1. Differential calculus on functions of a single variable

1.1 Framework and notations

We denote by E, F, G real vector spaces of finite dimension. They will always be provided with a norm, noted ││ - ││. On the same space, the norms are equivalent and define the same topology, which usually means that the norm used is not specified.

I, J are non-empty intervals, not reduced to a point.

Let [a,...

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Mathematics