Abstract
In this section we will prove the Implicit Function Theorem and the Inverse Function Theorem in sufficient generality for our use. Readers who think they already know these theorems, or who are willing to accept them, can skip this section, but they are advised to at least read the statements. This section is self-contained.
We have here, in fact, a passage to the limit of unexampled audacity.
F. Klein (in reference to Brook Taylor’s derivation of his famous theorem)
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© 1993 Springer Science+Business Media New York
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Bredon, G.E. (1993). Differentiable Manifolds. In: Topology and Geometry. Graduate Texts in Mathematics, vol 139. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-6848-0_2
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DOI: https://doi.org/10.1007/978-1-4757-6848-0_2
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