Front cover image for Greek Mathematical Thought and the Origin of Algebra

Greek Mathematical Thought and the Origin of Algebra

Important study focuses on the revival and assimilation of ancient Greek mathematics in the 13th-16th centuries, via Arabic science, and the 16th-century development of symbolic algebra. This brought about the crucial change in the concept of number that made possible modern science - in which the symbolic "form" of a mathematical statement is completely inseparable from its "content" of physical meaning. Includes a translation of Vieta's Introduction to the Analytical Art. 1968 edition. Bibliography
eBook, English, 2013
Dover Publications, 2013
1 online resource
9781306326162, 9780486319810, 1306326168, 0486319814
Print version:
Cover; Title Page; Copyright Page; Author's note; Translator's note; Short titles frequently used; Table of Contents; Part I; 1 Introduction: Purpose and plan of the inquiry.; 2 The opposition of logistic and arithmetic in the Neoplatonists.; 3 Logistic and arithmetic in Plato.; 4 The role of the theory of proportions in Nicomachus, Theon, and Domninus.; 5 Theoretical logistic and the problem of fractions.; 6 The concept of arithmos.; 7 The ontological conception of the arithmoi in Plato.; 8 The Aristotelian critique and the possibility of a theoretical logistic.; Part II. 9 On the difference between ancient and modern conceptualization.10 The Arithmetic of Diophantus as theoretical logistic. The concept ofeidos in Diophantus; 11 The formalism of Vieta and the transformation of thearithmos concept.; 12 The concept of "number."; Notes; Part I, Notes 1-125; Part II, Notes 126-348; Appendix Introduction to the Analytical Art, by François Viète (Vieta). Letter to Princess Mélusine.; Index of names; Index of topics