Pappus of Alexandria and the Mathematics of Late Antiquity
Cambridge University Press, 21 de juny 2007 - 248 pàgines
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.
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according Alexandria ancient angle Apollonius Archi Archimedes Archytas Aristotle arithmetic arts astrologers belopoietics bodies Cassiodorus chanics chapter circle circumference cochloid Collection commentary conic sections construction cube Cyriades demonstration Elements EOTIV Eratosthenes Eucl Euclid Euclid's Elements Eunapius Eutocius evidence extant fact fourth century geometrical given Hero Hero's Hypsicles Iamblichus instance instruments isoperimetry Knorr knowledge land-surveyors late antiquity lemmas linear curves loci main result Math mathematicians mathematics mean proportionals Mech mechanicians mechanics medes mensor mentioned move neusis Nicomedes Pappus Pappus of Alexandria passage Philo philosophers planar plane Plato Plutarch polygon problem procedure Proclus proof proposition proved Ptolemy Pythagorean quadratrix Quintilian quoted ratio reader refers respectively ruler says seen solid solution sphere spiral Sporus tabularii TCOV teachers theorem things Timaeus tion TOUTO tradition TrEpi triangle Trpos TTIV Vita Zenodorus
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