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Convex polyhedra

Author: A D Aleksandrov
Publisher: Berlin ; New York : Springer, ©2005.
Series: Springer monographs in mathematics.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
"Convex Polyhedra 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 book includes the basics of convex polyhedra and collects the most general existence theorems for convex polyhedra  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Aleksandrov, A.D. (Aleksandr Danilovich), 1912-
Convex polyhedra.
Berlin ; New York : Springer, c2005
(DLC) 2004117404
(OCoLC)59133746
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: A D Aleksandrov
ISBN: 3540231587 9783540231585 3540263403 9783540263401
OCLC Number: 62750601
Description: 1 online resource (xi, 536 p.) : ill.
Contents: 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.
Series Title: Springer monographs in mathematics.
Other Titles: Vypuklye mnogogranniki.
Responsibility: A.D. Alexandrov.
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Abstract:

"Convex Polyhedra 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 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."--Jacket.

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From the reviews: "This book was first published in Russian in 1950 [2], then translated into German in 1958 [3]. Now, V. A. Zalgaller has updated and substantially lengthened this English edition Read more...

 
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