Greek Mathematical Thought and the Origin of Algebra

Couverture
Courier Corporation, 1 janv. 1992 - 360 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

Purpose and plan of the inquiry
3
The opposition of logistic and arithmetic in
10
Logistic and arithmetic in Plato
17
The role of the theory of proportions
26
Theoretical logistic and the problem
37
The concept of arithmos
46
The ontological conception of the arithmoi
61
of a theoretical logistic
100
The reinterpretation of the katholou
178
The concept of number
186
NOTES
217
Part I Notes 1125
227
Part II Notes 126348
242
Introduction to the Analytical Art by François Viète
313
On the definition and division of analysis and those
320
On the precepts of the reckoning by species
328

On the difference between ancient and modern
117
ΙΟ The Arithmetic of Diophantus as theoretical
126
The formalism of Vieta and
150
The generalization of the eidos concept
163
Concerning the function of the rhetic art
346
Index of names
355
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