The Geometric Vein: The Coxeter Festschrift
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1981
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Geometry has been defined as that part of mathematics which makes appeal to the sense of sight; but this definition is thrown in doubt by the existence of great geometers who were blind or nearly so, such as Leonhard Euler. Sometimes it seems that geometric methods in analysis, so-called, consist in having recourse to notions outside those apparently relevant, so that geometry must be the joining of unlike strands; but then what shall we say of the importance of axiomatic programmes in geometry, where reference to notions outside a restricted reper tory is banned? Whatever its definition, geometry clearly has been more than the sum of its results, more than the consequences of some few axiom sets. It has been a major current in mathematics, with a distinctive approach and a distinc ti v e spirit. A current, furthermore, which has not been constant. In the 1930s, after a period of pervasive prominence, it appeared to be in decline, even passe. These same years were those in which H. S. M. Coxeter was beginning his scientific work. Undeterred by the unfashionability of geometry, Coxeter pursued it with devotion and inspiration. By the 1950s he appeared to the broader mathematical world as a consummate practitioner of a peculiar, out-of-the-way art. Today there is no longer anything that out-of-the-way about it. Coxeter has contributed to, exemplified, we could almost say presided over an unanticipated and dra matic revival of geometry |
| Beschreibung: | 1 Online-Ressource (598p) |
| ISBN: | 9781461256489 9781461256502 |
| DOI: | 10.1007/978-1-4612-5648-9 |
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Datensatz im Suchindex
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| adam_text | |
| any_adam_object | |
| author | Davis, Chandler 1926-2022 |
| author_GND | (DE-588)119451441 (DE-588)1067945075 |
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| author_role | aut |
| author_sort | Davis, Chandler 1926-2022 |
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| building | Verbundindex |
| bvnumber | BV042420411 |
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| collection | ZDB-2-SMA ZDB-2-BAE |
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| 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 | 10.1007/978-1-4612-5648-9 |
| format | Electronic eBook |
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| spelling | Davis, Chandler 1926-2022 Verfasser (DE-588)119451441 aut The Geometric Vein The Coxeter Festschrift edited by Chandler Davis, Branko Grünbaum, F. A. Sherk New York, NY Springer New York 1981 1 Online-Ressource (598p) txt rdacontent c rdamedia cr rdacarrier Geometry has been defined as that part of mathematics which makes appeal to the sense of sight; but this definition is thrown in doubt by the existence of great geometers who were blind or nearly so, such as Leonhard Euler. Sometimes it seems that geometric methods in analysis, so-called, consist in having recourse to notions outside those apparently relevant, so that geometry must be the joining of unlike strands; but then what shall we say of the importance of axiomatic programmes in geometry, where reference to notions outside a restricted reper tory is banned? Whatever its definition, geometry clearly has been more than the sum of its results, more than the consequences of some few axiom sets. It has been a major current in mathematics, with a distinctive approach and a distinc ti v e spirit. A current, furthermore, which has not been constant. In the 1930s, after a period of pervasive prominence, it appeared to be in decline, even passe. These same years were those in which H. S. M. Coxeter was beginning his scientific work. Undeterred by the unfashionability of geometry, Coxeter pursued it with devotion and inspiration. By the 1950s he appeared to the broader mathematical world as a consummate practitioner of a peculiar, out-of-the-way art. Today there is no longer anything that out-of-the-way about it. Coxeter has contributed to, exemplified, we could almost say presided over an unanticipated and dra matic revival of geometry Coxeter, Harold S. M. 1907-2003 (DE-588)118522507 gnd rswk-swf Mathematics Geometry Mathematik Bibliografie (DE-588)4006432-3 gnd rswk-swf Geometrie (DE-588)4020236-7 gnd rswk-swf 1\p (DE-588)4143413-4 Aufsatzsammlung gnd-content 2\p (DE-588)4016928-5 Festschrift gnd-content 3\p (DE-588)1071861417 Konferenzschrift gnd-content Coxeter, Harold S. M. 1907-2003 (DE-588)118522507 p Geometrie (DE-588)4020236-7 s 4\p DE-604 Bibliografie (DE-588)4006432-3 s 5\p DE-604 Grünbaum, Branko 1929-2018 Sonstige (DE-588)1067945075 oth Sherk, Frank A. Sonstige oth https://doi.org/10.1007/978-1-4612-5648-9 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 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 5\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Davis, Chandler 1926-2022 The Geometric Vein The Coxeter Festschrift Coxeter, Harold S. M. 1907-2003 (DE-588)118522507 gnd Mathematics Geometry Mathematik Bibliografie (DE-588)4006432-3 gnd Geometrie (DE-588)4020236-7 gnd |
| subject_GND | (DE-588)118522507 (DE-588)4006432-3 (DE-588)4020236-7 (DE-588)4143413-4 (DE-588)4016928-5 (DE-588)1071861417 |
| title | The Geometric Vein The Coxeter Festschrift |
| title_auth | The Geometric Vein The Coxeter Festschrift |
| title_exact_search | The Geometric Vein The Coxeter Festschrift |
| title_full | The Geometric Vein The Coxeter Festschrift edited by Chandler Davis, Branko Grünbaum, F. A. Sherk |
| title_fullStr | The Geometric Vein The Coxeter Festschrift edited by Chandler Davis, Branko Grünbaum, F. A. Sherk |
| title_full_unstemmed | The Geometric Vein The Coxeter Festschrift edited by Chandler Davis, Branko Grünbaum, F. A. Sherk |
| title_short | The Geometric Vein |
| title_sort | the geometric vein the coxeter festschrift |
| title_sub | The Coxeter Festschrift |
| topic | Coxeter, Harold S. M. 1907-2003 (DE-588)118522507 gnd Mathematics Geometry Mathematik Bibliografie (DE-588)4006432-3 gnd Geometrie (DE-588)4020236-7 gnd |
| topic_facet | Coxeter, Harold S. M. 1907-2003 Mathematics Geometry Mathematik Bibliografie Geometrie Aufsatzsammlung Festschrift Konferenzschrift |
| url | https://doi.org/10.1007/978-1-4612-5648-9 |
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