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.
KeywordsHarmonic Function Holomorphic Function Differential Calculus Difference Quotient Creative Mathematician
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