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Fractal

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Glossary of Morphology

Part of the book series: Lecture Notes in Morphogenesis ((LECTMORPH))

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Abstract

The term fractal was first coined by the Polish-born, French-American mathematician Benoît Mandelbrot in the mid 1970s.

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References

  • Addison, P.: Fractals and Chaos: An Illustrated Course. Institute of Physics Publishing, Bristol and Philadelphia (1997)

    Book  Google Scholar 

  • Aldrovandi, R., Pereira, J.G.: An Introduction to Geometrical Physics. World Scientific, Singapore (2017)

    Google Scholar 

  • Birken, M., Coon, ACh.: Discovering Patterns in Mathematics and Poetry. Rodopi, Amsterdam New York (2008)

    Book  Google Scholar 

  • Devaney, L.R.: A First Course on Chaotic Dynamical Systems: Theory and Experiments. Perseus Books Publishing, New York (1992)

    Google Scholar 

  • Dodge, W.C.: Euclidean Geometry and Transformations. Dover Publications, Mineola, New York (2012)

    Google Scholar 

  • Emmer, M.: The fantastic World of Tor’ Bled-Nam. In: Emmer, M. (ed.) Imagine Math: Between Culture and Mathematics, pp. 5–15. Springer, Dordrecht (2012)

    Chapter  Google Scholar 

  • Koch, H. von: Sur une courbe continue sans tangente obtenue par une construction géométrique élémentaire. Arkiv för matematik, Astronomi och Fysik, 682–702 (1904)

    Google Scholar 

  • La Mantia, F.: Geometrie della Natura: matematica ed epistemologia. Annali della Facoltà di Lettere e Filosofia dell’Università degli Studi di Palermo, 51–95 (2004)

    Google Scholar 

  • Mandelbrot, B.: Formes nouvelles du hasard dans les sciences. Economie appliquée: archives de l’Institut de Sciences Mathématiques et Economiques Appliquées. Int. J. Econ. Anal. 2/4, 307–319 (1973)

    Google Scholar 

  • Mandelbrot, B.: Les objects fractals. Forme, hasard et dimension. Flammarion, Paris (1975)

    Google Scholar 

  • Mandelbrot, B.: The Fractal Geometry of Nature. Time Books, New York (1982)

    Google Scholar 

  • Manneville, P.: Instabilités, chaos et turbulence. Éditions de l’École Polytechnique, Paris (2004)

    Google Scholar 

  • Marek, M., Schreiber, I.: Chaotic Behaviour of Deterministic Dissipative Systems. Cambridge University Press, Cambridge (1991)

    Book  Google Scholar 

  • Shishikura, M.: The Hausdorff Dimension of the Mandelbrot Set. Ann. Math. 147(2), 225–267 (1998)

    Google Scholar 

  • Stewart, I.: Les Fractals. Belin, Paris (1982)

    Google Scholar 

  • Stewart, I.: The nature of fractal geometry. In: Lemoir-Gordon, N. (ed.) The Colours of Infinity: The Beauty and Power of Fractals, pp. 2–23. Springer, Dordrecht (2010)

    Chapter  Google Scholar 

  • Sullivan, D.: Seminar on conformal and hyperbolic geometry. Lecture Notes, Inst. Hautes Études Sci., Bures-sur-Yvette (1991)

    Google Scholar 

  • Vialar, Th: Complex and Chaotic Non-Linear Dynamics. Springer, Dordrecht (2009)

    Book  Google Scholar 

  • Vialar, Th: Handbook of Mathematics. Books on Demand, New York (2017)

    Google Scholar 

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Correspondence to Francesco La Mantia .

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La Mantia, F. (2020). Fractal. In: Vercellone, F., Tedesco, S. (eds) Glossary of Morphology. Lecture Notes in Morphogenesis. Springer, Cham. https://doi.org/10.1007/978-3-030-51324-5_45

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