The problem of interpreting many of the mathematical references in Plato's "Dialogues" has perplexed scholars over the centuries. This book presents several interpretations of the ideas of ratio in early Greek mathematics, and illustrates them in detailed discussions of several texts.
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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