The Gibbs-Wilbraham phenomenon: An episode in fourier analysis

@article{Hewitt1979TheGP,
  title={The Gibbs-Wilbraham phenomenon: An episode in fourier analysis},
  author={Edwin Shields Hewitt and Robert E. Hewitt},
  journal={Archive for History of Exact Sciences},
  year={1979},
  volume={21},
  pages={129-160}
}
plays an essential r61e in computing the amount of this overshoot. While teaching a course in the theory of functions of a real variable, E. HEWITT found the value 1.71... listed for the integral (1) in HARDY & ROGOSINSKI [271, page 36. This anomaly, as well as others encountered in the literature, led us to a study of the GIBBS phenomenon and its history. In the course of this study we uncovered a maze of forgotten results, interesting and difficult generalizations, faulty constants, and some… 

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