Together with its clear mathematical exposition, the problems in this book take the reader from an introduction to discrete geometry all the way to its frontiers. Investigations start with easily drawn figures, such as dividing a polygon into triangles or finding the minimum number of ""guards"" for a polygon (""art gallery"" problem). These early explorations build intuition and set the stage. Variations on the initial problems stretch this intuition in new directions. These variations on problems together with growing intuition and understanding illustrate the theme of this book: ""When you have answered the question, it is time to question the answer."" Numerous drawings, informal explanations, and careful reasoning build on high school algebra and geometry.

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Bibliographic Details

Title: Exploring Discrete Geometry
Publisher: American Mathematical Society, US
Publication Date: 2024
Language: English
ISBN 10: 1470478072
ISBN 13: 9781470478070
Binding: Paperback
Condition: New

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Together with its clear mathematical exposition, the problems in this book take the reader from an introduction to discrete geometry all the way to its frontiers. Investigations start with easily drawn figures, such as dividing a polygon into triangles or finding the minimum number of “guards” for a polygon (“art gallery” problem). These early explorations build intuition and set the stage. Variations on the initial problems stretch this intuition in new directions. These variations on problems together with growing intuition and understanding illustrate the theme of this book: “When you have answered the question, it is time to question the answer.” Numerous drawings, informal explanations, and careful reasoning build on high school algebra and geometry.

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