Spirals, Helical Lines, and Spiral-Like Figures

Mathematical Playfulness in Two and Three Dimensions

Hans Walser (Autor)

Buch | Softcover

IX, 151 Seiten

2024 | 2024
Springer Berlin (Verlag)
978-3-662-68930-1 (ISBN)

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In this book you will discover the mathematical patterns and regularities of various spirals, helixes and spiral-like figures. Their geometric aspects and connections are presented in a visually appealing way and are supplemented as best as possible with analytical aspects and representations. Using examples from technology and nature, you will learn about round, square, golden and spherical spirals and examine their curvature behavior and other exciting properties. The examples are arranged thematically and the book has a modular structure so that the individual chapters can be read largely independently of each other. It is therefore a valuable resource for students, pupils, (prospective) teachers, those interested in mathematics and those who want to become one.
Additional animations are available with the SN More Media app: simply download the SN More Media app free of charge, scan an image or a 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.

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

1 Introduction.- 2 The logarithmic spiral.- 3 The Archimedean spiral.- 4 Screws.- 5 Angular logarithmic spirals.- 6 Angular Archimedean spirals.- 7 Curvature.- 8 Golden spirals.- 9 Optical illusions.- 10 Spherical spirals.

Erscheint lt. Verlag	15.5.2024
Zusatzinfo	IX, 151 p. 255 illus., 242 illus. in color. With online files/update.
Verlagsort	Berlin
Sprache	englisch
Original-Titel	Spiralen, Schraubenlinien und spiralartige Figuren
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Schlagworte	Helical Line • Helix • Mathematical Spirals • Snail Line • Spiral-like Figures
ISBN-10	3-662-68930-8 / 3662689308
ISBN-13	978-3-662-68930-1 / 9783662689301
Zustand	Neuware