| dc.rights.license | CC-BY-NC-ND | |
| dc.contributor.advisor | Oosten, J. van | |
| dc.contributor.author | Jong, M.S. de | |
| dc.date.accessioned | 2020-07-27T18:00:24Z | |
| dc.date.available | 2020-07-27T18:00:24Z | |
| dc.date.issued | 2020 | |
| dc.identifier.uri | https://studenttheses.uu.nl/handle/20.500.12932/36309 | |
| dc.description.abstract | Motivated by the historic concept of infinitesimals we treat the subject of nonstandard analysis. The present text is an introduction on the subject and takes a constructive approach. First we construct a nonstandard version of the reals in which we find the infinitesimals. Then using ultrafilters and ultraproducts, we generalise this method to construct a nonstandard version of any set. Finally we identify which nonstandard objects are pleasant to work with by giving them the label `internal’. The latter is done using superstructures. | |
| dc.description.sponsorship | Utrecht University | |
| dc.format.extent | 543220 | |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | en | |
| dc.title | An Introduction to Nonstandard Analysis | |
| dc.type.content | Bachelor Thesis | |
| dc.rights.accessrights | Open Access | |
| dc.subject.keywords | nonstandard; non-standard; analysis; constructive approach; hyperreals; filter; ultrafilter; product; ultraproduct; superstructure; internal | |
| dc.subject.courseuu | Wiskunde | |
