Prolegomena Mathematica: From Apollonius of Perga to the Late Neoplatonism. With an Appendix on Pappus and the History of Platonism

Prolegomena Mathematica: From Apollonius of Perga to the Late Neoplatonism. With an Appendix on Pappus and the History of Platonism

by Jaap Mansfeld
     
 

This is the first study to deal with Greek mathematics from the viewpoint of cultural history. Mathematics, and especially the teaching of mathematics, did not proceed in isolation, but developed along lines parallel to the development of general literate culture.See more details below

Overview

This is the first study to deal with Greek mathematics from the viewpoint of cultural history. Mathematics, and especially the teaching of mathematics, did not proceed in isolation, but developed along lines parallel to the development of general literate culture.

Product Details

ISBN-13:
9789004112674
Publisher:
Brill Academic Publishers, Inc.
Publication date:
09/16/1998
Series:
Philosophia Antiqua Series, #80
Pages:
182
Product dimensions:
6.36(w) x 9.56(h) x 0.69(d)

Related Subjects

Table of Contents

Preface
Ch. IPreliminaries1
Ch. IIPappus' Collectio6
II 1Introduction6
II 2Collectio Book VII9
II 3Collectio Book VI14
II 4Further Evidence from the Collectio20
Ch. IIICommentaries on Euclid, the Scholia on Euclid's Elements and Pappus' Commentary on Book X23
III 1Comments and Commentaries on the Elements and Data23
III 2The Scholia in Euclidem: Proclus, Pappus and Others26
III 3Pappus' Commentary on Elements Book X31
Ch. IVApollonius' Proems and Eutocius' Commentary36
IV 1The Proems of Apollonius' Conica36
IV 2Eutocius' Commentary on Apollonius' Conica I-IV40
Ch. VEutocius' Commentaries on Archimedes, and the Vita44
V 1Archimedes' Proems44
V 2Eutocius' Commentaries on Archimedes45
V 3The Vita of Archimedes48
Ch. VIHeron of Alexandria49
VI 1Introduction49
VI 2The Belopoiica49
VI 3The Pneumatica50
VI 4The Automata51
VI 5The Catoptrica52
VI 6The Metrica53
VI 7The Dioptra54
VI 8A Theoretical Work: the So-called Definitiones, i.e. [actual symbol not reproducible]55
Ch. VIITheon(?)'s Preface to Euclid's Optica58
Ch. VIIIMarinus on Euclid's Data61
Ch. IXPtolemy's Prefaces66
IX 1The Mathematike Suntaxis66
IX 2The Apotelesmatica71
Ch. XCommentaries on Ptolemy76
X 1Pappus and Theon on the Mathematike Suntaxis and Handy Tables76
X 2The Anonymous Introduction to the Mathematike Suntaxis79
X 3Commentaries on the Apotelesmatica81
Ch. XINicomachus of Gerasa and his Commentators82
XI 1The Introductio Arithmetica82
XI 2Iamblichus' Version and Asclepius' and Philoponus' Commentaries87
XI 3The Anonymous Prolegomena to the Introductio Arithmetica89
Ch. XIIConclusion92
App. 1The Title of Ptolemy's Astrological Treatise96
App. 2Pappus and the History of Platonism99
Complementary Notes122
Bibliography133
Index Locorum Potiorum151
Index Rerum et Nominum Antiquorum168

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