Pappus of Alexandria and the Mathematics of Late Antiquity

Pappus of Alexandria and the Mathematics of Late Antiquity PDF

Author: Serafina Cuomo

Publisher: Cambridge University Press

Published: 2007-06-21

Total Pages: 252

ISBN-13: 9780521036894

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This book is at once an analytical study of one of the most important mathematical texts of antiquity, the Mathematical Collection of the fourth-century AD mathematician Pappus of Alexandria, and also an examination of the work's wider cultural setting. An important first chapter looks at the mathematicians of the period and how mathematics was perceived by people at large. The central chapters of the book analyse sections of the Collection, identifying features typical of Pappus's mathematical practice. The final chapter draws together the various threads and presents a fuller description of Pappus's mathematical 'agenda'. This is one of few books to deal extensively with the mathematics of Late Antiquity. It sees Pappus's text as part of a wider context and relates it to other contemporary cultural practices and opens avenues to research into the public understanding of mathematics and mathematical disciplines in antiquity.

Pappus of Alexandria Book 7 of the Collection

Pappus of Alexandria Book 7 of the Collection PDF

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 PDF

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.

Pappus of Alexandria Book 7 of the Collection

Pappus of Alexandria Book 7 of the Collection PDF

Author: Alexander Jones

Publisher: Springer

Published: 2012-02-25

Total Pages: 749

ISBN-13: 9781461249092

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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 7 of the Collection

Pappus of Alexandria Book 7 of the Collection PDF

Author: Alexander Jones

Publisher: Springer

Published: 1985-12-19

Total Pages: 749

ISBN-13: 9780387962573

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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.

Ancient Mathematics

Ancient Mathematics PDF

Author: Dietmar Herrmann

Publisher: Springer Nature

Published: 2023-01-01

Total Pages: 462

ISBN-13: 3662664941

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The volume contains a comprehensive and problem-oriented presentation of ancient Greek mathematics from Thales to Proklos Diadochos. Exemplarily, a cross-section of Greek mathematics is offered, whereby also such works of scientists are appreciated in detail, of which no German translation is available. Numerous illustrations and the inclusion of the cultural, political and literary environment provide a great spectrum of the history of mathematical science and a real treasure trove for those seeking biographical and contemporary background knowledge or suggestions for lessons or lectures. The presentation is up-to-date and realizes tendencies of recent historiography. In the new edition, the central chapters on Plato, Aristotle and Alexandria have been updated. The explanations of Greek calculus, mathematical geography and mathematics of the early Middle Ages have been expanded and show new points of view. A completely new addition is a unique illustrated account of Roman mathematics. Also newly included are several color illustrations that successfully illustrate the book's subject matter. With more than 280 images, this volume represents a richly illustrated history book on ancient mathematics.

A New History of Greek Mathematics

A New History of Greek Mathematics PDF

Author: Reviel Netz

Publisher: Cambridge University Press

Published: 2022-09

Total Pages: 541

ISBN-13: 1108833845

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Engaging and comprehensive history of Greek mathematics, with full attention to social contexts and its place in world history.

Knowledge Construction in Late Antiquity

Knowledge Construction in Late Antiquity PDF

Author: Monika Amsler

Publisher: Walter de Gruyter GmbH & Co KG

Published: 2023-04-03

Total Pages: 479

ISBN-13: 3111011046

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Social Studies of the sciences have long analyzed and exposed the constructed nature of knowledge. Pioneering studies of knowledge production in laboratories (e.g., Latour/Woolgar 1979; Knorr-Cetina 1981) have identified factors that affect processes that lead to the generation of scientific data and their subsequent interpretation, such as money, training and curriculum, location and infrastructure, biography-based knowledge and talent, and chance. More recent theories of knowledge construction have further identified different forms of knowledge, such as tacit, intuitive, explicit, personal, and social knowledge. These theoretical frameworks and critical terms can help reveal and clarify the processes that led to ancient data gathering, information and knowledge production. The contributors use late-antique hermeneutical associations as means to explore intuitive or even tacit knowledge; they appreciate mistakes as a platform to study the value of personal knowledge and its premises; they think about rows and tables, letter exchanges, and schools as platforms of distributed cognition; they consider walls as venues for social knowledge production; and rethink the value of social knowledge in scholarly genealogies—then and now.

Science and Mathematics in Ancient Greek Culture

Science and Mathematics in Ancient Greek Culture PDF

Author: Christopher Tuplin

Publisher:

Published: 2002

Total Pages: 384

ISBN-13: 9780198152484

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Ancient Greece was the birthplace of science, which developed in the Hellenized culture of ancient Rome. This book, written by seventeen international experts, examines the role and achievement of science and mathematics in Greek antiquity through discussion of the linguistic, literary, political, religious, sociological, and technological factors which influenced scientific thought and practice.

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