Greek Mathematical Thought and the Origin of AlgebraCourier Corporation, 22 avr. 2013 - 384 pages 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. |
Table des matières
Theoretical logistic and the problem of fractions | |
The concept of arithmos | |
The ontological conception of the arithmoi in Plato | |
The Aristotelian critique and the possibility of a theoretical logistic | |
On the difference between ancient and modern conceptualization | |
The Arithmetic of Diophantus as theoretical logistic The concept ofeidos in Diophantus | |
The concept of number | |
NOTES | |
Letter to Princess Mélusine | |
Concerning the laws of zetetics | |
Autres éditions - Tout afficher
Greek Mathematical Thought and the Origin of Algebra Jacob Klein,Eva Brann Aucun aperçu disponible - 1976 |
Expressions et termes fréquents
according algebra already analysis analytic ancient appears Aristotle arithmetic arithmos becomes beginning belongs calculation called century Chap character common completely concept concerned connection continuous corresponding counting cube definition Descartes determinate Diophantine Diophantus distinction divided division edition eidos element equal equation especially Euclid expression fact figures foundation fractional fundamental furthermore geometric given gives Greek hand homogeneous imagination immediately instance intended kind knowledge known later logistic magnitudes material mathematical means measure Metaphysics mode monads multiplied multitude namely nature Note numbers object original particular plane Plato possible practical precisely present problem procedure proportions pure quantity question ratios realm reason reference relation represents respect result Rule says sense separate side solid solution speaking square Stevin symbolic taken Tannery theoretical theory things thinking tradition true turn understanding understood units unknown Vieta whole