Convex polyhedra
著者
書誌事項
Convex polyhedra
（Springer monographs in mathematics）
Springer-Verlag, c2005
[Eng. ed.]
- english ed
- : softcover
- タイトル別名
-
Vypuklye mnogogranniki
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注記
"The Russian edition was published by Gosudarstv. Izdat. Tekhn.-Teor. Lit., Moscow-Leningrad, 1950" -- T.p. verso
Includes bibliographical references (p. [525]-536) and index
"Softcover reprint of the hardcover 1st edition 2005"--T.p. verso of softcover
内容説明・目次
内容説明
This classic geometry text explores the theory of 3-dimensional convex polyhedra in a unique fashion, with exceptional detail. Vital and clearly written, the 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. This edition includes a comprehensive bibliography by V.A. Zalgaller, and related papers as supplements to the original text.
目次
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.
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