Local Properties of Differentiable Mappings

Part of the Birkhäuser Advanced Texts / Basler Lehrbücher book series (BAT)


In this section we are looking for conditions which allow us to invert a map f: XY, especially f: ℝM → ℝN. The simple case of a linear operator f indicates that a reasonable assumption is that M = N.


Banach Space Tangent Space Tangent Vector Local Property Transformation Rule 
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© Birkhäuser Verlag AG 2007

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