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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

Table of a Weierstrass continuous non-differentiable function


Authors: Herbert E. Salzer and Norman Levine
Journal: Math. Comp. 15 (1961), 120-130
MSC: Primary 65.00
Corrigendum: Math. Comp. 15 (1961), 436-436.
MathSciNet review: 0122011
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  • [1] A. N. Singh, The Theory and Construction of Non-Differentiable Functions, Lucknow University Studies, Faculty of Science, no. 1, 1935, reprinted in Squaring the Circle and Other Monographs, Chelsea Publishing Co., New York, 1953.
  • [2] E. Goursat, A Course in Mathematical Analysis, Vol. 1, translated by E. R. Hedrick, Ginn & Co., Boston, 1904, p. 423-425.
  • [3] T. Bromwich, An Introduction to the Theory of Infinite Series, Macmillan & Co., Ltd., London, 1908, p. 490-491. Note: The proof of the sufficiency of $ ab > 1 + \tfrac{{3\pi }}{2}(1 - a)$ is not contained in the later 1926 edition.
  • [4] G. H. Hardy, Weierstrass’s non-differentiable function, Trans. Amer. Math. Soc. 17 (1916), no. 3, 301–325. MR 1501044, http://dx.doi.org/10.1090/S0002-9947-1916-1501044-1
  • [5] Table of sines and cosines to fifteen decimal places at hundredths of a degree, Appl. Math. Ser., no. 5, National Bureau of Standards., 1949. MR 0030289 (10,740d)

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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1961-0122011-X
PII: S 0025-5718(1961)0122011-X
Article copyright: © Copyright 1961 American Mathematical Society