Convex polytopes / second edition, Grünbaum Branko, Ziegler Günter M.
Àâòîð: Ziegler Günter M. Íàçâàíèå: Lectures on polytopes ISBN: 038794365X ISBN-13(EAN): 9780387943657 Èçäàòåëüñòâî: Springer Ðåéòèíã: Öåíà: 5304.00 ð. Íàëè÷èå íà ñêëàäå: Åñòü ó ïîñòàâùèêà Ïîñòàâêà ïîä çàêàç.
Îïèñàíèå: Based on a graduate course given at the Technische Universität, Berlin, these lectures present a wealth of material on the modern theory of convex polytopes. The clear and straightforward presentation features many illustrations, and provides complete proofs for most theorems. The material requires only linear algebra as a prerequisite, but takes the reader quickly from the basics to topics of recent research, including a number of unanswered questions. The lectures - introduce the basic facts about polytopes, with an emphasis on the methods that yield the results (Fourier-Motzkin elimination, Schlegel diagrams, shellability, Gale transforms, and oriented matroids) - discuss important examples and elegant constructions (cyclic and neighborly polytopes, zonotopes, Minkowski sums, permutahedra and associhedra, fiber polytopes, and the Lawrence construction) - show the excitement of current work in the field (Kalai's new diameter bounds, construction of non-rational polytopes, the Bohne-Dress tiling theorem, the upper-bound theorem), and nonextendable shellings) They should provide interesting and enjoyable reading for researchers as well as students.
Îïèñàíèå: Deals with the theory of pairs of compact convex sets. This book also talks about the problem of finding different types of minimal representants of a pair of nonempty compact convex subsets of a locally convex vector space in the sense of the Radstrom-Hormander Theory.
Îïèñàíèå: The second of two volumes which aim to survey convex geometry, its many ramifications and its relations with other areas of mathematics. A second aim is to give a high-level introduction to most branches of convexity and its applications, showing the major ideas, methods and results.
Îïèñàíèå: The first of two volumes which aim to survey convex geometry, its many ramifications and its relations with other areas of mathematics. A second aim is to give a high-level introduction to most branches of convexity and its applications, showing the major ideas, methods and results.
Àâòîð: I. E. Leonard,J. E. Lewis Íàçâàíèå: Geometry of Convex Sets ISBN: 1119022665 ISBN-13(EAN): 9781119022664 Èçäàòåëüñòâî: Wiley Ðåéòèíã: Öåíà: 13456.00 ð. Íàëè÷èå íà ñêëàäå: Åñòü ó ïîñòàâùèêà Ïîñòàâêà ïîä çàêàç.
Îïèñàíèå: A gentle introduction to the geometry of convex sets in n -dimensional space Geometry of Convex Sets begins with basic definitions of the concepts of vector addition and scalar multiplication and then defines the notion of convexity for subsets of n-dimensional space.
Àâòîð: Schneider Íàçâàíèå: Convex Bodies: The Brunn–Minkowski Theory ISBN: 1107601010 ISBN-13(EAN): 9781107601017 Èçäàòåëüñòâî: Cambridge Academ Ðåéòèíã: Öåíà: 25502.00 ð. Íàëè÷èå íà ñêëàäå: Åñòü ó ïîñòàâùèêà Ïîñòàâêà ïîä çàêàç.
Îïèñàíèå: Now in its second edition, this classic text has been expanded to reflect significant developments in Brunn-Minkowski theory over the past two decades. It gives a complete presentation from basics to the exposition of current research, with full proofs, pointers to other fields and a fully updated reference list.
