Variations on a theorem by van der Waerden
| dc.contributor.author | Johannson, Karen R | |
| dc.contributor.examiningcommittee | Craigen, Robert (Mathematics) Padmanabhan, Ranganathan (Mathematics) Landman, Bruce (State University of West Georgia) | en |
| dc.contributor.supervisor | Gunderson, David (Mathematics) | en |
| dc.date.accessioned | 2007-04-10T15:29:06Z | |
| dc.date.available | 2007-04-10T15:29:06Z | |
| dc.date.issued | 2007-04-10T15:29:06Z | |
| dc.degree.discipline | Mathematics | en_US |
| dc.degree.level | Master of Science (M.Sc.) | en_US |
| dc.description.abstract | The central result presented in this thesis is van der Waerden's theorem on arithmetic progressions. Van der Waerden's theorem guarantees that for any integers k and r, there is an n so that however the set {1, 2, ... , n} is split into r disjoint partition classes, at least one partition class will contain a k-term arithmetic progression. Presented here are a number of variations and generalizations of van der Waerden's theorem that utilize a wide range of techniques from areas of mathematics including combinatorics, number theory, algebra, and topology. | en |
| dc.description.note | May 2007 | en |
| dc.format.extent | 995090 bytes | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.uri | http://hdl.handle.net/1993/321 | |
| dc.language.iso | eng | en_US |
| dc.rights | open access | en_US |
| dc.subject | combinatorics | en |
| dc.subject | arithmetic progressions | en |
| dc.title | Variations on a theorem by van der Waerden | en |
| dc.type | master thesis | en_US |