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The Golden Ratio: Geometric and Number Theoretical Considerations

Autor Hans Walser
en Limba Engleză Paperback – 17 oct 2024
This book illustrates key mathematical aspects of the Golden Ratio: It particularly delves into geometric and number theoretical connections and examples, and makes further considerations and generalizations accessible.
The book is primarily aimed at students, pupils, mathematics teachers, and interested laypeople. It is modular in structure, so the individual chapters can be read independently of one another. The reading is intended to encourage one's own geometric activities. Tips and procedural hints from the craft-creative realm are also provided.
Supplementary animations can be accessed with the SN More Media App: simply download the SN More Media App for free, scan a picture or link with the play button, and immediately play the animation on your smartphone or tablet.
The translation was done with the help of artificial intelligence. A subsequent human revision was done primarily in terms of content.
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Specificații

ISBN-13: 9783662698891
ISBN-10: 3662698897
Pagini: 158
Ilustrații: Approx. 160 p. With online files/update.
Dimensiuni: 155 x 235 mm
Ediția:2025
Editura: Springer Berlin, Heidelberg
Colecția Springer
Locul publicării:Berlin, Heidelberg, Germany

Cuprins

Preface.- What is it about?- Golden Geometry.- Golden Angles.- Folding and Cutting.- Number Sequences.- Regular and Related Solids.- Examples.- Literature.

Notă biografică

Dr. Hans Walser was a high school teacher and a lecturer at ETH Zurich, the University of Basel, and the University of Teacher Education Basel in the field of teacher training and mathematics for students of natural and engineering sciences.
 

Textul de pe ultima copertă

This book illustrates key mathematical aspects of the Golden Ratio: It particularly delves into geometric and number theoretical connections and examples, and makes further considerations and generalizations accessible.
The book is primarily aimed at students, pupils, mathematics teachers, and interested laypeople. It is modular in structure, so the individual chapters can be read independently of one another. The reading is intended to encourage one's own geometric activities. Tips and procedural hints from the craft-creative realm are also provided.
Supplementary animations can be accessed with the SN More Media App: simply download the SN More Media App for free, scan a picture or link with the play button, and immediately play the animation on your smartphone or tablet.
The Author
Dr. Hans Walser was a high school teacher and a lecturer at ETH Zurich, the University of Basel, and the University of Teacher Education Basel in the field of teacher training and mathematics for students of natural and engineering sciences.
The translation was done with the help of artificial intelligence. A subsequent human revision was done primarily in terms of content.
 

Caracteristici

Contains a large selection of elementary geometric examples Illustrates the relationship between numbers and figures Appealing color illustrations and additional animations (the latter via SN More Media App or browser)