Résumé
Since antiquity, the Golden Section has played a significant role in many parts of geometry, architecture, music, art, and philosophy. But it also appears in the newer domains of technology and fractals. In this way, the Golden Section is no isolated phenomenon but rather, in many cases, the first and also the simplest non-trivial example in a sequence of generalizations leading to further developments.
It is the purpose of this book, on the one hand, to describe examples of the Golden Section, and on the other, to show some paths to further extensions.
This English edition has been prepared, with the author's cooperation, to make it available to English-speaking students of mathematics. The treatment is informal and the text is enriched by the presence of especially illuminating diagrams. Questions are posed at fairly frequent intervals, and the answers to these questions, perhaps only in the form of very broad hints, are gathered together at the end of the book.
Contents
- What is it all about?
- Fractals
- Golden geometry
- Folds and cuts
- Number sequences
- Regular and semi-regular solids
- Examples and further questions
L'auteur - Hans Walser
Hans, Walser is a teacher at the State College of
Thurgau in Switzerland and lecturer at the ETH Zürich
(Swiss Federal Institute of Technology) and the University
of Basel. He received his Ph.D from the ETH Zürich in 1975.
His primary research interest is in geometry. He is
currently involved in the instruction and education of
future high school teachers. He was a visiting guest and
lecturer at Santa Clara University in 1996 and 1998. The
Mathematical Association of America has also published the
English translation of "Symmetry," by Hans Walser.
Caractéristiques techniques
| PAPIER | |
| Éditeur(s) | The Mathematical Association of America (MAA) |
| Auteur(s) | Hans Walser |
| Parution | 01/01/2001 |
| Nb. de pages | 158 |
| Format | 15,2 x 22,8 |
| Couverture | Broché |
| Poids | 224g |
| Intérieur | Noir et Blanc |
| EAN13 | 9780883855348 |
| ISBN13 | 978-0-88385-534-8 |
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