Circles, Spheres and Spherical Geometry / / by Hiroshi Maehara, Horst Martini
| Circles, Spheres and Spherical Geometry / / by Hiroshi Maehara, Horst Martini |
| Autore | Maehara Hiroshi |
| Edizione | [1st ed. 2024.] |
| Pubbl/distr/stampa | Cham : , : Springer Nature Switzerland : , : Imprint : Birkhäuser, , 2024 |
| Descrizione fisica | 1 online resource (342 pages) |
| Disciplina | 516 |
| Altri autori (Persone) | MartiniHorst |
| Collana | Birkhäuser Advanced Texts Basler Lehrbücher |
| Soggetto topico |
Geometry
Convex geometry Discrete geometry Graph theory Convex and Discrete Geometry Graph Theory Esfera |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-031-62776-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | - Inversion and stereographic projection -- Bend formulas -- Graphs and circle-systems -- Spherical geometry I -- Spherical geometry II -- The problem of thirteen balls -- Spherical geometry III -- Geometric probability on the sphere -- Intersection graphs of spherical caps -- Quartets on a sphere -- Higher dimensions -- The Cayley-Menger determinant -- Casey's theorem -- Solutions to the selected exercises. |
| Record Nr. | UNINA-9910879595403321 |
Maehara Hiroshi
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| Cham : , : Springer Nature Switzerland : , : Imprint : Birkhäuser, , 2024 | ||
| Lo trovi qui: Univ. Federico II | ||
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Lagerungen : arrangements in the plane, on the sphere, and in space / / László Fejes Tóth, Gábor Fejes Tóth, and Wlodzimierz Kuperberg
| Lagerungen : arrangements in the plane, on the sphere, and in space / / László Fejes Tóth, Gábor Fejes Tóth, and Wlodzimierz Kuperberg |
| Autore | Fejes Tóth László |
| Edizione | [1st ed. 2023.] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2023] |
| Descrizione fisica | 1 online resource (454 pages) |
| Disciplina | 929.605 |
| Collana | Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics |
| Soggetto topico |
Convex surfaces
Polyhedra Sphere Superfícies convexes Poliedres Esfera |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9783031218002
9783031217999 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Part I. Lagerungen - Arrangements in the Plane, on the Sphere, and in Space -- 1. Some Theorems from Elementary Geometry -- 2. Theorems from the Theory of Convex Bodies -- 3. Problems on Packing and Covering in the Plane -- 4. Efficiency of Packings and Coverings with a Sequence of Convex Disks -- 5. Extremal Properties of Regular Polyhedra -- 6. Irregular Packing on the Sphere -- 5. Packing in Space -- Part II. Notes and Additional Chapters to the English Edition -- 8. Notes -- 9. Finite Variations on the Isoperimetric Problem -- 10. Higher Dimensions -- 11. Ball Packings in Hyperbolic Space -- 12. Mutliple Arrangements -- 13. Neighbors -- 14. Packing and Covering Properties fo Sequences of Convex Bodies -- 15. Four Classic Problems -- 16. Miscellaneous Problems about Packing and Covering -- References for Part I -- References for Part II -- Name Index -- Subject Index. |
| Record Nr. | UNINA-9910683348603321 |
Fejes Tóth László
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| Cham, Switzerland : , : Springer, , [2023] | ||
| Lo trovi qui: Univ. Federico II | ||
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