Mercatorova projekce, loxodromy a souvislosti
Thesis title in Czech: | Mercatorova projekce, loxodromy a souvislosti |
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Thesis title in English: | Mercator projection, loxodromes, and related topics |
Key words: | Mercatorova projekce, loxodroma, stereografická 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. |
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 |