Introduction to mathematical techniques used in GIS:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Boca Raton [u.a.]
CRC Press
2005
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XV, 202 S. graph. Darst. |
| ISBN: | 0415334144 9780415334143 |
Internformat
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Datensatz im Suchindex
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| adam_text | Titel: Introduction to mathematical techniques used in GIS
Autor: Dale, Peter
Jahr: 2005
Contents
List of Tables and Figures xi
Biography xv
Chapter 1. Characteristics of Geographic Information 1
1.1 Geographic Information and Data 1
1.2 Categories of Data 2
1.3 Spatial Referencing 4
1.4 Lines and Shapes 7
Chapter 2. Numbers and Numerical Analysis 9
2.1 The Rules of Arithmetic 9
2.2 The Binary System 13
2.3 Square Roots 15
2.4 Indices and Logarithms 17
Chapter 3. Algebra — Treating Numbers as Symbols 23
3.1 The Theorem of Pythagoras 23
3.2 The Equations for Intersecting Lines 25
3.3 Points in Polygons 30
3.4 The Equation for a Plane 31
3.5 Further Algebraic Equations 31
3.6 Functions and Graphs 36
3.7 Interpolating Intermediate Values 38
Chapter 4. The Geometry of Common Shapes 43
4.1 Triangles and Circles 43
4.2 Areas of Triangles 46
4.3 Centers of a Triangle 49
4.4 Polygons 51
4.5 The Sphere and the Ellipse 53
4.6 Sections of a Cone 55
Chapter 5. Plane and Spherical Trigonometry 59
5.1 Basic Trigonometric Functions 59
5.2 Obtuse Angles 63
5.3 Combined Angles 65
5.4 Bearings and Distances 67
5.5 Angles on a Sphere 72
vii
.77
..77
..81
..83
..85
..87
..91
..91
..94
..95
..98
..99
105
109
115
115
119
121
122
128
.131
.131
.132
.139
,140
.142
.145
.147
.153
.153
.156
.160
.163
.165
.166
.169
.170
Differential and Integral Calculus
6.1 The Basis of Differentiation
6.2 Differentiating Trigonometric Functions
6.3 Polynomial Functions
6.4 Basic Integration
6.5 Areas and Volumes
Matrices, Determinants, and Vectors
7.1 Basic Matrix Operations
7.2 Determinants
7.3 Related Matrices
7.4 Applying Matrices
7.5 Rotations and Translations
7.6 Simplifying Matrices
7.7 Vectors
Curves and Surfaces
8.1 Parametric Forms
8.2 The Ellipse
8.3 The Radius of Curvature
8.4 Fitting Curves to Points
8.5 The Bezier Curve
Transformations
9.1 Homogeneous Coordinates
9.2 Rotating an Object
9.3 Hidden Lines and Surfaces
9.4 Map Projections
9.5 Cylindrical Projections
9.6 Azimuthal Projections
9.7 Conical Projections
Basic Statistics
10.1 Probabilities
10.2 Measures of Central Tendency
10.3 The Normal Distribution
10.4 Levels of Significance
10.5 The /-Test
10.6 Analysis of Variance
10.7 The Chi-Squared Test
10.8 The Poisson Distribution
CONTENTS x
Chapter 11. Best-Fit Solutions 173
11.1 Correlation 173
11.2 Regression 176
11.3 Weights 180
11.4 Linearization 182
11.5 Least-Square Solutions 184
Further Reading 197
Index 199
|
| adam_txt |
Titel: Introduction to mathematical techniques used in GIS
Autor: Dale, Peter
Jahr: 2005
Contents
List of Tables and Figures xi
Biography xv
Chapter 1. Characteristics of Geographic Information 1
1.1 Geographic Information and Data 1
1.2 Categories of Data 2
1.3 Spatial Referencing 4
1.4 Lines and Shapes 7
Chapter 2. Numbers and Numerical Analysis 9
2.1 The Rules of Arithmetic 9
2.2 The Binary System 13
2.3 Square Roots 15
2.4 Indices and Logarithms 17
Chapter 3. Algebra — Treating Numbers as Symbols 23
3.1 The Theorem of Pythagoras 23
3.2 The Equations for Intersecting Lines 25
3.3 Points in Polygons 30
3.4 The Equation for a Plane 31
3.5 Further Algebraic Equations 31
3.6 Functions and Graphs 36
3.7 Interpolating Intermediate Values 38
Chapter 4. The Geometry of Common Shapes 43
4.1 Triangles and Circles 43
4.2 Areas of Triangles 46
4.3 Centers of a Triangle 49
4.4 Polygons 51
4.5 The Sphere and the Ellipse 53
4.6 Sections of a Cone 55
Chapter 5. Plane and Spherical Trigonometry 59
5.1 Basic Trigonometric Functions 59
5.2 Obtuse Angles 63
5.3 Combined Angles 65
5.4 Bearings and Distances 67
5.5 Angles on a Sphere 72
vii
.77
.77
.81
.83
.85
.87
.91
.91
.94
.95
.98
.99
105
109
115
115
119
121
122
128
.131
.131
.132
.139
,140
.142
.145
.147
.153
.153
.156
.160
.163
.165
.166
.169
.170
Differential and Integral Calculus
6.1 The Basis of Differentiation
6.2 Differentiating Trigonometric Functions
6.3 Polynomial Functions
6.4 Basic Integration
6.5 Areas and Volumes
Matrices, Determinants, and Vectors
7.1 Basic Matrix Operations
7.2 Determinants
7.3 Related Matrices
7.4 Applying Matrices
7.5 Rotations and Translations
7.6 Simplifying Matrices
7.7 Vectors
Curves and Surfaces
8.1 Parametric Forms
8.2 The Ellipse
8.3 The Radius of Curvature
8.4 Fitting Curves to Points
8.5 The Bezier Curve
Transformations
9.1 Homogeneous Coordinates
9.2 Rotating an Object
9.3 Hidden Lines and Surfaces
9.4 Map Projections
9.5 Cylindrical Projections
9.6 Azimuthal Projections
9.7 Conical Projections
Basic Statistics
10.1 Probabilities
10.2 Measures of Central Tendency
10.3 The Normal Distribution
10.4 Levels of Significance
10.5 The /-Test
10.6 Analysis of Variance
10.7 The Chi-Squared Test
10.8 The Poisson Distribution
CONTENTS 'x
Chapter 11. Best-Fit Solutions 173
11.1 Correlation 173
11.2 Regression 176
11.3 Weights 180
11.4 Linearization 182
11.5 Least-Square Solutions 184
Further Reading 197
Index 199 |
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| spelling | Dale, Peter Verfasser aut Introduction to mathematical techniques used in GIS Peter Dale Boca Raton [u.a.] CRC Press 2005 XV, 202 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Géographie - Mathématiques Systèmes d'information géographique Geografie Mathematik Geography Mathematics Geographic information systems Mathematik (DE-588)4037944-9 gnd rswk-swf Mathematische Methode (DE-588)4155620-3 gnd rswk-swf Geoinformationssystem (DE-588)4261642-6 gnd rswk-swf Geografie (DE-588)4020216-1 gnd rswk-swf Geoinformationssystem (DE-588)4261642-6 s Mathematische Methode (DE-588)4155620-3 s Geografie (DE-588)4020216-1 s Mathematik (DE-588)4037944-9 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014780820&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Dale, Peter Introduction to mathematical techniques used in GIS Géographie - Mathématiques Systèmes d'information géographique Geografie Mathematik Geography Mathematics Geographic information systems Mathematik (DE-588)4037944-9 gnd Mathematische Methode (DE-588)4155620-3 gnd Geoinformationssystem (DE-588)4261642-6 gnd Geografie (DE-588)4020216-1 gnd |
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| title | Introduction to mathematical techniques used in GIS |
| title_auth | Introduction to mathematical techniques used in GIS |
| title_exact_search | Introduction to mathematical techniques used in GIS |
| title_exact_search_txtP | Introduction to mathematical techniques used in GIS |
| title_full | Introduction to mathematical techniques used in GIS Peter Dale |
| title_fullStr | Introduction to mathematical techniques used in GIS Peter Dale |
| title_full_unstemmed | Introduction to mathematical techniques used in GIS Peter Dale |
| title_short | Introduction to mathematical techniques used in GIS |
| title_sort | introduction to mathematical techniques used in gis |
| topic | Géographie - Mathématiques Systèmes d'information géographique Geografie Mathematik Geography Mathematics Geographic information systems Mathematik (DE-588)4037944-9 gnd Mathematische Methode (DE-588)4155620-3 gnd Geoinformationssystem (DE-588)4261642-6 gnd Geografie (DE-588)4020216-1 gnd |
| topic_facet | Géographie - Mathématiques Systèmes d'information géographique Geografie Mathematik Geography Mathematics Geographic information systems Mathematische Methode Geoinformationssystem |
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