Mercatorova projekce, loxodromy a souvislosti
| Thesis title in Czech: | Mercatorova projekce, loxodromy a souvislosti |
|---|---|
| Thesis title in English: | Mercator projection, loxodromes, and related topics |
| Key words: | Mercatorova projekce, loxodroma, stereogra fická projekce, exponenciální funkce v komplexním oboru |
| English key words: | Mercator projection, loxodrome, stereographic projection, complex exponential function |
| Academic year of topic announcement: | 2011/2012 |
| Thesis type: | Bachelor's thesis |
| Thesis language: | čeština |
| Department: | Department of Mathematics Education (32-KDM) |
| Supervisor: | doc. RNDr. Antonín Slavík, Ph.D., DSc. |
| Author: | hidden - assigned and confirmed by the Study Dept. |
| Date of registration: | 06.10.2011 |
| Date of assignment: | 11.10.2011 |
| Confirmed by Study dept. on: | 21.10.2011 |
| Date and time of defence: | 21.06.2012 00:00 |
| Date of electronic submission: | 23.05.2012 |
| Date of submission of printed version: | 24.05.2012 |
| Date of proceeded defence: | 21.06.2012 |
| Opponents: | doc. RNDr. Leo Boček, CSc. |
| Guidelines |
| Práce bude zaměřena na použití diferenciální geometrie v matematické kartografii. Pozornost bude věnována zejména Mercatorově projekci, loxodromám, jejich vzájemnému vztahu a dalším souvislostem. Kromě sféry budou uvažovány i další rotační plochy. |
| References |
| 1) M. P. do Carmo, Differential Geometry of Curves and Surfaces, Prentice-Hall, 1976
2) J. Alexander, Loxodromes: A Rhumb Way to Go, Mathematics Magazine, Vol. 77, No. 5 (2004), 349-356 3) W. Pijls, Some Properties Related to Mercator Projection, The American Mathematical Monthly, Vol. 108, No. 6 (2001), 537-543 4) J. M. Sachs, A Curious Mixture of Maps, Dates, and Names, Mathematics Magazine, Vol. 60, No. 3 (1987), 151-158 5) V. F. Rickey and P. M. Tuchinsky, An Application of Geography to Mathematics: History of the Integral of the Secant, Mathematics Magazine, Vol. 53, No. 3 (1980), 162-166 6) J. Nord and E. Miller, Mercator's Rhumb Lines: A Multivariable Application of Arc Length, The College Mathematics Journal, Vol. 27, No. 5 (1996), 384-387 7) E. Maor, Trigonometric Delights, Princeton University Press, 1998 |