Analysis on fractals:
This book covers analysis on fractals, a developing area of mathematics which focuses on the dynamical aspects of fractals, such as heat diffusion on fractals and the vibration of a material with fractal structure. The book provides a self-contained introduction to the subject, starting from the bas...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2001
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| Schriftenreihe: | Cambridge tracts in mathematics
143 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 UBR01 Volltext |
| Zusammenfassung: | This book covers analysis on fractals, a developing area of mathematics which focuses on the dynamical aspects of fractals, such as heat diffusion on fractals and the vibration of a material with fractal structure. The book provides a self-contained introduction to the subject, starting from the basic geometry of self-similar sets and going on to discuss recent results, including the properties of eigenvalues and eigenfunctions of the Laplacians, and the asymptotical behaviors of heat kernels on self-similar sets. Requiring only a basic knowledge of advanced analysis, general topology and measure theory, this book will be of value to graduate students and researchers in analysis and probability theory. It will also be useful as a supplementary text for graduate courses covering fractals |
| Beschreibung: | 1 Online-Ressource (viii, 226 Seiten) |
| ISBN: | 9780511470943 |
| DOI: | 10.1017/CBO9780511470943 |
Internformat
MARC
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| 490 | 0 | |a Cambridge tracts in mathematics |v 143 | |
| 505 | 8 | 0 | |t Geometry of self-similar sets |t Analysis on limits of networks |t Construction of laplacians on P.C.F. self similar structures |t Eigenvalues and eigenfunctions of laplacians |t Heat kernels |
| 520 | |a This book covers analysis on fractals, a developing area of mathematics which focuses on the dynamical aspects of fractals, such as heat diffusion on fractals and the vibration of a material with fractal structure. The book provides a self-contained introduction to the subject, starting from the basic geometry of self-similar sets and going on to discuss recent results, including the properties of eigenvalues and eigenfunctions of the Laplacians, and the asymptotical behaviors of heat kernels on self-similar sets. Requiring only a basic knowledge of advanced analysis, general topology and measure theory, this book will be of value to graduate students and researchers in analysis and probability theory. It will also be useful as a supplementary text for graduate courses covering fractals | ||
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Datensatz im Suchindex
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| author | Kigami, Jun 1960- |
| author_GND | (DE-588)13873674X |
| author_facet | Kigami, Jun 1960- |
| author_role | aut |
| author_sort | Kigami, Jun 1960- |
| author_variant | j k jk |
| building | Verbundindex |
| bvnumber | BV043941953 |
| classification_rvk | SK 450 SK 430 SK 380 |
| collection | ZDB-20-CBO |
| contents | Geometry of self-similar sets Analysis on limits of networks Construction of laplacians on P.C.F. self similar structures Eigenvalues and eigenfunctions of laplacians Heat kernels |
| ctrlnum | (ZDB-20-CBO)CR9780511470943 (OCoLC)849881568 (DE-599)BVBBV043941953 |
| dewey-full | 514/.742 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514/.742 |
| dewey-search | 514/.742 |
| dewey-sort | 3514 3742 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511470943 |
| format | Electronic eBook |
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| id | DE-604.BV043941953 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:16Z |
| institution | BVB |
| isbn | 9780511470943 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029350923 |
| oclc_num | 849881568 |
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| owner_facet | DE-12 DE-92 DE-355 DE-BY-UBR |
| physical | 1 Online-Ressource (viii, 226 Seiten) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO ZDB-20-CBO UBR Einzelkauf (Lückenergänzung CUP Serien 2018) |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | Cambridge tracts in mathematics |
| spelling | Kigami, Jun 1960- Verfasser (DE-588)13873674X aut Analysis on fractals Jun Kigami Cambridge Cambridge University Press 2001 1 Online-Ressource (viii, 226 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge tracts in mathematics 143 Geometry of self-similar sets Analysis on limits of networks Construction of laplacians on P.C.F. self similar structures Eigenvalues and eigenfunctions of laplacians Heat kernels This book covers analysis on fractals, a developing area of mathematics which focuses on the dynamical aspects of fractals, such as heat diffusion on fractals and the vibration of a material with fractal structure. The book provides a self-contained introduction to the subject, starting from the basic geometry of self-similar sets and going on to discuss recent results, including the properties of eigenvalues and eigenfunctions of the Laplacians, and the asymptotical behaviors of heat kernels on self-similar sets. Requiring only a basic knowledge of advanced analysis, general topology and measure theory, this book will be of value to graduate students and researchers in analysis and probability theory. It will also be useful as a supplementary text for graduate courses covering fractals Fractals Mathematical analysis Fraktal (DE-588)4123220-3 gnd rswk-swf Analysis (DE-588)4001865-9 gnd rswk-swf Fraktal (DE-588)4123220-3 s Analysis (DE-588)4001865-9 s DE-604 Erscheint auch als Druck-Ausgabe 978-0-521-79321-6 Erscheint auch als Druck-Ausgabe 978-0-521-05711-0 https://doi.org/10.1017/CBO9780511470943 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Kigami, Jun 1960- Analysis on fractals Geometry of self-similar sets Analysis on limits of networks Construction of laplacians on P.C.F. self similar structures Eigenvalues and eigenfunctions of laplacians Heat kernels Fractals Mathematical analysis Fraktal (DE-588)4123220-3 gnd Analysis (DE-588)4001865-9 gnd |
| subject_GND | (DE-588)4123220-3 (DE-588)4001865-9 |
| title | Analysis on fractals |
| title_alt | Geometry of self-similar sets Analysis on limits of networks Construction of laplacians on P.C.F. self similar structures Eigenvalues and eigenfunctions of laplacians Heat kernels |
| title_auth | Analysis on fractals |
| title_exact_search | Analysis on fractals |
| title_full | Analysis on fractals Jun Kigami |
| title_fullStr | Analysis on fractals Jun Kigami |
| title_full_unstemmed | Analysis on fractals Jun Kigami |
| title_short | Analysis on fractals |
| title_sort | analysis on fractals |
| topic | Fractals Mathematical analysis Fraktal (DE-588)4123220-3 gnd Analysis (DE-588)4001865-9 gnd |
| topic_facet | Fractals Mathematical analysis Fraktal Analysis |
| url | https://doi.org/10.1017/CBO9780511470943 |
| work_keys_str_mv | AT kigamijun analysisonfractals |