Map of the World: An Introduction to Mathematical Geodesy

ISBN-13: 9781032177540 / Angielski / Miękka / 2021 / 292 str.

Martin Vermeer; Antti Rasila

Opis

Mathematical Geodesy refers to the calculus of observation, the validation of measurements and mathematical models, and the analysis of spatial and temporal phenomena in geosciences, i.e. about parameter estimation, testing and reliability, and about interpolation and prediction.

Spis treści

1. A Brief History of Mapping. 2. Popular Conformal Map Projections. 3. The Complex Plane and Conformal Mappings. 4. Complex Analysis. 5. Conformal Mappings. 6. Transversal Mercator Projections. 7. Sperical Trigonometry. 8. The Geometry of the Ellipsoid of Revolution. 9. Three-dimensional Co-ordinates and Transformations. 10. Co-ordinate Reference Systems. 11. Co-ordinates of Heaven and Earth. 12. The Orbital Motion of Satellites. 13. The Surface Theory of Gauss. 14. Riemann Surfaces and Charts. 15. Map Projections in the Light of Surface Theory. 16. Appendices

O autorze

Martin Vermeer is professor of geodesy in the Department of the Built Environment, Aalto University, Finland.

Antti Rasila is associate professor of mathematics at Guangdong Technion – Israel Institute of Technology, Guangdong, China.