Introduction To Mathematical Techniques Used In Gis
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Introduction to Mathematical Techniques Used in GIS
GIS technology and applications have advanced as fast as computing technology to enhance business analytics, predictive modeling, virtual reality, and artificial intelligence. The third edition addresses these new topics of interest to students and practitioners who are using geographic information systems but have a limited mathematical background. Thoroughly updated and reorganized to focus more on applications and problem solving by mathematical techniques, this book explains the basic architecture of computing as it relates to GIS, includes new application examples of selected mathematical methods, and introduces 3D modeling, machine learning, and more. Features Explains the basic mathematics that underpins the manipulation of spatially related data and adds new technology direction such as machine learning. Builds logically step-by-step from simple basic assumptions to real world GIS applications to illustrate mathematical techniques covered in each chapter. Explains computing fundamentals including databases, and modeling techniques such as network modeling and topology overlay. Includes two new chapters focused on how computing relates to mathematics, and new popular applications of GIS which connect with data science and artificial intelligence. Prepares today’s GIS students who do not have STEM backgrounds to follow the thought processes behind the practice of GIS. This textbook is written for those who use global information systems and applications but have a limited mathematical background. It explains the mathematics behind the applications, making it an accessible book for both undergraduate and graduate students in GIS, Computer Science, Geography, and Geomatics.
Introduction to Mathematical Techniques used in GIS
To understand the output from a geographic information system, one must understand the quality of the data that is entered into the system, the algorithms driving the data processing, and the limitations of the graphic displays. Introduction to Mathematical Techniques Used in GIS explains to nonmathematicians the fundamentals that support the manipulation and display of geographic information. It focuses on basic mathematical techniques, building upon a series of steps that enable a deeper understanding of the complex forms of manipulation that arise in the handling of spatially related data. The book moves rapidly through a wide range of data transformations, outlining the techniques involved. Many are precise, building logically on underlying assumptions. Others are based upon statistical analysis and the pursuit of the optimum rather than the perfect and definite solution. By understanding the mathematics behind the gathering, processing, and display of information, GIS professionals can advise others on the integrity of results, the quality of the information, and the safety of using it.
Mathematical Techniques in GIS, Second Edition
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.