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Exploring Discrete Geometry
Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Anneli Lax New Mathematical Library ; v.56Publisher: Providence : American Mathematical Society, 2024Description: 1 Online-Ressource (170 p.)ISBN:- 1470478080
- 9781470478087
- 516/.11
- QA640.7
Contents:
Summary: 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 dPPN: PPN: 1907954651Package identifier: Produktsigel: ZDB-4-NLEBK | BSZ-4-NLEBK-KAUB
Cover -- Half-title page -- Title page -- Copyright -- Dedication -- Contents -- Introduction -- Acknowledgments -- Chapter 1. Beginning Explorations -- 1.1. Lines and Regions -- 1.2. Diagonals and Triangulations -- 1.3. Distances and Points -- 1.4. The Art Gallery Problem -- 1.5. Geometric Patterns -- 1.6. Voronoi Diagrams -- Appendix. What Is a Polygon? -- Chapter 2. First Variations -- 2.1. Lines and Regions -- 2.2. Diagonals and Triangulations -- 2.3. Distances and Points -- 2.4. The Art Gallery Problem -- 2.5. Geometric Patterns -- 2.6. Voronoi Diagrams -- Chapter 3. Further Variations
3.1. Lines and Regions -- 3.2. Diagonals and Triangulations -- 3.3. Distances and Points -- 3.4. The Art Gallery Problem -- 3.5. Geometric Patterns -- 3.6. Voronoi Diagrams -- Chapter 4. Final Explorations and Connections -- 4.1. Lines and Regions -- 4.2. Diagonals and Triangulations -- 4.3. Distances and Points -- 4.4. Art Gallery Problems -- 4.5. Geometric Patterns -- 4.6. Voronoi Diagrams -- Answers to Exercises -- Suggested Reading -- Bibliography -- Index -- Terms -- People -- Back Cover
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