By H. H. Goldstine
The beaver's enamel and the tiger's claw. Sunflowers and seashells. Fractals, Fibonacci sequences, logarithmic spirals. those diversified types of nature and arithmetic are united via a standard issue: all contain self-repeating shapes, or gnomons. nearly 2000 years in the past, Hero of Alexandria outlined the gnomon as that shape which, whilst additional to a few shape, leads to a brand new shape, just like the unique. In a spiral seashell, for instance, we see that every new part of progress (the gnomon) resembles its predecessor and keeps the shell's total form. encouraged through Hero, Midhat Gazale - a fellow local of Alexandria - explains the houses of gnomons, lines their lengthy and vibrant background in human idea, and explores the mathematical and geometrical marvels they make attainable. The textual content should still entice a person drawn to the wonders of geometry and arithmetic, in addition to to fans of mathematical puzzles and recreations
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The beaver's the teeth and the tiger's claw. Sunflowers and seashells. Fractals, Fibonacci sequences, logarithmic spirals. those varied kinds of nature and arithmetic are united by means of a typical issue: all contain self-repeating shapes, or gnomons. virtually 2000 years in the past, Hero of Alexandria outlined the gnomon as that shape which, whilst further to a couple shape, leads to a brand new shape, just like the unique.
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Extra resources for A History of Numerical Analysis from the 16th through the 19th Century
85. Bray, Homosexuality in Renaissance England, p. 17. , p. 74, emphasis mine. The question of influence is complex. Bray has obviously influenced Laurie Shannon, whose Sovereign Amity (primarily on masculine friendship, but attentive to female friendship as well) seeks at several points to extend Bray’s analysis of the dangers of inequality, as well as K. Schwarz, Tough Love: Amazon Encounters in the English Renaissance (Durham, NC: Duke University Press, 2000), whose analysis draws heavily on Bray’s treatment of cultural intelligibility.
60 Yet even as the evaluation of evidence must be the historian’s preoccupation, important questions remain untouched by it from the standpoint of theoretical investigation. Whether Bray’s disinclination to probe, rather than work adroitly around, the precise means of the overlap of friendship and eroticism as a theoretical problem indicates the historian’s discomfort with the deconstructive ramifications of his own radical history, or whether, conversely and paradoxically, it is a further measure of his own deconstructive commitments, is a question about which I remain unsure.
74 This may have been true when this book was written; whether it remains true today is a question to which I will return. ’75 Yet, because of the asymmetrical application of the legal and theological category of sodomy to early modern English men and women, Bray’s first book does not afford ready analytical purchase to scholars working on women. 76 Bray’s published essays on friendship likewise retain a focus on men, in part because the formal displays of intimacy that characterized male patronage in the sixteenth and seventeenth centuries were, he argues, less relevant to women, who on the whole were denied access to the public sphere.
A History of Numerical Analysis from the 16th through the 19th Century by H. H. Goldstine