Algebraic And Geometric Combinatorics On Lattice Polytopes - Proceedings Of The Summer Workshop On Lattice Polytopes, Hibi Takayuki, Tsuchiya Akiyoshi

Автор: Gr?tzer
Название: Lattice Theory: Special Topics and Applications
ISBN: 331944235X ISBN-13(EAN): 9783319442358
Издательство: Springer
Рейтинг:
Цена: 18167.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: George Gr?tzer's Lattice Theory: Foundation is his third book on lattice theory (General Lattice Theory, 1978, second edition, 1998). In 2009, Gr?tzer considered updating the second edition to reflect some exciting and deep developments. He soon realized that to lay the foundation, to survey the contemporary field, to pose research problems, would require more than one volume and more than one person. So Lattice Theory: Foundation provided the foundation. Now we complete this project with Lattice Theory: Special Topics and Applications, in two volumes, written by a distinguished group of experts, to cover some of the vast areas not in Foundation. This second volume is divided into ten chapters contributed by K. Adaricheva, N. Caspard, R. Freese, P. Jipsen, J.B. Nation, N. Reading, H. Rose, L. Santocanale, and F. Wehrung.

Автор: Shaun Ault; Charles Kicey
Название: Counting Lattice Paths Using Fourier Methods
ISBN: 3030266958 ISBN-13(EAN): 9783030266950
Издательство: Springer
Рейтинг:
Цена: 8384.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This monograph introduces a novel and effective approach to counting lattice paths by using the discrete Fourier transform (DFT) as a type of periodic generating function.

Автор: Kalai, Gil; Ziegler, Gunter M. (Eds.)
Название: Polytopes - combinatorics and computation
ISBN: 3764363517 ISBN-13(EAN): 9783764363512
Издательство: Springer
Рейтинг:
Цена: 4884.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: Questions that arose from linear programming and combinatorial optimization have been a driving force for modern polytope theory, such as the diameter questions motivated by the desire to understand the complexity of the simplex algorithm, or the need to study facets for use in cutting plane procedures.

Автор: Winfried Bruns; Joseph Gubeladze
Название: Polytopes, Rings, and K-Theory
ISBN: 1441926178 ISBN-13(EAN): 9781441926173
Издательство: Springer
Рейтинг:
Цена: 23058.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This book examines interactions of polyhedral discrete geometry and algebra. What makes this book unique is the presentation of several central results in all three areas of the exposition - from discrete geometry, to commutative algebra, and K-theory.

Автор: Mcmullen, Peter (university College London)
Название: Geometric regular polytopes
ISBN: 1108489583 ISBN-13(EAN): 9781108489584
Издательство: Cambridge Academ
Рейтинг:
Цена: 19325.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: Regular polytopes and their symmetry have a long history. This book, the first to cover modern theory, explores the subject in depth, introducing new techniques and elementary approaches to familiar ideas. It caters for experienced researchers and also for graduate students in discrete and Euclidean geometry, combinatorics and group theory.

Автор: J?rgen Richter-Gebert
Название: Realization Spaces of Polytopes
ISBN: 3540620842 ISBN-13(EAN): 9783540620846
Издательство: Springer
Рейтинг:
Цена: 4186.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This text collects the results about realization spaces of polytopes. It gives a presentation of the author`s theorem for 4-polytopes. It is a comprehesive survey of the results that have been obtained in this area of study.

Автор: Jozef ?ir??; Robert Jajcay
Название: Symmetries in Graphs, Maps, and Polytopes
ISBN: 3319304496 ISBN-13(EAN): 9783319304496
Издательство: Springer
Рейтинг:
Цена: 16769.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Автор: GrГјnbaum Branko, Ziegler GГјnter M.
Название: Convex polytopes / second edition
ISBN: 0387004246 ISBN-13(EAN): 9780387004242
Издательство: Springer
Рейтинг:
Цена: 11878.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: The appearance of Gruenbaum'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 Gruenbaum 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 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

Автор: Ziegler GГјnter M.
Название: Lectures on polytopes
ISBN: 038794365X ISBN-13(EAN): 9780387943657
Издательство: Springer
Рейтинг:
Цена: 5304.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: Based on a graduate course given at the Technische UniversitГ¤t, 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.

Автор: George E. Andrews; Christian Krattenthaler; Alan K
Название: Lattice Path Combinatorics and Applications
ISBN: 3030111016 ISBN-13(EAN): 9783030111014
Издательство: Springer
Рейтинг:
Цена: 13974.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: The most recent methods in various branches of lattice path and enumerative combinatorics along with relevant applications are nicely grouped together and represented in this research contributed volume. Contributions to this edited volume will be mainly research articles however it will also include several captivating, expository articles (along with pictures) on the life and mathematical work of leading researchers in lattice path combinatorics and beyond. There will be four or five expository articles in memory of Shreeram Shankar Abhyankar and Philippe Flajolet and honoring George Andrews and Lajos Tak?cs. There may be another brief article in memory of Professors Jagdish Narayan Srivastava and Joti Lal Jain.New research results include the kernel method developed by Flajolet and others for counting different classes of lattice paths continues to produce new results in counting lattice paths. The recent investigation of Fishburn numbers has led to interesting counting interpretations and a family of fascinating congruences. Formulas for new methods to obtain the number of Fq-rational points of Schubert varieties in Grassmannians continues to have research interest and will be presented here. Topics to be included are far reaching and will include lattice path enumeration, tilings, bijections between paths and other combinatoric structures, non-intersecting lattice paths, varieties, Young tableaux, partitions, enumerative combinatorics, discrete distributions, applications to queueing theory and other continuous time models, graph theory and applications. Many leading mathematicians who spoke at the conference from which this volume derives, are expected to send contributions including. This volume also presents the stimulating ideas of some exciting newcomers to the Lattice Path Combinatorics Conference series; “The 8th Conference on Lattice Path Combinatorics and Applications” provided opportunities for new collaborations; some of the products of these collaborations will also appear in this book.This book will have interest for researchers in lattice path combinatorics and enumerative combinatorics. This will include subsets of researchers in mathematics, statistics, operations research and computer science. The applications of the material covered in this edited volume extends beyond the primary audience to scholars interested queuing theory, graph theory, tiling, partitions, distributions, etc. An attractive bonus within our book is the collection of special articles describing the top recent researchers in this area of study and documenting the interesting history of who, when and how these beautiful combinatorial results were originally discovered.