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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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.
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Preface.- What is it about?- Golden Geometry.- Golden Angles.- Folding and Cutting.- Number Sequences.- Regular and Related Solids.- Examples.- Literature.
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.  
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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)
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GPSR Compliance The European Union's (EU) General Product Safety Regulation (GPSR) is a set of rules that requires consumer products to be safe and our obligations to ensure this. If you have any concerns about our products you can contact us on ProductSafety@springernature.com. In case Publisher is established outside the EU, the EU authorized representative is: Springer Nature Customer Service Center GmbH Europaplatz 3 69115 Heidelberg, Germany ProductSafety@springernature.com
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Produktdetaljer

ISBN
9783662698891
Publisert
2024-12-03
Utgiver
Vendor
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Høyde
235 mm
Bredde
155 mm
Aldersnivå
Lower undergraduate, P, UP, 06, 05
Språk
Product language
Engelsk
Format
Product format
Heftet
Orginaltittel
Der Goldene Schnitt (6., bearbeitete und erweiterte Aufl.)

Forfatter

Om bidragsyterne

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.