000 03308nam a22004935i 4500
001 u374185
003 SIRSI
005 20160812084222.0
007 cr nn 008mamaa
008 100715s2010 gw | s |||| 0|eng d
020 _a9783642121241
_9978-3-642-12124-1
040 _cMX-MeUAM
100 1 _aAwange, Joseph L.
_eauthor.
245 1 0 _aAlgebraic Geodesy and Geoinformatics
_h[recurso electrónico] /
_cby Joseph L. Awange, Erik W. Grafarend, Béla Paláncz, Piroska Zaletnyik.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2010.
300 _aXVIII, 377 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aAlgebraic 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 -- Applications to geodesy and geoinformatics -- LPS-GNSS orientations and vertical deflections -- Cartesian to ellipsoidal mapping -- Positioning by ranging -- Positioning by resection methods -- Positioning by intersection methods -- GNSS environmental monitoring -- Algebraic diagnosis of outliers -- Datum transformation problems.
520 _aThe 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.
650 0 _aGeography.
650 0 _aMathematical geography.
650 0 _aRemote sensing.
650 0 _aGeographical information systems.
650 0 _aComputer science
_xMathematics.
650 1 4 _aEarth Sciences.
650 2 4 _aComputer Applications in Earth Sciences.
650 2 4 _aGeographical Information Systems/Cartography.
650 2 4 _aComputational Mathematics and Numerical Analysis.
650 2 4 _aRemote Sensing/Photogrammetry.
650 2 4 _aMathematical Applications in Earth Sciences.
700 1 _aGrafarend, Erik W.
_eauthor.
700 1 _aPaláncz, Béla.
_eauthor.
700 1 _aZaletnyik, Piroska.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642121234
856 4 0 _zLibro electrónico
_uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-3-642-12124-1
596 _a19
942 _cLIBRO_ELEC
999 _c202065
_d202065