Observations and their analysis -- Random error theory -- Confidence intervals -- Statistical testing -- Propagation of random errors in indirectly measured quantities -- Error propagation in angle and distance observations -- Error propagation in traverse survey -- Error propagation in elevation determination -- Weights of observations -- Principles of least squares -- Adjustment of level nets -- Precisions of indirectly determined quantities -- Adjustment of horizontal surveys: trilateration -- Adjustment of horizontal surveys: triangulation -- Adjustment of horizontal surveys: traverses and horizontal networks -- Adjustment of GNSS network -- Coordinate transformations -- Error ellipse -- Constraint equations -- Blunder detection in horizontal networks -- General least squares method and its application to curve fitting an coordinate transformations -- Three-dimensional geodetic network adjustment -- Combining GPS and terrestrial observations -- Analysis of adjustments -- Computer optimization -- Appendix : introduction to matrices ; Solution of equations by matrix methods ; Nonlinear equations and Taylor's theorem ; Normal error distribution curve and other statistical tables ; Confidence intervals for the mean ;Map projection coordinate systems ; Companion web site ; Solutions to selected problems

1. Surveying -- Mathematics
2. Spatial analysis (Statistics)