Spatial Mathematics: Theory and Practice through Mapping

Spatial Mathematics: Theory and Practice through Mapping

By: Joseph J. Kerski (author), Sandra Lach Arlinghaus (author)Hardback

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Description

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.

Contents

Geometry of the Sphere Introduction Theory: Earth Coordinate Systems Theory: Earth's Seasons-A Visual Display Theory: Precision of Latitude and Longitude Values Other Earth Models Practice Using Selected Concepts from This Chapter Related Theory and Practice: Access through QR Codes Location, Trigonometry, and Measurement of the Sphere Introduction: Relative and Absolute Location Location and Measurement: From Antiquity to Today Practice: Measuring the Circumference of the Earth Using GPS Measuring Positions on the Earth Surface, and Fractions Other Common Coordinate Systems Practice: Coordinates Using Different Systems Theory: Visual Trigonometry Review Practice: Find the Length of One Degree on the Earth-Sphere Practice: Determine Sun Angles at Different Seasons of the Year Practice: Work with Measurement, the Graticule, and Map Projections Summary and Looking Ahead Related Theory and Practice: Access through QR Codes Transformations: Analysis and Raster/Vector Formats Transformations Partition: Point-Line-Area Transformations Set Theory Raster and Vector Mapping: Know Your File Formats Practice Using Selected Concepts from this Chapter Related Theory and Practice: Access through QR Codes Replication of Results: Color and Number Introduction Background-Color Color Straws and Color Voxels Color Ramps: Alternate Metrics Algebraic Aspects of Ratios Pixel Algebra Preservation of the Aspect Ratio Image Security Theory Finale Practice Using Selected Concepts from This Chapter Related Theory and Practice: Access through QR Codes Scale Introduction Scale Change The Dot Density Map: Theory and Example Practice Using Selected Concepts from This Chapter Related Theory and Practice: Access through QR Codes Partitioning of Data: Classification and Analysis Introduction The Choice of Data Ranges Normalizing Data Inside, Outside, Wrong Side Around Making Something From Nothing? Practice Using Selected Concepts from This Chapter Related Theory and Practice: Access through QR Codes Visualizing Hierarchies Introduction Hierarchies: Census Data Thinking Outside the Pixel Practice Using Selected Concepts from This Chapter Related Theory and practice: Access through QR Codes Distribution of Data: Selected Concepts Introduction Ann Arbor, Michigan-Tornado Siren Infill Project Educational and Marketing Efforts to the Public Examining the Distribution of Tornado Data Activity: Examining the Distribution of Tornado Data Mean Center and Standard Deviational Ellipse Activities Using Mean Center and Standard Deviational Ellipse Related Theory and Practice: Access through QR Codes Appendix of Media Commentary Map Projections Introduction In the news Looking at Maps and Their Underlying Projections Sampling Projection Distortion Some Projection Characteristics Pseudo or Miscellaneous Projections Contemporary Approach: Web Mercator Auxiliary Sphere Projection Sampling the Environment: The Degree Confluence Project Practice Using Selected Concepts from This Chapter Around the Theoretical Corner? Exercises Related Theory and Practice: Access through QR Codes Integrating Past, Present, and Future Approaches Introduction From the Classics to the Modern: Past and Present A Non-Euclidean Future? Practice Using Selected Concepts from the Chapter Graph Theory and Topology: Discrete and Continuous Spatial Mathematics Putting It All Together: Theory Related Theory and Practice: Access through QR Codes Glossary References, Further Reading, and Related Materials

Product Details

  • ISBN13: 9781466505322
  • Format: Hardback
  • Number Of Pages: 300
  • ID: 9781466505322
  • weight: 567
  • ISBN10: 146650532X

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