Synthetic Differential Geometry
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, synthetic differential geometry is a reformulation of differential geometry in the language of topos theory, in the context of an intuitionistic logic characterized by a rejection of the law of excluded middle. There are several insights that allow for such a reformulation. The first is that most of the analytic data for describing the class of smooth manifolds can be encoded into certain fibre bundles on manifolds: namely bundles of jets (see also jet bundle). The second insight is that the operation of assigning a bundle of jets to a smooth manifold is functorial in nature. The third insight is that over a certain category, these are representable functors. Furthermore, their representatives are related to the algebras of dual numbers, so that smooth infinitesimal analysis may be used.
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GarantieWeitere Informationen
- Allgemeine Informationen
- GTIN 09786131246838
- Editor Lambert M. Surhone, Mariam T. Tennoe, Susan F. Henssonow
- Größe H220mm x B220mm
- EAN 9786131246838
- Format Fachbuch
- Titel Synthetic Differential Geometry
- Herausgeber Betascript Publishing
- Anzahl Seiten 108
- Genre Mathematik
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