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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.
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.
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
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.
Dive into the fascinating realm where mathematics intersects with the Earth's geography with "Mathematical Geography" by Willis E. Johnson. Prepare to embark on a journey of discovery through the intricate web of mathematical principles that govern our planet's physical features and spatial relationships. Join Johnson as he unveils the hidden beauty and complexity of the Earth's geography, using mathematical tools to unlock its secrets. Through meticulous research and clear explanations, Johnson guides readers through a wide range of topics, from cartography and navigation to the study of landforms and climate patterns. Themes of precision, abstraction, and interconnectedness permeate "Mathematical Geography," inviting readers to explore the elegant mathematical principles that underpin our understanding of the natural world. Johnson's engaging narrative style and accessible explanations make even the most complex concepts accessible to readers of all backgrounds. Through detailed diagrams, charts, and maps, Johnson brings the principles of mathematical geography to life, offering readers a visual understanding of the concepts discussed. His approachable writing style and clear explanations ensure that readers can follow along and grasp the intricacies of each topic with ease. The overall tone of "Mathematical Geography" is one of intellectual curiosity and exploration, as Johnson invites readers to join him on a journey of discovery through the fascinating world of mathematical geography. His enthusiasm for the subject shines through on every page, inspiring readers to delve deeper into the mysteries of our planet's geography. Since its publication, "Mathematical Geography" has been celebrated as a comprehensive and authoritative guide to the mathematical principles underlying the study of geography. Johnson's book continues to be a valuable resource for students, educators, and anyone with an interest in the intersection of mathematics and geography. As you delve into the pages of "Mathematical Geography," you'll find yourself captivated by the beauty and complexity of the Earth's geography, illuminated through the lens of mathematics. Johnson's book offers a rich and rewarding exploration of the principles that shape our planet's physical landscape and spatial relationships. In conclusion, "Mathematical Geography" is more than just a textbook—it's a gateway to a deeper understanding of the natural world and the mathematical principles that govern it. Whether you're a student, a scholar, or simply a curious reader, Johnson's book offers a fascinating journey through the intersection of mathematics and geography. Don't miss your chance to explore the intricate beauty of the Earth's geography through the lens of mathematics with "Mathematical Geography" by Willis E. Johnson. Let this captivating book be your guide to a deeper understanding of the world around us. Secure your copy now and embark on a journey of discovery through the fascinating realm of mathematical geography.
Numerical data are everywhere. Charts and statistics appear not just in geography journals but also in the media, in public policy, and in business and commerce too. To engage with quantitative geography, we must engage with the quantitative methods used to collect, analyse, present and interpret these data. Quantitative Geography: The Basics is the perfect introduction for undergraduates beginning any quantitative methods course. Written in short, user-friendly chapters with full-colour diagrams, the book guides the reader through a wide range of topics from the basic to the more advanced, including: Statistics Maths Graphics Models Mapping and GIS R Closely aligned with the Q-Step quantitative social science programme, Quantitative Geography: The Basics is the ideal starting point for understanding and exploring this fundamental area of Geography.
This is the first modern edition and first English translation of one of the earliest and most important works in the history of geography, the third-century Geographika of Eratosthenes. In this work, which for the first time described the geography of the entire inhabited world as it was then known, Eratosthenes of Kyrene (ca. 285-205 BC) invented the discipline of geography as we understand it. A polymath who served as librarian at Alexandria and tutor to the future King Ptolemy IV, Eratosthenes created the terminology of geography, probably including the word geographia itself. Building on his previous work, in which he determined the size and shape of the earth, Eratosthenes in the Geographika created a grid of parallels and meridians that linked together every place in the world: for the first time one could figure out the relationship and distance between remote localities, such as northwest Africa and the Caspian Sea. The Geographika also identified some four hundred places, more than ever before, from Thoule (probably Iceland) to Taprobane (Sri Lanka), and from well down the coast of Africa to Central Asia. This is the first collation of the more than 150 fragments of the Geographika in more than a century. Each fragment is accompanied by an English translation, a summary, and commentary. Duane W. Roller provides a rich background, including a history of the text and its reception, a biography of Eratosthenes, and a comprehensive account of ancient Greek geographical thought and of Eratosthenes' pioneering contribution to it. This edition also includes maps that show all of the known places named in the Geographika, appendixes, a bibliography, and indexes.