| dc.contributor.author | Beauregard, Gregory | |
| dc.date.accessioned | 2017-10-10T20:56:50Z | |
| dc.date.available | 2017-10-10T20:56:50Z | |
| dc.date.issued | 2016-04-25 | |
| dc.identifier | oksd_beauregard1_HT_2016 | |
| dc.identifier.uri | https://hdl.handle.net/11244/52297 | |
| dc.description.abstract | Although epsilon-delta analysis has enjoyed great success in giving rigor to modern mathematics, nonstandard analysis can be used to rigorously reformulate modern arguments with infinite and infinitesimal arguments. The internal set theory approach to nonstandard analysis is an axiomatic approach that gives us a fresh point of view to look at mathematics. Together, nonstandard analysis with the internal set theory approach allows us to give novel proofs for classically difficult results. | |
| dc.format | application/pdf | |
| dc.language | en_US | |
| dc.rights | Copyright is held by the author who has granted the Oklahoma State University Library the non-exclusive right to share this material in its institutional repository. Contact Digital Library Services at lib-dls@okstate.edu or 405-744-9161 for the permission policy on the use, reproduction or distribution of this material. | |
| dc.title | Internal set theory approach to nonstandard analysis | |
| osu.filename | oksd_beauregard1_HT_2016.pdf | |
| osu.accesstype | Open Access | |
| dc.type.genre | Honors Thesis | |
| dc.type.material | Text | |
| dc.contributor.director | Fili, Paul A. | |
| dc.contributor.facultyreader | Wright, David J. | |
| thesis.degree.discipline | Mathematics | |
| thesis.degree.grantor | Oklahoma State University | |
