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.
Download or read book Mathematics for Earth Science and Geography written by Cyril Fleurant and published by Springer. This book was released on 2018-09-19 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: This undergraduate textbook presents a unique comprehensive overview on Mathematics in Earth Sciences and Geography. It deals with fundamental theoretical and applied mathematics, needed by bachelor students in a wide range of subjects. The book is illustrated with many examples and over a hundred practical exercises, with solutions included in the book. In addition, this textbook highlights numerical resources by using two free software packages (R and Xcas) and introducing their use.
Download or read book Mathematical Geography written by Willis Ernest Johnson and published by . This book was released on 1907 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Download or read book World Maps for Finding the Direction and Distance of Mecca written by David A. King and published by BRILL. This book was released on 1999-01-01 with total page 736 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author describes how Muslims over the centuries have determined the sacred direction ("qibla") towards Mecca and presents two highly sophisticated Mecca-centred world-maps for finding the "qibla." These recently-discovered world-maps have forced a reevaluation of Muslim achievements in mathematics and cartography.
Download or read book Mathematical Geography and Cartography in Islam and Their Continuation in the Occident written by Fuat Sezgin and published by . This book was released on 2000 with total page 710 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Ptolemy s Geography written by Ptolemy and published by Princeton University Press. This book was released on 2020-06-16 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ptolemy's Geography is the only book on cartography to have survived from the classical period and one of the most influential scientific works of all time. Written in the second century AD, for more than fifteen centuries it was the most detailed topography of Europe and Asia available and the best reference on how to gather data and draw maps. Ptolemy championed the use of astronomical observation and applied mathematics in determining geographical locations. But more importantly, he introduced the practice of writing down coordinates of latitude and longitude for every feature drawn on a world map, so that someone else possessing only the text of the Geography could reproduce Ptolemy's map at any time, in whole or in part, at any scale. Here Berggren and Jones render an exemplary translation of the Geography and provide a thorough introduction, which treats the historical and technical background of Ptolemy's work, the contents of the Geography, and the later history of the work.
Download or read book Mathematical Geography and Cartography in Islam and Their Continuation in the Occident Mathematical geography and cartography in Islam and their continuation in the Occident pt 2 Historical presentation v 3 Volume of maps written by Fuat Sezgin and published by . This book was released on 2000 with total page 710 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 Mathematical Geography in the Eighteenth Century Euler Lagrange and Lambert written by Renzo Caddeo and published by Springer Nature. This book was released on 2022-10-31 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the beautiful memoirs of Euler, Lagrange and Lambert on geography, translated into English and put into perspective through explanatory and historical essays as well as commentaries and mathematical notes. These works had a major impact on the development of the differential geometry of surfaces and they deserve to be studied, not only as historical documents, but most of all as a rich source of ideas.
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.
Download or read book Astronomical or mathematical geography written by Emil Reich and published by . This book was released on 1908 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Morphology in Geomorphology and GISci written by Behara Seshadri Daya Sagar and published by CRC Press. This book was released on 2016-04-19 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Morphology in Geomorphology and GISci presents a multitude of mathematical morphological approaches for processing and analyzing digital images in quantitative geomorphology and geographic information science (GISci). Covering many interdisciplinary applications, the book explains how to use mathematical morphology not only to perform
Download or read book Basic Principles of Topography written by Blagoja Markoski and published by Springer. This book was released on 2018-01-18 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a comprehensive overview of all relevant elements in topography and their practical application. It elaborates on the classical representation of terrain on maps such as cartographic projections, together with their classification, scale, and geographical elements. It is richly illustrated with photographs, maps and figures, in which the theoretical explanations are clarified. Readers will become acquainted with the physical characteristics of the ground, i.e. tectonic and erosive shapes, the importance and classification of terrain, genetic (fluvial, abrasive, glacial, karst) and topographic types such as higher (mountains, hills, peaks) and lower terrain (valleys, fields). In addition, the book discusses cartometry and coordinate systems, orientation in space (geographic, topographic, tactical) including by means of maps, instruments and the night sky and elaborates new techniques and technologies such as aerial photogrammetric imagery, global navigation satellite systems and LiDAR. The book also includes methods for the practical execution of concrete measurement operations, such as determining position and movement on land with maps, compass and azimuth which makes it especially useful for practitioners and professionals, e.g., for landscape planning, military exercises, mountaineering, nature walks etc. As such it offers a valuable guide not only for undergraduate students but also for researchers in the fields of geography, geosciences, geodesy, ecology, forestry and related areas looking for an overview on topography. Uniquely, the book also features an extensive glossary of topographical terms.
Download or read book Time and Time Again written by Richard de Grijs and published by . This book was released on 2018-01-17 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Determination of one's longitude at sea has perplexed sailors for many centuries. The significant uptake of world trade in the 17th and 18th Centuries rendered the increasingly urgent need to solve the 'longitude problem' an issue of strategic national importance. Historical accounts of these efforts often focus almost exclusively on John Harrison's role in 18th Century Britain. This book starts instead from Galileo Galilei's late16th Century development of an accurate pendulum clock, which was first achieved in practice in the mid17th Century by Christiaan Huygens in the Dutch Republic. It is primarily based on collections of letters that have not been combined into a single volume before. Extensive introductory chapters on the history of mapmaking, the establishment of the world's reference meridian at Greenwich Observatory, and the rise of the scientific enterprise provide the appropriate context for nonexpert readers to fully engage with the book's main subject matter.
Download or read book Geography in Classical Antiquity written by Daniela Dueck and published by Cambridge University Press. This book was released on 2012-04-26 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the earliest ideas of geography in antiquity and how much knowledge there was of the physical world.
Download or read book Geography of Claudius Ptolemy written by Claudius Ptolemy and published by Cosimo Classics. This book was released on 2011 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geography of Claudius Ptolemy, originally titled Geographia and written in the second century, is a depiction of the geography of the Roman Empire at the time. Though inaccurate due to Ptolemy's varying methods of measurement and use of outdated data, Geography of Claudius Ptolemy is nonetheless an excellent example of ancient geographical study and scientific method. This edition contains more than 40 maps and illustrations, reproduced based on Ptolemy's original manuscript. It remains a fascinating read for students of scientific history and Greek influence. CLAUDIUS PTOLEMY (A.D. 90- A.D. 168) was a poet, mathematician, astronomer, astrologer, and geographer who wrote in Greek, though he was a Roman citizen. He is most well-known for three scientific treatises he wrote on astronomy, astrology, and geography, respectively titled Almagest, Apotelesmatika, and Geographia. His work influenced early Islamic and European studies, which in turn influenced much of the modern world. Ptolemy died in Alexandria as a member of Greek society.
