Titlebook: Duality in 19th and 20th Century Mathematical Thinking; Ralf Kr?mer,Emmylou Haffner Book 2024 The Editor(s) (if applicable) and The Author

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,Technischer Hochwasserschutz – Bauvorsorge,fferent names, such a the duality of Platonic solids in book XV of the . and in Kepler’s . books II and V, or the polar triangle in spherical geometry. The idea became more prominent and explicit in the context of projective geometry starting around 1810, and it was in this context that the term “du

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Advanced Lectures in Mathematicstman (1908-1944); however, a first comparative analysis attests to the variety of meanings, uses and functions that he ascribes to the very notion of duality. Let us give a first example: Lautman speaks of duality when two points of view, sometimes distinct, sometimes opposed, sometimes complementar

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Hans-Joachim Kabitz,Rolf Dembinskiname is related to the history of at least two such phenomena, namely adjoint (or dual) operators in functional analysis, and the result known as Stone duality in the theory of Boolean algebras. Note that the two phenomena, although they both mark the scientific work of the same mathematician, are q

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https://doi.org/10.1007/978-0-387-85895-1 More precisely, we will inspect various occurences of duality in Bourbaki’s activities, mostly in the time period from the founding of the group in 1934 to the appearance of the chapter on linear algebra in 1947 (we will explain in 14.2 why our focus is on this chapter in particular). During that p

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