Sinossi
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.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Contenuti
Preliminaries.- Nonstandard development of the vietoris topology.- Nonstandard development of the Hausdorff metric.- Hutchinson's invariant sets.- Views and fractal notions.
Product Description
Fractals And Hyperspaces by Wicks Keith R., 9783540549659, Springer
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
Risultati della ricerca per Fractals and Hyperspaces: 1492
Immagini fornite dal venditore
Fractals and hyperspaces. Lecture notes in mathematics ; Vol. 1492
Da: books4less (Versandantiquariat Petra Gros GmbH & Co. KG), Welling, Germania
Valutazione del venditore 5 su 5 stelle
Broschiert. Condizione: Gut. 168 S. : graph. Darst. Das hier angebotene Buch stammt aus einer teilaufgelösten wissenschaftlichen Bibliothek und trägt die entsprechenden Kennzeichnungen (Rückenschild, Instituts-Stempel.); Schnitt und Einband sind etwas staubschmutzig; der Buchzustand ist ansonsten ordentlich und dem Alter entsprechend gut. Text in ENGLISCHER Sprache! Sprache: Englisch Gewicht in Gramm: 300. Codice articolo 1519385
Compra usato
EUR 6,45
Spedizione EUR 9,95
Spedito da Germania a U.S.A.
Spedito da Germania a U.S.A.
Quantità: 2 disponibili
Foto dell'editore
Fractals and Hyperspaces
Da: Anybook.com, Lincoln, Regno Unito
Valutazione del venditore 5 su 5 stelle
Condizione: Good. 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. Codice articolo 9267799
Compra usato
EUR 8,22
Spedizione EUR 15,59
Spedito da Regno Unito a U.S.A.
Spedito da Regno Unito a U.S.A.
Quantità: 1 disponibili
Foto dell'editore
Fractals and Hyperspaces (Lecture Notes in Mathematics) (Volume 1492)
Da: Anybook.com, Lincoln, Regno Unito
Valutazione del venditore 5 su 5 stelle
Condizione: Poor. Volume 1492. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. In poor condition, suitable as a reading copy. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,400grams, ISBN:354054965X. Codice articolo 4327860
Compra usato
EUR 9,20
Spedizione EUR 15,59
Spedito da Regno Unito a U.S.A.
Spedito da Regno Unito a U.S.A.
Quantità: 1 disponibili
Immagini fornite dal venditore
Fractals and Hyperspaces (Lecture Notes in Mathematics 1492)
ISBN 10: 354054965X
ISBN 13: 9783540549659
Antico o usato
Softcover
Prima edizione
Da: James Payne, Books and Prints, New York City, NY, U.S.A.
Valutazione del venditore 5 su 5 stelle
Softcover. Condizione: Very Good. First Edition. [MATH]. Keith R. Wicks. "Fractals and Hyperspaces (Lecture Notes in Mathematics 1492)." Berlin, Heidelberg, New York: Springer-Verlag. Printed in Germany, 1991. First edition thus. English language. Softcover with orange wrappers. Nonfiction academic mathematics text in nineteen sections with foreword, introduction, index, and black-and-white charts and illustrations. 9 1/2 x 6 1/2 inches. 10 oz. 176 pp. Crease in back wrapper. Toning. Text clean. Very Good. ISBN: 354054965x. "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.". Codice articolo 07829
Compra usato
EUR 31,01
Spedizione EUR 4,73
Spedito in U.S.A.
Spedito in U.S.A.
Quantità: 1 disponibili
Foto dell'editore
FRACTALS AND HYPERSPACES (LECTURE NOTES IN MATHEMATICS)
Da: Basi6 International, Irving, TX, U.S.A.
Valutazione del venditore 5 su 5 stelle
Condizione: Brand New. New. US edition. Expediting shipping for all USA and Europe orders excluding PO Box. Excellent Customer Service. Codice articolo ABEOCT25-241467
Compra nuovo
EUR 36,73
Spedizione gratuita
Spedito in U.S.A.
Spedito in U.S.A.
Quantità: 1 disponibili
Foto dell'editore
Fractals and Hyperspaces
Da: Chiron Media, Wallingford, Regno Unito
Valutazione del venditore 5 su 5 stelle
PF. Condizione: New. Codice articolo 6666-IUK-9783540549659
Compra nuovo
EUR 23,69
Spedizione EUR 17,76
Spedito da Regno Unito a U.S.A.
Spedito da Regno Unito a U.S.A.
Quantità: 10 disponibili
Foto dell'editore
Fractals and Hyperspaces (Lecture Notes in Mathematics, 1492)
Da: Ria Christie Collections, Uxbridge, Regno Unito
Valutazione del venditore 5 su 5 stelle
Condizione: New. In. Codice articolo ria9783540549659_new
Compra nuovo
EUR 28,13
Spedizione EUR 13,74
Spedito da Regno Unito a U.S.A.
Spedito da Regno Unito a U.S.A.
Quantità: Più di 20 disponibili
Foto dell'editore
Fractals and Hyperspaces (Lecture Notes in Mathematics)
Da: Fireside Bookshop, Stroud, GLOS, Regno Unito
Valutazione del venditore 5 su 5 stelle
Paperback. Condizione: Good. Type: Book Small plain label inside cover. Codice articolo 053148
Compra usato
EUR 17,72
Spedizione EUR 28,67
Spedito da Regno Unito a U.S.A.
Spedito da Regno Unito a U.S.A.
Quantità: 1 disponibili
Immagini fornite dal venditore
Fractals and Hyperspaces. Lecture notes in mathematics; Bd. 1492.
Da: Antiquariat Bookfarm, Löbnitz, Germania
Valutazione del venditore 5 su 5 stelle
Softcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-03138 354054965X Sprache: Englisch Gewicht in Gramm: 550. Codice articolo 2489037
Compra usato
EUR 6,80
Spedizione EUR 40,00
Spedito da Germania a U.S.A.
Spedito da Germania a U.S.A.
Quantità: 1 disponibili
Immagini fornite dal venditore
Fractals and Hyperspaces
Editore:
Springer Berlin Heidelberg Nov 1991, 1991
ISBN 10: 354054965X
ISBN 13: 9783540549659
Nuovo
Taschenbuch
Da: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germania
Valutazione del venditore 5 su 5 stelle
Taschenbuch. Condizione: Neu. 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. Codice articolo 9783540549659
Compra nuovo
EUR 26,70
Spedizione EUR 23,00
Spedito da Germania a U.S.A.
Spedito da Germania a U.S.A.
Quantità: 2 disponibili