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Title: Nonstandard analysis and differentiable manifolds - Foundations
Author: Almeida, R
Keywords: Nonstandard analysis
differentiable manifolds
tangent bundle
infinitesimal transformation
Issue Date: 2009
Publisher: Balkan Society of Geometers
Abstract: We approach the study of di erentiable manifolds modeled on Banach spaces by means of Nonstandard Analysis. We stay inside the category of classical manifolds and using nonstandard analysis techniques, we present some new nonstandard characterizations for the tangent bundle, di erentiable function, di erential of a function, directional derivatives, etc. We establish some relations between our de nitions and the classical ones.
Peer review: yes
ISSN: 1454-511X
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Appears in Collections:MAT - Artigos

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