
- OCLC Control Number851821086
- OCLC Control Numberpanoramicviewrie00berg_862
Classifications
- DDC516.36
- LCCQA641-670
Description
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.
Subjects
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