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Dover Books on Mathematics Ser.: Greek Mathematical Thought and the Origin of Algebra by Jacob Klein (1992, Trade Paperback, Reprint,Unabridged edition,New Edition)

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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.

Product Identifiers

Publisher
Dover Publications, Incorporated
ISBN-10
0486272893
ISBN-13
9780486272894
eBay Product ID (ePID)
906586

Product Key Features

Author
Jacob Klein
Publication Name
Greek Mathematical Thought and the Origin of Algebra
Format
Trade Paperback
Language
English
Publication Year
1992
Series
Dover Books on Mathematics Ser.
Type
Textbook
Number of Pages
384 Pages

Dimensions

Item Length
8.4in
Item Height
0.7in
Item Width
5.4in
Item Weight
15.9 Oz

Additional Product Features

Lc Classification Number
Qa22.K513
Edition Description
Reprint,Unabridged Edition,New Edition
Table of Content
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 Viète (Vieta)." Letter to Princess Mélusine. I. On the definition and division of analysis and those things which are of use to zetetics. II. On the stipulations governing equations and proportions. III. Concerning the law of homogeneity and the degrees and genera of the magnitudes that are compared. IV. On the precepts of the reckoning by species. V. Concerning the laws of zetetics. VI. Concerning the investigation of theorems by means of the poristic art. VII. Concerning the function of the rehetic art. VIII. The symbolism in equations and the epilogue to the art. Index of names Index of topics
Copyright Date
1992
Target Audience
College Audience
Topic
History & Philosophy, Algebra / General
Lccn
92-020992
Dewey Decimal
512/.0938
Dewey Edition
20
Genre
Mathematics

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Dover Books on Mathematics Ser.: Greek Mathematical Thought and the Origin of Algebra by Jacob Klein (1992, Trade Paperback, Reprint,Unabridged edition,New Edition)

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Product Identifiers

Product Key Features

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item 1 Greek Mathematical Thought and the Origin of Algebra (Dover Books on Math - GOOD

item 2 Greek Mathematical Thought and the Origin of Algebra by Jacob Klein: Used

item 3 Greek Mathematical Thought and the Origin of Algebra, Paperback by Klein, Jac...

item 4 Greek Mathematical Thought and the Origin of Algebra, Paperback by Klein, Jac...

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