The Oxford Handbook of the History of Mathematics
Eleanor Robson, Jacqueline Stedall
OUP Oxford, 18. des. 2008 - 926 síđur
This Handbook explores the history of mathematics under a series of themes which raise new questions about what mathematics has been and what it has meant to practise it. It addresses questions of who creates mathematics, who uses it, and how. A broader understanding of mathematical practitioners naturally leads to a new appreciation of what counts as a historical source. Material and oral evidence is drawn upon as well as an unusual array of textual sources. Further, the ways in which people have chosen to express themselves are as historically meaningful as the contents of the mathematics they have produced. Mathematics is not a fixed and unchanging entity. New questions, contexts, and applications all influence what counts as productive ways of thinking. Because the history of mathematics should interact constructively with other ways of studying the past, the contributors to this book come from a diverse range of intellectual backgrounds in anthropology, archaeology, art history, philosophy, and literature, as well as history of mathematics more traditionally understood. The thirty-six self-contained, multifaceted chapters, each written by a specialist, are arranged under three main headings: 'Geographies and Cultures', 'Peoples and Practices', and 'Interactions and Interpretations'. Together they deal with the mathematics of 5000 years, but without privileging the past three centuries, and an impressive range of periods and places with many points of cross-reference between chapters. The key mathematical cultures of North America, Europe, the Middle East, India, and China are all represented here as well as areas which are not often treated in mainstream history of mathematics, such as Russia, the Balkans, Vietnam, and South America. A vital reference for graduates and researchers in mathematics, historians of science, and general historians.
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algebra ancient Arabic Archimedes arithmetic astronomical Aubrey Aubrey’s Bourbaki Buyid calculation Cambridge University chapter China Chinese mathematics circle computers concept context Corinth counting rods culture dened denition diagram dicult dierent discussion early edition eect Egyptian Egyptian mathematics ematical eort equation Euclid Euclid’s Elements example geometry Greek Greek mathematics gures history of mathematics House F innite instruments inuence Islamic Islamic art Jesuits John khipu knowledge Leibniz Liu Hui manuscripts math mathematical sciences mathematicians method modern musical Nautical almanac Newton nineteenth century notation observatory omas Oxford patronage pattern philosophy practice problems proposition published ratio result Rolle’s Royal scholars scientic signicant siyaq social Society specic square structure suan tables tablets techniques theorem theory tion tradition translation treatise University Press warp Western writing Xu Guangqi