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MathSource Reviews: Monsters of Real Analysis

Matthew M. Thomas
Organization: Boeing Phantom Works
Journal / Anthology

Mathematica in Education and Research
Year: 2000
Volume: 9
Issue: 1
Page range: 40-45

Le Premier Monstre; Le Deuxième Monstre; "Grade Me... Look at Me..."; Assessment

Review of the MathSource item "Plotting the Monsters of Real Analysis" by Gabriel Chênevert, examining two "monstrous" anomalies in real analysis:
  • Can there exist a function that is continuous at each irrational point and discontinuous at each rational point?
  • an there exist a function that is continuous everywhere but nowhere differentiable?

*Mathematics > Calculus and Analysis
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matt91.nb (825.5 KB) - Mathematica Notebook

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