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100   $a20160128d2016      u|         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aGeospatial Algebraic Computations $eTheory and Applications /$fby Joseph Awange, Béla Paláncz
205   $a3rd ed. 2016.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2016.
215   $a1 online resource (548 p.)
300   $aDescription based upon print version of record.
311   $a3-319-25463-4 
320   $aIncludes bibliographical references and index.
327   $aPart I Algebraic symbolic and numeric methods -- Basics of Ring Theory -- Basics of Polynominal Theory -- Groebner Basis -- Polynominal Resultants -- Linear and Nonlinear Homotpy -- Solutions of Overdetermined Systems -- Extended Newton-Raphson method -- Procrustes Solution -- EIV models and Pareto Optimality.-Symbolic Regression -- Robust Estimation -- Part II 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 -- Appendix -- References -- Index.
330   $aImproved geospatial instrumentation and technology such as in laser scanning has now resulted in millions of data being collected, e.g., point clouds. It is in realization that such huge amount of data requires efficient and robust mathematical solutions that this third edition of the book extends the second edition by introducing three new chapters: Robust parameter estimation, Multiobjective optimization and Symbolic regression.  Furthermore, the linear homotopy chapter is expanded to include nonlinear homotopy. These disciplines are discussed first in the theoretical part of the book before illustrating their geospatial applications in the applications chapters where numerous numerical examples are presented. The renewed electronic supplement contains these new theoretical and practical topics, with the corresponding Mathematica statements and functions supporting their computations introduced and applied. This third edition is renamed in light of these technological advancements.
606   $aGeophysics
606   $aComputer mathematics
606   $aCivil engineering
606   $aComputer science?Mathematics
606   $aNumerical analysis
606   $aGeophysics/Geodesy$3https://scigraph.springernature.com/ontologies/product-market-codes/G18009
606   $aComputational Mathematics and Numerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M1400X
606   $aCivil Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/T23004
606   $aSymbolic and Algebraic Manipulation$3https://scigraph.springernature.com/ontologies/product-market-codes/I17052
606   $aNumeric Computing$3https://scigraph.springernature.com/ontologies/product-market-codes/I1701X
615  0$aGeophysics.
615  0$aComputer mathematics.
615  0$aCivil engineering.
615  0$aComputer science?Mathematics.
615  0$aNumerical analysis.
615 14$aGeophysics/Geodesy.
615 24$aComputational Mathematics and Numerical Analysis.
615 24$aCivil Engineering.
615 24$aSymbolic and Algebraic Manipulation.
615 24$aNumeric Computing.
676   $a550
700   $aAwange$b Joseph$4aut$4http://id.loc.gov/vocabulary/relators/aut$0821723
702   $aPaláncz$b Béla$4aut$4http://id.loc.gov/vocabulary/relators/aut
906   $aBOOK
912   $a9910254112503321
996   $aGeospatial Algebraic Computations$92511327
997   $aUNINA