Topological Modeling for Visualization:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Tokyo
Springer Japan
1997
|
| Schlagwörter: | |
| Links: | https://doi.org/10.1007/978-4-431-66956-2 |
| Beschreibung: | The flood of information through various computer networks such as the In ternet characterizes the world situation in which we live. Information worlds, often called virtual spaces and cyberspaces, have been formed on computer networks. The complexity of information worlds has been increasing almost exponentially through the exponential growth of computer networks. Such nonlinearity in growth and in scope characterizes information worlds. In other words, the characterization of nonlinearity is the key to understanding, utiliz ing and living with the flood of information. The characterization approach is by characteristic points such as peaks, pits, and passes, according to the Morse theory. Another approach is by singularity signs such as folds and cusps. Atoms and molecules are the other fundamental characterization ap proach. Topology and geometry, including differential topology, serve as the framework for the characterization. Topological Modeling for Visualization is a textbook for those interested in this characterization, to understand what it is and how to do it. Understanding is the key to utilizing information worlds and to living with the changes in the real world. Writing this textbook required careful preparation by the authors. There are complex mathematical concepts that require designing a writing style that facilitates understanding and appeals to the reader. To evolve a style, we set as a main goal of this book the establishment of a link between the theoretical aspects of modern geometry and topology, on the one hand, and experimental computer geometry, on the other |
| Umfang: | 1 Online-Ressource (X, 395 p) |
| ISBN: | 9784431669562 9784431669586 |
| DOI: | 10.1007/978-4-431-66956-2 |
Internformat
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| 245 | 1 | 0 | |a Topological Modeling for Visualization |c by Anatolij T. Fomenko, Tosiyasu L. Kunii |
| 264 | 1 | |a Tokyo |b Springer Japan |c 1997 | |
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| 500 | |a The flood of information through various computer networks such as the In ternet characterizes the world situation in which we live. Information worlds, often called virtual spaces and cyberspaces, have been formed on computer networks. The complexity of information worlds has been increasing almost exponentially through the exponential growth of computer networks. Such nonlinearity in growth and in scope characterizes information worlds. In other words, the characterization of nonlinearity is the key to understanding, utiliz ing and living with the flood of information. The characterization approach is by characteristic points such as peaks, pits, and passes, according to the Morse theory. Another approach is by singularity signs such as folds and cusps. Atoms and molecules are the other fundamental characterization ap proach. Topology and geometry, including differential topology, serve as the framework for the characterization. Topological Modeling for Visualization is a textbook for those interested in this characterization, to understand what it is and how to do it. Understanding is the key to utilizing information worlds and to living with the changes in the real world. Writing this textbook required careful preparation by the authors. There are complex mathematical concepts that require designing a writing style that facilitates understanding and appeals to the reader. To evolve a style, we set as a main goal of this book the establishment of a link between the theoretical aspects of modern geometry and topology, on the one hand, and experimental computer geometry, on the other | ||
| 650 | 4 | |a Mathematics | |
| 650 | 4 | |a Computer graphics | |
| 650 | 4 | |a Visualization | |
| 650 | 4 | |a Cell aggregation / Mathematics | |
| 650 | 4 | |a Manifolds and Cell Complexes (incl. Diff.Topology) | |
| 650 | 4 | |a Computer Graphics | |
| 650 | 4 | |a Mathematik | |
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| 700 | 1 | |a Kunii, Tosiyasu L. |e Sonstige |4 oth | |
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Datensatz im Suchindex
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|---|---|
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| author | Fomenko, Anatolij T. |
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| author_variant | a t f at atf |
| building | Verbundindex |
| bvnumber | BV042423596 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)1184486310 (DE-599)BVBBV042423596 |
| dewey-full | 514.34 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514.34 |
| dewey-search | 514.34 |
| dewey-sort | 3514.34 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-4-431-66956-2 |
| format | Electronic eBook |
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| id | DE-604.BV042423596 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T17:10:49Z |
| institution | BVB |
| isbn | 9784431669562 9784431669586 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027859013 |
| oclc_num | 1184486310 |
| open_access_boolean | |
| owner | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| physical | 1 Online-Ressource (X, 395 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Springer Japan |
| record_format | marc |
| spellingShingle | Fomenko, Anatolij T. Topological Modeling for Visualization Mathematics Computer graphics Visualization Cell aggregation / Mathematics Manifolds and Cell Complexes (incl. Diff.Topology) Computer Graphics Mathematik Topologie (DE-588)4060425-1 gnd Geometrische Modellierung (DE-588)4156717-1 gnd Differentialgeometrie (DE-588)4012248-7 gnd |
| subject_GND | (DE-588)4060425-1 (DE-588)4156717-1 (DE-588)4012248-7 |
| title | Topological Modeling for Visualization |
| title_auth | Topological Modeling for Visualization |
| title_exact_search | Topological Modeling for Visualization |
| title_full | Topological Modeling for Visualization by Anatolij T. Fomenko, Tosiyasu L. Kunii |
| title_fullStr | Topological Modeling for Visualization by Anatolij T. Fomenko, Tosiyasu L. Kunii |
| title_full_unstemmed | Topological Modeling for Visualization by Anatolij T. Fomenko, Tosiyasu L. Kunii |
| title_short | Topological Modeling for Visualization |
| title_sort | topological modeling for visualization |
| topic | Mathematics Computer graphics Visualization Cell aggregation / Mathematics Manifolds and Cell Complexes (incl. Diff.Topology) Computer Graphics Mathematik Topologie (DE-588)4060425-1 gnd Geometrische Modellierung (DE-588)4156717-1 gnd Differentialgeometrie (DE-588)4012248-7 gnd |
| topic_facet | Mathematics Computer graphics Visualization Cell aggregation / Mathematics Manifolds and Cell Complexes (incl. Diff.Topology) Computer Graphics Mathematik Topologie Geometrische Modellierung Differentialgeometrie |
| url | https://doi.org/10.1007/978-4-431-66956-2 |
| work_keys_str_mv | AT fomenkoanatolijt topologicalmodelingforvisualization AT kuniitosiyasul topologicalmodelingforvisualization |