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Titlebook: Mathematics in Society and History; Sociological Inquiri Sal Restivo Book 1992 Springer Science+Business Media Dordrecht 1992 arithmetic.ed

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发表于 2025-3-21 18:15:33 | 显示全部楼层 |阅读模式
书目名称Mathematics in Society and History
副标题Sociological Inquiri
编辑Sal Restivo
视频video
概述Includes supplementary material:
丛书名称Episteme
图书封面Titlebook: Mathematics in Society and History; Sociological Inquiri Sal Restivo Book 1992 Springer Science+Business Media Dordrecht 1992 arithmetic.ed
描述This is the first book by a sociologist devoted exclusively toa general sociology of mathematics. The author provides examples ofdifferent ways of thinking about mathematics sociologically. Thesurvey of mathematical traditions covers ancient China, theArabic-Islamic world, India, and Europe. Following the leads ofclassical social theorists such as Emile Durkheim, Restivo developsthe idea that mathematical concepts and ideas are collectiverepresentations, and that it is mathematical communities that createmathematics, not individual mathematicians. The implications of thesociology of mathematics, and especially of pure mathematics, for asociology of mind are also explored. In general, the author‘sobjective is to explore, conjecture, suggest, and stimulate in orderto introduce the sociological perspective on mathematics, and tobroaden and deepen the still narrow, shallow path that today carriesthe sociology of mathematics. .This book will interest specialists in the philosophy, history, andsociology of mathematics, persons interested in mathematics education,students of science and society, and people interested in currentdevelopments in the social and cultural analysis of science an
出版日期Book 1992
关键词arithmetic; education; geometry; Gottfried Wilhelm Leibniz; mathematics; Renaissance; science
版次1
doihttps://doi.org/10.1007/978-94-011-2944-2
isbn_softcover978-1-4020-0039-3
isbn_ebook978-94-011-2944-2
copyrightSpringer Science+Business Media Dordrecht 1992
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Foundations of the Sociology of Pure MathematicsThe basic objective of the sociology of ideas is to simultaneously (1) criticize the assertion or assumption that there are asocial or non-social mental states, processes, and products - that is, . thoughts and . ideas or knowledge; and (2) explain the social and material foundations of what some people experience as or label “pure ideas”.
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978-1-4020-0039-3Springer Science+Business Media Dordrecht 1992
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Indian Mathematics: A History of Episodesore than lists of achievements, sometimes designed to illustrate and not infrequently to exaggerate India’s contributions to “world mathematics”. Nonetheless, a few sociologically important points can be made by reviewing the basic features of Indian mathematics.
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y infinite-dimensional Banach spaces . under various conditions on ., . and .. The need for an abstract ordering of ideas concerning the minimization of certain functions on ‘collections of functions’ (the calculus of variations) is one of the origins of what is called functional analysis today, but
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