Visual Geometry and Topology:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1994
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Geometry and topology are strongly motivated by the visualization of ideal objects that have certain special characteristics. A clear formulation of a specific property or a logically consistent proof of a theorem often comes only after the mathematician has correctly "seen" what is going on. These pictures which are meant to serve as signposts leading to mathematical understanding, frequently also contain a beauty of their own. The principal aim of this book is to narrate, in an accessible and fairly visual language, about some classical and modern achievements of geometry and topology in both intrinsic mathematical problems and applications to mathematical physics. The book starts from classical notions of topology and ends with remarkable new results in Hamiltonian geometry. Fomenko lays special emphasis upon visual explanations of the problems and results and downplays the abstract logical aspects of calculations. As an example, readers can very quickly penetrate into the new theory of topological descriptions of integrable Hamiltonian differential equations. The book includes numerous graphical sheets drawn by the author, which are presented in special sections of "Visual material". These pictures illustrate the mathematical ideas and results contained in the book. Using these pictures, the reader can understand many modern mathematical ideas and methods. Although "Visual Geometry and Topology" is about mathematics, Fomenko has written and illustrated this book so that students and researchers from all the natural sciences and also artists and art students will find something of interest within its pages |
| Beschreibung: | 1 Online-Ressource (XVI, 324p. 287 illus) |
| ISBN: | 9783642762352 9783642762376 |
| DOI: | 10.1007/978-3-642-76235-2 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804153098122297344 |
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| author | Fomenko, Anatolij T. |
| author_facet | Fomenko, Anatolij T. |
| author_role | aut |
| author_sort | Fomenko, Anatolij T. |
| author_variant | a t f at atf |
| building | Verbundindex |
| bvnumber | BV042422986 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)863817111 (DE-599)BVBBV042422986 |
| dewey-full | 516 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516 |
| dewey-search | 516 |
| dewey-sort | 3516 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-642-76235-2 |
| format | Electronic eBook |
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| id | DE-604.BV042422986 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:12Z |
| institution | BVB |
| isbn | 9783642762352 9783642762376 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027858403 |
| oclc_num | 863817111 |
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| physical | 1 Online-Ressource (XVI, 324p. 287 illus) |
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| publishDate | 1994 |
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| publisher | Springer Berlin Heidelberg |
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| spelling | Fomenko, Anatolij T. Verfasser aut Visual Geometry and Topology by Anatolij T. Fomenko Berlin, Heidelberg Springer Berlin Heidelberg 1994 1 Online-Ressource (XVI, 324p. 287 illus) txt rdacontent c rdamedia cr rdacarrier Geometry and topology are strongly motivated by the visualization of ideal objects that have certain special characteristics. A clear formulation of a specific property or a logically consistent proof of a theorem often comes only after the mathematician has correctly "seen" what is going on. These pictures which are meant to serve as signposts leading to mathematical understanding, frequently also contain a beauty of their own. The principal aim of this book is to narrate, in an accessible and fairly visual language, about some classical and modern achievements of geometry and topology in both intrinsic mathematical problems and applications to mathematical physics. The book starts from classical notions of topology and ends with remarkable new results in Hamiltonian geometry. Fomenko lays special emphasis upon visual explanations of the problems and results and downplays the abstract logical aspects of calculations. As an example, readers can very quickly penetrate into the new theory of topological descriptions of integrable Hamiltonian differential equations. The book includes numerous graphical sheets drawn by the author, which are presented in special sections of "Visual material". These pictures illustrate the mathematical ideas and results contained in the book. Using these pictures, the reader can understand many modern mathematical ideas and methods. Although "Visual Geometry and Topology" is about mathematics, Fomenko has written and illustrated this book so that students and researchers from all the natural sciences and also artists and art students will find something of interest within its pages Mathematics Geometry Topology Theoretical, Mathematical and Computational Physics Mathematik Visualisierung (DE-588)4188417-6 gnd rswk-swf Topologie (DE-588)4060425-1 gnd rswk-swf Geometrie (DE-588)4020236-7 gnd rswk-swf Geometrie (DE-588)4020236-7 s Visualisierung (DE-588)4188417-6 s 1\p DE-604 Topologie (DE-588)4060425-1 s 2\p DE-604 https://doi.org/10.1007/978-3-642-76235-2 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Fomenko, Anatolij T. Visual Geometry and Topology Mathematics Geometry Topology Theoretical, Mathematical and Computational Physics Mathematik Visualisierung (DE-588)4188417-6 gnd Topologie (DE-588)4060425-1 gnd Geometrie (DE-588)4020236-7 gnd |
| subject_GND | (DE-588)4188417-6 (DE-588)4060425-1 (DE-588)4020236-7 |
| title | Visual Geometry and Topology |
| title_auth | Visual Geometry and Topology |
| title_exact_search | Visual Geometry and Topology |
| title_full | Visual Geometry and Topology by Anatolij T. Fomenko |
| title_fullStr | Visual Geometry and Topology by Anatolij T. Fomenko |
| title_full_unstemmed | Visual Geometry and Topology by Anatolij T. Fomenko |
| title_short | Visual Geometry and Topology |
| title_sort | visual geometry and topology |
| topic | Mathematics Geometry Topology Theoretical, Mathematical and Computational Physics Mathematik Visualisierung (DE-588)4188417-6 gnd Topologie (DE-588)4060425-1 gnd Geometrie (DE-588)4020236-7 gnd |
| topic_facet | Mathematics Geometry Topology Theoretical, Mathematical and Computational Physics Mathematik Visualisierung Topologie Geometrie |
| url | https://doi.org/10.1007/978-3-642-76235-2 |
| work_keys_str_mv | AT fomenkoanatolijt visualgeometryandtopology |