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001 978-3-662-68931-8
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020 _a9783662689318
_9978-3-662-68931-8
024 7 _a10.1007/978-3-662-68931-8
_2doi
050 4 _aQA440-699
072 7 _aPBM
_2bicssc
072 7 _aMAT012000
_2bisacsh
072 7 _aPBM
_2thema
100 1 _aWalser, Hans.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_976814
245 1 0 _aSpirals, Helical Lines, and Spiral-Like Figures
_h[electronic resource] :
_bMathematical Playfulness in Two and Three Dimensions /
_cby Hans Walser.
250 _a1st ed. 2024.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c2024.
300 _aIX, 151 p. 255 illus., 242 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _a1 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.
520 _aIn 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. The Author 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.
650 0 _aGeometry.
_968763
650 0 _aMathematics.
_965523
650 1 4 _aGeometry.
_968763
650 2 4 _aMathematics in Popular Science.
_975252
650 2 4 _aGeneral Mathematics and Education.
_973687
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783662689301
776 0 8 _iPrinted edition:
_z9783662689325
856 4 0 _uhttps://doi.org/10.1007/978-3-662-68931-8
912 _aZDB-2-SMA
912 _aZDB-2-SXMS
999 _c59853
_d59853