The Golden Ratio - Geometric and Number Theoretical Considerations

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.

List of contents

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

About 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.
 

Product details

• Authors: Hans Walser
• Publisher: Springer, Berlin
• Original title: Der Goldene Schnitt (6., bearbeitete und erweiterte Aufl.)
• Languages: English
• Product format: Paperback / Softback
• Released: 19.10.2024
• EAN: 9783662698891
• ISBN: 978-3-662-69889-1
• No. of pages: 140
• Illustrations: IX, 140 p. 255 illus., 247 illus. in color. With online files/update.
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > General, dictionaries; Mathematik, Fachspezifischer Unterricht, Angewandte Mathematik, Mathematics Education, Mathematics in Art and Architecture, General Mathematics, Proportions, Regular Pentagon, Continued Division, Golden Ratio, Number Sequences and Limits, Fibonacci Numbers, Continuous Division, Regular Solids, Division Ratio of Two Segments, Paper Strips, Folding Geometry, Rhombic Solid