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Beyond infinity

dc.contributor.authorFeinstein, Joel
dc.date.accessioned2017-03-31T07:27:23Z
dc.date.available2017-03-31T07:27:23Z
dc.identifier.urihttps://rdmc.nottingham.ac.uk/handle/internal/297
dc.description.abstractThis popular maths talk gives an introduction to various different kinds of infinity, both countable and uncountable. These concepts are illustrated in a somewhat informal way using the notion of Hilbert's infinite hotel. In this talk, the hotel manager tries to fit various infinite collections of guests into the hotel. The students should learn that many apparently different types of infinity are really the same size. However, there are genuinely "more" real numbers than there are positive integers, as is shown in the more challenging final section, using Cantor's diagonalization argument.
dc.publisherUniversity of Nottingham. Information Services. Learning Team
dc.rightsAttribution-NonCommercial-ShareAlike 2.0 UK
dc.rights.urihttps://creativecommons.org/licenses/by-nc-sa/2.0/uk/
dc.titleBeyond infinity
dc.rights.licenseExcept for third party materials (materials owned by someone other than The University of Nottingham) and where otherwise indicated, the copyright in the content provided in this resource is owned by The University of Nottingham and licensed under a Creative Commons Attribution-NonCommercial-ShareAlike UK 2.0 Licence (BY-NC-SA) (URL: http://creativecommons.org/licenses/by-nc-sa/2.0/uk/ ). Your use of the content provided in this resource is subject to the terms of the copyright statement available here: http://unow.nottingham.ac.uk/copyright.aspx
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Attribution-NonCommercial-ShareAlike 2.0 UK
Except where otherwise noted, this item's license is described as Attribution-NonCommercial-ShareAlike 2.0 UK