Exploring Discrete Geometry
Seiten
2024
American Mathematical Society (Verlag)
978-1-4704-7807-0 (ISBN)
American Mathematical Society (Verlag)
978-1-4704-7807-0 (ISBN)
Explore discrete geometry by starting with familiar challenges like polygon triangulations and art gallery problems, then venturing into variants that encourage rethinking established answers. Vivid illustrations and intuitive reasoning fuse high school algebra and geometry into an engaging journey.
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.
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.
Thomas Q. Sibley, St. John's University, Collegeville, MN.
Beginning explorations
First variations
Further variations
Final explorations and connections
Answers to exercises
| Erscheinungsdatum | 22.08.2024 |
|---|---|
| Reihe/Serie | Anneli Lax New Mathematical Library |
| Verlagsort | Providence |
| Sprache | englisch |
| Maße | 152 x 229 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
| Mathematik / Informatik ► Mathematik ► Graphentheorie | |
| ISBN-10 | 1-4704-7807-2 / 1470478072 |
| ISBN-13 | 978-1-4704-7807-0 / 9781470478070 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
| Haben Sie eine Frage zum Produkt? |
Mehr entdecken
aus dem Bereich
aus dem Bereich
Gekrümmte Kurven und Flächen
Buch | Softcover (2024)
De Gruyter (Verlag)
CHF 76,90
a history of modern trigonometry
Buch | Softcover (2025)
Princeton University Press (Verlag)
CHF 34,90
