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. 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. A major feature is that nonstandard analysis is used to obtain new proofs of some known results much more slickly than before ...
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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. 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. A major feature is that nonstandard analysis is used to obtain new proofs of some known results much more slickly than before. The theory of J.E. 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. 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. 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. have infinite detail in a certain sense. These ideas have considerable scope for further development, and a list of problems and lines of research is included.
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Add this copy of Fractals and Hyperspaces to cart. $25.17, new condition, Sold by Media Smart rated 4.0 out of 5 stars, ships from Hawthorne, CA, UNITED STATES, published 1991 by Springer.
Add this copy of Fractals and Hyperspaces to cart. $29.36, good condition, Sold by Anybook rated 4.0 out of 5 stars, ships from Lincoln, UNITED KINGDOM, published 1991 by Springer-Verlag.
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This is an ex-library book and may have the usual library/used-book markings inside. This book has soft covers. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item, 350grams, ISBN: 354054965X.
Add this copy of Fractals and Hyperspaces to cart. $30.10, new condition, Sold by discount_scientific_books rated 5.0 out of 5 stars, ships from Sterling Heights, MI, UNITED STATES, published 1991 by Springer.
Add this copy of Fractals and Hyperspaces (Lecture Notes in Mathematics) to cart. $30.12, good condition, Sold by Fireside Bookshop rated 4.0 out of 5 stars, ships from Stroud, GLOUCESTERSHIRE, UNITED KINGDOM, published 1991 by Springer.
Add this copy of Fractals and Hyperspaces to cart. $31.00, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 1991 by Springer.
Add this copy of Fractals and Hyperspaces (Lecture Notes in Mathematics) to cart. $32.50, new condition, Sold by discount_scientific_books rated 5.0 out of 5 stars, ships from Sterling Heights, MI, UNITED STATES, published 1991 by Springer.
Add this copy of Lecture Notes in Mathematics 1492 to cart. $32.91, new condition, Sold by Books International rated 3.0 out of 5 stars, ships from Toronto, ON, CANADA, published 1991 by Springer.
Add this copy of Fractals and Hyperspaces (Lecture Notes in Mathematics) to cart. $33.88, new condition, Sold by discount_scientific_books rated 5.0 out of 5 stars, ships from Sterling Heights, MI, UNITED STATES, published 1991 by Springer.
Add this copy of Fractals and Hyperspaces (Lecture Notes in Mathematics, to cart. $37.63, new condition, Sold by Just one more Chapter rated 3.0 out of 5 stars, ships from Miramar, FL, UNITED STATES, published 1991 by Springer.
Add this copy of Fractals and Hyperspaces to cart. $41.21, new condition, Sold by Media Smart rated 4.0 out of 5 stars, ships from Hawthorne, CA, UNITED STATES, published 1993 by Springer.
