• Corpus ID: 10202669

Continuous Nowhere Differentiable Functions

  title={Continuous Nowhere Differentiable Functions},
  author={Johan Thim},
In the early nineteenth century, most mathematicians believed that a continuous function has derivative at a significant set of points. A.~M.~Amp\`ere even tried to give a theoretical justificati ... 
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In calculus courses, students learn the properties of continuous and differentiable functions. One extremely important fact about differentiable functions is that they are continuous. Students are
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A Nowhere Differentiable Continuous Function
  • L. Wen
  • Mathematics, Computer Science
    Am. Math. Mon.
  • 2000
The purpose of this note is to give a new elementary example that needs only the basic notion of limit and is very accessible and appropriate for a first calculus course.
A continuous, nowhere differentiable function
The examples of continuous, nowhere differentiable functions given in most analysis and topology texts involve the uniform limit of a series of functions in the former and the Baire category theorem
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Prevalence: an addendum
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