Although few original native maps have survived, contemporary copies and accounts of mapmaking form a rich resource for anyone interested in the history of Native American encounters or the history of cartography and geography. Other contributions include a study of colonial Aztec cartography that highlights the connections among maps, space, and history an account of the importance of native maps as archaeological evidence and an interpretation of an early-contact-period hide painting of an actual encounter involving whites and two groups of warring natives.
Malcolm Lewis provides accessible and detailed overviews of the history of native North American maps, mapmaking, and scholarly interest in these topics. This book charts the history of these cartographic encounters, examining native maps and mapmaking from the pre- and post-contact periods. Thus, as part of the NCGIA proposal from a consortium consisting of the University of California at Santa Barbara, the State University of New York at Buffalo, and the University of Maine, we proposed that the second major Research Initiative (two year, multidisciplinary research project) of the NCOIA would address these issues, and would be called "Languages of Spatial Relations" The grant to establish the NCOIA was awarded to our consortium late in 1988.Įver since a Native American prepared a paper "charte" of the lower Colorado River for the Spaniard Hernando de Alarcón in 1540, Native Americans have been making maps in the course of encounters with whites. We felt that such a fundamental theory could be searched for in mathematics (geometry, topology) or in cognitive science, but that a simultaneous search in these two seemingly disparate research areas might produce novel results. National Science Foundation issued a solicitation for proposals to establish the NCGIA-and one element of that solicitation was a call for research on a "fundamental theory of spatial relations". National Center for Geographic Infonnation and Analysis (NCOIA). The NATO ASI marked a stage in a two-year research project at the U. This book contains twenty-eight papers by participants in the NATO Advanced Study Institute (ASI) on "Cognitive and Linguistic Aspects of Geographic Space," held in Las Navas del Maxques, Spain, July 8-20, 1990. This carefully paced book covers more projections, with gentle and progressive immersion in the mathematics involved, than any other book of its kind. 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. The book concludes by looking at factors influencing Mean Sea Level and notes the cartographic aspects of current developments. 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. 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. He also supplies numerous one-page tutorials that review terms and methodologies, helping minimize the challenges of unfamiliar mathematical territory.
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. The book is a compilation of more than a hundred map projections, from classic conics to contemporary transformations using complex variables.
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. 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.
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