"Whenever the bigger theorems are stated and proven, Landau usually shows that all the hypotheses are needed by dropping each one and giving a counterexample. In some cases the counterexamples are very elaborate, such as van der Waerden’s continuous, nowhere differentiable function, and a continuous function whose Fourier series diverges."
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Allen Stenger: (The book reviewed is the 2001 translation of Landau's EinfĂĽhrung in die Differential- und Integralrechnung published by Noordhoff in 1934.)
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Counterexample
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