Lectures On Polytopes
DOWNLOAD
Download Lectures On Polytopes PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Lectures On Polytopes book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Lectures On Polytopes
DOWNLOAD
Author : Günter M. Ziegler
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-05-03
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 2012-05-03 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.
Lectures In Geometric Combinatorics
DOWNLOAD
Author : Rekha R. Thomas
language : en
Publisher:
Release Date : 2006
Lectures In Geometric Combinatorics written by Rekha R. Thomas and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Combinatorial analysis categories.
Lectures On Discrete Geometry
DOWNLOAD
Author : Jiri Matousek
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01
Lectures On Discrete Geometry written by Jiri Matousek 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 main topics in this introductory text to discrete geometry include basics on convex sets, convex polytopes and hyperplane arrangements, combinatorial complexity of geometric configurations, intersection patterns and transversals of convex sets, geometric Ramsey-type results, and embeddings of finite metric spaces into normed spaces. In each area, the text explains several key results and methods.
Lectures On Polytopes
DOWNLOAD
Author : Günter M. Ziegler
language : en
Publisher: Springer
Release Date : 2012-05-03
Lectures On Polytopes written by Günter M. Ziegler and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-03 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.
Lectures On Discrete Geometry
DOWNLOAD
Author : J. Matou Ek
language : en
Publisher:
Release Date : 2014-09-01
Lectures On Discrete Geometry written by J. Matou Ek and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-01 with categories.
Lectures On Sphere Arrangements The Discrete Geometric Side
DOWNLOAD
Author : Károly Bezdek
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-08-04
Lectures On Sphere Arrangements The Discrete Geometric Side written by Károly Bezdek 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 2013-08-04 with Mathematics categories.
This monograph gives a short introduction to the relevant modern parts of discrete geometry, in addition to leading the reader to the frontiers of geometric research on sphere arrangements. The readership is aimed at advanced undergraduate and early graduate students, as well as interested researchers. It contains more than 40 open research problems ideal for graduate students and researchers in mathematics and computer science. Additionally, this book may be considered ideal for a one-semester advanced undergraduate or graduate level course. The core part of this book is based on three lectures given by the author at the Fields Institute during the thematic program on “Discrete Geometry and Applications” and contains four core topics. The first two topics surround active areas that have been outstanding from the birth of discrete geometry, namely dense sphere packings and tilings. Sphere packings and tilings have a very strong connection to number theory, coding, groups, and mathematical programming. Extending the tradition of studying packings of spheres, is the investigation of the monotonicity of volume under contractions of arbitrary arrangements of spheres. The third major topic of this book can be found under the sections on ball-polyhedra that study the possibility of extending the theory of convex polytopes to the family of intersections of congruent balls. This section of the text is connected in many ways to the above-mentioned major topics and it is also connected to some other important research areas as the one on coverings by planks (with close ties to geometric analysis). This fourth core topic is discussed under covering balls by cylinders.
Convex Polytopes
DOWNLOAD
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.
Grobner Bases And Convex Polytopes
DOWNLOAD
Author : Bernd Sturmfels
language : en
Publisher: American Mathematical Soc.
Release Date : 1996
Grobner Bases And Convex Polytopes written by Bernd Sturmfels and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.
This book is about the interplay of computational commutative algebra and the theory of convex polytopes. It centres around a special class of ideals in a polynomial ring: the class of toric ideals. They are characterized as those prime ideals that are generated by monomial differences or as the defining ideals of toric varieties (not necessarily normal). The interdisciplinary nature of the study of Gröbner bases is reflected by the specific applications appearing in this book. These applications lie in the domains of integer programming and computational statistics. The mathematical tools presented in the volume are drawn from commutative algebra, combinatorics, and polyhedral geometry.
Lectures In Geometric Combinatorics
DOWNLOAD
Author : Rekha R. Thomas
language : en
Publisher: American Mathematical Soc.
Release Date : 2006
Lectures In Geometric Combinatorics written by Rekha R. Thomas and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.
This book presents a course in the geometry of convex polytopes in arbitrary dimension, suitable for an advanced undergraduate or beginning graduate student. The book starts with the basics of polytope theory. Schlegel and Gale diagrams are introduced as geometric tools to visualize polytopes in high dimension and to unearth bizarre phenomena in polytopes. The heart of the book is a treatment of the secondary polytope of a point configuration and its connections to the statepolytope of the toric ideal defined by the configuration. These polytopes are relatively recent constructs with numerous connections to discrete geometry, classical algebraic geometry, symplectic geometry, and combinatorics. The connections rely on Grobner bases of toric ideals and other methods fromcommutative algebra. The book is self-contained and does not require any background beyond basic linear algebra. With numerous figures and exercises, it can be used as a textbook for courses on geometric, combinatorial, and computational aspects of the theory of polytopes.
Geometric Combinatorics
DOWNLOAD
Author : Ezra Miller
language : en
Publisher: American Mathematical Soc.
Release Date :
Geometric Combinatorics written by Ezra Miller and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
Geometric combinatorics describes a wide area of mathematics that is primarily the study of geometric objects and their combinatorial structure. This text is a compilation of expository articles at the interface between combinatorics and geometry.