Title: Algebraic geodesy and geoinformatics
Description: The book presents modern and efficient methods for solving Geodetic and Geoinformatics algebraic problems. Numerous examples are illustrated with Mathematica using the computer algebra techniques of Ring, Polynomials, Groebner basis, Resultants (including Dixon resultants), Gauss-Jacobi combinatorial and Procrustes algorithms, as well as homotopy methods. While these problems are traditionally solved by approximate methods, this book presents alternative algebraic techniques based on computer algebra tools. ¬ This new approach meets such modern challenges as resection by laser techniques, solution of orientation in Robotics, transformation and bundle block adjustment in Geoinformatics, densification of Engineering networks, analytical solution for GNSS-meteorology and many other problems. For Mathematicians, the book provides some practical examples of the application of abstract algebra and multidimensional scaling.
Subjects: Mathematics, Geodesy, Geomatics, Geographic information systems, Geography, Mathematical geography, Remote sensing, Geographical information systems, Computer science, Earth Sciences, Computer Applications in Earth Sciences, Geographical Information Systems/Cartography, Computational Mathematics and Numerical Analysis, Remote Sensing/Photogrammetry, Mathematical Applications in Earth Sciences