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An Introduction To The Mathematics Of Map Projections
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Book Synopsis An Introduction to the Mathematics of Map Projections by : R. K. Melluish
Download or read book An Introduction to the Mathematics of Map Projections written by R. K. Melluish and published by Cambridge University Press. This book was released on 2014-10-09 with total page 155 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1931 as a guide for mathematically-minded geography students, this book addresses the mathematical theories underlying the construction of maps. Melluish reviews the problems inherent in depicting a sphere on a flat plane and the various ways in which these problems can be solved by varying projections. This book will be of value to anyone with an interest in the mathematical underpinnings of maps.
Book Synopsis An Introduction to the Mathematics of Map Projections by :
Download or read book An Introduction to the Mathematics of Map Projections written by and published by CUP Archive. This book was released on with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An Introduction to the Mathematics of Map Projections by : R.. Melluish
Download or read book An Introduction to the Mathematics of Map Projections written by R.. Melluish and published by . This book was released on 1931 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An Introduction to the Mathematics of Map Projections by : R. H. Melluish
Download or read book An Introduction to the Mathematics of Map Projections written by R. H. Melluish and published by . This book was released on 1931 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Map ProjectionsTheory and Applications by : Frederick Pearson,II
Download or read book Map ProjectionsTheory and Applications written by Frederick Pearson,II and published by Routledge. This book was released on 2018-04-27 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: About the Author: Frederick Pearson has extensive experience in teaching map projection at the Air Force Cartography School and Virginia Polytechnic Institute. He developed star charts, satellite trajectory programs, and a celestial navigation device for the Aeronautical Chart and Information Center. He is an expert in orbital analysis of satellites, and control and guidance systems. At McDonnell-Douglas, he worked on the guidance system for the space shuttle. This text develops the plotting equations for the major map projections. The emphasis is on obtaining usable algorithms for computed aided plotting and CRT display. The problem of map projection is stated, and the basic terminology is introduced. The required fundamental mathematics is reviewed, and transformation theory is developed. Theories from differential geometry are particularized for the transformation from a sphere or spheroid as the model of the earth onto a selected plotting surface. The most current parameters to describe the figure of the earth are given. Formulas are included to calculate meridian length, parallel length, geodetic and geocentric latitude, azimuth, and distances on the sphere or spheroid. Equal area, conformal, and conventional projection transformations are derived. All result in direct transformation from geographic to cartesian coordinates. For selected projections, inverse transformations from cartesian to geographic coordinates are given. Since the avoidance of distortion is important, the theory of distortion is explored. Formulas are developed to give a quantitative estimate of linear, area, and angular distortions. Extended examples are given for several mapping problems of interest. Computer applications, and efficient algorithms are presented. This book is an appropriate text for a course in the mathematical aspects of mapping and cartography. Map projections are of interest to workers in many fields. Some of these are mathematicians, engineers, surveyors, geodi
Book Synopsis an introduction to the mathematics of map projections by :
Download or read book an introduction to the mathematics of map projections written by and published by CUP Archive. This book was released on with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 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 291 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 Map Projections by : Arthur Robert Hinks
Download or read book Map Projections written by Arthur Robert Hinks and published by . This book was released on 1912 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Working with Map Projections by : Fritz Kessler
Download or read book Working with Map Projections written by Fritz Kessler and published by CRC Press. This book was released on 2019-05-03 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: A map projection fundamentally impacts the mapmaking process. Working with Map Projections: A Guide to Their Selection explains why, for any given map, there isn’t a single "best" map projection. Selecting a projection is a matter of understanding the compromises and consequences of showing a 3-D space in two dimensions. The book presents a clear understanding of the processes necessary to make logical decisions on selecting an appropriate map projection for a given data set. The authors discuss the logic needed in the selection process, describe why certain decisions should be made, and explain the consequences of any inappropriate decision made during the selection process. This book also explains how the map projection will impact the map’s ability to fulfill its purpose, uses real-world data sets as the basis for the selection of an appropriate map projection, and provides illustrations of an appropriately and inappropriately selected map projection for a given data set. The authors take a novel approach to discussing map projections by avoiding an extensive inventory of mathematical formulae and using only the mathematics of map projections that matter for many mapping tasks. They also present information that is directly applicable to the process of selecting map projections and not tied to a specific software package. Written by two leading experts, this book is an invaluable resource for anyone studying or working with geospatial data, from students to experienced professionals, and will help readers successfully weigh the pros and cons of choosing one projection over another to suit a map’s intended purpose.
Book Synopsis Map ProjectionsTheory and Applications by : Frederick Pearson, II
Download or read book Map ProjectionsTheory and Applications written by Frederick Pearson, II and published by CRC Press. This book was released on 1990-03-28 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: About the Author: Frederick Pearson has extensive experience in teaching map projection at the Air Force Cartography School and Virginia Polytechnic Institute. He developed star charts, satellite trajectory programs, and a celestial navigation device for the Aeronautical Chart and Information Center. He is an expert in orbital analysis of satellites, and control and guidance systems. At McDonnell-Douglas, he worked on the guidance system for the space shuttle. This text develops the plotting equations for the major map projections. The emphasis is on obtaining usable algorithms for computed aided plotting and CRT display. The problem of map projection is stated, and the basic terminology is introduced. The required fundamental mathematics is reviewed, and transformation theory is developed. Theories from differential geometry are particularized for the transformation from a sphere or spheroid as the model of the earth onto a selected plotting surface. The most current parameters to describe the figure of the earth are given. Formulas are included to calculate meridian length, parallel length, geodetic and geocentric latitude, azimuth, and distances on the sphere or spheroid. Equal area, conformal, and conventional projection transformations are derived. All result in direct transformation from geographic to cartesian coordinates. For selected projections, inverse transformations from cartesian to geographic coordinates are given. Since the avoidance of distortion is important, the theory of distortion is explored. Formulas are developed to give a quantitative estimate of linear, area, and angular distortions. Extended examples are given for several mapping problems of interest. Computer applications, and efficient algorithms are presented. This book is an appropriate text for a course in the mathematical aspects of mapping and cartography. Map projections are of interest to workers in many fields. Some of these are mathematicians, engineers, surveyors, geodicests, geographers, astronomers, and military intelligence analysts and strategists.
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 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.
Book Synopsis Understanding Map Projections by : Melita Kennedy
Download or read book Understanding Map Projections written by Melita Kennedy and published by ESRI Press. This book was released on 2000 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Map Projectionstheory and Applications by : II Pearson
Download or read book Map Projectionstheory and Applications written by II Pearson and published by CRC Press. This book was released on 2020-09-30 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: About the Author: Frederick Pearson has extensive experience in teaching map projection at the Air Force Cartography School and Virginia Polytechnic Institute. He developed star charts, satellite trajectory programs, and a celestial navigation device for the Aeronautical Chart and Information Center. He is an expert in orbital analysis of satellites, and control and guidance systems. At McDonnell-Douglas, he worked on the guidance system for the space shuttle. This text develops the plotting equations for the major map projections. The emphasis is on obtaining usable algorithms for computed aided plotting and CRT display. The problem of map projection is stated, and the basic terminology is introduced. The required fundamental mathematics is reviewed, and transformation theory is developed. Theories from differential geometry are particularized for the transformation from a sphere or spheroid as the model of the earth onto a selected plotting surface. The most current parameters to describe the figure of the earth are given. Formulas are included to calculate meridian length, parallel length, geodetic and geocentric latitude, azimuth, and distances on the sphere or spheroid. Equal area, conformal, and conventional projection transformations are derived. All result in direct transformation from geographic to cartesian coordinates. For selected projections, inverse transformations from cartesian to geographic coordinates are given. Since the avoidance of distortion is important, the theory of distortion is explored. Formulas are developed to give a quantitative estimate of linear, area, and angular distortions. Extended examples are given for several mapping problems of interest. Computer applications, and efficient algorithms are presented. This book is an appropriate text for a course in the mathematical aspects of mapping and cartography. Map projections are of interest to workers in many fields. Some of these are mathematicians, engineers, surveyors, geodi
Book Synopsis Map Projections (Classic Reprint) by : Arthur R. Hinks
Download or read book Map Projections (Classic Reprint) written by Arthur R. Hinks and published by . This book was released on 2015-07-20 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Map Projections The subject of Map Projections has become over complicated because it has interested many mathematicians. The parts of the subject which are of mathematical interest are embodied in theorems of great elegance and considerable difficulty; in particular, the theory of the conformal representation of one surface upon another leads to developments which, from the mathematical standpoint, are of the highest importance, and possess an extensive literature. Yet we shall find that the property of orthomorphism, which plays such a large and difficult part in the theory of Map Projections, is not in most cases of any great advantage or importance in actual mapmaking. In writing a book on Map Projections, the usual course has been to present the general mathematical theory first, and to discuss the practical questions involved at a later stage. The result is that the geographer sometimes finds himself unable to follow the bearing of the mathematics, and arrives at the consideration of the practical side of the subject in a very unformed state of mind. I propose to adopt the principle of a very distinguished topographer, that in a book on Map Projections intended for the mapmaker and the map user, "one should draw the line at the root of minus one." If one follows this course, one often finds it impossible to show how some of the more elegant projections may be arrived at by a deduction from general principles. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Book Synopsis An Introduction to the Study of Map Projections by : J. A. Steers
Download or read book An Introduction to the Study of Map Projections written by J. A. Steers and published by . This book was released on 2003-01 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:
