Mathematical Techniques in GIS

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

"The insight provided by this book is extremely valuable. It represents a significant effort to explain - in an interesting and pedagogical way - the basic mathematical techniques and principles underpinning the manipulation of geographical data. Modern technologies have made the "where" highly important, and computers and mobile devices provide all kind of sophisticated solutions to dealing with this issue. However, it is worth remembering that eventually only good data and good processing will provide reliable information. The mathematics behind this processing thereby becomes essential. This book enables an easy access to the rules and manipulations applied behind the scene. This book is needed."––Stig Enemark, professor of land management, Department of Development and Planning, Aalborg University, Denmark"… an excellent introduction to the mathematics behind these complexities. By having some understanding of the technology behind GIS users are better able to ensure the data and results from GIS are "fit for purpose" and can be safely used. … I enthusiastically encourage GIS users to read this book."—Ian P. Williamson, Emeritus Professor, The University of Melbourne"Professor Peter Dale is one of the great pioneers of the GIS and geomatics fields, having made seminal contributions to the development and application of the technology in support of natural resource management and land administration. His writing is richly informed by both a deep intellect and a wealth of experience."—John McLaughlin, President Emeritus, University of New Brunswick"…this text is an effective tool for teaching fundamental quantitative methods to its intended audience." —Photogrammetric Engineering & Remote Sensing, November 2016

• Characteristics of Geographic Information. Numbers and Numerical Analysis. Algebra - Treating Numbers as Symbols. The Geometry of Common Shapes. Plane and Spherical Trigonometry. Differential and Integral Calculus. Matrices and Determinants. Vectors. Curves and Surfaces. Transformations. Map Projections. Basic Statistics. Correlation and Regression. Best-fit Solutions.