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About this product
- DescriptionThis 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 tions 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 (tably 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.
- Author BiographyAnders Kock is Professor Emeritus in the Department of Mathematical Sciences at Aarhus University, Denmark.
- Author(s)Anders Kock
- PublisherCambridge University Press
- Date of Publication19/11/2009
- Series TitleCambridge Tracts in Mathematics
- Series Part/Volume NumberNo. 180
- Place of PublicationCambridge
- Country of PublicationUnited Kingdom
- ImprintCambridge University Press
- Content Note10 b/w illus. 40 exercises
- Weight590 g
- Width152 mm
- Height228 mm
- Spine24 mm
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