The transformation of mathematics in the early Mediterranean world: from problems to equations
The transformation of mathematics from ancient Greece to the medieval Arab-speaking world is here approached by focusing on a single problem proposed by Archimedes and the many solutions offered. In this trajectory Reviel Netz follows the change in the task from solving a geometrical problem to its...
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge [u.a.]
Cambridge Univ. Press
2004
|
| Schriftenreihe: | Cambridge classical studies
|
| Schlagwörter: | |
| Links: | https://doi.org/10.1017/CBO9780511720000 https://doi.org/10.1017/CBO9780511720000 https://doi.org/10.1017/CBO9780511720000 https://doi.org/10.1017/CBO9780511720000 https://doi.org/10.1017/CBO9780511720000 |
| Zusammenfassung: | The transformation of mathematics from ancient Greece to the medieval Arab-speaking world is here approached by focusing on a single problem proposed by Archimedes and the many solutions offered. In this trajectory Reviel Netz follows the change in the task from solving a geometrical problem to its expression as an equation, still formulated geometrically, and then on to an algebraic problem, now handled by procedures that are more like rules of manipulation. From a practice of mathematics based on the localized solution (and grounded in the polemical practices of early Greek science) we see a transition to a practice of mathematics based on the systematic approach (and grounded in the deuteronomic practices of Late Antiquity and the Middle Ages). With three chapters ranging chronologically from Hellenistic mathematics, through late Antiquity, to the medieval world, Reviel Netz offers an alternate interpretation of the historical journey of pre-modern mathematics |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) Erscheinungsjahr des E-Books: 2010 |
| Umfang: | 1 Online-Ressource (IX, 198 S.) Ill. |
| ISBN: | 9780511720000 |
| DOI: | 10.1017/CBO9780511720000 |
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Datensatz im Suchindex
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| any_adam_object | |
| author | Netz, Reviel 1968- |
| author_GND | (DE-588)133546160 |
| author_facet | Netz, Reviel 1968- |
| author_role | aut |
| author_sort | Netz, Reviel 1968- |
| author_variant | r n rn |
| building | Verbundindex |
| bvnumber | BV043922213 |
| classification_rvk | SG 500 SG 545 |
| collection | ZDB-20-CBO |
| contents | The problem in the world of Archimedes -- From Archimedes to Eutocius -- From Archimedes to Khayyam |
| ctrlnum | (ZDB-20-CBO)CR9780511720000 (OCoLC)850094971 (DE-599)BVBBV043922213 |
| dewey-full | 510/.94 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510/.94 |
| dewey-search | 510/.94 |
| dewey-sort | 3510 294 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511720000 |
| era | Geschichte 250 v. Chr.-1500 gnd |
| era_facet | Geschichte 250 v. Chr.-1500 |
| format | Electronic eBook |
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| indexdate | 2024-12-20T17:48:40Z |
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| isbn | 9780511720000 |
| language | English |
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| record_format | marc |
| series2 | Cambridge classical studies |
| spelling | Netz, Reviel 1968- Verfasser (DE-588)133546160 aut The transformation of mathematics in the early Mediterranean world from problems to equations Reviel Netz Cambridge [u.a.] Cambridge Univ. Press 2004 1 Online-Ressource (IX, 198 S.) Ill. txt rdacontent c rdamedia cr rdacarrier Cambridge classical studies Title from publisher's bibliographic system (viewed on 05 Oct 2015) Erscheinungsjahr des E-Books: 2010 The problem in the world of Archimedes -- From Archimedes to Eutocius -- From Archimedes to Khayyam The transformation of mathematics from ancient Greece to the medieval Arab-speaking world is here approached by focusing on a single problem proposed by Archimedes and the many solutions offered. In this trajectory Reviel Netz follows the change in the task from solving a geometrical problem to its expression as an equation, still formulated geometrically, and then on to an algebraic problem, now handled by procedures that are more like rules of manipulation. From a practice of mathematics based on the localized solution (and grounded in the polemical practices of early Greek science) we see a transition to a practice of mathematics based on the systematic approach (and grounded in the deuteronomic practices of Late Antiquity and the Middle Ages). With three chapters ranging chronologically from Hellenistic mathematics, through late Antiquity, to the medieval world, Reviel Netz offers an alternate interpretation of the historical journey of pre-modern mathematics Geschichte 250 v. Chr.-1500 gnd rswk-swf Geschichte Mathematik Mathematics / Europe / History Mathematisches Problem (DE-588)4114530-6 gnd rswk-swf Mittelalter (DE-588)4129108-6 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Geometrische Methode (DE-588)4156715-8 gnd rswk-swf Wissenschaftsentwicklung (DE-588)4079355-2 gnd rswk-swf Algebraische Methode (DE-588)4141841-4 gnd rswk-swf Europa Europa (DE-588)4015701-5 gnd rswk-swf Griechenland Altertum (DE-588)4093976-5 gnd rswk-swf Europa (DE-588)4015701-5 g Mathematik (DE-588)4037944-9 s Wissenschaftsentwicklung (DE-588)4079355-2 s Mathematisches Problem (DE-588)4114530-6 s Geometrische Methode (DE-588)4156715-8 s Algebraische Methode (DE-588)4141841-4 s Geschichte 250 v. Chr.-1500 z DE-604 Griechenland Altertum (DE-588)4093976-5 g Mittelalter (DE-588)4129108-6 s Erscheint auch als Druck-Ausgabe 978-0-521-82996-0 Erscheint auch als Druck-Ausgabe 978-0-521-04174-4 Erscheint auch als Druck-Ausgabe 0-521-82996-8 (DE-604)BV019589310 https://doi.org/10.1017/CBO9780511720000 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Netz, Reviel 1968- The transformation of mathematics in the early Mediterranean world from problems to equations The problem in the world of Archimedes -- From Archimedes to Eutocius -- From Archimedes to Khayyam Geschichte Mathematik Mathematics / Europe / History Mathematisches Problem (DE-588)4114530-6 gnd Mittelalter (DE-588)4129108-6 gnd Mathematik (DE-588)4037944-9 gnd Geometrische Methode (DE-588)4156715-8 gnd Wissenschaftsentwicklung (DE-588)4079355-2 gnd Algebraische Methode (DE-588)4141841-4 gnd |
| subject_GND | (DE-588)4114530-6 (DE-588)4129108-6 (DE-588)4037944-9 (DE-588)4156715-8 (DE-588)4079355-2 (DE-588)4141841-4 (DE-588)4015701-5 (DE-588)4093976-5 |
| title | The transformation of mathematics in the early Mediterranean world from problems to equations |
| title_auth | The transformation of mathematics in the early Mediterranean world from problems to equations |
| title_exact_search | The transformation of mathematics in the early Mediterranean world from problems to equations |
| title_full | The transformation of mathematics in the early Mediterranean world from problems to equations Reviel Netz |
| title_fullStr | The transformation of mathematics in the early Mediterranean world from problems to equations Reviel Netz |
| title_full_unstemmed | The transformation of mathematics in the early Mediterranean world from problems to equations Reviel Netz |
| title_short | The transformation of mathematics in the early Mediterranean world |
| title_sort | the transformation of mathematics in the early mediterranean world from problems to equations |
| title_sub | from problems to equations |
| topic | Geschichte Mathematik Mathematics / Europe / History Mathematisches Problem (DE-588)4114530-6 gnd Mittelalter (DE-588)4129108-6 gnd Mathematik (DE-588)4037944-9 gnd Geometrische Methode (DE-588)4156715-8 gnd Wissenschaftsentwicklung (DE-588)4079355-2 gnd Algebraische Methode (DE-588)4141841-4 gnd |
| topic_facet | Geschichte Mathematik Mathematics / Europe / History Mathematisches Problem Mittelalter Geometrische Methode Wissenschaftsentwicklung Algebraische Methode Europa Griechenland Altertum |
| url | https://doi.org/10.1017/CBO9780511720000 |
| work_keys_str_mv | AT netzreviel thetransformationofmathematicsintheearlymediterraneanworldfromproblemstoequations |