Exploring Discrete Geometry

Exploring Discrete Geometry (Anneli Lax New Mathematical Library)

Exploring Discrete Geometry (Anneli Lax New Mathematical Library)

Author: Thomas Q. Sibley (Author)

Publisher finelybook 出版社:‏ ‎‎ American Mathematical Society

Edition 版本:‏ ‎ N/A

Publication Date 出版日期:‏ ‎ 2024-07-22

Language 语言: ‎ English

Print Length 页数: ‎ 156 pages

ISBN-10: ‎ 1470478072

ISBN-13: ‎ 9781470478070

Book Description

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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