Find a copy online
Links to this item
archive.org Free eBook from the Internet Archive
openlibrary.org Additional information and access via Open Library

Find a copy in the library
Finding libraries that hold this item...
Details
Genre/Form: | Electronic books History |
---|---|
Additional Physical Format: | Print version: Klein, Jacob, 1899-1978. Greek mathematical thought and the origin of algebra. New York : Dover Publications, 1992 (DLC) 92020992 (OCoLC)26094892 |
Material Type: | Document, Internet resource |
Document Type: | Internet Resource, Computer File |
All Authors / Contributors: |
Jacob Klein |
ISBN: | 9780486319810 0486319814 |
OCLC Number: | 841505651 |
Notes: | "Unabridged and unaltered republication of the edition published by the M.I.T. Press, Cambridge, Massachusetts, in 1968"--Title page verso. |
Description: | 1 online resource (xv, 360 pages) |
Contents: | 1. Introduction: Purpose and plan of the inquiry -- 2. opposition of logistic and arithmetic in the Neoplatonists -- 3. Logistic and arithmetic in Plato -- 4. role of the theory of proportions in Nicomachus, Theon, and Domninus -- 5. Theoretical logistic and the problem of fractions -- 6. concept of arithmos -- 7. ontological conception of the arithmoi in Plato -- A. science of the Pythagoreans -- B. Mathematics in Plato -- logistike and dianoia -- C. arithmos eidetikos -- 8. Aristotelian critique and the possibility of a theoretical logistic -- 9. On the difference between ancient and modern conceptualization -- 10. Arithmetic of Diophantus as theoretical logistic. The concept of eidos in Diophantus -- 11. formalism of Vieta and the transformation of the arithmos concept -- A. 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. reinterpretation of the Diophantine procedure by Vieta -- 1. procedure for solutions "in the indeterminate form" as an analogue to geometric analysis -- 2. generalization of the eidos concept and its transformation into the "symbolic" concept of the species -- 3. reinterpretation of the katholou pragmateia as Mathesis Universalis in the sense of ars analytice -- 12. concept of "number." -- A. In Stevin -- B. In Descartes -- C. In Wallis. Appendix. Introduction to the Analytical Art / Francois Viete (Vieta) -- Appendix. Letter to Princess Melusine -- Appendix I. On the definition and division of analysis and those things which are of use to zetetics -- Appendix II. On the stipulations governing equations and proportions -- Appendix III. Concerning the law of homogeneity and the degrees and genera of the magnitudes that are compared -- Appendix IV. On the precepts of the reckoning by species -- Appendix V. Concerning the laws of zetetics -- Appendix. VI. Concerning the investigation of theorems by means of the poristic art -- Appendix VII. Concerning the function of the rhetic art -- Appendix VIII. The symbolism in equations and the epilogue to the art. |
Other Titles: | Griechische Logistik und die Entstehung der Algebra. |
Responsibility: | by Jacob Klein ; translated by Eva Brann. |
More information: |
Abstract:
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. Includes a translation of Vieta's Introduction to the Analytical Art. 1968 edition. Bibliography.
Reviews
User-contributed reviews
Add a review and share your thoughts with other readers.
Be the first.
Add a review and share your thoughts with other readers.
Be the first.


Tags
Add tags for "Greek mathematical thought and the origin of algebra".
Be the first.
Similar Items
Related Subjects:(11)
- Mathematics, Greek.
- Algebra -- History.
- Mathématiques grecques.
- Algèbre -- Histoire.
- MATHEMATICS -- History & Philosophy.
- Algebra.
- Mathematik
- Griechenland
- Wiskunde.
- Griekse oudheid.
- Matematica (historia)
User lists with this item (1)
- History & Philosophy of Physics & Mathematics(412 items)
by Geremia10 updated 2020-01-04