Spatial Mathematics: Theory and Practice Through Mapping (Hardcover)

Geometry of the SphereIntroductionTheory: Earth Coordinate SystemsTheory: Earth’s Seasons?A Visual DisplayTheory: Precision of Latitude and Longitude ValuesOther Earth ModelsPractice Using Selected Concepts from This ChapterRelated Theory and Practice: Access through QR CodesLocation, Trigonometry, and Measurement of the SphereIntroduction: Relative and Absolute LocationLocation and Measurement: From Antiquity to TodayPractice: Measuring the Circumference of the Earth Using GPSMeasuring Positions on the Earth Surface, and FractionsOther Common Coordinate SystemsPractice: Coordinates Using Different SystemsTheory: Visual Trigonometry ReviewPractice: Find the Length of One Degree on the Earth-SpherePractice: Determine Sun Angles at Different Seasons of the YearPractice: Work with Measurement, the Graticule, and Map ProjectionsSummary and Looking AheadRelated Theory and Practice: Access through QR CodesTransformations: Analysis and Raster/Vector FormatsTransformationsPartition: Point-Line-Area TransformationsSet TheoryRaster and Vector Mapping: Know Your File FormatsPractice Using Selected Concepts from this ChapterRelated Theory and Practice: Access through QR CodesReplication of Results: Color and NumberIntroductionBackground?ColorColor Straws and Color VoxelsColor Ramps: Alternate MetricsAlgebraic Aspects of RatiosPixel AlgebraPreservation of the Aspect RatioImage SecurityTheory FinalePractice Using Selected Concepts from This ChapterRelated Theory and Practice: Access through QR CodesScaleIntroductionScale ChangeThe Dot Density Map: Theory and ExamplePractice Using Selected Concepts from This ChapterRelated Theory and Practice: Access through QR CodesPartitioning of Data: Classification and AnalysisIntroductionThe Choice of Data RangesNormalizing DataInside, Outside, Wrong Side AroundMaking Something From Nothing?Practice Using Selected Concepts from This ChapterRelated Theory and Practice: Access through QR CodesVisualizing HierarchiesIntroductionHierarchies: Census DataThinking Outside the PixelPractice Using Selected Concepts from This ChapterRelated Theory and practice: Access through QR CodesDistribution of Data: Selected ConceptsIntroductionAnn Arbor, Michigan?Tornado Siren Infill ProjectEducational and Marketing Efforts to the PublicExamining the Distribution of Tornado DataActivity: Examining the Distribution of Tornado DataMean Center and Standard Deviational EllipseActivities Using Mean Center and Standard Deviational EllipseRelated Theory and Practice: Access through QR CodesAppendix of Media CommentaryMap ProjectionsIntroductionIn the newsLooking at Maps and Their Underlying ProjectionsSampling Projection DistortionSome Projection CharacteristicsPseudo or Miscellaneous ProjectionsContemporary Approach: Web Mercator Auxiliary Sphere ProjectionSampling the Environment: The Degree Confluence ProjectPractice Using Selected Concepts from This ChapterAround the Theoretical Corner?ExercisesRelated Theory and Practice: Access through QR CodesIntegrating Past, Present, and Future ApproachesIntroductionFrom the Classics to the Modern: Past and PresentA Non-Euclidean Future?Practice Using Selected Concepts from the ChapterGraph Theory and Topology: Discrete and Continuous Spatial MathematicsPutting It All Together: TheoryRelated Theory and Practice: Access through QR CodesGlossaryReferences, Further Reading, and Related Materials