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dc.rights.licenseCC-BY-NC-ND
dc.contributor.advisorOosten, J. van
dc.contributor.authorGeerligs, F.H.D.
dc.date.accessioned2020-03-18T19:01:00Z
dc.date.available2020-03-18T19:01:00Z
dc.date.issued2020
dc.identifier.urihttps://studenttheses.uu.nl/handle/20.500.12932/35493
dc.description.abstractWe shall introduce a superstructure, which allows us to reformulate analysis in the language of set theory. We can then use filter theory to make an extension of this superstructure. In this extension, there will be infinitesimal numbers. Finally, we shall study how we can do analysis with these infinitesimal numbers.
dc.description.sponsorshipUtrecht University
dc.format.extent492900
dc.format.mimetypeapplication/pdf
dc.language.isoen
dc.titleFoundations and applications of non-standard analysis
dc.type.contentBachelor Thesis
dc.rights.accessrightsOpen Access
dc.subject.keywordsnon-standard analysis, analysis, mathematical logic, set theory, filter theory, superstructure, ultrapower, analysis, infinitesimals
dc.subject.courseuuWiskunde


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