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Convex Polyhedra (Springer Monographs in Mathematics), by A.D. Alexandrov
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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.
- Sales Rank: #3645207 in eBooks
- Published on: 2006-03-30
- Released on: 2006-03-30
- Format: Kindle eBook
Review
Aus den Rezensionen: "… Das ist nun die erste englische �bersetzung des Textes. Neu sind die Fu�noten … zu inzwischen gel�sten Problemen, kurze Anh�nge … und das aktualisierte Literaturverzeichnis. Die zentrale Fragestellung des Buches ist: durch welche Daten kann ein konvexes Polyeder im dreidimensionalen Raum … beschrieben werden? … Viele der dargestellten sch�nen Resultate und Beweise stammen von Alexandrov selbst. Es ist daher ein Buch, das sehr inspirierend ist." (M. Ludwig, in: IMN - Internationale Mathematische Nachrichten, 2006, Issue 203, S. 27)
About the Author
A.D. Alexandrov was awarded the Stalin State Prize in 1942, the Lobachevsky prize in 1952, and the Euler Golden Medal in 1992. �
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