Convex polyhedra / A. D. Alexandrov

Von:

Aleksandrov, Aleksandr D, 1912-1999 [VerfasserIn]

Resource type: Ressourcentyp: BuchBuchSprache: Englisch Originalsprache: Russisch Reihen: Springer monographs in mathematicsVerlag: Berlin ; Heidelberg ; New York : Springer, [2005]Copyright-Datum: ©2005Beschreibung: XI, 539 Seiten : Illustrationen ; 24 cmISBN:

3540231587
9783642062155

Einheitssachtitel:

Vypuklye mnogogranniki

Schlagwörter:

Andere physische Formen: 9783540263401 | Erscheint auch als: Convex Polyhedra. Online-Ausgabe Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2005. Online-Ressource (XII, 542 p. 165 illus, online resource)MSC: MSC: *52B10 | 53C45 | 52-02 | 52C25RVK: RVK: SK 380LOC-Klassifikation:

QA491

Zusammenfassung: Convex Polyhedra is one of the classics in geometry. There simply is no other book with so many of the aspects of the theory of 3-dimensional convex polyhedra in a comparable way, and in anywhere near its detail and completeness. It is the definitive source of the classical field of convex polyhedra and contains the available answers to the question of the data uniquely determining a convex polyhedron. This question concerns all data pertinent to a polyhedron, e.g. the lengths of edges, areas of faces, etc. This vital and clearly written book includes the basics of convex polyhedra and collects the most general existence theorems for convex polyhedra that are proved by a new and unified method. It is a wonderful source of ideas for students. The English edition includes numerous comments as well as added material and a comprehensive bibliography by V.A. Zalgaller to bring the work up to date. Moreover, related papers by L.A.Shor and Yu.A.Volkov have been added as supplements to this book TOC:0. Introduction.- 1. Basic Concepts and Simplest Properties of Convex Polyhedra.- 2. Methods and Results.- 3. Uniqueness of Polyhedra with Prescribed Development.- 4. Existence of Polyhedra with Prescribed Development.- 5. Gluing and Flexing Polyhedra with Boundary.- 6. Conditions for Congruence of Polyhedra with Parallel Faces.- 7. Existence Theorems for Polyhedra with Prescribed Face Directions.- 8. Relationship Between the Congruence Condition for Polyhedra with Parallel Faces and Other Problems.- 9. Polyhedra with Vertices on Prescribed Rays.- 10. Infinitesimal Rigidity of Convex Polyhedra with Stationary Development.- 11. Infinitesimal Rigidity Conditions for Polyhedra with Prescribed Face Directions.- 12. Supplements. - References.- Subject IndexPPN: PPN: 476494222

Exemplare ( 1 )

Exemplare
Medientyp	Heimatbibliothek	Standort	Signatur	Status	Barcode
Freihandbestand ausleihbar	Fachbibliothek Mathematik	Bibliothek / frei aufgestellt	Geom. / Ale	Verfügbar	36371086090

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