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  1. Fractal worlds
    grown, built, and imagined
    Autor*in: Frame, Michael; Urry, Amelia
    Erschienen: [2016]
    Verlag:  Yale University Press, New Haven

    What is the shape of the world around us? -- Self-similarity in geometry -- Self-similarity in the wild -- Manufactured fractals -- The Mandelbrot set : infinite complexity from a simple formula -- Quantifying fractals : what is fractal dimension? --... mehr

     

    What is the shape of the world around us? -- Self-similarity in geometry -- Self-similarity in the wild -- Manufactured fractals -- The Mandelbrot set : infinite complexity from a simple formula -- Quantifying fractals : what is fractal dimension? -- Further developments --Valediction -- A. A look under the hood : some technical notes -- B. Solutions to the problems "Fractal geometry is a uniquely fascinating area of mathematics, exhibited by a range of shapes that exist in the natural world, from a simple broccoli floret to a majestic mountain range. In this essential primer, mathematician Michael Frame--a close collaborator with Benoit Mandelbrot, the founder of fractal geometry--and poet Amelia Urry explore the amazing world of fractals as they appear in nature, art, medicine, and technology. Frame and Urry offer new insights into such familiar topics as measuring fractal complexity by dimension and the life and work of Mandelbrot. In addition, they delve into less-known areas: fractals with memory, the Mandelbrot set in four dimensions, fractals in literature, and more. An inviting introduction to an enthralling subject, this comprehensive volume is ideal for learning and teaching." --591

     
    Export in Literaturverwaltung   RIS-Format
      BibTeX-Format
    Hinweise zum Inhalt
    Quelle: Verbundkataloge
    Beteiligt: Strogatz, Steven
    Sprache: Englisch
    Medientyp: Buch (Monographie)
    ISBN: 9780300197877; 9780300220704
    Weitere Identifier:
    BVBTBV043904938
    RVK Klassifikation: SK 350 ; SK 380 ; SK 810
    Schlagworte: Fractals; Convex geometry; Mandelbrot sets; Symmetry (Physics); Mathematical physics; Mathematics in nature; Fractals; Interdisziplinarität; Fraktal; Fraktalgeometrie
    Weitere Schlagworte: Mandelbrot, Benoît B. (1924-2010)
    Umfang: 515 Seiten, Illustrationen
  2. Reality rules
    picturing the world in mathematics – 2, <<The>> frontier
    Autor*in: Casti, John L.
    Erschienen: 1992
    Verlag:  Wiley, New York, NY [u.a.]

    Export in Literaturverwaltung   RIS-Format
      BibTeX-Format
    Hinweise zum Inhalt
    Quelle: Verbundkataloge
    Sprache: Englisch
    Medientyp: Buch (Monographie)
    Format: Druck
    ISBN: 0471577987
    Übergeordneter Titel:
    RVK Klassifikation: SK 810
    Schlagworte: Spieltheorie; Evolutionstheorie; ; Diskrete Geometrie; Relationenalgebra; Kunst; Literatur; ; Algebraische Automatentheorie; Hirnforschung; ; Kontrolltheorie; Soziales System; Biologisches System; ; Algorithmische Informationstheorie; Hilbertsches Programm; Gödelscher Unvollständigkeitssatz;
    Umfang: XX, 424 S., graph. Darst.
    Bemerkung(en):

    Literaturangaben
  3. Fractal worlds
    grown, built, and imagined
    Autor*in: Frame, Michael; Urry, Amelia
    Erschienen: [2016]; © 2016
    Verlag:  Yale University Press, New Haven

    "Fractal geometry is a uniquely fascinating area of mathematics, exhibited by a range of shapes that exist in the natural world, from a simple broccoli floret to a majestic mountain range. In this essential primer, mathematician Michael Frame--a... mehr

    Standort:
    Staats- und Universitätsbibliothek Hamburg Carl von Ossietzky
    Signatur:
    A 2017/6370
    Fernleihe:
    uneingeschränkte Fernleihe, Kopie und Ausleihe

    Standort:
    Technische Informationsbibliothek (TIB) / Leibniz-Informationszentrum Technik und Naturwissenschaften und Universitätsbibliothek
    Signatur:
    T 17 B 4766
    Fernleihe:
    uneingeschränkte Fernleihe, Kopie und Ausleihe

     

    "Fractal geometry is a uniquely fascinating area of mathematics, exhibited by a range of shapes that exist in the natural world, from a simple broccoli floret to a majestic mountain range. In this essential primer, mathematician Michael Frame--a close collaborator with Benoit Mandelbrot, the founder of fractal geometry--and poet Amelia Urry explore the amazing world of fractals as they appear in nature, art, medicine, and technology. Frame and Urry offer new insights into such familiar topics as measuring fractal complexity by dimension and the life and work of Mandelbrot. In addition, they delve into less-known areas: fractals with memory, the Mandelbrot set in four dimensions, fractals in literature, and more. An inviting introduction to an enthralling subject, this comprehensive volume is ideal for learning and teaching." --

     
    Export in Literaturverwaltung   RIS-Format
      BibTeX-Format
    Hinweise zum Inhalt
    Quelle: Verbundkataloge
    Beteiligt: Strogatz, Steven (VerfasserIn eines Vorworts)
    Sprache: Englisch
    Medientyp: Buch (Monographie)
    Format: Druck
    ISBN: 9780300197877
    RVK Klassifikation: SK 350 ; SK 380 ; SK 810
    Schlagworte: Fractals; Convex geometry; Mandelbrot sets; Symmetry (Physics); Mathematical physics; Mathematics in nature; Fractals
    Umfang: xx, 515 Seiten, Illustrationen
    Bemerkung(en):

    What is the shape of the world around us? -- Self-similarity in geometry -- Self-similarity in the wild -- Manufactured fractals -- The Mandelbrot set : infinite complexity from a simple formula -- Quantifying fractals : what is fractal dimension? -- Further developments --Valediction -- A. A look under the hood : some technical notes -- B. Solutions to the problems