Convex Polyhedra

• Κύριος συγγραφέας: Alexandrov, †A.D (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2005.
• Σειρά: Springer Monographs in Mathematics,
• Θέματα: Mathematics.; Visualization.; Convex geometry.; Discrete geometry.; Convex and Discrete Geometry.

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...

Πίνακας περιεχομένων:

• Basic Concepts and Simplest Properties of Convex Polyhedra
• Methods and Results
• Uniqueness of Polyhedra with Prescribed Development
• Existence of Polyhedra with Prescribed Development
• Gluing and Flexing Polyhedra with Boundary
• Congruence Conditions for Polyhedra with Parallel Faces
• Existence Theorems for Polyhedra with Prescribed Face Directions
• Relationship Between the Congruence Condition for Polyhedra with Parallel Faces and Other Problems
• Polyhedra with Vertices on Prescribed Rays
• Infinitesimal Rigidity of Convex Polyhedra with Stationary Development
• Infinitesimal Rigidity Conditions for Polyhedra with Prescribed Face Directions
• Supplements.