The Golden Section (Spectrum) by Hans Walser (PDF)

Description

The Golden Section has played a part since antiquity in many parts of geometry, architecture, music, art and philosophy. However, 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 the context of generalisations 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. The treatment is informal and the text is enriched by the presence of very illuminating diagrams. Questions are posed at fairly frequent intervals and the answers to these questions, perhaps only in the form of very broad hints for their solution, are gathered together at the end of the text.

User’s Reviews

Opiniones editoriales Book Description This book describes examples of the Golden Section, and shows some paths to further developments. Book Description The Golden Section has played a part since antiquity in many parts of geometry, architecture, music, art and philosophy. However, it also appears in the newer domains of technology and fractals. This book aims both to describe examples of the Golden Section, and to show some paths to further developments. About the Author 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. Leer más

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐The Golden Section is a very fascinating topic that is applied in several fields, both mathematical and nonmathematical. Why? Because this number primarily focuses on proportion, both in a physical and numerical context.Somewhat to my chagrin, the author confines this subject within the realm of mathematics. For I wish that the Golden Section was discussed from a thematic or historical standpoint, such as how or why artists such as Da Vinci used this concept in order to construct or create works of art that were well-proportioned.Nonetheless, the mathematics is delightfully presented. It is sketchy in some areas but is much easier to follow than several of the 50+-year-old-mathematical works that have not been revised or updated. Fascinatingly, this one topic alone synthesizes or ties in several mathematical disciplines, including: fractals, geometry, topology, number theory, trigonometry, and, strangely enough, probability.I highly recommend this book. It is neat and concise, and it is a great reference for the mathematician who has been out of practice for a while to brush up on his or her skills.

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⭐This is a fascinating book, which links the ‘golden section’ with many different areas of mathematics. It is well written with clear diagrams and is a suitable level for university students of maths. Also anyone interested in maths could probably gain something from it, especially from the sections on fractals and on paper cutting and folding. I am a maths graduate, but studied many years ago and in my retirement I am interested in maths subjects and problems generally and have found this book ideal. It contains quite a number of interesting questions and the answers – though not full detailed solutions, so the reader has to find the method. I have enjoyed this book so much that I have now ordered another book from the same series.

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