The History of Combinatorial Group Theory: A Case Study in the History of Ideas
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1982
|
| Schriftenreihe: | Studies in the History of Mathematics and Physical Sciences
9 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | One of the pervasive phenomena in the history of science is the development of independent disciplines from the solution or attempted solutions of problems in other areas of science. In the Twentieth Century, the creation of specialties witqin the sciences has accelerated to the point where a large number of scientists in any major branch of science cannot understand the work of a colleague in another subdiscipline of his own science. Despite this fragmentation, the development of techniques or solutions of problems in one area very often contribute fundamentally to solutions of problems in a seemingly unrelated field. Therefore, an examination of this phenomenon of the formation of independent disciplines within the sciences would contrib ute to the understanding of their evolution in modern times. We believe that in this context the history of combinatorial group theory in the late Nineteenth Century and the Twentieth Century can be used effectively as a case study. It is a reasonably well-defined independent specialty, and yet it is closely related to other mathematical disciplines. The fact that combinatorial group theory has, so far, not been influenced by the practical needs of science and technology makes it possible for us to use combinatorial group theory to exhibit the role of the intellectual aspects of the development of mathematics in a clearcut manner. There are other features of combinatorial group theory which appear to make it a reasona ble choice as the object of a historical study |
| Beschreibung: | 1 Online-Ressource (VIII, 234p) |
| ISBN: | 9781461394877 9781461394891 |
| ISSN: | 0172-570X |
| DOI: | 10.1007/978-1-4613-9487-7 |
Internformat
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Datensatz im Suchindex
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| author | Chandler, Bruce |
| author_facet | Chandler, Bruce |
| author_role | aut |
| author_sort | Chandler, Bruce |
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| building | Verbundindex |
| bvnumber | BV042420796 |
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| ctrlnum | (OCoLC)863814692 (DE-599)BVBBV042420796 |
| dewey-full | 512.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.2 |
| dewey-search | 512.2 |
| dewey-sort | 3512.2 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4613-9487-7 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
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| isbn | 9781461394877 9781461394891 |
| issn | 0172-570X |
| language | English |
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| spelling | Chandler, Bruce Verfasser aut The History of Combinatorial Group Theory A Case Study in the History of Ideas by Bruce Chandler, Wilhelm Magnus New York, NY Springer New York 1982 1 Online-Ressource (VIII, 234p) txt rdacontent c rdamedia cr rdacarrier Studies in the History of Mathematics and Physical Sciences 9 0172-570X One of the pervasive phenomena in the history of science is the development of independent disciplines from the solution or attempted solutions of problems in other areas of science. In the Twentieth Century, the creation of specialties witqin the sciences has accelerated to the point where a large number of scientists in any major branch of science cannot understand the work of a colleague in another subdiscipline of his own science. Despite this fragmentation, the development of techniques or solutions of problems in one area very often contribute fundamentally to solutions of problems in a seemingly unrelated field. Therefore, an examination of this phenomenon of the formation of independent disciplines within the sciences would contrib ute to the understanding of their evolution in modern times. We believe that in this context the history of combinatorial group theory in the late Nineteenth Century and the Twentieth Century can be used effectively as a case study. It is a reasonably well-defined independent specialty, and yet it is closely related to other mathematical disciplines. The fact that combinatorial group theory has, so far, not been influenced by the practical needs of science and technology makes it possible for us to use combinatorial group theory to exhibit the role of the intellectual aspects of the development of mathematics in a clearcut manner. There are other features of combinatorial group theory which appear to make it a reasona ble choice as the object of a historical study Mathematics Group theory Group Theory and Generalizations Mathematik Gruppentheorie (DE-588)4072157-7 gnd rswk-swf Kombinatorische Gruppentheorie (DE-588)4219556-1 gnd rswk-swf Geschichte (DE-588)4020517-4 gnd rswk-swf Kombinatorische Gruppentheorie (DE-588)4219556-1 s Geschichte (DE-588)4020517-4 s 1\p DE-604 Gruppentheorie (DE-588)4072157-7 s 2\p DE-604 Magnus, Wilhelm Sonstige oth https://doi.org/10.1007/978-1-4613-9487-7 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 | Chandler, Bruce The History of Combinatorial Group Theory A Case Study in the History of Ideas Mathematics Group theory Group Theory and Generalizations Mathematik Gruppentheorie (DE-588)4072157-7 gnd Kombinatorische Gruppentheorie (DE-588)4219556-1 gnd Geschichte (DE-588)4020517-4 gnd |
| subject_GND | (DE-588)4072157-7 (DE-588)4219556-1 (DE-588)4020517-4 |
| title | The History of Combinatorial Group Theory A Case Study in the History of Ideas |
| title_auth | The History of Combinatorial Group Theory A Case Study in the History of Ideas |
| title_exact_search | The History of Combinatorial Group Theory A Case Study in the History of Ideas |
| title_full | The History of Combinatorial Group Theory A Case Study in the History of Ideas by Bruce Chandler, Wilhelm Magnus |
| title_fullStr | The History of Combinatorial Group Theory A Case Study in the History of Ideas by Bruce Chandler, Wilhelm Magnus |
| title_full_unstemmed | The History of Combinatorial Group Theory A Case Study in the History of Ideas by Bruce Chandler, Wilhelm Magnus |
| title_short | The History of Combinatorial Group Theory |
| title_sort | the history of combinatorial group theory a case study in the history of ideas |
| title_sub | A Case Study in the History of Ideas |
| topic | Mathematics Group theory Group Theory and Generalizations Mathematik Gruppentheorie (DE-588)4072157-7 gnd Kombinatorische Gruppentheorie (DE-588)4219556-1 gnd Geschichte (DE-588)4020517-4 gnd |
| topic_facet | Mathematics Group theory Group Theory and Generalizations Mathematik Gruppentheorie Kombinatorische Gruppentheorie Geschichte |
| url | https://doi.org/10.1007/978-1-4613-9487-7 |
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