Solving algebraic computational problems in geodesy and geoinformatics: the answer to modern challenges
Gespeichert in:
Hauptverfasser: | , |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Berlin [u.a.]
Springer
2005
|
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | Literaturverz. S. [309] - 326 |
Beschreibung: | XVII, 333 S. Ill., graph. Darst. |
ISBN: | 354023425X |
Internformat
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100 | 1 | |a Awange, Joseph L. |d 1969- |e Verfasser |0 (DE-588)123537959 |4 aut | |
245 | 1 | 0 | |a Solving algebraic computational problems in geodesy and geoinformatics |b the answer to modern challenges |
264 | 1 | |a Berlin [u.a.] |b Springer |c 2005 | |
300 | |a XVII, 333 S. |b Ill., graph. Darst. | ||
336 | |b txt |2 rdacontent | ||
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500 | |a Literaturverz. S. [309] - 326 | ||
650 | 7 | |a Geodésia matemática |2 larpcal | |
650 | 4 | |a Géodésie - Mathématiques | |
650 | 4 | |a Géomatique | |
650 | 4 | |a Mathematik | |
650 | 4 | |a Geodesy |x Mathematics | |
650 | 4 | |a Geomatics | |
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Datensatz im Suchindex
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adam_text | JOSEPH L. AWANGE ERIK W. GRAFAREND SOLVING ALGEBRAIC COMPUTATIONAL
PROBLEMS IN GEODESY AND GEOINFORMATICS THE ANSWER TO MODERN CHALLENGES
WITH 79 FIGURES J SPRINGER CONTENTS PREFACE VII 1 INTRODUCTION . 1 2
BASICS OF RING THEORY 7 2.1 SOME APPLICATIONS TO GEODESY AND
GEOINFORMATICS 7 2.2 NUMBERS FROM OPERATIONAL PERSPECTIVE 8 2.3 NUMBER
RINGS 12 2.4 CONCLUDING REMARKS 16 3 BASICS OF POLYNOMIAL THEORY . 17
3.1 POLYNOMIAL EQUATIONS 17 3.2 POLYNOMIAL RINGS 19 3.2.1 POLYNOMIAL
OBJECTS AS RINGS 19 3.2.2 OPERATIONS ADDITION AND MULTIPLICATION 21
3.3 FACTORING POLYNOMIALS 22 3.4 POLYNOMIAL ROOTS 22 3.5 MINIMAL
POLYNOMIALS 24 3.6 POLYNOMIALS WITH REAL COEFFICIENTS 24 3.6.1 QUADRATIC
POLYNOMIALS 24 3.6.2 CUBIC POLYNOMIALS 26 3.6.3 QUARTIC POLYNOMIALS 27
3.7 CONCLUDING REMARKS 28 4 GROEBNER BASIS 29 4.1 THE ORIGIN 29 4.2
BASICS OF GROEBNER BASIS 31 4.3 BUCHBERGER ALGORITHM 38 XIV CONTENTS
4.3.1 MATHEMATICA COMPUTATION OF GROEBNER BASIS .... 43 4.3.2 MAPLE
COMPUTATION OF GROEBNER BASIS 45 4.4 CONCLUDING REMARKS 45 5 POLYNOMIAL
RESULTANTS 47 5.1 RESULTANTS: AN ALTERNATIVE TO GROEBNER BASIS 47 5.2
SYLVESTER RESULTANTS 48 5.3 MULTIPOLYNOMIAL RESULTANTS 50 5.3.1 F.
MACAULAY FORMULATION: 51 5.3.2 B. STURMFELS FORMULATION 53 5.4
CONCLUDING REMARKS 54 6 GAUSS-JACOBI COMBINATORIAL ALGORITHM 57 6.1
ESTIMATING UNKNOWN PARAMETERS 57 6.2 COMBINATORIAL APPROACH: THE ORIGIN
58 6.3 LINEAR AND NONLINEAR GAUSS-MARKOV MODELS 61 6.4 GAUSS-JACOBI
COMBINATORIAL FORMULATION ?. 64 6.5 COMBINATORIAL SOLUTION OF NONLINEAR
GAUSS-MARKOV MODEL 68 6.6 CONCLUDING REMARKS 75 7 LOCAL VERSUS GLOBAL
POSITIONING SYSTEMS 77 7.1 POSITIONING SYSTEMS 77 7.2 GLOBAL POSITIONING
SYSTEM (GPS) 78 7.3 LOCAL POSITIONING SYSTEMS (LPS) 79 7.3.1 LOCAL
DATUM CHOICE IN AN LPS 3-D NETWORK 80 7.3.2 RELATIONSHIP BETWEEN GLOBAL
AND LOCAL LEVEL REFERENCE FRAMES 82 7.3.3 OBSERVATION EQUATIONS 84 7.4
TEST NETWORK STUTTGART CENTRAL 85 7.5 CONCLUDING REMARKS 87 8 PARTIAL
PROCRUSTES AND THE ORIENTATION PROBLEM 89 8.1 MOTIVATION : 89 8.2
PROCRUSTES: ORIGIN AND APPLICATIONS 91 8.2.1 PROCRUSTES AND THE MAGIC
BED 91 8.2.2 MULTIDIMENSIONAL SCALING 92 8.2.3 APPLICATIONS OF
PROCRUSTES IN MEDICINE 93 8.3 PARTIAL PROCRUSTES SOLUTION 95 8.3.1
CONVENTIONAL FORMULATION 95 CONTENTS XV 8.3.2 PARTIAL DERIVATIVE
FORMULATION 98 8.4 PRACTICAL APPLICATIONS 99 8.4.1 THREE-DIMENSIONAL
ORIENTATION PROBLEM 99 8.4.2 DETERMINATION OF VERTICAL DEFLECTION 103
8.5 CONCLUDING REMARKS 104 9 POSITIONING BY RANGING 105 9.1 APPLICATIONS
OF DISTANCES 105 9.2 RANGING BY GLOBAL POSITIONING SYSTEM (GPS) 107
9.2.1 THE PSEUDO-RANGING FOUR-POINTS PROBLEM 107 9.2.2 RANGING TO MORE
THAN FOUR GPS SATELLITES 116 9.2.3 LEAST SQUARES VERSUS GAUSS-JACOBI
COMBINATORIAL. 119 9.3 RANGING BY LOCAL POSITIONING SYSTEMS (LPS) 122
9.3.1 PLANAR RANGING 122 9.3.2 THREE-DIMENSIONAL RANGING 133 9.4
CONCLUDING REMARKS 146 10 FROM GEOCENTRIC CARTESIAN TO ELLIPSOIDAL
COORDINATES 147 10.1 MAPPING TOPOGRAPHICAL POINTS ONTO REFERENCE
ELLIPSOID . 147 10.2 MAPPING GEOMETRY 150 10.3 MINIMUM DISTANCE MAPPING
153 10.3.1 GRAFAREND-LOHSE S MAPPING OF T 2 * W? AAB 156 10.3.2
GROEBNER BASIS MAPPING OFT 2 * E 2 AB . 158 10.4 CONCLUDING REMARKS
164 11 POSITIONING BY RESECTION METHODS 165 11.1 RESECTION PROBLEM AND
ITS IMPORTANCE 165 11.2 GEODETIC RESECTION 168 11.2.1 PLANAR RESECTION
168 11.2.2 THREE-DIMENSIONAL RESECTION 175 11.3 PHOTOGRAMMETRIC
RESECTION 193 11.3.1 GRAFAREND-SHAN MOBIUS PHOTOGRAMMETRIC RESECTION 194
11.3.2 ALGEBRAIC PHOTOGRAMMETRIC RESECTION . 195 11.4 CONCLUDING REMARKS
197 12 POSITIONING BY INTERSECTION METHODS 199 12.1 INTERSECTION PROBLEM
AND ITS IMPORTANCE 199 12.2 GEODETIC INTERSECTION 200 12.2.1 PLANAR
INTERSECTION 200 XVI CONTENTS 12.2.2 THREE-DIMENSIONAL INTERSECTION 205
12.3 PHOTOGRAMMETRIC INTERSECTION 214 12.4 CONCLUDING REMARKS 216 13 GPS
METEOROLOGY IN ENVIRONMENTAL MONITORING. ...... 217 13.1 SATELLITE
ENVIRONMENTAL MONITORING 217 13.2 GPS REMOTE SENSING 223 13.2.1 SPACE
BORNE GPS METEOROLOGY 223 13.2.2 GROUND BASED GPS METEOROLOGY 225 13.3
REFRACTION (BENDING) ANGLES 227 13.3.1 TRANSFORMATION OF TRIGONOMETRIC
EQUATIONS TO ALGEBRAIC 229 13.3.2 ALGEBRAIC DETERMINATION OF BENDING
ANGLES 231 13.4 ALGEBRAIC ANALYSIS OF SOME CHAMP DATA 234 13.5
CONCLUDING REMARKS 243 14 ALGEBRAIC DIAGNOSIS OF OUTLIERS ;245 14.1
OUTLIERS IN OBSERVATION SAMPLES 245 14.2 ALGEBRAIC DIAGNOSIS OF OUTLIERS
247 14.2.1 OUTLIER DIAGNOSIS IN PLANAR RANGING 249 14.2.2 DIAGNOSIS OF
MULTIPATH ERROR IN GPS POSITIONING . 253 14.3 CONCLUDING REMARKS 258 15
TRANSFORMATION PROBLEM: PROCRUSTES ALGORITHM II ... 259 15.1 7-PARAMETER
DATUM TRANSFORMATION AND ITS IMPORTANCE . 259 15.2 ALGEBRAIC (ANALYTIC)
DETERMINATION OF TRANSFORMATION PARAMETERS 262 15.2.1 GROEBNER BASIS
TRANSFORMATION 262 15.2.2 GAUSS-JACOBI COMBINATORIAL TRANSFORMATION 267
15.2.3 PROCRUSTES ALGORITHM II 272 15.2.4 WEIGHTED PROCRUSTES
TRANSFORMATION 286 15.3 CONCLUDING REMARK 291 16 COMPUTER ALGEBRA
SYSTEMS (CAS) 293 16.1 GENERAL AND SPECIAL PURPOSE CAS 293 16.2 SOME CAS
SOFTWARE USEFUL IN GEODESY AND GEOINFORMATICS294 16.2.1 MATLAB 294
16.2.2 MAPLE 298 16.2.3 MATHEMATICA 299 16.2.4 REDUCE 299 CONTENTS XVII
16.3 CONCLUDING REMARKS 300 APPENDIX 303 APPENDIX A-L: DEFINITIONS 303
APPENDIX A-2: C. F. GAUSS COMBINATORIAL APPROACH 305 REFERENCES 309
INDEX 327
|
adam_txt |
JOSEPH L. AWANGE ERIK W. GRAFAREND SOLVING ALGEBRAIC COMPUTATIONAL
PROBLEMS IN GEODESY AND GEOINFORMATICS THE ANSWER TO MODERN CHALLENGES
WITH 79 FIGURES J SPRINGER CONTENTS PREFACE VII 1 INTRODUCTION .' 1 2
BASICS OF RING THEORY 7 2.1 SOME APPLICATIONS TO GEODESY AND
GEOINFORMATICS 7 2.2 NUMBERS FROM OPERATIONAL PERSPECTIVE 8 2.3 NUMBER
RINGS 12 2.4 CONCLUDING REMARKS 16 3 BASICS OF POLYNOMIAL THEORY .' 17
3.1 POLYNOMIAL EQUATIONS 17 3.2 POLYNOMIAL RINGS 19 3.2.1 POLYNOMIAL
OBJECTS AS RINGS 19 3.2.2 OPERATIONS "ADDITION" AND "MULTIPLICATION" 21
3.3 FACTORING POLYNOMIALS 22 3.4 POLYNOMIAL ROOTS 22 3.5 MINIMAL
POLYNOMIALS 24 3.6 POLYNOMIALS WITH REAL COEFFICIENTS 24 3.6.1 QUADRATIC
POLYNOMIALS 24 3.6.2 CUBIC POLYNOMIALS 26 3.6.3 QUARTIC POLYNOMIALS 27
3.7 CONCLUDING REMARKS 28 4 GROEBNER BASIS 29 4.1 THE ORIGIN 29 4.2
BASICS OF GROEBNER BASIS 31 4.3 BUCHBERGER ALGORITHM 38 XIV CONTENTS
4.3.1 MATHEMATICA COMPUTATION OF GROEBNER BASIS . 43 4.3.2 MAPLE
COMPUTATION OF GROEBNER BASIS 45 4.4 CONCLUDING REMARKS 45 5 POLYNOMIAL
RESULTANTS 47 5.1 RESULTANTS: AN ALTERNATIVE TO GROEBNER BASIS 47 5.2
SYLVESTER RESULTANTS 48 5.3 MULTIPOLYNOMIAL RESULTANTS 50 5.3.1 F.
MACAULAY FORMULATION: 51 5.3.2 B. STURMFELS' FORMULATION 53 5.4
CONCLUDING REMARKS 54 6 GAUSS-JACOBI COMBINATORIAL ALGORITHM 57 6.1
ESTIMATING UNKNOWN PARAMETERS 57 6.2 COMBINATORIAL APPROACH: THE ORIGIN
58 6.3 LINEAR AND NONLINEAR GAUSS-MARKOV MODELS 61 6.4 GAUSS-JACOBI
COMBINATORIAL FORMULATION ?. 64 6.5 COMBINATORIAL SOLUTION OF NONLINEAR
GAUSS-MARKOV MODEL 68 6.6 CONCLUDING REMARKS 75 7 LOCAL VERSUS GLOBAL
POSITIONING SYSTEMS 77 7.1 POSITIONING SYSTEMS 77 7.2 GLOBAL POSITIONING
SYSTEM (GPS) ' 78 7.3 LOCAL POSITIONING SYSTEMS (LPS) 79 7.3.1 LOCAL
DATUM CHOICE IN AN LPS 3-D NETWORK 80 7.3.2 RELATIONSHIP BETWEEN GLOBAL
AND LOCAL LEVEL REFERENCE FRAMES 82 7.3.3 OBSERVATION EQUATIONS 84 7.4
TEST NETWORK STUTTGART CENTRAL 85 7.5 CONCLUDING REMARKS 87 8 PARTIAL
PROCRUSTES AND THE ORIENTATION PROBLEM 89 8.1 MOTIVATION : 89 8.2
PROCRUSTES: ORIGIN AND APPLICATIONS 91 8.2.1 PROCRUSTES AND THE MAGIC
BED 91 8.2.2 MULTIDIMENSIONAL SCALING 92 8.2.3 APPLICATIONS OF
PROCRUSTES IN MEDICINE 93 8.3 PARTIAL PROCRUSTES SOLUTION 95 8.3.1
CONVENTIONAL FORMULATION 95 CONTENTS XV 8.3.2 PARTIAL DERIVATIVE
FORMULATION 98 8.4 PRACTICAL APPLICATIONS 99 8.4.1 THREE-DIMENSIONAL
ORIENTATION PROBLEM 99 8.4.2 DETERMINATION OF VERTICAL DEFLECTION 103
8.5 CONCLUDING REMARKS 104 9 POSITIONING BY RANGING 105 9.1 APPLICATIONS
OF DISTANCES 105 9.2 RANGING BY GLOBAL POSITIONING SYSTEM (GPS) 107
9.2.1 THE PSEUDO-RANGING FOUR-POINTS PROBLEM 107 9.2.2 RANGING TO MORE
THAN FOUR GPS SATELLITES 116 9.2.3 LEAST SQUARES VERSUS GAUSS-JACOBI
COMBINATORIAL. 119 9.3 RANGING BY LOCAL POSITIONING SYSTEMS (LPS) 122
9.3.1 PLANAR RANGING 122 9.3.2 THREE-DIMENSIONAL RANGING 133 9.4
CONCLUDING REMARKS 146 10 FROM GEOCENTRIC CARTESIAN TO ELLIPSOIDAL
COORDINATES 147 10.1 MAPPING TOPOGRAPHICAL POINTS ONTO REFERENCE
ELLIPSOID . 147 10.2 MAPPING GEOMETRY 150 10.3 MINIMUM DISTANCE MAPPING
153 10.3.1 GRAFAREND-LOHSE'S MAPPING OF T 2 * W? AAB 156 10.3.2
GROEBNER BASIS' MAPPING OFT 2 * E 2 AB '. 158 10.4 CONCLUDING REMARKS
164 11 POSITIONING BY RESECTION METHODS 165 11.1 RESECTION PROBLEM AND
ITS IMPORTANCE 165 11.2 GEODETIC RESECTION 168 11.2.1 PLANAR RESECTION \
168 11.2.2 THREE-DIMENSIONAL RESECTION 175 11.3 PHOTOGRAMMETRIC
RESECTION 193 11.3.1 GRAFAREND-SHAN MOBIUS PHOTOGRAMMETRIC RESECTION 194
11.3.2 ALGEBRAIC PHOTOGRAMMETRIC RESECTION . 195 11.4 CONCLUDING REMARKS
197 12 POSITIONING BY INTERSECTION METHODS 199 12.1 INTERSECTION PROBLEM
AND ITS IMPORTANCE 199 12.2 GEODETIC INTERSECTION 200 12.2.1 PLANAR
INTERSECTION 200 XVI CONTENTS 12.2.2 THREE-DIMENSIONAL INTERSECTION 205
12.3 PHOTOGRAMMETRIC INTERSECTION 214 12.4 CONCLUDING REMARKS 216 13 GPS
METEOROLOGY IN ENVIRONMENTAL MONITORING. . 217 13.1 SATELLITE
ENVIRONMENTAL MONITORING 217 13.2 GPS REMOTE SENSING 223 13.2.1 SPACE
BORNE GPS METEOROLOGY 223 13.2.2 GROUND BASED GPS METEOROLOGY 225 13.3
REFRACTION (BENDING) ANGLES 227 13.3.1 TRANSFORMATION OF TRIGONOMETRIC
EQUATIONS TO ALGEBRAIC 229 13.3.2 ALGEBRAIC DETERMINATION OF BENDING
ANGLES 231 13.4 ALGEBRAIC ANALYSIS OF SOME CHAMP DATA 234 13.5
CONCLUDING REMARKS 243 14 ALGEBRAIC DIAGNOSIS OF OUTLIERS ;245 14.1
OUTLIERS IN OBSERVATION SAMPLES 245 14.2 ALGEBRAIC DIAGNOSIS OF OUTLIERS
247 14.2.1 OUTLIER DIAGNOSIS IN PLANAR RANGING 249 14.2.2 DIAGNOSIS OF
MULTIPATH ERROR IN GPS POSITIONING . 253 14.3 CONCLUDING REMARKS 258 15
TRANSFORMATION PROBLEM: PROCRUSTES ALGORITHM II . 259 15.1 7-PARAMETER
DATUM TRANSFORMATION AND ITS IMPORTANCE . 259 15.2 ALGEBRAIC (ANALYTIC)
DETERMINATION OF TRANSFORMATION PARAMETERS 262 15.2.1 GROEBNER BASIS
TRANSFORMATION 262 15.2.2 GAUSS-JACOBI COMBINATORIAL TRANSFORMATION 267
15.2.3 PROCRUSTES ALGORITHM II 272 15.2.4 WEIGHTED PROCRUSTES
TRANSFORMATION 286 15.3 CONCLUDING REMARK 291 16 COMPUTER ALGEBRA
SYSTEMS (CAS) 293 16.1 GENERAL AND SPECIAL PURPOSE CAS 293 16.2 SOME CAS
SOFTWARE USEFUL IN GEODESY AND GEOINFORMATICS294 16.2.1 MATLAB 294
16.2.2 MAPLE 298 16.2.3 MATHEMATICA 299 16.2.4 REDUCE 299 CONTENTS XVII
16.3 CONCLUDING REMARKS 300 APPENDIX 303 APPENDIX A-L: DEFINITIONS 303
APPENDIX A-2: C. F. GAUSS COMBINATORIAL APPROACH 305 REFERENCES 309
INDEX 327 |
any_adam_object | 1 |
any_adam_object_boolean | 1 |
author | Awange, Joseph L. 1969- Grafarend, Erik W. 1939-2020 |
author_GND | (DE-588)123537959 (DE-588)121959368 |
author_facet | Awange, Joseph L. 1969- Grafarend, Erik W. 1939-2020 |
author_role | aut aut |
author_sort | Awange, Joseph L. 1969- |
author_variant | j l a jl jla e w g ew ewg |
building | Verbundindex |
bvnumber | BV021982319 |
callnumber-first | Q - Science |
callnumber-label | QB283 |
callnumber-raw | QB283 |
callnumber-search | QB283 |
callnumber-sort | QB 3283 |
callnumber-subject | QB - Astronomy |
classification_rvk | RB 10104 |
ctrlnum | (OCoLC)57388906 (DE-599)BVBBV021982319 |
dewey-full | 526/.1/0151 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 526 - Mathematical geography |
dewey-raw | 526/.1/0151 |
dewey-search | 526/.1/0151 |
dewey-sort | 3526 11 3151 |
dewey-tens | 520 - Astronomy and allied sciences |
discipline | Physik Geographie |
discipline_str_mv | Physik Geographie |
format | Book |
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id | DE-604.BV021982319 |
illustrated | Illustrated |
index_date | 2024-07-02T16:10:03Z |
indexdate | 2024-07-09T20:48:44Z |
institution | BVB |
isbn | 354023425X |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-015197390 |
oclc_num | 57388906 |
open_access_boolean | |
owner | DE-706 DE-83 |
owner_facet | DE-706 DE-83 |
physical | XVII, 333 S. Ill., graph. Darst. |
publishDate | 2005 |
publishDateSearch | 2005 |
publishDateSort | 2005 |
publisher | Springer |
record_format | marc |
spelling | Awange, Joseph L. 1969- Verfasser (DE-588)123537959 aut Solving algebraic computational problems in geodesy and geoinformatics the answer to modern challenges Berlin [u.a.] Springer 2005 XVII, 333 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Literaturverz. S. [309] - 326 Geodésia matemática larpcal Géodésie - Mathématiques Géomatique Mathematik Geodesy Mathematics Geomatics Geoinformatik (DE-588)7571300-7 gnd rswk-swf Geoinformationssystem (DE-588)4261642-6 gnd rswk-swf Informatik (DE-588)4026894-9 gnd rswk-swf Computeralgebra (DE-588)4010449-7 gnd rswk-swf GPS (DE-588)4216824-7 gnd rswk-swf Geowissenschaften (DE-588)4020288-4 gnd rswk-swf Berechnung (DE-588)4120997-7 gnd rswk-swf Geodäsie (DE-588)4020202-1 gnd rswk-swf Computeralgebra (DE-588)4010449-7 s Geodäsie (DE-588)4020202-1 s Geoinformatik (DE-588)7571300-7 s DE-604 Geowissenschaften (DE-588)4020288-4 s Informatik (DE-588)4026894-9 s 1\p DE-604 GPS (DE-588)4216824-7 s Geoinformationssystem (DE-588)4261642-6 s Berechnung (DE-588)4120997-7 s 2\p DE-604 Grafarend, Erik W. 1939-2020 Verfasser (DE-588)121959368 aut GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015197390&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Awange, Joseph L. 1969- Grafarend, Erik W. 1939-2020 Solving algebraic computational problems in geodesy and geoinformatics the answer to modern challenges Geodésia matemática larpcal Géodésie - Mathématiques Géomatique Mathematik Geodesy Mathematics Geomatics Geoinformatik (DE-588)7571300-7 gnd Geoinformationssystem (DE-588)4261642-6 gnd Informatik (DE-588)4026894-9 gnd Computeralgebra (DE-588)4010449-7 gnd GPS (DE-588)4216824-7 gnd Geowissenschaften (DE-588)4020288-4 gnd Berechnung (DE-588)4120997-7 gnd Geodäsie (DE-588)4020202-1 gnd |
subject_GND | (DE-588)7571300-7 (DE-588)4261642-6 (DE-588)4026894-9 (DE-588)4010449-7 (DE-588)4216824-7 (DE-588)4020288-4 (DE-588)4120997-7 (DE-588)4020202-1 |
title | Solving algebraic computational problems in geodesy and geoinformatics the answer to modern challenges |
title_auth | Solving algebraic computational problems in geodesy and geoinformatics the answer to modern challenges |
title_exact_search | Solving algebraic computational problems in geodesy and geoinformatics the answer to modern challenges |
title_exact_search_txtP | Solving algebraic computational problems in geodesy and geoinformatics the answer to modern challenges |
title_full | Solving algebraic computational problems in geodesy and geoinformatics the answer to modern challenges |
title_fullStr | Solving algebraic computational problems in geodesy and geoinformatics the answer to modern challenges |
title_full_unstemmed | Solving algebraic computational problems in geodesy and geoinformatics the answer to modern challenges |
title_short | Solving algebraic computational problems in geodesy and geoinformatics |
title_sort | solving algebraic computational problems in geodesy and geoinformatics the answer to modern challenges |
title_sub | the answer to modern challenges |
topic | Geodésia matemática larpcal Géodésie - Mathématiques Géomatique Mathematik Geodesy Mathematics Geomatics Geoinformatik (DE-588)7571300-7 gnd Geoinformationssystem (DE-588)4261642-6 gnd Informatik (DE-588)4026894-9 gnd Computeralgebra (DE-588)4010449-7 gnd GPS (DE-588)4216824-7 gnd Geowissenschaften (DE-588)4020288-4 gnd Berechnung (DE-588)4120997-7 gnd Geodäsie (DE-588)4020202-1 gnd |
topic_facet | Geodésia matemática Géodésie - Mathématiques Géomatique Mathematik Geodesy Mathematics Geomatics Geoinformatik Geoinformationssystem Informatik Computeralgebra GPS Geowissenschaften Berechnung Geodäsie |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015197390&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
work_keys_str_mv | AT awangejosephl solvingalgebraiccomputationalproblemsingeodesyandgeoinformaticstheanswertomodernchallenges AT grafarenderikw solvingalgebraiccomputationalproblemsingeodesyandgeoinformaticstheanswertomodernchallenges |