Uncertainties in GPS Positioning - A Mathematical Discourse - Grand Format

Today, we all know what a GPS receiver is : it communicates with a satellite system and lets you know where you are on a map. A receiver receives signals from several orbiting satellites and processes them. The receiver has a built-in map. Uncertainties in GPS Positioning : A Mathematical Discourse describes the calculations performed by a GPS receiver and describes the problem associated with making sure that the estimated location is in close agreement with the actual location.
The book provides a brief introduction to positioning and navigation systems, followed by the main topics that cover an introduction to GPS, basic GPS principles, signals from satellites to receiver for GPS, GPS modernization, signals from satellites to receiver for other satellite navigation systems, the solution of an idealized problem, and sources of inaccuracy. An example positioning problem with estimated inaccuracies is presented in detail, including a step-by-step mathematical solution.
For each topic, background information is provided to aid the comprehension of the subject mater. The future of satellite navigation systems is also discussed. The reader will benefit from being able to : understand how a GPS receiver calculates its position, understand why the calculated position is only an approximation to the true position, gain some appreciation of the factors that contribute to the difficulties in calculating an approximation of the true position, and gain some appreciation of the mathematical steps that are employed in order to reduce errors in the approximation.