Arithmetica of Diophantus

<p>This volume offers an English translation of all ten extant books of Diophantus of Alexandria’s <i>Arithmetica</i> along with a comprehensive conceptual historical and mathematical commentary.</p><p>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 <i>Arithmetica </i>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.</p><p><em>The Arithmetica of Diophantus</em> 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.</p>