Greek Mathematical Thought and the Origin of Algebra

Name: Greek Mathematical Thought and the Origin of Algebra
Price: 13.96 USD
Availability: InStock
ISBN: 9780486272894

ISBN-10: 0486272893

ISBN-13: 9780486272894

Edition: 1992 (Unabridged)

Authors: Jacob Klein, Eva Brann

List price: $18.95

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Description:

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.

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: 0.836
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



Notes 1-125



Notes 126-348


Appendix


Letter to Princess Melusine


Index of names


Index of topics