The Resource Pappus of Alexandria : book 4 of the collection, edited with translation and commentary by Heike SefrinWeis
Pappus of Alexandria : book 4 of the collection, edited with translation and commentary by Heike SefrinWeis
Resource Information
The item Pappus of Alexandria : book 4 of the collection, edited with translation and commentary by Heike SefrinWeis represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Pappus of Alexandria : book 4 of the collection, edited with translation and commentary by Heike SefrinWeis represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 Summary
 Although not so well known today, Book 4 of Pappus' Collection is one of the most important and influential mathematical texts from antiquity, both because of its content and because of its impact on early modern mathematics after 1600. As a kind of textbook in anthology format, the mathematical vignettes form a portrait of mathematics during the Hellenistic "Golden Age", illustrating central problems  for example, it discusses all three of the famous ancient problems in geometry: squaring the circle; doubling the cube; and trisecting an angle  varying solution strategies, and the different mathematical styles within ancient geometry. This volume provides an English translation of Collection 4, in full, for the first time, including: a new edition of the Greek text, based on a fresh transcription from the main manuscript and offering an alternative to Hultsch's standard edition; notes to facilitate understanding of the steps in the mathematical argument; a commentary highlighting aspects of the work that have so far been neglected, and supporting the reconstruction of a coherent plan and vision within the work; bibliographical references for further study. Historians of mathematics will find it useful for scholarly work on ancient geometry and its reception in the early modern era and it will also serve as a source book for exemplary arguments in ancient geometry. Pappus himself probably intended Collection 4 to be an introductory survey of the classical geometrical tradition  from the point of view of mathematical methods and strategies  for readers that had a basic training in elementary geometry (Elements I  VI). Likewise, this edition can be used as a textbook in advanced undergraduate and graduate courses on the history of ancient geometry
 Language

 eng
 grc
 eng
 Extent
 1 online resource (xxxi, 328 pages)
 Contents

 General Introduction
 Part I
 Text and translation; Greek text and annotated translation
 Part II
 Commentary; 2 Plane Geometry
 3 Plane Geometry, Archaic Style
 4 Plane Geometry, Archimedean
 5 Motion curves and symptomamathematics
 6 Metatheoretical passage
 7 Angle trisection
 8 General angle division
 9 Quadratix, rectification property
 10 Analysis for an Archimedean neusis
 Appendices
 Isbn
 9781849960052
 Label
 Pappus of Alexandria : book 4 of the collection
 Title
 Pappus of Alexandria
 Title remainder
 book 4 of the collection
 Statement of responsibility
 edited with translation and commentary by Heike SefrinWeis
 Language

 eng
 grc
 eng
 Summary
 Although not so well known today, Book 4 of Pappus' Collection is one of the most important and influential mathematical texts from antiquity, both because of its content and because of its impact on early modern mathematics after 1600. As a kind of textbook in anthology format, the mathematical vignettes form a portrait of mathematics during the Hellenistic "Golden Age", illustrating central problems  for example, it discusses all three of the famous ancient problems in geometry: squaring the circle; doubling the cube; and trisecting an angle  varying solution strategies, and the different mathematical styles within ancient geometry. This volume provides an English translation of Collection 4, in full, for the first time, including: a new edition of the Greek text, based on a fresh transcription from the main manuscript and offering an alternative to Hultsch's standard edition; notes to facilitate understanding of the steps in the mathematical argument; a commentary highlighting aspects of the work that have so far been neglected, and supporting the reconstruction of a coherent plan and vision within the work; bibliographical references for further study. Historians of mathematics will find it useful for scholarly work on ancient geometry and its reception in the early modern era and it will also serve as a source book for exemplary arguments in ancient geometry. Pappus himself probably intended Collection 4 to be an introductory survey of the classical geometrical tradition  from the point of view of mathematical methods and strategies  for readers that had a basic training in elementary geometry (Elements I  VI). Likewise, this edition can be used as a textbook in advanced undergraduate and graduate courses on the history of ancient geometry
 Cataloging source
 GW5XE
 http://library.link/vocab/creatorName
 Pappus
 Dewey number
 516
 Illustrations
 illustrations
 Index
 index present
 Language note
 Translated from the Ancient Greek
 LC call number
 QA31
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 http://library.link/vocab/relatedWorkOrContributorName
 SefrinWeis, Heike
 Series statement
 Sources and studies in the history of mathematics and the physical sciences
 http://library.link/vocab/subjectName

 Geometry
 MATHEMATICS
 Mathematics
 MATHEMATICS
 Geometry
 Geometry
 Label
 Pappus of Alexandria : book 4 of the collection, edited with translation and commentary by Heike SefrinWeis
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 General Introduction  Part I  Text and translation; Greek text and annotated translation  Part II  Commentary; 2 Plane Geometry  3 Plane Geometry, Archaic Style  4 Plane Geometry, Archimedean  5 Motion curves and symptomamathematics  6 Metatheoretical passage  7 Angle trisection  8 General angle division  9 Quadratix, rectification property  10 Analysis for an Archimedean neusis  Appendices
 Control code
 663097020
 Dimensions
 unknown
 Extent
 1 online resource (xxxi, 328 pages)
 Form of item
 online
 Isbn
 9781849960052
 Lccn
 2009942260
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9781849960052
 Other physical details
 illustrations
 http://library.link/vocab/ext/overdrive/overdriveId
 9781849960045
 Specific material designation
 remote
 System control number
 (OCoLC)663097020
 Label
 Pappus of Alexandria : book 4 of the collection, edited with translation and commentary by Heike SefrinWeis
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 General Introduction  Part I  Text and translation; Greek text and annotated translation  Part II  Commentary; 2 Plane Geometry  3 Plane Geometry, Archaic Style  4 Plane Geometry, Archimedean  5 Motion curves and symptomamathematics  6 Metatheoretical passage  7 Angle trisection  8 General angle division  9 Quadratix, rectification property  10 Analysis for an Archimedean neusis  Appendices
 Control code
 663097020
 Dimensions
 unknown
 Extent
 1 online resource (xxxi, 328 pages)
 Form of item
 online
 Isbn
 9781849960052
 Lccn
 2009942260
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9781849960052
 Other physical details
 illustrations
 http://library.link/vocab/ext/overdrive/overdriveId
 9781849960045
 Specific material designation
 remote
 System control number
 (OCoLC)663097020
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