Fractals and Hyperspaces
Language: English
Published by Springer Berlin Heidelberg Nov 1991, 1991
- Softcover
- New
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermanyBuchWeltWeit Ludwig Meier e.K.
AbeBooks seller since January 11, 2012
Condition: New
£ 23.37
Quantity: 2 available
Add to basketItem description from seller
This item is printed on demand - it takes 3-4 days longer - 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. 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. 180 pp. Englisch. …
Seller Inventory # 9783540549659
- Title
- Fractals and Hyperspaces
- Author
- Keith R. Wicks
- Publisher
- Springer Berlin Heidelberg Nov 1991
- Publication year
- 1991
- Condition
- Neu
- Binding
- Taschenbuch
- Language
- English
- ISBN 10
- 354054965X
- ISBN 13
- 9783540549659
- Item weight
- 283 grams
- Dimensions
- 235x155x11 mm
"Synopsis" may belong to another edition of this title.
Product Description
"About the title" may belong to another edition of this title.
BuchWeltWeit Ludwig Meier e.K.
Bergisch Gladbach, Germany
AbeBooks seller since January 11, 2012
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BuchWeltWeit Ludwig Meier e.K.
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