Abstract
In this chapter we will prove the inverse and implicit mapping theorems, which have far-reaching applications. We will begin with the inverse mapping theorem and then derive the implicit mapping theorem from it.
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References
Cox, D., Little, J., O’Shea, D.: Ideals, Varieties and Algorithms, 2nd edn. Springer-Verlag, Berlin (1997)
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Coleman, R. (2012). The Inverse and Implicit Mapping Theorems. In: Calculus on Normed Vector Spaces. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-3894-6_8
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DOI: https://doi.org/10.1007/978-1-4614-3894-6_8
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Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4614-3893-9
Online ISBN: 978-1-4614-3894-6
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