Abstract
We develop and study a generalization to multivariate functions of the notion of increment, by mean of we can reproduce in several variables, many importants theorems of the Calculus in one variable. In particular, it is possible to reproduce isomorfically the reelaboration of the Riemann integral based on the notion of pre–primitive, exposed in [1]. This will be the treated in a future paper.
References
Alarcón, W. (1992) “Integral y primitivas de Riemann”, Ciencias Matemáticas, 2(2): 41–47.
Bartle, R. (1976) The Elements of Real Analysis. 2a. Edición, John Wiley & Sons, New York.
Lang, S. (1983) Real Analysis. 2a. Edición, Addison-Wesley, Reading, Mass.
Spivak, M. Calculus on Manifolds.
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