Complex-Differential Calculus

  • Reinhold Remmert
Part of the Graduate in Texts Mathematics book series (GTM, volume 122)


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.


Harmonic Function Holomorphic Function Differential Calculus Difference Quotient Creative Mathematician 
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Copyright information

© Springer Science+Business Media New York 1991

Authors and Affiliations

  • Reinhold Remmert
    • 1
  1. 1.Mathematisches InstitutUniversität MünsterMünsterGermany

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