Presents modern and efficient methods for solving Geodetic and Geoinformatics algebraic problems illustrated with Mathematica using computer algebra techniques of Ring, Polynomials, Groebner basis, Resultants including Dixon resultant, Gauss-Jacobi combinatorial and Procrustes algorithms as well as homotopy methods.
Preface to the first edition; Preface to the second edition; Foreword; Contents; Introduction; Motivation; Modern challenges; Facing the challenges; Concluding remarks; Part I Algebraic symbolic and numeric methods; Basics of ring theory; Basics of polynomial theory; Groebner basis; Polynomial resultants; Linear homotpy; Solutions of Overdetermined Systems; Extended Newton-Raphson method; Procrustes solution; Part II Applications to geodesy and geoinformatics; LPS-GNSS orientations and vertical deflections; Cartesian to ellipsoidal mapping; Positioning by ranging.