Grunbaum Convex Polytopes
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Convex Polytopes
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Author : Branko Grünbaum
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01
Convex Polytopes written by Branko Grünbaum and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-01 with Mathematics categories.
"The original edition [...] inspired a whole generation of grateful workers in polytope theory. Without it, it is doubtful whether many of the subsequent advances in the subject would have been made. The many seeds it sowed have since grown into healthy trees, with vigorous branches and luxuriant foliage. It is good to see it in print once again." --Peter McMullen, University College London
Grunbaum Convex Polytopes
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Author : B. Grunbaum
language : en
Publisher:
Release Date : 1967
Grunbaum Convex Polytopes written by B. Grunbaum and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with categories.
Convex Polytopes By B Grunbaum
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Author : Branko Grünbaum
language : en
Publisher:
Release Date :
Convex Polytopes By B Grunbaum written by Branko Grünbaum and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with Convex bodies categories.
Convex Polytopes
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Author : Branko Grunbaum
language : en
Publisher:
Release Date : 1988
Convex Polytopes written by Branko Grunbaum and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Convex polytopes categories.
Convex Polytopes
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Author : Branko Grunbaum
language : en
Publisher:
Release Date : 1969
Convex Polytopes written by Branko Grunbaum and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with categories.
Though the study of convex polytopes in Euclidean spaces of two or three dimensions is one of the oldest branches of mathematics, many of the more interesting properties of the polytopes have been discovered comparatively recently, and are still unknown to the majority of mathematicians. In this paper we shall survey the subject, mentioning some of the most recent results, and stating the more important unsolved problems. (Author).
Convex Polytopes
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Author : P. McMullen
language : en
Publisher: CUP Archive
Release Date : 1971-07-02
Convex Polytopes written by P. McMullen and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971-07-02 with Mathematics categories.
Convex Polytopes
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Author : Adolf Grünbaum
language : en
Publisher:
Release Date : 1967
Convex Polytopes written by Adolf Grünbaum and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with categories.
An Introduction To Convex Polytopes
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Author : Arne Brondsted
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
An Introduction To Convex Polytopes written by Arne Brondsted and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
The aim of this book is to introduce the reader to the fascinating world of convex polytopes. The highlights of the book are three main theorems in the combinatorial theory of convex polytopes, known as the Dehn-Sommerville Relations, the Upper Bound Theorem and the Lower Bound Theorem. All the background information on convex sets and convex polytopes which is m~eded to under stand and appreciate these three theorems is developed in detail. This background material also forms a basis for studying other aspects of polytope theory. The Dehn-Sommerville Relations are classical, whereas the proofs of the Upper Bound Theorem and the Lower Bound Theorem are of more recent date: they were found in the early 1970's by P. McMullen and D. Barnette, respectively. A famous conjecture of P. McMullen on the charac terization off-vectors of simplicial or simple polytopes dates from the same period; the book ends with a brief discussion of this conjecture and some of its relations to the Dehn-Sommerville Relations, the Upper Bound Theorem and the Lower Bound Theorem. However, the recent proofs that McMullen's conditions are both sufficient (L. J. Billera and C. W. Lee, 1980) and necessary (R. P. Stanley, 1980) go beyond the scope of the book. Prerequisites for reading the book are modest: standard linear algebra and elementary point set topology in [R1d will suffice.
Polytopes
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Author : Tibor Bisztriczky
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Polytopes written by Tibor Bisztriczky and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
The aim of this volume is to reinforce the interaction between the three main branches (abstract, convex and computational) of the theory of polytopes. The articles include contributions from many of the leading experts in the field, and their topics of concern are expositions of recent results and in-depth analyses of the development (past and future) of the subject. The subject matter of the book ranges from algorithms for assignment and transportation problems to the introduction of a geometric theory of polyhedra which need not be convex. With polytopes as the main topic of interest, there are articles on realizations, classifications, Eulerian posets, polyhedral subdivisions, generalized stress, the Brunn--Minkowski theory, asymptotic approximations and the computation of volumes and mixed volumes. For researchers in applied and computational convexity, convex geometry and discrete geometry at the graduate and postgraduate levels.
Lectures On Polytopes
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Author : Günter M. Ziegler
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Lectures On Polytopes written by Günter M. Ziegler and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Based on a graduate course at the Technische Universität, Berlin, these lectures present a wealth of material on the modern theory of convex polytopes. The straightforward exposition features many illustrations, and complete proofs for most theorems. With only linear algebra as a prerequisite, it takes the reader quickly from the basics to topics of recent research. The lectures introduce basic facts about polytopes, with an emphasis on methods that yield the results, discuss important examples and elegant constructions, and show the excitement of current work in the field. They will provide interesting and enjoyable reading for researchers as well as students.