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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.
- Sales Rank: #3346342 in eBooks
- Published on: 2013-06-26
- Released on: 2013-06-26
- Format: Kindle eBook
Review
"…this book does not contain any equations or math, as one would expect from the title… As such, this book will be of use to those who want to start out with an effort to learn GIS, without having to struggle through the actual mathematics behind it all."
―Harold Schuch, GeoCounsel, Inc., Littleton, Colorado, USA
"this colourful book should be useful for complementing technical geography lectures using Google Earth and Esri’s software explorations in view of attracting high-school and general science students to spatial geography and computer mapping."
―Rod Blais, GEOMATICA, Vol. 67, No. 4, 2013
"In this important work, Drs. Arlinghaus and Kerski fill an important need in the geospatial literature with their accessible introduction to spatial mathematics. … this book frames concepts in a way that is accessible to new learners who may not have an advanced math background. This accessibility should not be confused with simplicity, however. In successive chapters, the authors build an intellectually challenging description of the math underlying geospatial analysis. Throughout, easy-to-follow activities help make the concepts clear and relevant. If we are to build a generation of spatial thinkers (and not just people trained in GIS and GPS), we need foundational understanding like this book supports. Highly recommended!"
―Bob Coulter, Missouri Botanical Garden
"Two ancient texts had a profound and lasting impact on the literate world. … Now, in this book, additional insight for the mathematical solution of geographical tasks is provided. The pedagogical orientation is especially worthy of comment."
―Waldo Tobler, Professor Emeritus of Geography, University of California at Santa Barbara
"If a picture is worth a thousand words, then a map is worth exponentially more. Underneath the colors of a modern electronic map is an enormous amount of math and science, from how to represent a three dimensional globe on a two dimensional surface to how to produce and represent color itself in a way to communicate meaning and make sense of complex data. This book is both all about the map and all about the math behind the map, using what has become ubiquitous on our smart phones and in our vehicles as a vehicle itself to teach complex math concepts in accessible ways. The book’s use of modern, socially pressing issues as the basis of understanding spatial math further augments its goal to make complex concepts accessible, meaningful, and useful for students."
―Marc Schlossberg, Professor of Planning, Public Policy & Management, University of Oregon
"Teaching mathematics can be tough but here is a book that is a gentle introduction to the mathematics of the spatial world through the medium of mapping. The use of QR codes to access additional map-based material is clever and innovative, and provides a nice link to the very technologies that this mathematics supports."
―Michael Batty, University College London
"An excellent textbook mainstreaming geoinformation perspectives through mathematical education, Spatial Mathematics has a clearly developed theoretical approach with great exercises and practical hands-on activities."
―Karl Donert, President, European Association of Geographers (EUROGEO)
"… timely and welcome. The wealth of practical examples and the enthusiasm of its authors will fill an important niche in a mapping literature that often underplays the importance and relevance of mathematics. … particularly refreshing to see the book begin with the mathematics of the Earth’s curved surface, and deal only later with the complexities of flattening the Earth through the use of map projections. … Google Earth did much to restructure our view of the Earth when it was released in 2005; this book will without doubt make another step in that direction."
―Michael F. Goodchild, University of California, Santa Barbara
"… sets the standard for explaining the relationship between mathematics, geography, and GIS technologies. … A benchmark book for interdisciplinary teaching and learning."
―Mark C. Hogrebe, Washington University in St. Louis
"… this book is worth reading by anyone interested in overlaps of geography and mathematics. It contributes to the progress of quantitative geography and GIScience by melding together appropriate topics from geography and mathematics that focus on cartographic themes. … It succeeds in using the visualization capabilities of a GIS to motivate readers to familiarize themselves with and explore formal mathematical subject matter that interfaces with geography."
―The AAG Review OF BOOKS
Most helpful customer reviews
4 of 4 people found the following review helpful.
More mappers need maths!
By Kenneth Field
Not enough people appreciate the mathematical basis of so much of the world of mapping yet all maps are ultimately built out of numbers. Building an appreciation of the mathematics of mapping is a tough sell in this age of click and share but if the authors can encourage a few more to `think' about what it is they are doing and the consequences of their spatial mathematical choices then the quality of mapping will undoubtedly benefit. This is a welcome text and I'd encourage anyone who is serious about making maps to explore its contents and learn a little of why knowing some fundamentals is crucial to communicating your work. Making sensible choices over projections, classifying data and analyses are important. If you know what you're doing then you're a good way down the path to making a great map. If you don't, you're likely make some major mistakes. Take the time to appreciate the maths behind your map...this book will go a long way to helping you!
0 of 0 people found the following review helpful.
This book was a waste of my money and time
By Mr. Whysir
The book does only a standard rudimentary job of covering basic intro-level topics. The QR codes are a gimmick that proves cumbersome and ineffective for this type of application. If I am buying a book, I want the book itself to contain the information I am buying; I don't want the book to just be a collection of links to publicly available Internet resources that a book isn't needed as a portal to reach. Furthermore, the QR codes in the book are to be read using a mobile device, but many (most) of those links go to Internet resources that are not suitable for viewing and interaction with mobile devices. Plus, many of the pages were out-of-date or dead links, so instead of just working badly, there was some QR content that didn't work at all. This book was a waste of my money and time. I bought this book with a stipend for a GIS lecture that I gave to college students; the lesson I learned for this price was to never buy a book that uses QR codes ever again.
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