Pappus of Alexandria Book 7 of the Collection

Pappus of Alexandria Book 7 of the Collection

Author: Alexander Jones

Publisher: Springer Science & Business Media

Published: 2013-11-09

Total Pages: 764

ISBN-13: 1461249082

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The seventh book of Pappus's Collection, his commentary on the Domain (or Treasury) of Analysis, figures prominently in the history of both ancient and modern mathematics: as our chief source of information concerning several lost works of the Greek geometers Euclid and Apollonius, and as a book that inspired later mathematicians, among them Viete, Newton, and Chasles, to original discoveries in their pursuit of the lost science of antiquity. This presentation of it is concerned solely with recovering what can be learned from Pappus about Greek mathematics. The main part of it comprises a new edition of Book 7; a literal translation; and a commentary on textual, historical, and mathematical aspects of the book. It proved to be convenient to divide the commentary into two parts, the notes to the text and translation, and essays about the lost works that Pappus discusses. The first function of an edition of this kind is, not to expose new discoveries, but to present a reliable text and organize the accumulated knowledge about it for the reader's convenience. Nevertheless there are novelties here. The text is based on a fresh transcription of Vat. gr. 218, the archetype of all extant manuscripts, and in it I have adopted numerous readings, on manuscript authority or by emendation, that differ from those of the old edition of Hultsch. Moreover, many difficult parts of the work have received little or no commentary hitherto.


Pappus of Alexandria: Book 4 of the Collection

Pappus of Alexandria: Book 4 of the Collection

Author: Heike Sefrin-Weis

Publisher: Springer Science & Business Media

Published: 2010-04-06

Total Pages: 347

ISBN-13: 1849960054

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Although not so well known today, Book 4 of Pappus’ Collection is one of the most important and influential mathematical texts from antiquity. The mathematical vignettes form a portrait of mathematics during the Hellenistic "Golden Age", illustrating central problems – for example, 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.


Sourcebook in the Mathematics of Ancient Greece and the Eastern Mediterranean

Sourcebook in the Mathematics of Ancient Greece and the Eastern Mediterranean

Author: Victor J. Katz

Publisher: Princeton University Press

Published: 2024-09-17

Total Pages: 721

ISBN-13: 069125768X

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An invaluable reference book on the mathematics of Greek antiquity Euclid, Archimedes, and Apollonius are familiar names to many of us, and their contributions have shaped mathematical practice up to modern times. Yet the mathematical activity of Greek antiquity extended far beyond their achievements and was furthered by diverse individuals in different contexts. Sourcebook in the Mathematics of Ancient Greece and the Eastern Mediterranean brings together an extensive collection of primary source materials that document the extraordinary breadth of mathematical ideas developed in the Eastern Mediterranean from 500 BCE to 500 CE, a millennium in which Greek cultural influence spanned the ancient world. Weaving together ancient commentaries with the works themselves, Victor Katz and Clemency Montelle present a wealth of newly translated texts along with sources difficult to find elsewhere, from writings by the great mathematical thinkers of Greek antiquity to those by practitioners who used mathematics in everyday life. This comprehensive and wide-ranging sourcebook includes lesser-known authors who made critical contributions, sometimes in languages other than Greek, as well as accounts of technical instrumentation, papyri by anonymous authors designed for teaching purposes, and evidence of hand computations and numerical tables. An essential resource for anyone interested in the mathematical achievements of this remarkable intellectual culture, Sourcebook in the Mathematics of Ancient Greece and the Eastern Mediterranean encompasses disciplines that illustrate the important role of mathematics in ancient Greek society more broadly, from astronomy, music, and optics to philosophy, literature, and theater.


The Frontiers of Ancient Science

The Frontiers of Ancient Science

Author: Brooke Holmes

Publisher: Walter de Gruyter GmbH & Co KG

Published: 2015-03-30

Total Pages: 718

ISBN-13: 3110389304

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Our understanding of science, mathematics, and medicine today can be deeply enriched by studying the historical roots of these areas of inquiry in the ancient Near East and Mediterranean. The fields of ancient science and mathematics have in recent years witnessed remarkable growth. The present volume brings together contributions from more than thirty of the most important scholars working in these fields in the United States and Europe in honor of the eminent historian of ancient science and medicine Heinrich von Staden, Professor Emeritus of Classics and History of Science at the Institute of Advanced Study and William Lampson Professor Emeritus of Classics and Comparative Literature at Yale University. The papers range widely from Mesopotamia to Ancient Greece and Rome, from the first millennium B.C. to the early medieval period, and from mathematics to philosophy, mechanics to medicine, representing both a wide diversity of national traditions and the cutting edge of the international scholarly community.


Edmond Halley’s Reconstruction of the Lost Book of Apollonius’s Conics

Edmond Halley’s Reconstruction of the Lost Book of Apollonius’s Conics

Author: Michael N. Fried

Publisher: Springer Science & Business Media

Published: 2011-09-03

Total Pages: 134

ISBN-13: 1461401461

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Apollonius’s Conics was one of the greatest works of advanced mathematics in antiquity. The work comprised eight books, of which four have come down to us in their original Greek and three in Arabic. By the time the Arabic translations were produced, the eighth book had already been lost. In 1710, Edmond Halley, then Savilian Professor of Geometry at Oxford, produced an edition of the Greek text of the Conics of Books I-IV, a translation into Latin from the Arabic versions of Books V-VII, and a reconstruction of Book VIII. The present work provides the first complete English translation of Halley’s reconstruction of Book VIII with supplementary notes on the text. It also contains 1) an introduction discussing aspects of Apollonius’s Conics 2) an investigation of Edmond Halley's understanding of the nature of his venture into ancient mathematics, and 3) an appendices giving a brief account of Apollonius’s approach to conic sections and his mathematical techniques. This book will be of interest to students and researchers interested in the history of ancient Greek mathematics and mathematics in the early modern period.


Apollonius: Conics Books V to VII

Apollonius: Conics Books V to VII

Author: Gerald J. Toomer

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 978

ISBN-13: 1461389852

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With the publication of this book I discharge a debt which our era has long owed to the memory of a great mathematician of antiquity: to pub lish the /llost books" of the Conics of Apollonius in the form which is the closest we have to the original, the Arabic version of the Banu Musil. Un til now this has been accessible only in Halley's Latin translation of 1710 (and translations into other languages entirely dependent on that). While I yield to none in my admiration for Halley's edition of the Conics, it is far from satisfying the requirements of modern scholarship. In particular, it does not contain the Arabic text. I hope that the present edition will not only remedy those deficiencies, but will also serve as a foundation for the study of the influence of the Conics in the medieval Islamic world. I acknowledge with gratitude the help of a number of institutions and people. The John Simon Guggenheim Memorial Foundation, by the award of one of its Fellowships for 1985-86, enabled me to devote an unbroken year to this project, and to consult essential material in the Bodleian Li brary, Oxford, and the Bibliotheque Nationale, Paris. Corpus Christi Col lege, Cambridge, appointed me to a Visiting Fellowship in Trinity Term, 1988, which allowed me to make good use of the rich resources of both the University Library, Cambridge, and the Bodleian Library.


History of Technology Volume 17

History of Technology Volume 17

Author: Graham Hollister-Short

Publisher: Bloomsbury Publishing

Published: 2016-09-30

Total Pages: 370

ISBN-13: 1350018759

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The technical problems confronting different societies and periods, and the measures taken to solve them form the concern of this annual collection of essays. Volumes contain technical articles ranging widely in subject, time and region, as well as general papers on the history of technology. In addition to dealing with the history of technical discovery and change, History of Technology also explores the relations of technology to other aspects of life -- social, cultural and economic -- and shows how technological development has shaped, and been shaped by, the society in which it occurred.


The Ancient World

The Ancient World

Author: Frank N. Magill

Publisher: Routledge

Published: 2003-12-16

Total Pages: 1354

ISBN-13: 1135457409

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Containing 250 entries, each volume of the Dictionary of World Biography contains examines the lives of the individuals who shaped their times and left their mark on world history. Much more than a 'Who's Who', each entry provides an in-depth essay on the life and career of the individual concerned. Essays commence with a quick reference section that provides basic facts on the individual's life and achievements, and conclude with a fully annotated bibliography. The extended biography places the life and works of the individual within an historical context, and the summary at the end of each essay provides a synopsis of the individual's place in history. Any student in the field will want to have one of these as a handy reference companion.


Creative Secondary School Mathematics: 125 Enrichment Units For Grades 7 To 12

Creative Secondary School Mathematics: 125 Enrichment Units For Grades 7 To 12

Author: Alfred S Posamentier

Publisher: World Scientific

Published: 2021-06-08

Total Pages: 556

ISBN-13: 9811240442

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There are many topics within the scope of the secondary school mathematics curriculum that are clearly of a motivational sort, and because of lack of time they are usually not included in the teaching process. This book provides the teacher 125 individual units — ranging from grades 7 through 12 — that can be used to enhance the mathematics curriculum. Each unit presents a preassessment, instructional objectives, and a detailed description of the topic as well as teaching suggestions. Each unit has a post-assessment. This is the sort of instructional intervention that can make students love mathematics!