Search results for " implicit function"

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The historical role played by the work of Ulisse Dini on implicit function theory in the modern differential geometry foundations: the case of the st…

2012

differentiable manifold implicit function Whitney imbedding theorem
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On the History of Differentiable Manifolds

2012

International audience; We discuss central aspects of history of the concept of an affine dif-ferentiable manifold, as a proposal confirming the need for using some quantitative methods (drawn from elementary Model Theory) in Mathematical Historiography. In particular, we prove that this geometric structure is a syntactic rigid designator in the sense of Kripke-Putnam.

implicit functionWhitney's theoremprinciple of virtual worksMathematics::History and Overviewrigiddifferentiable manifold implicit function semantics Lindenbaum-Tarski algebraLindenbaum-Tarski algebra[MATH.MATH-LO]Mathematics [math]/Logic [math.LO][MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG][MATH.MATH-HO]Mathematics [math]/History and Overview [math.HO][MATH.MATH-HO] Mathematics [math]/History and Overview [math.HO][MATH.MATH-LO] Mathematics [math]/Logic [math.LO][MATH.MATH-DG] Mathematics [math]/Differential Geometry [math.DG]semanticssyntaxdesignatordifferentiable manifold
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