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Forgotten fractals

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References

  1. J.E. Barnsley,Fractals everywhere, Academic Press, 2nd edition, 1993; p88.

  2. C. Celléiier, “Note sur les principes fondamentaux de ľ” analyse,“Bull, des Sci. Math. (2)14 (1890), 142–60.

    Google Scholar 

  3. G. Cantor, “Grundlagen einer allgemeinen Mannigfal-tigkeitslehre, ”Math. Annalen 21 (1883), 545–591.

    Article  MathSciNet  Google Scholar 

  4. J-L. Chambert, “Un demi-siècle des fractales 1870-1890,”Hist. Math. 17 (1990), 339–65.

    Article  Google Scholar 

  5. P. du Bois-Reymond, “Versuch einer Classification der willkürlichen Functionen reeller Argumenten in den kleinsten Intervallen,”J. F. reine u. angew. Math. 79 (1875), 21–37.

    Google Scholar 

  6. F.G. Frobenius, “Theorie der linearen Formen mit ganzen Coefficienten,”J.F. reine u. angew. Math. 86 (1879), 146–208.

    Google Scholar 

  7. F.G. Frobenius & L. Stickelberger, “Über Gruppen von vertauschbaren Elementen,”J. F. reine u. angew. Math. 86 (1879), 217–262.

    Google Scholar 

  8. K.C. Hannabuss,“Henry Smith” inOxford Figures, ed. J. Fauvel, R. Flood, and R.J. Wilson, Oxford, to appear.

  9. T. Hawkins,Lebesgués theory of integration; its origins and development, Chelsea, 1970.

  10. M. Jasek, “Über den wissenschaftlichen Nachlass Bernhard Bolzanos,”Jahresbericht der deutschen Mathematiker-Vereinigung 31 (1922), 109–110.

    Google Scholar 

  11. H. v. Koch, “Sur une courbe continue sans tangente, obtenue par une construction géometrique élémentaire,” Ark.F. Mat. Astron. o. Fys. 1 (1904), 681–704, and “Une méthode géométrique élémentaire pour ľétude de certaines questions de la théorie des courbes planes,”Acta Math. 30 (1906), 145-174.

    MATH  Google Scholar 

  12. C. Reid, Hilbert, Springer, 1970; p. 12.

  13. G.B. Riemann, “Über die Darstellbarkeit einer Function durch einer trigonometrische Reihe,”Abh. der Ges. der Wiss. zu Gött. 13 (1868), 87–132 (based onHabilitationsschrift of 1854).

    Google Scholar 

  14. W. Sierpiński, “Sur une courbe dont tout point est un point de ramification,”Comptes Rendus (Paris) 160 (1915), 302.

    MATH  Google Scholar 

  15. W. Sierpiński, “Sur une courbe cantorienne qui contient une image biunivoque et continue de toute courbe donnée,”Comptes Rendus (Paris) 162 (1916), 629.

    MATH  Google Scholar 

  16. H.J.S. Smith, “On systems of linear indeterminate equations and congruences,”Phil. Trans. Roy Soc. 101 (1861), 1293–326;Collected Mathematical Papers, 12.

    Google Scholar 

  17. H.J.S. Smith, “On the orders and genera of quadratic forms containing more than three indeterminates,”Proc. Roy. Soc. 16 (1867), 197–208;Collected Mathematical Papers, 18.

    Article  Google Scholar 

  18. H.J.S. Smith, “On the integration of discontinuous functions,”Proc. London Math. Soc. 6 (1875), 140–153;Collected Mathematical Papers, 25.

    MATH  Google Scholar 

  19. I. Stewart,Does God play dice?, Blackwell, 1989.

  20. I. Stewart, “Four encounters with Sierpińskís gasket,”Math. Intelligencer 17 (1995), no. 1, 52–64.

    Article  MATH  MathSciNet  Google Scholar 

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Hannabuss, K. Forgotten fractals. The Mathematical Intelligencer 18, 28–31 (1996). https://doi.org/10.1007/BF03024307

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