Abstract
The adage leading off this chapter is the kernel of all differential calculi. Notwithstanding that this cornerstone was pulverized by Riemann’s and Weierstrass’ discovery of (real-valued) everywhere continuous nowhere differentiable functions on ℝ, it is still a valuable principle for creative mathematicians and physicists.
A cornerstone of our thinking is that in the infinitely small every function becomes linear (from an unknown mathematical physicist, 1915).
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© 1991 Springer Science+Business Media New York
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Remmert, R. (1991). Complex-Differential Calculus. In: Theory of Complex Functions. Graduate in Texts Mathematics, vol 122. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0939-3_3
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DOI: https://doi.org/10.1007/978-1-4612-0939-3_3
Publisher Name: Springer, New York, NY
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