Map of the World: An Introduction to Mathematical Geodesy, 1st Edition (Hardback) book cover

Map of the World

An Introduction to Mathematical Geodesy, 1st Edition

By Martin Vermeer, Antti Rasila

CRC Press

272 pages | 89 B/W Illus.

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Hardback: 9780367217730
pub: 2019-08-12
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The development of mathematical theory, together with its implementation and use, needed to process, analyze, integrate and validate geodetic data, such as measurements for landsurveying, is referred to as the discipline of Mathematical Geodesy. It is about 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. Map of the World: An Introduction to Mathematical Geodesy aims to provide an accessible introduction to this area, presenting the most pertinent mathematical foundations relating to maps, mapping and the production of geospatial data.


• Written in a fluid and accessible style, replete with exercises; ideal for undergraduate courses

• Suitable for students of land surveying and natural science, as well as professionals, but also for map amateurs

Table of Contents

Chapter 1. A Brief History of Mapping

Chapter 2. Popular Conformal Map Projection

Chapter 3. The Complex Plane and Conformal Mappings

Chapter 4. Complex Analysis

Chapter 5. Conformal Mappings

Chapter 6. Transversal Mercator Projections

Chapter 7. Sperical Trigonometry

Chapter 8. The Geometry of the Ellipsoid of Revolution

Chapter 9. Three-dimensional Co-ordinates and Transformations

Chapter 10. Co-ordinate Reference Systems

Chapter 11. Co-ordinates of Heaven and Earth

Chapter 12. The Orbital Motion of Satellites

Chapter 13. The Surface Theory of Gauss

Chapter 14. Riemann Surfaces and Charts

Chapter 15. Map Projections in the Light of Surface Theory

About the Authors

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

Antti Rasila is associate professor at Guangdong Technion, Israeli Institute of Technology.

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