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Call number
Library's review
Hmm, ifølge de gamle grækere kan man ikke dele en cirkel i to ens dele, for centrum måtte jo være i en af dem. Og Stanislav Lem har en variant af Hilberts Hotel. Udvalgsaksiomet medfører at man kan lave ikke-målelige mængder, så simple flytninger i rummet giver Banach-Tarski paradokset med at lave et æble om til to. Russells paradoks med barberen, der barberer alle, der ikke barberer dem selv.
Mange små søde historier og anekdoter. Fx om David Hilbert, der brokker over at en artikel af Urysohn ikke er kommet med i et nummer af Mathematische Annalen og får at vide at den er under review. Men han havde jo sagt: "The Article Is to Be Printed, Not Reviewed!". Så kan noget ikke blive mere godkendt i denne verden!
Genres
Publication
Description
Stories About Sets discusses the cardinality of sets and mathematical concepts, such as function, curve, surface, dimensions, and the paradoxical properties of curves and surfaces. The book reviews sets, operations on sets, the empty set, subsets, the universal sets, intersection of sets, union of sets, partitioning of sets, and boolean algebras. The text also discusses the cardinality of sets, including equality between sets, countable sets, unequal sets, the uncountability of the continuum, the existence of transcendental numbers, and the enigmatic axiom. The book analyzes if a part can be equal to the whole (which turns out to be true if it is applied to infinite sets). The text also discusses the arithmetic of the infinite such as involving the multiplication of infinite cardinalities. The book explains some remarkable functions and curves, the Dirichlet's function, Cantor's set, points of fracture, and continuous functions whose graphs possess a tangent at no point. The text shows how to construct a closed curve of infinite length or a curve passing through all the points of a square. The book can prove interesting and highly educational for students with mathematic or algebra subjects, as well as for academicians involved in teaching statistics or mathematics.… (more)
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Physical description
Local notes
Omslaget viser en Menger svamp
Indskannet omslag - N650U - 150 dpi
Oversat fra russisk "Рассказы о множествах" af Scripta Technica
Rasskazy o mnozhestvakh
echo 'Naum _Akovlevi_c Vilenkin: Rasskazy o mno_jestvax' | perl /tmp/translit
Наум Яковлевич Виленкин: Рассказы о множествах
Fået af Ulla Pedersen den 10 januar 2022.
Pages
DDC/MDS
510.4 |