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Viac informácií o knihe Greek Mathematical Thought and the Origin of Algebra

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Anotácia knihy

Author's note Translator's note Short titles frequently used Part I 1. Introduction: Purpose and plan of the inquiry. 2. The opposition of logistic and arithmetric 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. A. The science of the Pythagoreans. B. Mathematics in Plato-logistike and dianoia. C. The arithmos eidetikos. 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 of eidos in Diophantus. 11. The formalism of Vieta and the transformation of the arithmos concept. A. The life of Vieta and the general characteristics of his work. B. Vieta's point of departure: the concept of synthetic apodeixis in Pappus and in Diophantus. C. The reinterpretation of the Diophantine procedure by Vieta: I. "The procedure for solutions "in the indeterminate form" as an analogue to geometric analysis" 2. "The generalization of the eidos concept and its transformation into the "symbolic" concept of the species." 3. The reinterpretation of the katholou pragmateia as Mathesis Universalis in the sense of ars analytice. 12. "The concept of "number." A. In Stevin. B. In Descartes. C. In Wallis. Notes "Part I, Notes 1-125" "Part II, Notes 126-348" "Introduction to the Analytical Art, by Francois Vi

Parametre knihy

Zaradenie knihy Knihy po anglicky Mathematics & science Mathematics Algebra

• Celý názov: Greek Mathematical Thought and the Origin of Algebra
• Autor: Jacob Klein, Eva T.H. Brann
• Jazyk: Angličtina
• Väzba: Brožovaná
• Počet strán: 384
• EAN: 9780486272894
• ISBN: 0486272893
• ID: 02564137
• Nakladateľ: Dover Publications Inc.
• Hmotnosť: 395 g
• Rozmery: 213 × 137 × 19 mm
• Dátum vydania: 01. February 1993

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