Mathematical Techniques in GIS

NOTE EDITORE

The second edition of a bestseller, Mathematical Techniques in GIS demystifies the mathematics used in the manipulation of spatially related data. The author takes a step-by-step approach through the basics of arithmetic, algebra, geometry, trigonometry and calculus that underpin the management of such data. He then explores the use of matrices, determinants and vectors in the handling of geographic information so that the data may be analyzed and displayed in two-dimensional form either in the visualization of the terrain or as map projections. See What’s New in the Second Edition: Summaries at the end of each chapter Worked examples of techniques described Additional material on matrices and vectors Further material on map projections New material on spatial correlation A new section on global positioning systems Written for those who need to make use geographic information systems but have a limited mathematical background, this book introduces the basic statistical techniques commonly used in geographic information systems and explains best-fit solutions and the mathematics behind satellite positioning. By understanding the mathematics behind the gathering, processing, and display of information, you can better advise others on the integrity of results, the quality of the information, and the safety of using it.

SOMMARIO

Characteristics of Geographic InformationGeographic Information and DataCategories of DataSummaryNumbers and Numerical AnalysisThe Rules of ArithmeticThe Binary SystemSquare RootsIndices and LogarithmsSummaryAlgebra: Treating Numbers as SymbolsThe Theorem of PythagorasThe Equations for Intersecting LinesPoints in PolygonsThe Equation for a PlaneFurther Algebraic EquationsFunctions and GraphsInterpolating Intermediate ValuesSummaryThe Geometry of Common ShapesTriangles and CirclesAreas of TrianglesCenters of a TrianglePolygonsThe Sphere and the EllipseSections of a ConeSummaryPlane and Spherical TrigonometryBasic Trigonometric FunctionsObtuse AnglesCombined AnglesBearings and DistancesAngles on a SphereSummaryDifferential and Integral CalculusDifferentiationDifferentiating Trigonometric FunctionsPolynomial FunctionsLinearizationBasic IntegrationAreas and VolumesSummaryMatrices and DeterminantsBasic Matrix OperationsDeterminantsRelated MatricesApplying MatricesRotations and TranslationsSimplifying MatricesSummaryVectorsThe Nature of VectorsDot and Cross ProductsVectors and PlanesAngles of IncidenceVectors and RotationsSummaryCurves and SurfacesParametric FormsThe EllipseThe Radius of CurvatureFitting Curves to PointsThe Bezier CurveB-SplinesSummary2D/3D TransformationsHomogeneous CoordinatesRotating an ObjectHidden Lines and SurfacesPhotogrammetric MeasurementsSummaryMap ProjectionsMap ProjectionsCylindrical ProjectionsAzimuthal ProjectionsConical ProjectionsSummaryBasic StatisticsProbabilitiesMeasures of Central TendencyThe Normal DistributionLevels of SignificanceThe T-TestAnalysis of VarianceThe Chi-Squared TestThe Poisson DistributionSummaryCorrelation and RegressionCorrelationRegressionWeightsSpatial AutocorrelationSummaryBest-Fit SolutionsLeast Square SolutionsSurvey AdjustmentsSatellite Position FixingSummaryFurther ReadingIndex

AUTORE

Peter Dale is a professor in land information management at the University College London.

ALTRE INFORMAZIONI

• Condizione: Nuovo
• ISBN: 9781466595545
• Dimensioni: 9.25 x 6.25 in Ø 1.44 lb
• Formato: Copertina rigida
• Illustration Notes: 142 b/w images, 20 tables and approx 148 equations
• Pagine Arabe: 359