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The Arithmetica of Diophantus: A Complete Translation and Commentary: Scientific Writings from the Ancient and Medieval World

Autor Jean Christianidis, Jeffrey Oaks
en Limba Engleză Paperback – 4 oct 2024
This volume offers an English translation of all ten extant books of Diophantus of Alexandria’s Arithmetica, along with a comprehensive conceptual, historical, and mathematical commentary.
Before his work became the inspiration for the emerging field of number theory in the seventeenth century, Diophantus (ca. 3rd c. CE) was known primarily as an algebraist. This volume explains how his method of solving arithmetical problems agrees both conceptually and procedurally with the premodern algebra later practiced in Arabic, Latin, and European vernaculars, and how this algebra differs radically from the modern algebra initiated by François Viète and René Descartes. It also discusses other surviving traces of ancient Greek algebra and follows the influence of the Arithmetica in medieval Islam, Byzantium, and the European Renaissance down to the 1621 publication of Claude-Gaspard Bachet’s edition. After the English translation the book provides a problem-by-problem commentary explaining the solutions in a manner compatible with Diophantus’s mode of thought.
The Arithmetica of Diophantus provides an invaluable resource for historians of mathematics, science, and technology, as well as those studying ancient Greek, medieval Islamic and Byzantine, and Renaissance history. In addition, the volume is also suitable for mathematicians and mathematics educators.
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Specificații

ISBN-13: 9781032324456
ISBN-10: 1032324457
Pagini: 890
Ilustrații: 32
Dimensiuni: 156 x 234 mm
Greutate: 1.64 kg
Ediția:1
Editura: Taylor & Francis
Colecția Routledge
Seria Scientific Writings from the Ancient and Medieval World

Locul publicării:Oxford, United Kingdom

Public țintă

Academic

Cuprins

Part I: Introduction, 1. Diophantus and his work, 2. Numbers, problem solving, and algebra, 3. History, 4. Structure and language of the Arithmetica, 5. The didactic aspect of the Arithmetica, Part II: Translation, Part III: Commentary, Part IV: Appendices.

Notă biografică

Jean Christianidis is a professor of history of mathematics at the National and Kapodistrian University of Athens (Greece) and partner member of the Centre Alexandre-Koyré (Paris, France). He has authored or co-authored numerous articles on Diophantus and on Greek and Byzantine mathematics.
Jeffrey Oaks is a mathematics professor at University of Indianapolis (USA). He is co-author of the 2021 book Al-Hawārī’s Essential Commentary: Arabic Arithmetic in the Fourteenth Century.

Descriere

This volume offers an English translation of all ten extant books of Diophantus' Arithmetica, alongside a comprehensive conceptual, historical, and mathematical commentary. Of interest to scholars of history from ancient Greece to the Renaissance, historians of mathematics, science, and technology, and mathematicians.