Cartographic Science

A Compendium of Map Projections, with Derivations

Donald Fenna - Collection Environmental Engineering

500 pages, parution le 15/11/2006

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Résumé

Offers 30 one-page tutorials that review terms and methodologies
Includes appendices on Greek letters and words, a glossary of symbols, and index to projections
Addresses comparably the challenges of the necessary mathematics
Contains numerous black-and-white line maps as well as elaborate mathematical equations

Geographic books routinely introduce map projections without providing mathematical explanations of projections and few delve into complex mathematical development or cover the breadth of projections. From basic projecting to advanced transformations, Cartographic Science: A Compendium of Map Projections, with Derivations is a comprehensive reference that offers an explanation of the science of cartography.

The book is a compilation of more than a hundred map projections, from classic conics to contemporary transformations using complex variables. Starting from widely described geometric projecting onto flat paper, cylinder, and cone and then progressing through several layers of mathematics to reach modern projections, the author maximizes the application of one layer of complex mathematics before continuing on to the next. He also supplies numerous one-page tutorials that review terms and methodologies, helping minimize the challenges of unfamiliar mathematical territory.

Divided into four parts, the first section examines the shape and size of the Earth, then proceeds to investigate the means for relating the curved surface to a flat surface, and addresses scaling. It goes on to cover pertinent principles of projection including literal projecting, true but synthetic projections, secantal projections, pseudocylindrical projections, and pseudoconical projections, as well as the other variants of more serious projections. The book concludes by looking at factors influencing Mean Sea Level and notes the cartographic aspects of current developments.

Cartographic Science: A Compendium of Map Projections, with Derivations explains the mathematical development for a large range of projections within a framework of the different cartographic methodologies. This carefully paced book covers more projections, with gentle and progressive immersion in the mathematics involved, than any other book of its kind.

Sommaire

The Curved World
- The Task: Curved Earth to flat map
- The Task in Hand: A globe as model and intermediary
A Spherical World
- Shine a Light: Literal projections
- 'True' but Synthetic: Algebraic and other variants
- Slicing into the Globe: Secantal projections
- Turning from 'True': Pseudo... projections
- Cut and Paste: Interrupted and composite maps
- Skewing the Simple: The oblique aspect
- World in the Round: Globular projections
- Divide and Conquer: Extension by arithmetic tricks
- Double or Quits: Two-point and non-azimuthal Azimuthals
- Shaping Mathematics: Differential geometry
- Fact and Fiction: Of scales and distortion
- Seeking the Best: Optimizing distortion
- Keeping in Shape: More conformal projections
- Having Fun: Novelty projections
An Ellipsoidal World
- Squeezing the Circle: Ellipses and ellipsoids
- Pinpointing the Place: UTM & UPS
The Real World
- Reality Check: The geoid and geodesy
Appendices
- Greek letters and words
- Glossary of symbols
- Glossary of terms
- Index to projections
- Historical bibliography

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Caractéristiques techniques

	PAPIER
Éditeur(s)	CRC Press (Taylor and Francis Group)
Auteur(s)	Donald Fenna
Collection	Environmental Engineering
Parution	15/11/2006
Nb. de pages	500
Format	18,5 x 26,5
Couverture	Relié
Poids	1045g
Intérieur	Noir et Blanc
EAN13	9780849381690
ISBN13	978-0-8493-8169-0