Monsters in Calculus

DOI10.1080/00029890.2018.1502011zbMath1400.26010OpenAlexW2892751720WikidataQ58265063 ScholiaQ58265063MaRDI QIDQ4685119

Krzysztof Chris Ciesielski

Publication date: 5 October 2018

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00029890.2018.1502011

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)

Related Items (9)

Linearly continuous maps discontinuous on the graphs of twice differentiable functions ⋮ Can One Visualize a Continuous Nowhere Differentiable Function? ⋮ Continuous Maps Admitting No Tangent Lines: A Centennial of Besicovitch Functions ⋮ Typical bad differentiable extensions ⋮ Nowhere-monotone differentiable functions and set of monstrous shift ⋮ Differentiability versus continuity: Restriction and extension theorems and monstrous examples ⋮ Nowhere-monotone differentiable functions and bounded variation ⋮ Doubly paradoxical functions of one variable ⋮ Non-isolated, non-strictly monotone points of iterates of continuous functions

Cites Work

• Unnamed Item
• Unnamed Item
• An auto-homeomorphism of a Cantor set with derivative zero everywhere
• Some new simple proofs of old difficult theorems
• Edrei's conjecture revisited
• Differentiable extension theorem: a lost proof of V. Jarník
• Continuous Nowhere Differentiable Functions
• Lineability in sequence and function spaces
• The Hausdorff Dimension of the Nondifferentiability Set of the Cantor Function is [ ln(2)/ln(3) 2]
• Shorter Notes: On Nowhere Monotone Functions
• Everywhere Differentiable, Nowhere Monotone, Functions
• Algebraic and Topological Dynamics

This page was built for publication: Monsters in Calculus