A short history of Greek mathematics
著者
書誌事項
A short history of Greek mathematics
(Cambridge library collection, . Classics)
Cambridge University Press, 2010
- : pbk
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注記
"This digitally printed version 2010"--T. p. verso
Original t.p. reads: A short history of Greek mathematics, by James Gow, edited for the syndics of the University Press
Reprint. Originally published: Cambridge : At the University Press, 1884
Includes bibliographical references and index
内容説明・目次
内容説明
James Gow's A Short History of Greek Mathematics (1884) provided the first full account of the subject available in English, and it today remains a clear and thorough guide to early arithmetic and geometry. Beginning with the origins of the numerical system and proceeding through the theorems of Pythagoras, Euclid, Archimedes and many others, the Short History offers in-depth analysis and useful translations of individual texts as well as a broad historical overview of the development of mathematics. Parts I and II concern Greek arithmetic, including the origin of alphabetic numerals and the nomenclature for operations; Part III constitutes a complete history of Greek geometry, from its earliest precursors in Egypt and Babylon through to the innovations of the Ionic, Sophistic, and Academic schools and their followers. Particular attention is given to Pythagorus, Euclid, Archimedes, and Ptolemy, but a host of lesser-known thinkers receive deserved attention as well.
目次
- Part I. Prolegomena to Arithmetic: 1. The decimal scale
- 2. Egyptian arithmetic
- Part II. Greek Arithmetic: 3. Calculation
- 4. Greek theory of numbers
- Part III. Greek Geometry: 5. Prehistoric and Egyptian geometry
- 6. Greek geometry to Euclid
- 7. Euclid, Archimedes, Apollonius
- 8. The second century B.C.
- 9. From Geminus to Ptolemy
- 10. Last years
- Index.
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