The mathematics of Plato's Academy : a new reconstruction

D.H. Fowler

This book presents a radically new interpretation of early Greek mathematics; its central theme is a mathematical and historical exploration of several different ways of characterizing ratio. To set the reconstruction in context, David Fowler describes both how early Greeks wrote and how their writings have then been transmitted to us. This leads to descriptions of taxation and land-measurement in the Greek administration of Egypt, of the development of continued fractions from the seventeenth century, including a recent algorithm for arithmetic with continued fractions, and many other topics.

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[目次]

  • PART ONE: INTERPRETATIONS: The proposal
  • Anthyphairetic ratio theory
  • Elements II: The dimension of squares
  • Plato's mathematics curriculum in Republic VII
  • Elements IV, X, and XIII: The circumdiameter and side
  • PART TWO: EVIDENCE: The nature of our evidence
  • Numbers and fractions
  • PART THREE: LATER DEVELOPMENTS: Later interpretations
  • Continued fractions
  • Bibliography
  • Indices.

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この本の情報

書名 The mathematics of Plato's Academy : a new reconstruction
著作者等 Fowler, D. H.
書名別名 Plato's Academy
シリーズ名 Oxford science publications
出版元 Clarendon Press
Oxford University Press
刊行年月 1987
ページ数 xix, 401 p., [8] p. of plates
大きさ 24 cm
ISBN 0198539479
0198539126
NCID BA01281816
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言語 英語
出版国 イギリス
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