Abstract
In this chapter let us consider some basic facts about the differential calculus for operators. The main strategy encompasses the following:
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(i)
Differentiation means linearization.
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(ii)
Higher derivatives correspond to multilinearization.
Data aequatione quotcunque fluentes quantitae involvente fluxiones invenire et vice verse.1 Isaac Newton to Leibniz, 1676
It is worth noting that the notation facilities discovery. This, in a most wonderful way, reduces the mind’ labor. Gottfried Wilhelm Leibniz
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© 1995 Springer Science+Business Media New York
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Zeidler, E. (1995). The Implicit Function Theorem. In: Applied Functional Analysis. Applied Mathematical Sciences, vol 109. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0821-1_4
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DOI: https://doi.org/10.1007/978-1-4612-0821-1_4
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