In the 1850s the Boer Voortrekkers came here to escape the deadly malaria and oppressive heat of South Africa's Lowveld. The climate at Lapolosa is ideal, close enough to the equator to be warm year-round, yet it lies at an elevation that is cooler in the summer, still comfortable in winter and malaria free. There are no lights, or power lines, or telephone poles, or noise pollution to spoil the peace or dim the Milky Way in the nighttime sky. At 6,200 +/- hectares (25 square miles), it is the size of a small country, a small country of beautiful mountain landscapes and open plains on a high plateau in South Africa. Nº de ref.Here are magical places left on this earth, unspoiled places, places where you can step back in time to a world that was cleaner, simpler. These ideas have considerable scope for further development, and a list of problems and lines of research is included. ![]() This leads to new, elegant concepts (defined purely topologically) of self-similarity and fractality: in particular, the author shows that many invariant sets are 'visually fractal', i.e. ![]() The last and most original part of the book introduces the notion of a 'view' as part of a framework for studying the structure of sets within a given space. Hutchinson's invariant sets (sets composed of smaller images of themselves) is developed, with a study of when such a set is tiled by its images and a classification of many invariant sets as either regular or residual. A major feature is that nonstandard analysis is used to obtain new proofs of some known results much more slickly than before. The first part of the book develops certain hyperspace theory concerning the Hausdorff metric and the Vietoris topology, as a foundation for what follows on self-similarity and fractality. Druck auf Anfrage Neuware -Addressed to all readers with an interest in fractals, hyperspaces, fixed-point theory, tilings and nonstandard analysis, this book presents its subject in an original and accessible way complete with many figures. ![]() "Sobre este título" puede pertenecer a otra edición de este libro.ĭescripción Taschenbuch. This leads to new, elegant concepts (defined purely topologically) of self-similarity and fractality: in particular, the author shows that many invariant sets are "visually fractal", i.e. The last and most original part of the book introduces the notion of a "view" as part of a framework for studying the structure of sets within a given space. ![]() Addressed to all readers with an interest in fractals, hyperspaces, fixed-point theory, tilings and nonstandard analysis, this book presents its subject in an original and accessible way complete with many figures.
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