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Combinatorial Convexity and Algebraic Geometry, 


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Название:  Combinatorial Convexity and Algebraic Geometry
ISBN: 9781461284765
Издательство: Springer
Классификация: ISBN-10: 1461284767
Обложка/Формат: Paperback
Страницы: 372
Вес: 0.55 кг.
Дата издания: 2011
Язык: English
Размер: 234 x 156 x 21
Ссылка на Издательство: Link
Поставляется из: Германии
Описание: The aim of this book is to provide an introduction for students and nonspecialists to a fascinating relation between combinatorial geometry and algebraic geometry, as it has developed during the last two decades. This relation is known as the theory of toric varieties or sometimes as torus embeddings. Chapters I-IV provide a self-contained introduction to the theory of convex poly- topes and polyhedral sets and can be used independently of any applications to algebraic geometry. Chapter V forms a link between the first and second part of the book. Though its material belongs to combinatorial convexity, its definitions and theorems are motivated by toric varieties. Often they simply translate algebraic geometric facts into combinatorial language. Chapters VI-VIII introduce toric va- rieties in an elementary way, but one which may not, for specialists, be the most elegant. In considering toric varieties, many of the general notions of algebraic geometry occur and they can be dealt with in a concrete way. Therefore, Part 2 of the book may also serve as an introduction to algebraic geometry and preparation for farther reaching texts about this field. The prerequisites for both parts of the book are standard facts in linear algebra (including some facts on rings and fields) and calculus. Assuming those, all proofs in Chapters I-VII are complete with one exception (IV, Theorem 5.1). In Chapter VIII we use a few additional prerequisites with references from appropriate texts.

Combinatorial convexity and algebraic geometry

Автор: Ewald
Название: Combinatorial convexity and algebraic geometry
ISBN: 0387947558 ISBN-13(EAN): 9780387947556
Издательство: Springer
Цена: 55850.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Presents an introduction to the theory of convex polytopes and polyhedral sets, to algebraic geometry, and to the connections between these fields, known as the theory of toric varieties. This book covers the theory of polytopes. It describes toric varieties in an elementary way.

Handbook of Combinatorial Optimization. Print + eReference Information   Print + eReference

Название: Handbook of Combinatorial Optimization. Print + eReference Information Print + eReference
ISBN: 1461439752 ISBN-13(EAN): 9781461439752
Издательство: Springer
Рейтинг:
Цена: 2911560.00 T
Наличие на складе: Поставка под заказ.
Описание: Handbook of Combinatorial Optimization

Combinatorial Optimization (algorithms and Combinatorics 21) 5th ed.

Автор: Korte, Bernhard, Vygen, Jens
Название: Combinatorial Optimization (algorithms and Combinatorics 21) 5th ed.
ISBN: 3642244874 ISBN-13(EAN): 9783642244872
Издательство: Springer
Рейтинг:
Цена: 60510.00 T
Наличие на складе: Невозможна поставка.
Описание: This comprehensive textbook on combinatorial optimization places special emphasis on theoretical results and algorithms with provably good performance, in contrast to heuristics. It is based on numerous courses on combinatorial optimization and specialized topics, mostly at graduate level. This book reviews the fundamentals, covers the classical topics (paths, flows, matching, matroids, NP-completeness, approximation algorithms) in detail, and proceeds to advanced and recent topics, some of which have not appeared in a textbook before. Throughout, it contains complete but concise proofs, and also provides numerous exercises and references. This fifth edition has again been updated, revised, and significantly extended, with more than 60 new exercises and new material on various topics, including Cayley's formula, blocking flows, faster b-matching separation, multidimensional knapsack, multicommodity max-flow min-cut ratio, and sparsest cut. Thus, this book represents the state of the art of combinatorial optimization.

Combinatorial Optimization / Polyhedra and Efficiency

Автор: Schrijver Alexander
Название: Combinatorial Optimization / Polyhedra and Efficiency
ISBN: 3540443894 ISBN-13(EAN): 9783540443896
Издательство: Springer
Рейтинг:
Цена: 113660.00 T
Наличие на складе: Поставка под заказ.
Описание: This book offers an in-depth overview of polyhedral methods and efficient algorithms in combinatorial optimization.These methods form a broad, coherent and powerful kernel in combinatorial optimization, with strong links to discrete mathematics, mathematical programming and computer science. In eight parts, various areas are treated, each starting with an elementary introduction to the area, with short, elegant proofs of the principal results, and each evolving to the more advanced methods and results, with full proofs of some of the deepest theorems in the area. Over 4000 references to further research are given, and historical surveys on the basic subjects are presented.

Algorithms in Combinatorial Geometry

Автор: Edelsbrunner Herbert
Название: Algorithms in Combinatorial Geometry
ISBN: 3642648738 ISBN-13(EAN): 9783642648731
Издательство: Springer
Цена: 121070.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.

Combinatorial Aspects of Commutative Algebra and Algebraic Geometry

Автор: Gunnar Fl?ystad; Trygve Johnsen; Andreas Leopold K
Название: Combinatorial Aspects of Commutative Algebra and Algebraic Geometry
ISBN: 3642268285 ISBN-13(EAN): 9783642268281
Издательство: Springer
Рейтинг:
Цена: 153720.00 T
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Описание: The Abel Symposium 2009 "Combinatorial aspects of Commutative Algebra and Algebraic Geometry", held at Voss, Norway, featured talks by leading researchers in the field. This is the proceedings of the Symposium, presenting contributions on syzygies, tropical geometry, Boij-Soederberg theory, Schubert calculus, and quiver varieties.

Excursions into combinatorial geometry

Автор: Martini, Horst Boltyanski, V.g. Soltan, P.s.
Название: Excursions into combinatorial geometry
ISBN: 3540613412 ISBN-13(EAN): 9783540613411
Издательство: Springer
Рейтинг:
Цена: 51200.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Discusses the combinatorial geometry of convex bodies in finite-dimensional spaces. The text includes a general introduction to geometric convexity and investigates d-convexity and H-convexity. Open research problems are considered in detail.

Algorithms in combinatorial geometry

Автор: Edelsbrunner
Название: Algorithms in combinatorial geometry
ISBN: 354013722X ISBN-13(EAN): 9783540137221
Издательство: Springer
Рейтинг:
Цена: 121070.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book offers a modern approach to computational geo- metry, an area thatstudies the computational complexity of geometric problems. Combinatorial investigations play an important role in this study.

Finite Geometry and Combinatorial Applications

Автор: Ball
Название: Finite Geometry and Combinatorial Applications
ISBN: 1107107997 ISBN-13(EAN): 9781107107991
Издательство: Cambridge Academ
Рейтинг:
Цена: 155230.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: For students and researchers interested in algebraic combinatorics, this book not only provides an introduction to the geometries arising from vector spaces over finite fields but also shows how these geometries can be applied to various combinatorial objects. More than 100 exercises and solutions are provided.


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