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Abstract

To extend the concept of differentiability to a function of several variables, F : ℝn→ℝ, at a point P0 of its domain, we must recall that the value of a differentiable function at a point close to P0, P0 + \( \bar h \), can be approximated by the value of the function at the point, F(P0), plus the value of a linear transformation, called precisely the derivative at P0, applied to the increment \( \bar h \), where \( \left\| {\bar h} \right\| \) is sufficiently small.

Keywords

Equivalence Relation Topological Space Symmetric Group Level Surface Inverse Image 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Verlag AG 2007

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