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Mathematical Cartography
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Book Synopsis Mathematical Cartography by : Alekseĭ Vasilʹevich Graur
Download or read book Mathematical Cartography written by Alekseĭ Vasilʹevich Graur and published by . This book was released on 1956 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Maths for Map Makers by : Arthur Laidlaw Allan
Download or read book Maths for Map Makers written by Arthur Laidlaw Allan and published by . This book was released on 2004 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is designed to assist anyone with the mathematics involved in map making. It starts from an elementary standpoint and progresses to give the student a sufficient level of understanding to cope with most topics encountered by the map maker, including those of elementary surveying. The material is in two carefully cross-referenced parts. Mathematical topics and concepts are presented in the first part, enabling the relevance of each topic to be made clear, while the second part contains a glossary and formulae summaries with several appendices.
Book Synopsis Cartographic Science by : Donald Fenna
Download or read book Cartographic Science written by Donald Fenna and published by CRC Press. This book was released on 2006-10-25 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Portraits of the Earth by : Timothy G. Feeman
Download or read book Portraits of the Earth written by Timothy G. Feeman and published by American Mathematical Soc.. This book was released on 2002 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: ``Every map is a tool, a product of human effort and creativity, that represents some aspects of our world or universe ... [This] course was powered by the belief that by exploring the mathematical ideas involved in creating and analyzing maps, students would see how mathematics could help them to understand and explain their world.'' -from the Preface Portraits of the Earth exemplifies the AMS's mission to bring the power and vitality of mathematical thought to the nonexpert. It isdesigned to teach students to think logically and to analyze the technical information that they so readily encounter every day. Maps are exciting, visual tools that we encounter on a daily basis: from street maps to maps of the world accompanying news stories to geologic maps depicting theunderground structure of the earth. This book explores the mathematical ideas involved in creating and analyzing maps, a topic that is rarely discussed in undergraduate courses. It is the first modern book to present the famous problem of mapping the earth in a style that is highly readable and mathematically accessible to most students. Feeman's writing is inviting to the novice, yet also interesting to readers with more mathematical experience. Through the visual context of maps andmapmaking, students will see how contemporary mathematics can help them to understand and explain the world. Topics explored are the shape and size of the earth, basic spherical geometry, and why one can't make a perfect flat map of the planet. The author discusses different attributes that maps can have anddetermines mathematically how to design maps that have the desired features. The distortions that arise in making world maps are quantitatively analyzed. There is an in-depth discussion on the design of numerous map projections-both historical and contemporary-as well as conformal and equal-area maps. Feeman looks at how basic map designs can be modified to produce maps with any center, and he indicates how to generalize methods to produce maps of arbitrary surfaces of revolution. Also includedare end-of-chapter exercises and laboratory projects. Particularly interesting is a chapter that explains how to use MapleR add-on software to make maps from geographic data points. This book would make an excellent text for a basic undergraduate mathematics or geography course and would beespecially appealing to the teacher who is interested in exciting visual applications in the classroom. It would also serve nicely as supplementary reading for a course in calculus, linear algebra, or differential geometry. Prerequisites include a solid grasp of trigonometry and basic calculus. RWaterloo Maple, Inc., Ontario, Canada.
Book Synopsis Map of the World by : Martin Vermeer
Download or read book Map of the World written by Martin Vermeer and published by CRC Press. This book was released on 2019-08-19 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Carl Friedrich Gauss, the "foremost of mathematicians," was a land surveyor. Measuring and calculating geodetic networks on the curved Earth was the inspiration for some of his greatest mathematical discoveries. This is just one example of how mathematics and geodesy, the science and art of measuring and mapping our world, have evolved together throughout history. This text is for students and professionals in geodesy, land surveying, and geospatial science who need to understand the mathematics of describing the Earth and capturing her in maps and geospatial data: the discipline known as mathematical geodesy. Map of the World: An Introduction to Mathematical Geodesy aims to provide an accessible introduction to this area, presenting and developing the mathematics relating to maps, mapping, and the production of geospatial data. Described are the theory and its fundamental concepts, its application for processing, analyzing, transforming, and projecting geospatial data, and how these are used in producing charts and atlases. Also touched upon are the multitude of cross-overs into other sciences sharing in the adventure of discovering what our world really looks like. FEATURES • Written in a fluid and accessible style, replete with exercises; adaptable for courses on different levels. • Suitable for students and professionals in the mapping sciences, but also for lovers of maps and map making.
Book Synopsis Advances in Cartography and Geographic Information Engineering by : Jiayao Wang
Download or read book Advances in Cartography and Geographic Information Engineering written by Jiayao Wang and published by Springer Nature. This book was released on 2021-07-30 with total page 646 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reviews and summarizes the development and achievement in cartography and geographic information engineering in China over the past 60 years after the founding of the People's Republic of China. It comprehensively reflects cartography, as a traditional discipline, has almost the same long history with the world's first culture and has experienced extraordinary and great changes. The book consists of nineteen thematic chapters. Each chapter is in accordance with the unified directory structure, introduction, development process, major study achievements, problem and prospect, representative works, as well as a lot of references. It is useful as a reference both for scientists and technicians who are engaged in teaching, researching and engineering of cartography and geographic information engineering.
Book Synopsis Spatial Mathematics by : Sandra Lach Arlinghaus
Download or read book Spatial Mathematics written by Sandra Lach Arlinghaus and published by CRC Press. This book was released on 2013-06-26 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: In terms of statistics, GIS offers many connections. With GIS, data are gathered, displayed, summarized, examined, and interpreted to discover patterns. Spatial Mathematics: Theory and Practice through Mapping uses GIS as a platform to teach mathematical concepts and skills through visualization of numbers. It examines theory and practice from disparate academic disciplines such as geography, mathematics, physics, and general social science. This approach allows students to grapple with biodiversity, crime, natural hazards, climate, energy, water, and other relevant real-world issues of the twenty-first century. Includes QR Codes Linked to Animated Maps, a Mapping Activity Site, or to an Interactive Webpage, Creating an Interactive Resource That Stays Relevant The book integrates competing philosophical views of the world: synthesis and analysis. These two approaches yield different results and employ different tools. This book considers both approaches to looking at real-world issues that have mathematics as a critical, but often unseen, component. This approach shows readers how to use mathematics to consider the broad problem at hand and to explore diverse realms in the worlds of geography and mathematics and in their interface. A truly interdisciplinary text, the book bridges the worlds of mathematics and geography and demonstrates how they are inextricably linked. It takes advantage of the convergence in citizen science, STEM education, and mapping that help readers become critical consumers of data—understanding its content, quality, limitations, and benefits. It provides thorough grounding in the analytical, statistical, and computational skills required for working in any field that uses geospatial technologies—not just surveyors and remote sensing analysts.
Book Synopsis Map Projections by : L M Bugayevskiy
Download or read book Map Projections written by L M Bugayevskiy and published by CRC Press. This book was released on 2013-12-19 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: Map projection concerns the science of mathematical cartography, the techniques by which the Earth's dimensions, shape and features are translated in map form, be that two-dimensional paper or two- or three- dimensional electronic representations. The central focus of this book is on the theory of map projections. Mathematical cartography also take
Book Synopsis Flattening the Earth by : John P. Snyder
Download or read book Flattening the Earth written by John P. Snyder and published by University of Chicago Press. This book was released on 1997-12-05 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cartographers have long grappled with the impossibility of portraying the earth in two dimensions. To solve this problem, mapmakers have created map projections. This work discusses and illustrates the known map projections from before 500BC to the present, with facts on their origins and use.
Download or read book Cartography written by Carlos Bateira and published by BoD – Books on Demand. This book was released on 2012-08-17 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: The terrestrial space is the place of interaction of natural and social systems. The cartography is an essential tool to understand the complexity of these systems, their interaction and evolution. This brings the cartography to an important place in the modern world. The book presents several contributions at different areas and activities showing the importance of the cartography to the perception and organization of the territory. Learning with the past or understanding the present the use of cartography is presented as a way of looking to almost all themes of the knowledge.
Book Synopsis World-maps for Finding the Direction and Distance to Mecca by : David King
Download or read book World-maps for Finding the Direction and Distance to Mecca written by David King and published by BRILL. This book was released on 2021-09-06 with total page 670 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two remarkable Iranian world-maps were discovered in 1989 and 1995. Both are made of brass and date from 17th-century Iran. Mecca is at the centre and a highly sophisticated longitude and latitude grid enables the user to determine the direction and distance to Mecca for anywhere in the world between Andalusia and China. Prior to the discovery of these maps it was thought that such cartographic grids were conceived in Europe ca. 1910. This richly-illustrated book presents an overview of the ways in which Muslims over the centuries have determined the sacred direction towards Mecca (qibla) and then describes the two world-maps in detail. The author shows that the geographical data derives from a 15th-century Central Asian source and that the mathematics underlying the grid was developed in 9th-century Baghdad.
Book Synopsis Encyclopaedia of Mathematics by : M. Hazewinkel
Download or read book Encyclopaedia of Mathematics written by M. Hazewinkel and published by Springer. This book was released on 2013-12-01 with total page 927 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Thematic Cartography, Thematic Cartography and Transformations by : Colette Cauvin
Download or read book Thematic Cartography, Thematic Cartography and Transformations written by Colette Cauvin and published by John Wiley & Sons. This book was released on 2013-03-27 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: A thematic map is a map that illustrates more than simply geographical relationships or locations, but rather also portrays themes, patterns, or data relating to physical, social, medical, economic, political, or any other aspect of a region or location. Examples include maps that show variations of population density, climate data, wealth, voting intentions, or life expectancy with geographical location. These tools have become central to the work of scientists, practitioners, and students in nearly every field, from epidemiology to political science, and are familiar to members of the public as a common means of expressing complicated and multivariate information in easily understood graphical formats. This set of three volumes on Thematic Cartography considers maps as information constructs resulting from a number of successive information transformations and the products of decision stages, integrated into a logical reasoning and the order of those choices. It thereby provides a thorough understanding of the theoretical basis for thematic mapping, as well as the means of applying the various techniques and methodologies in order to create a desired analytical presentation. This first volume introduces the basics of thematic cartography. The authors present the transformations necessary to the production – using a scientific approach – of any thematic map. Four stages are detailed: from geographic entities to cartographic objects; the [XY] transformation; the [XYZ] cartographic transformations; and the semiotic transformation. Technical aspects giving map-reading keys are also included.
Book Synopsis Encyclopaedia of Mathematics by : Michiel Hazewinkel
Download or read book Encyclopaedia of Mathematics written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathematics. It is a translation with updates and editorial comments of the Soviet Mathematical En cyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977 - 1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivision has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathe matics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, engineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.
Book Synopsis Map Projection Transformation by : Qihe Yang
Download or read book Map Projection Transformation written by Qihe Yang and published by CRC Press. This book was released on 2020-11-26 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the advance of science and technology, there have been breakthroughs in the field of classical research and methods of map projection. Among these, computer science and space science have had the greater influence upon the field of research and the formation of a working body of map projection, developing them in breadth and depth. This book reflects several aspects of the development of modern mathematical cartography, especially the theory and methods of map projection transformation. Map projection transformation is an area of research in mathematical cartography newly developed over the last 25 years. It is widely used in surveying and computer-assisted cartography, data processing for information systems, and the transformation of data from space, remote sensing, and other space sciences. The development of map projection transformation not only expands new areas of research on mathematical cartography, but it also further develops the applied area with the creation and application of map projection transformation software and mapping mathematics bases on the computer.
Download or read book The Map Reader written by Martin Dodge and published by John Wiley & Sons. This book was released on 2011-05-09 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: WINNER OF THE CANTEMIR PRIZE 2012 awarded by the Berendel Foundation The Map Reader brings together, for the first time, classic and hard-to-find articles on mapping. This book provides a wide-ranging and coherent edited compendium of key scholarly writing about the changing nature of cartography over the last half century. The editorial selection of fifty-four theoretical and thought provoking texts demonstrates how cartography works as a powerful representational form and explores how different mapping practices have been conceptualised in particular scholarly contexts. Themes covered include paradigms, politics, people, aesthetics and technology. Original interpretative essays set the literature into intellectual context within these themes. Excerpts are drawn from leading scholars and researchers in a range of cognate fields including: Cartography, Geography, Anthropology, Architecture, Engineering, Computer Science and Graphic Design. The Map Reader provides a new unique single source reference to the essential literature in the cartographic field: more than fifty specially edited excerpts from key, classic articles and monographs critical introductions by experienced experts in the field focused coverage of key mapping practices, techniques and ideas a valuable resource suited to a broad spectrum of researchers and students working in cartography and GIScience, geography, the social sciences, media studies, and visual arts full page colour illustrations of significant maps as provocative visual ‘think-pieces’ fully indexed, clearly structured and accessible ways into a fast changing field of cartographic research
Book Synopsis Medieval Islamic Maps by : Karen C. Pinto
Download or read book Medieval Islamic Maps written by Karen C. Pinto and published by University of Chicago Press. This book was released on 2016-11-01 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hundreds of exceptional cartographic images are scattered throughout medieval and early modern Arabic, Persian, and Turkish manuscript collections. The plethora of copies created around the Islamic world over the course of eight centuries testifies to the enduring importance of these medieval visions for the Muslim cartographic imagination. With Medieval Islamic Maps, historian Karen C. Pinto brings us the first in-depth exploration of medieval Islamic cartography from the mid-tenth to the nineteenth century. Pinto focuses on the distinct tradition of maps known collectively as the Book of Roads and Kingdoms (Kitab al-Masalik wa al-Mamalik, or KMMS), examining them from three distinct angles—iconography, context, and patronage. She untangles the history of the KMMS maps, traces their inception and evolution, and analyzes them to reveal the identities of their creators, painters, and patrons, as well as the vivid realities of the social and physical world they depicted. In doing so, Pinto develops innovative techniques for approaching the visual record of Islamic history, explores how medieval Muslims perceived themselves and their world, and brings Middle Eastern maps into the forefront of the study of the history of cartography.