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Titlebook: Convex Polytopes; Branko Grünbaum,Volker Kaibel,Victor Klee,Günter M Textbook 2003Latest edition Springer Science+Business Media New York

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发表于 2025-3-21 18:18:37 | 显示全部楼层 |阅读模式
书目名称Convex Polytopes
编辑Branko Grünbaum,Volker Kaibel,Victor Klee,Günter M
视频video
概述Includes supplementary material:
丛书名称Graduate Texts in Mathematics
图书封面Titlebook: Convex Polytopes;  Branko Grünbaum,Volker Kaibel,Victor Klee,Günter M Textbook 2003Latest edition Springer Science+Business Media New York
描述."The appearance of Grünbaum‘s book .Convex Polytopes. in 1967 was a moment of grace to geometers and combinatorialists. The special spirit of the book is very much alive even in those chapters where the book‘s immense influence made them quickly obsolete. Some other chapters promise beautiful unexplored land for future research. The appearance of the new edition is going to be another moment of grace. Kaibel, Klee and Ziegler were able to update the convex polytope saga in a clear, accurate, lively, and inspired way." .(Gil Kalai, The Hebrew University of Jerusalem). .."The original book of Grünbaum has provided the central reference for work in this active area of mathematics for the past 35 years...I first consulted this book as a graduate student in 1967; yet, even today, I am surprised again and again by what I find there. It is an amazingly complete reference for work on this subject up to that time and continues to be a major influence on research to this day." .(Louis J. Billera, Cornell University). .."The original edition of .Convex Polytopes. inspired a whole generation of grateful workers in polytope theory. Without it, it is doubtful whether many of the subsequent adva
出版日期Textbook 2003Latest edition
关键词YellowSale2006; algebra; boundary element method; character; construction; convex hull; Dimension; duality;
版次2
doihttps://doi.org/10.1007/978-1-4613-0019-9
isbn_softcover978-0-387-40409-7
isbn_ebook978-1-4613-0019-9Series ISSN 0072-5285 Series E-ISSN 2197-5612
issn_series 0072-5285
copyrightSpringer Science+Business Media New York 2003
The information of publication is updating

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发表于 2025-3-21 20:48:10 | 显示全部楼层
3-Polytopes,ility’ of 3-polytopes and the fact that the research of their properties goes back to antiquity. A deeper reason is that, from many combinatorial points of view, 3-polytopes may be replaced by planar graphs. The various techniques of graph theory are therefore applicable to the study of 3-polytopes.
发表于 2025-3-22 00:49:55 | 显示全部楼层
Concluding Remarks,polytopes or else, though meaningful for a larger class of sets, reduce in their most interesting aspects to polytopes. Clearly, the number of such topics could be increased almost without bounds, and the selection of those dealt with here reflects only the author’s predilections and interests.
发表于 2025-3-22 08:28:00 | 显示全部楼层
Branko Grünbaum,Volker Kaibel,Victor Klee,Günter MIncludes supplementary material:
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The Case of a Bounded Number of Vortices,The present chapter contains the fundamental concepts and facts on which we rely in the sequel. Polytopes, their faces and combinatorial types, complexes, Schlegel diagrams, combinatorial equivalence, duality, and polarity are the main topics discussed.
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The Case of a Bounded Number of Vortices,The neighborly polytopes, rediscovered barely a decade ago as a rather freakish family of polytopes, have in recent years gained importance and received much attention due to their connection with certain extremal problems (see section 10.1). In the present chapter we discuss the main properties of neighborly polytopes.
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