Fractal analysis: basic concepts and applications
"The aim of this book is to provide a basic and self-contained introduction to the ideas underpinning fractal analysis. The book illustrates some important applications issued from real data sets, real physical and natural phenomena as well as real applications in different fields, and conseque...
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New Jersey ; London ; Singapore ; Beijing ; Shanghai ; Hong Kong ; Taipei ; Chennai ; Tokyo
World Scientific
[2022]
|
| Schriftenreihe: | Series on advances in mathematics for applied sciences
vol. 91 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis Review |
| Zusammenfassung: | "The aim of this book is to provide a basic and self-contained introduction to the ideas underpinning fractal analysis. The book illustrates some important applications issued from real data sets, real physical and natural phenomena as well as real applications in different fields, and consequently, presents to the readers the opportunity to implement fractal analysis in their specialties according to the step-by-step guide found in the book. Besides advanced undergraduate students, graduate students and senior researchers, this book may also serve scientists and research workers from industrial settings, where fractals and multifractals are required for modeling real-world phenomena and data, such as finance, medicine, engineering, transport, images, signals, among others. For the theorists, rigorous mathematical developments are established with necessary prerequisites that make the book self-containing. For the practitioner often interested in model building and analysis, we provide the cornerstone ideas"-- |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | xvii, 221 Seiten Illustrationen, Diagramme |
| ISBN: | 9789811239434 |
Internformat
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Datensatz im Suchindex
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| author | Cattani, Carlo 1954- Mabrouk, Anouar Ben Arfaoui, Sabrine |
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| author_facet | Cattani, Carlo 1954- Mabrouk, Anouar Ben Arfaoui, Sabrine |
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| discipline | Physik Mathematik |
| discipline_str_mv | Physik Mathematik |
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| id | DE-604.BV049309587 |
| illustrated | Illustrated |
| index_date | 2024-07-03T22:40:34Z |
| indexdate | 2024-08-25T00:01:46Z |
| institution | BVB |
| isbn | 9789811239434 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-034570720 |
| oclc_num | 1314047356 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM |
| owner_facet | DE-91G DE-BY-TUM |
| physical | xvii, 221 Seiten Illustrationen, Diagramme |
| publishDate | 2022 |
| publishDateSearch | 2022 |
| publishDateSort | 2022 |
| publisher | World Scientific |
| record_format | marc |
| series | Series on advances in mathematics for applied sciences |
| series2 | Series on advances in mathematics for applied sciences |
| spelling | Cattani, Carlo 1954- Verfasser (DE-588)1076126375 aut Fractal analysis basic concepts and applications Carlo Cattani (University of Tuscia, Italy), Anouar Ben Mabrouk (University of Monastir, Tunisia & University of Kairouan, Tunisia, University of Tabuk, Saudi Arabia), Sabrine Arfaoui (University of Monastir, Tunisia, University of Tabuk, Saudi Arabia) New Jersey ; London ; Singapore ; Beijing ; Shanghai ; Hong Kong ; Taipei ; Chennai ; Tokyo World Scientific [2022] xvii, 221 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Series on advances in mathematics for applied sciences vol. 91 Includes bibliographical references and index "The aim of this book is to provide a basic and self-contained introduction to the ideas underpinning fractal analysis. The book illustrates some important applications issued from real data sets, real physical and natural phenomena as well as real applications in different fields, and consequently, presents to the readers the opportunity to implement fractal analysis in their specialties according to the step-by-step guide found in the book. Besides advanced undergraduate students, graduate students and senior researchers, this book may also serve scientists and research workers from industrial settings, where fractals and multifractals are required for modeling real-world phenomena and data, such as finance, medicine, engineering, transport, images, signals, among others. For the theorists, rigorous mathematical developments are established with necessary prerequisites that make the book self-containing. For the practitioner often interested in model building and analysis, we provide the cornerstone ideas"-- Fraktal (DE-588)4123220-3 gnd rswk-swf Fraktale Dimension (DE-588)4796905-2 gnd rswk-swf Hausdorff-Maß (DE-588)4159238-4 gnd rswk-swf Martingal (DE-588)4126466-6 gnd rswk-swf Kapazität Mathematik (DE-588)4163239-4 gnd rswk-swf Maßtheorie (DE-588)4074626-4 gnd rswk-swf Multifraktal (DE-588)4808941-2 gnd rswk-swf Fractal analysis Fraktal (DE-588)4123220-3 s Multifraktal (DE-588)4808941-2 s Maßtheorie (DE-588)4074626-4 s Martingal (DE-588)4126466-6 s Hausdorff-Maß (DE-588)4159238-4 s Kapazität Mathematik (DE-588)4163239-4 s Fraktale Dimension (DE-588)4796905-2 s DE-604 Mabrouk, Anouar Ben Verfasser (DE-588)1133591086 aut Arfaoui, Sabrine Verfasser (DE-588)1133590349 aut Erscheint auch als Online-Ausgabe 978-981-123-944-1 Erscheint auch als Online-Ausgabe 978-981-123-945-8 Series on advances in mathematics for applied sciences vol. 91 (DE-604)BV004569239 91 B:DE-89 V:DE-601 pdf/application https://www.gbv.de/dms/tib-ub-hannover/1785505335.pdf 2022-08-19 Inhaltsverzeichnis https://zbmath.org/?q=an%3A7502746 zbMATH Review |
| spellingShingle | Cattani, Carlo 1954- Mabrouk, Anouar Ben Arfaoui, Sabrine Fractal analysis basic concepts and applications Series on advances in mathematics for applied sciences Fraktal (DE-588)4123220-3 gnd Fraktale Dimension (DE-588)4796905-2 gnd Hausdorff-Maß (DE-588)4159238-4 gnd Martingal (DE-588)4126466-6 gnd Kapazität Mathematik (DE-588)4163239-4 gnd Maßtheorie (DE-588)4074626-4 gnd Multifraktal (DE-588)4808941-2 gnd |
| subject_GND | (DE-588)4123220-3 (DE-588)4796905-2 (DE-588)4159238-4 (DE-588)4126466-6 (DE-588)4163239-4 (DE-588)4074626-4 (DE-588)4808941-2 |
| title | Fractal analysis basic concepts and applications |
| title_auth | Fractal analysis basic concepts and applications |
| title_exact_search | Fractal analysis basic concepts and applications |
| title_exact_search_txtP | Fractal analysis basic concepts and applications |
| title_full | Fractal analysis basic concepts and applications Carlo Cattani (University of Tuscia, Italy), Anouar Ben Mabrouk (University of Monastir, Tunisia & University of Kairouan, Tunisia, University of Tabuk, Saudi Arabia), Sabrine Arfaoui (University of Monastir, Tunisia, University of Tabuk, Saudi Arabia) |
| title_fullStr | Fractal analysis basic concepts and applications Carlo Cattani (University of Tuscia, Italy), Anouar Ben Mabrouk (University of Monastir, Tunisia & University of Kairouan, Tunisia, University of Tabuk, Saudi Arabia), Sabrine Arfaoui (University of Monastir, Tunisia, University of Tabuk, Saudi Arabia) |
| title_full_unstemmed | Fractal analysis basic concepts and applications Carlo Cattani (University of Tuscia, Italy), Anouar Ben Mabrouk (University of Monastir, Tunisia & University of Kairouan, Tunisia, University of Tabuk, Saudi Arabia), Sabrine Arfaoui (University of Monastir, Tunisia, University of Tabuk, Saudi Arabia) |
| title_short | Fractal analysis |
| title_sort | fractal analysis basic concepts and applications |
| title_sub | basic concepts and applications |
| topic | Fraktal (DE-588)4123220-3 gnd Fraktale Dimension (DE-588)4796905-2 gnd Hausdorff-Maß (DE-588)4159238-4 gnd Martingal (DE-588)4126466-6 gnd Kapazität Mathematik (DE-588)4163239-4 gnd Maßtheorie (DE-588)4074626-4 gnd Multifraktal (DE-588)4808941-2 gnd |
| topic_facet | Fraktal Fraktale Dimension Hausdorff-Maß Martingal Kapazität Mathematik Maßtheorie Multifraktal |
| url | https://www.gbv.de/dms/tib-ub-hannover/1785505335.pdf https://zbmath.org/?q=an%3A7502746 |
| volume_link | (DE-604)BV004569239 |
| work_keys_str_mv | AT cattanicarlo fractalanalysisbasicconceptsandapplications AT mabroukanouarben fractalanalysisbasicconceptsandapplications AT arfaouisabrine fractalanalysisbasicconceptsandapplications |