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Works of archimedes : the two books on the sphere and the cylinder.
This is Volume 1 of the first authoritative translation of Archimedes' works into English. Also provided are a scientific edition of the diagrams, a translation of the ancient commentator Eutocius and a commentary, where attention is paid to the cognitive and aesthetic nature of Archimedes'...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge :
Cambridge Univ Press,
2004.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a22000003i 4500 | ||
|---|---|---|---|
| 001 | EBOOKCENTRAL_ocn171138705 | ||
| 003 | OCoLC | ||
| 005 | 20240329122006.0 | ||
| 006 | m o d | ||
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| 008 | 070912s2004 enk o 000 0 eng d | ||
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| 049 | |a UAMI | ||
| 100 | 1 | |a Archimedes. | |
| 245 | 1 | 0 | |a Works of archimedes : |b the two books on the sphere and the cylinder. |
| 260 | |a Cambridge : |b Cambridge Univ Press, |c 2004. | ||
| 300 | |a 1 online resource (volumes) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 500 | |a V. 1. | ||
| 520 | |a This is Volume 1 of the first authoritative translation of Archimedes' works into English. Also provided are a scientific edition of the diagrams, a translation of the ancient commentator Eutocius and a commentary, where attention is paid to the cognitive and aesthetic nature of Archimedes' mathematical practice. | ||
| 505 | 0 | |a COVER; HALF-TITLE; TITLE; COPYRIGHT; DEDICATION; CONTENTS; ACKNOWLEDGMENTS; INTRODUCTION; 1 goal of the translation; 2 preliminary notes: conventions; 2.1 Some special conventions of Greek mathematics; 2.2 Special conventions adopted in this translation; 2.3 Purpose and practices of the critical edition of diagrams; 3 preliminary notes: archimedes ́works; 3.1 Archimedes and his works; 3.2 The text of Archimedes; 3.3 The two books On the Sphere and the Cylinder; TRANSLATION AND COMMENTARY; ON THE SPHERE AND THE CYLINDER, BOOK I; /Introduction: general/; textual comments; general comments. | |
| 505 | 8 | |a Introduction: the genreArchimedes' audience: conon and dositheus; /"Axiomatic" introduction/; /Definitions/; /Postulates/; textual comments; general comments; Definitions 1-4; Postulates 1-2: about what?; Unpacking Postulate 2; Unpacking Postulate 3; The overall structure of Definitions 1-4, Postulates 1-4; Postulate 5; /1/; textual comments; general comments; The use of the diagram; The use of the axiomatic introduction; Generality of the proof; /2/; textual comments; general comments; Existence and realism; Shortcuts used in exposition. | |
| 505 | 8 | |a Schematic nature and the intended generality of the diagram/3/; textual comments; general comments; The scholiast's regress; /4/; textual comments; general comments; Repetition of text, and virtual mathematical actions; /5/; textual comments; general comments; Impatience revealed in exposition; /6/; textual comments; general comments; Lack of pedagogic concerns; Meta-mathematical interests displayed in the text; /7/; textual comments; general comments; Equality and identity; The "grounds" for a claim; /8/; textual comments; general comments. | |
| 505 | 8 | |a The significance of different ways of naming objectsGenerality and the use of letters referring to the diagram; /9/; textual comments; general comments; Bifurcating structure of proof; Ambiguities and their implication for the author/audience attitude; /10/; textual comments; general comments; What is the sequence of actions inside a construction?; The role of the axiomatic discussion; /11/; textual comments; general comments; The significance of different ways of using letters; Operations on phrases as a tool for argumentation; /12/; textual comments; general comments. | |
| 505 | 8 | |a The extent to which words are allowed to shiftThe operation of "imagination"; A tendency to abbreviate; /Sequel to sequence 9-12/; textual and general comments; /13/; textual comments; general comments; Equalities and inequalities; Arguments based on division of logical space; Relations between parts of text; Some notes on operations with ratios; /14/; textual comments; general comments; Different layers of imagination; /15/; textual comments; general comments; Reference to Proposition 14; /16/; textual comments; general comments; The phenomenon of arguments that are left implicit. | |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Mathematics, Greek. | |
| 650 | 0 | |a Geometry |v Early works to 1800. | |
| 650 | 0 | |a Mechanics |v Early works to 1800. | |
| 650 | 6 | |a Mathématiques grecques. | |
| 650 | 6 | |a Géométrie |v Ouvrages avant 1800. | |
| 650 | 6 | |a Mécanique |v Ouvrages avant 1800. | |
| 650 | 7 | |a Geometry |2 fast | |
| 650 | 7 | |a Mathematics, Greek |2 fast | |
| 650 | 7 | |a Mechanics |2 fast | |
| 655 | 7 | |a Early works |2 fast | |
| 776 | 0 | 8 | |i Print version: |a Archimedes. |t Works of Archimedes : Volume 1, Two Books On the Sphere and the Cylinder:Translation and Commentary. |d West Nyack : Cambridge University Press, ©2004 |z 9780521661607 |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=259856 |z Texto completo |
| 938 | |a EBL - Ebook Library |b EBLB |n EBL259856 | ||
| 938 | |a YBP Library Services |b YANK |n 2619434 | ||
| 994 | |a 92 |b IZTAP | ||