| dc.rights.license | CC-BY-NC-ND | |
| dc.contributor | Xiaoran Li | |
| dc.contributor.advisor | Michel, Nicolas | |
| dc.contributor.author | Li, Kevin | |
| dc.date.accessioned | 2025-04-03T09:01:38Z | |
| dc.date.available | 2025-04-03T09:01:38Z | |
| dc.date.issued | 2025 | |
| dc.identifier.uri | https://studenttheses.uu.nl/handle/20.500.12932/48717 | |
| dc.description.abstract | In this bachelor project, I consider the evolution of the concept 'continuity' from the beginning of the nineteenth century to the beginning of the twentieth century. I first discuss how the concept of continuity was rigorized by Bolzano, Cauchy and Heine by means of the Intermediate Value Theorem. I then discuss how the mathematical objects involving the concept of continuity were generalized by Ascoli, Arzelà and Fréchet. | |
| dc.description.sponsorship | Utrecht University | |
| dc.language.iso | EN | |
| dc.subject | Rigorizations and Generalizations of the Concept of Continuity. | |
| dc.title | Analysis Continued - History of Continuity from Bolzano to Fréchet | |
| dc.type.content | Bachelor Thesis | |
| dc.rights.accessrights | Open Access | |
| dc.subject.keywords | Continuity; Historical Analysis; Intermediate Value Theorem; Arzelà-Ascoli Theorem | |
| dc.subject.courseuu | Wiskunde | |
| dc.thesis.id | 2180 | |
