Portraits of the earth: a mathematician looks at maps
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, R.I.
American Mathematical Society
2002
|
| Series: | Mathematical world
18 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references (p. 119) and index |
| Physical Description: | XIII, 123 S. Ill., graph. Darst. |
| ISBN: | 0821832557 9780821832554 |
Staff View
MARC
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| 245 | 1 | 0 | |a Portraits of the earth |b a mathematician looks at maps |c Timothy G. Feeman |
| 264 | 1 | |a Providence, R.I. |b American Mathematical Society |c 2002 | |
| 300 | |a XIII, 123 S. |b Ill., graph. Darst. | ||
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| 490 | 1 | |a Mathematical world |v 18 | |
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Record in the Search Index
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| adam_text | Contents
Preface xi
Chapter 1. Geodesy measuring the earth 1
1. The shape of the earth 1
2. The size of the earth 2
3. Latitude 4
4. Longitude and time 6
5. Determining longitude two problems 6
6. A word on coordinates 8
7. Exercises 9
Chapter 2. Map projections 11
1. Three classes of projections 11
2. Map attributes 13
3. Attributes and map use 14
4. Map projections vs. mappaemundi 15
Chapter 3. Scale factors 17
1. Indicating map scale factors 17
2. Mathematics of scale factors 18
3. Exercises 21
Chapter 4. Distances and shortest paths on the sphere 23
1. Great circles 23
2. The sphere vs. Euclid 24
3. A proof using vector calculus 25
4. Computing distances 26
5. Exercises 27
Chapter 5. Angles, triangles, and area on a sphere 29
1. Measuring angles on a sphere 29
2. Spherical triangles 30
3. There are no ideal maps 31
4. A geometric proof of the spherical triangle area formula 32
5. Exercises 33
Chapter 6. Curvature of surfaces 35
1. No ideal maps, revisited 35
2. Gaussian curvature 36
3. Quantifying curvature 38
4. Exercises 40
vii
viü CONTENTS
Chapter 7. Classical projections
1. Classical azimuthal projections
2. The equirectangular projection
3. Ptolemy s projections
4. Globular projections
5. Exercises
49
Chapter 8. Equal area maps *
1. Computing areas
2. Lambert s equal area maps
3. The Gall Peters map 53
4. Pseudocylindrical projections
5. Exercises
Chapter 9. Conformal maps
1. The stereographic projection
2. Mercator s map
3. Exercises
Chapter 10. Analysis of map distortion
1. Length distortion
2. Area distortion
3. Angle distortion
4. Tissot s Indicatrix 75
77
5. Exercises
79
Chapter 11. Oblique perspectives
1. Changing the coordinate framework
2. The transverse Mercator map
3. Exercises 84
87
Chapter 12. Other worlds: Maps of surfaces of revolution
1. Surfaces of revolution
K7
2. Cartographic projections of Sf
3. Scale factors 88
ÄQ
4. Conformal mappings
5. Examples
6. Equal area maps
7. Distortion analysis
Appendix A. Aspects of thematic cartography: Symbolization, data
classification, and thematic maps
1. Map classification
2. Map symbolization
3. Data classification
4. Types of thematic maps *
Appendix B. Laboratory Projects 107
1. Project: Historical geodesy l07
2. Project: Curvature of surfaces 109
3. Project: World map design 110
CONTKNTS ix
4. Projeet: Navigation 113
Appendix C. Portraits of thc earth: How tho maps in this book were
produced 115
1. The Maptools package 115
2. Multi component displays 116
Bibliography 119
Index 121
|
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| discipline | Physik Bauingenieurwesen Mathematik Vermessungswesen Geographie |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T19:04:33Z |
| institution | BVB |
| isbn | 0821832557 9780821832554 |
| language | English |
| lccn | 2002027950 |
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| physical | XIII, 123 S. Ill., graph. Darst. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Mathematical world |
| series2 | Mathematical world |
| spelling | Feeman, Timothy G. Verfasser aut Portraits of the earth a mathematician looks at maps Timothy G. Feeman Providence, R.I. American Mathematical Society 2002 XIII, 123 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematical world 18 Includes bibliographical references (p. 119) and index Cartographie GEOMETRIA DIFERENCIAL larpcal Géographie mathématique Cartography Mathematical geography Mathematische Kartografie (DE-588)4688601-1 gnd rswk-swf Mathematische Kartografie (DE-588)4688601-1 s DE-604 Mathematical world 18 (DE-604)BV004574320 18 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009940434&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Feeman, Timothy G. Portraits of the earth a mathematician looks at maps Mathematical world Cartographie GEOMETRIA DIFERENCIAL larpcal Géographie mathématique Cartography Mathematical geography Mathematische Kartografie (DE-588)4688601-1 gnd |
| subject_GND | (DE-588)4688601-1 |
| title | Portraits of the earth a mathematician looks at maps |
| title_auth | Portraits of the earth a mathematician looks at maps |
| title_exact_search | Portraits of the earth a mathematician looks at maps |
| title_full | Portraits of the earth a mathematician looks at maps Timothy G. Feeman |
| title_fullStr | Portraits of the earth a mathematician looks at maps Timothy G. Feeman |
| title_full_unstemmed | Portraits of the earth a mathematician looks at maps Timothy G. Feeman |
| title_short | Portraits of the earth |
| title_sort | portraits of the earth a mathematician looks at maps |
| title_sub | a mathematician looks at maps |
| topic | Cartographie GEOMETRIA DIFERENCIAL larpcal Géographie mathématique Cartography Mathematical geography Mathematische Kartografie (DE-588)4688601-1 gnd |
| topic_facet | Cartographie GEOMETRIA DIFERENCIAL Géographie mathématique Cartography Mathematical geography Mathematische Kartografie |
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