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# Summary.of.Mathematical.Concepts

DOI link for Summary.of.Mathematical.Concepts

Summary.of.Mathematical.Concepts book

# Summary.of.Mathematical.Concepts

DOI link for Summary.of.Mathematical.Concepts

Summary.of.Mathematical.Concepts book

## ABSTRACT

The term “mathematics” is difficult to define, in part because it includes so many concepts. Even so, the primary goal of this book is to organize mathematical concepts and geometrical relationships for the convenience of spatial data users. The approach is to start with simple, well-defined ideas and add understandable pieces as needed to develop tools for handling spatial data more efficiently. Mathematics has been concisely defined as the study of quantities and relationships through the use of numbers and symbols. The terms “quantities” and “relationships” may be somewhat abstract, but their meaning should become clearer with use. “Numbers” includes the set of all real values from negative infinity to positive infinity, and “symbols” includes letters of the alphabet (English, Greek, or otherwise) used to represent numerical values. Symbols also include other markings to indicate mathematical operations such as addition, subtraction, multiplication, division, and square roots. As illustrated by the definition and the two following examples, the goals of presenting simple welldefined concepts and keeping a focus on practical applications for spatial data will not be easy to achieve. Understandably, some readers will be distracted by temptations to pursue peripheral interests. Although that is acceptable and encouraged, space and print limitations do not permit joint excursions. The reader is always welcome back.