Synthetic Geometry of Manifolds - Rilegato

Kock, Anders

Rilegato

ISBN 10: 0521116732 ISBN 13: 9780521116732

Casa editrice: Cambridge University Press, 2009

Riassunto

This elegant book is sure to become the standard introduction to synthetic differential geometry. It deals with some classical spaces in differential geometry, namely 'prolongation spaces' or neighbourhoods of the diagonal. These spaces enable a natural description of some of the basic constructions in local differential geometry and, in fact, form an inviting gateway to differential geometry, and also to some differential-geometric notions that exist in algebraic geometry. The presentation conveys the real strength of this approach to differential geometry. Concepts are clarified, proofs are streamlined, and the focus on infinitesimal spaces motivates the discussion well. Some of the specific differential-geometric theories dealt with are connection theory (notably affine connections), geometric distributions, differential forms, jet bundles, differentiable groupoids, differential operators, Riemannian metrics, and harmonic maps. Ideal for graduate students and researchers wishing to familiarize themselves with the field.

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Recensione:

'The book would certainly make a good graduate textbook. it is clearly written and contains a reasonable number of nontrivial exercises.' Zentralblatt MATH

Descrizione del libro:

This elegant book is certain to become the standard introduction to synthetic differential geometry. It deals with some classical spaces in differential geometry, namely 'prolongation spaces' or neighbourhoods of the diagonal. The clear presentation makes this tract ideal for graduate students and researchers wishing to familiarize themselves with the field.

Su questa edizione

• Editore: Cambridge University Press
• Data di pubblicazione: 2009
• ISBN 10: 0521116732
• ISBN 13: 9780521116732
• Rilegatura: Copertina rigida
• Numero edizione: 1
• Numero di pagine: 312