یادداشتهای مربوط به کتابنامه ، واژه نامه و نمایه های داخل اثر
متن يادداشت
Includes bibliographical references and index.
یادداشتهای مربوط به مندرجات
متن يادداشت
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.
متن يادداشت
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.