Greek Mathematical Thought and the Origin of Algebra

ISBN-10: 0486272893

ISBN-13: 9780486272894

Edition: 1992 (Unabridged)

Authors: Jacob Klein, Eva Brann

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Important study focuses on the revival and assimilation of ancient Greek mathematics in the 13th16th 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. Includes a translation of Vieta's Introduction to the Analytical Art. 1968 edition. Bibliography.
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Book details

List price: $18.95
Copyright year: 1992
Publisher: Dover Publications, Incorporated
Publication date: 9/11/1992
Binding: Paperback
Pages: 384
Size: 5.50" wide x 8.50" long x 0.75" tall
Weight: 1.122
Language: English

Author's note
Translator's note
Short titles frequently used
Introduction: Purpose and plan of the inquiry
The opposition of logistic and arithmetic in the Neoplatonists
Logistic and arithmetic in Plato
The role of the theory of proportions in Nicomachus, Theon, and Domninus
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 of eidos in Diophantus
The formalism of Vieta and the transformation of the arithmos concept
The concept of "number"
In Stevin
In Descartes
In Wallis
Notes 1-125
Notes 126-348
Letter to Princess Melusine
Index of names
Index of topics
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