dc.contributor.advisor | Šťovíček, Jan | |
dc.creator | Olšák, Radek | |
dc.date.accessioned | 2022-07-25T13:34:52Z | |
dc.date.available | 2022-07-25T13:34:52Z | |
dc.date.issued | 2022 | |
dc.identifier.uri | http://hdl.handle.net/20.500.11956/174619 | |
dc.description.abstract | The thesis presents different algebraic approaches to solving high school geometry problems. In particular, it shows the use of circle pencils, Desargues involution, the Method of Animation, and elliptic curves. It contains selected problems with solutions to show how these techniques can solve different problems. | en_US |
dc.language | English | cs_CZ |
dc.language.iso | en_US | |
dc.publisher | Univerzita Karlova, Matematicko-fyzikální fakulta | cs_CZ |
dc.subject | Animace|Desarguesova involuce|kružnice|kuželosečky|resultant|algebraická geometrie|projektivní geometrie|eliptická křivka | cs_CZ |
dc.subject | Animation|Desargues Involution|circles|conics|resultants|algebraic geometry|projective geometry|elliptic curve | en_US |
dc.title | Applications of algebraic geometry in mathematical contests | en_US |
dc.type | bakalářská práce | cs_CZ |
dcterms.created | 2022 | |
dcterms.dateAccepted | 2022-06-23 | |
dc.description.department | Department of Algebra | en_US |
dc.description.department | Katedra algebry | cs_CZ |
dc.description.faculty | Matematicko-fyzikální fakulta | cs_CZ |
dc.description.faculty | Faculty of Mathematics and Physics | en_US |
dc.identifier.repId | 244475 | |
dc.title.translated | Aplikace algebraické geometrie v matematických soutěžích | cs_CZ |
dc.contributor.referee | Opper, Sebastian | |
thesis.degree.name | Bc. | |
thesis.degree.level | bakalářské | cs_CZ |
thesis.degree.discipline | Informatika se specializací Obecná informatika | cs_CZ |
thesis.degree.discipline | Computer Science with specialisation in General Computer Science | en_US |
thesis.degree.program | Computer Science | en_US |
thesis.degree.program | Informatika | cs_CZ |
uk.thesis.type | bakalářská práce | cs_CZ |
uk.taxonomy.organization-cs | Matematicko-fyzikální fakulta::Katedra algebry | cs_CZ |
uk.taxonomy.organization-en | Faculty of Mathematics and Physics::Department of Algebra | en_US |
uk.faculty-name.cs | Matematicko-fyzikální fakulta | cs_CZ |
uk.faculty-name.en | Faculty of Mathematics and Physics | en_US |
uk.faculty-abbr.cs | MFF | cs_CZ |
uk.degree-discipline.cs | Informatika se specializací Obecná informatika | cs_CZ |
uk.degree-discipline.en | Computer Science with specialisation in General Computer Science | en_US |
uk.degree-program.cs | Informatika | cs_CZ |
uk.degree-program.en | Computer Science | en_US |
thesis.grade.cs | Výborně | cs_CZ |
thesis.grade.en | Excellent | en_US |
uk.abstract.en | The thesis presents different algebraic approaches to solving high school geometry problems. In particular, it shows the use of circle pencils, Desargues involution, the Method of Animation, and elliptic curves. It contains selected problems with solutions to show how these techniques can solve different problems. | en_US |
uk.file-availability | V | |
uk.grantor | Univerzita Karlova, Matematicko-fyzikální fakulta, Katedra algebry | cs_CZ |
thesis.grade.code | 1 | |
uk.publication-place | Praha | cs_CZ |
uk.thesis.defenceStatus | O | |