Overview

This book has been written for non-mathematicians who need to understand some of the assumptions that underlie the manipulation and display of geographic information. It assumes very little basic knowledge of mathematics but moves rapidly through a wide range of data transformations, outlining the techniques involved. Many of these are precise, building logically from certain underlying assumptions; others are based on statistical analysis and the pursuit of the optimum rather than the perfect, definite solution. Introduction to Mathematical Techniques Used in GIS lays a strong foundation for the more complex forms of manipulation that arise in the handling of spatially-related data.

Full Product Details

Author:   Peter Dale (Consultant, South Ayrshire, Scotland, UK)
Publisher:   Taylor & Francis Ltd
Imprint:   CRC Press
Dimensions:   Width: 15.60cm , Height: 1.80cm , Length: 23.50cm
Weight:   0.476kg
ISBN:  

9780415334143

ISBN 10:   0415334144
Pages:   220
Publication Date:   14 October 2004
Audience:   College/higher education ,  Undergraduate ,  Tertiary & Higher Education
Replaced By:   9781466595545
Format:   Hardback
Publisher's Status:   Out of Print
Availability:   Out of stock  

Table of Contents

CHARACTERISTICS OF GEOGRAPHIC INFORMATION Geographic Information and Data Categories of Data Spatial Referencing Lines and Shapes NUMBERS AND NUMERICAL ANALYSIS The Rules of Arithmetic The Binary System Square Roots Indices and Logarithms ALGEBRA-TREATING NUMBERS AS SYMBOLS The Theorem of Pythagoras The Equations for Intersecting Lines Points in Polygons The Equation for a Plane Further Algebraic Equations Functions and Graphs Interpolating Intermediate Values THE GEOMETRY OF COMMON SHAPES Triangles and Circles Areas of Triangles Centres of a Triangle Polygons The Sphere and the Ellipse Sections of a Cone PLANE AND SPHERICAL TRIGONOMETRY Basic Trigonometric Functions Obtuse Angles Combined Angles Bearings and Distances Angles on a Sphere DIFFERENTIAL AND INTEGRAL CALCULUS The Basis of Differentiation Differentiating Trigonometric Functions Polynomial Functions Basic Integration Areas and Volumes MATRICES, DETERMINANTS AND VECTORS Basic Matrix Operations Determinants Related Matrices Applying Matrices Rotations and Translations Simplifying Matrices Vectors CURVES AND SURFACES Parametric Forms The Ellipse The Radius of Curvature Fitting Curves to Points The Bezier Curve TRANSFORMATIONS Homogeneous Coordinates Rotating an Object Hidden Lines and Surfaces Map Projections Cylindrical Projections Azimuthal Projections Conical Projections BASIC STATISTICS Probabilities Measures of Central Tendency The Normal Distribution Levels of Significance The t-Test Analysis of Variance The Chi-Squared Test The Poisson Distribution BEST-FIT SOLUTIONS Correlation Regression Weights Linearization Least Square Solutions

Reviews

This book provides a good introduction to basic and fundamental mathematics normally assumed in GIS operations and the analysis of the resultsthe presentation is clear and easy to follow with numerous numerical examples. The key material is often summarized in boxes for use independently of a continuous reading of the textthis small book can be very useful as a text or reference in continuing education, especially for non-technical personnel. For self-study, problems and exercises from other references can be used to supplement this text. -Geomatica, Vol. 59. No. 2, 2005

"""This book provides a good introduction to basic and fundamental mathematics normally assumed in GIS operations and the analysis of the resultsthe presentation is clear and easy to follow with numerous numerical examples. The key material is often summarized in boxes for use independently of a continuous reading of the textthis small book can be very useful as a text or reference in continuing education, especially for non-technical personnel. For self-study, problems and exercises from other references can be used to supplement this text."" -Geomatica, Vol. 59. No. 2, 2005"

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