Dettaglio del documento
Circles, spheres and spherical geometry
Abstract
This textbook explores the geometry of circles, spheres, and spherical space starting from classic themes. The work introduces the concepts of inversion and stereographic projection in a simple manner, before delving into Bend's formulas for tangent circles and the fundamentals of graph theory.
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Key theorems covered include quadrangulations, the Brightwell-Scheinerman theorem, Newton's 13-sphere problem, and Casey's theorem. The final part of the volume is entirely dedicated to spherical geometry and geometric probability on the sphere. The manual stands out for including the authors' own unpublished research results and literature notes, while also offering exercises of varying difficulty with selected solutions at the end of each chapter. (Estratto dal sito dell'editore)
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| eBook | ||
| Monografia | ||
| Description | *Circles, spheres and spherical geometry / Hiroshi Maehara, Horst Martini. - Cham : Birkhäuser, 2024. - 1 testo elettronico (xiv, 336 p. : ill.) | |
| ISBN E-Book | 9783031627767 | |
| Series | Birkhäuser advanced texts | |
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| Subjects | 51M09 - Elementary problems in hyperbolic and elliptic geometries [MSC 2020] | |
| 51M10 - Hyperbolic and elliptic geometries (general) and generalizations [MSC 2020] | ||
| Parole chiave |
Bend Formulas
Geodesic segments Geometry of circles and spheres Great circle Planar graphs Spherical Geometry Spherical polygon Stereographic projection |
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| Publication place | Cham | |
| Publisher | Birkhäuser <editore> | |
| Publication year | 2024 | |
| Thesaurus | 51M09 | |
| 51M10 | ||
| Elementary problems in hyperbolic and elliptic geometries [MSC 2020] | ||
| Hyperbolic and elliptic geometries (general) and generalizations [MSC 2020] |