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Schouten in 1914), suggested classification of direct quantities on the basis of group theory, thus reaching a position that Cartan, in his quiet, independent way, had also reached.
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This brings us to the so-called vector analysis (partaking of both algebra and calculus).
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This paper became quite famous after 1913, when Einstein adopted that calculus for his general relativity and gave this calcul absolu the name of tensor calculus.
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Abstract spaces spanned by vectors of finite length led to abstract metrical spaces, named after Hilbert.
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More and more the ancient concept of mathematics as the theory of quantity was abandoned; more and more it was seen as the theory of structure in general.
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We find in his works our modern concept of continuity.
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and called the limit for i → 0 the fonction dérivée, y’ ou f’(x).
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this paper Gauss dispelled forever the mystery that still surrounded complex numbers by his representation of them by points in a plane.132
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In the words of Lazare Carnot, the organisateur de la victoire in the French Revolution, who also worried about Newton’s method of infinitesimals:
Anne-mette Hauge Almindecompartió una citahace 4 años
“The differentiation of equations consists simply in finding the limits of the ratio of finite differences of two variables included in the equation” (see Section 7 of this chapter).