Автор: Matousek Jiri Название: Lectures on Discrete Geometry ISBN: 0387953736 ISBN-13(EAN): 9780387953731 Издательство: Springer Рейтинг: Цена: 14849 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book is primarily a textbook introduction to various areas of discrete geometry. In each area, it explains several key results and methods, in an accessible and concrete manner. It also contains more advanced material in separate sections and thus it can serve as a collection of surveys in several narrower subfields. The main topics 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; polyhedral combinatorics and high-dimensional convexity; and lastly, embeddings of finite metric spaces into normed spaces.
Автор: Benedetti Riccardo, Petronio Carlo Название: Lectures on Hyperbolic Geometry ISBN: 354055534X ISBN-13(EAN): 9783540555346 Издательство: Springer Рейтинг: Цена: 5933 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The core of the book is the study of the space of the hyperbolic manifolds endowed with the Chabauty and the geometric topology, and in particular the proof of the hypberbolic surgery theorem in dimension three, based on the representation of three-mainfolds as glued ideal tetrahedra. The development of this main theme requires setting a wide background forming the body of the book: the classical geometry of the hyperbolic space, the Fenchel-Nielsen parametrization of the TeichmГјller space, Mostow's rigidity theorem, Margulis' lemma. As a conclusion some features of bounded cohomology, flat fiber bundles and amenable groups are mentioned.
Название: Discrete differential geometry preliminary entry 38 ISBN: 3764386207 ISBN-13(EAN): 9783764386207 Издательство: Springer Рейтинг: Цена: 5939 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This is the first book on a newly emerging field of discrete differential geometry providing an excellent way to access this exciting area. It provides discrete equivalents of the geometric notions and methods of differential geometry, such as notions of curvature and integrability for polyhedral surfaces.
Автор: Devadoss Satyan L., O`Rourke Joseph Название: Discrete and Computational Geometry ISBN: 0691145539 ISBN-13(EAN): 9780691145532 Издательство: Wiley Рейтинг: Цена: 11253 р. Наличие на складе: Поставка под заказ.
Описание: Discrete geometry is a relatively new development in pure mathematics, while computational geometry is an emerging area in applications-driven computer science. Their intermingling has yielded exciting advances in recent years, yet what has been lacking until now is an undergraduate textbook that bridges the gap between the two." Discrete and Computational Geometry" offers a comprehensive yet accessible introduction to this cutting-edge frontier of mathematics and computer science.This book covers traditional topics such as convex hulls, triangulations, and Voronoi diagrams, as well as more recent subjects like pseudotriangulations, curve reconstruction, and locked chains. It also touches on more advanced material, including Dehn invariants, associahedra, quasigeodesics, Morse theory, and the recent resolution of the Poincare conjecture. Connections to real-world applications are made throughout, and algorithms are presented independently of any programming language. This richly illustrated textbook also features numerous exercises and unsolved problems.The essential introduction to discrete and computational geometry Covers traditional topics as well as new and advanced material Features numerous full-color illustrations, exercises, and unsolved problems Suitable for sophomores in mathematics, computer science, engineering, or physics Rigorous but accessible An online solutions manual is available (for teachers only). To obtain access, please e-mail: Vickie_Kearn@press.princeton.edu
Автор: Bertrand Gilles, Imiya Atsushi, Klette Reinhard Название: Digital and Image Geometry / Advanced Lectures ISBN: 3540430792 ISBN-13(EAN): 9783540430797 Издательство: Springer Рейтинг: Цена: 9348 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Images or discrete objects, to be analyzed based on digital image data, need to be represented, analyzed, transformed, recovered etc. These problems have stimulated many interesting developments in theoretical foundations of image processing. This coherent anthology presents 27 state-of-the-art surveys and research papers on digital image geometry and topology. It is based on a winter school held at Dagstuhl Castle, Germany in December 2000 and offers topical sections on topology, representation, geometry, multigrid convergence, and shape similarity and simplification.
Описание: A number of important results in combinatorics, discrete geometry, and theoretical computer science have been proved using algebraic topology. While the results are quite famous, their proofs are not so widely understood. They are scattered in research papers or outlined in surveys, and they often use topological notions not commonly known among combinatorialists or computer scientists.This book is the first textbook treatment of a significant part of such results. It focuses on so-called equivariant methods, based on the Borsuk-Ulam theorem and its generalizations. The topological tools are intentionally kept on a very elementary level (for example, homology theory and homotopy groups are completely avoided). No prior knowledge of algebraic topology is assumed, only a background in undergraduate mathematics, and the required topological notions and results are gradually explained. This text started with a one-semester graduate course the author taught in fall 1993 in Prague. The transcripts of the lectures by the participants served as a basis of the first version. Some years later, a course partially based on that text was taught by GГјnter M. Ziegler in Berlin. The book is based on a thoroughly rewritten version prepared during a pre-doctoral course the author taught at the ETH Zurich in fall 2001.Most of the material was covered in the course: Chapter 1 was assigned as an introductory reading text, and the other chapters were presented in approximately 30 hours of teaching (by 45 minutes), with some omissions throughout and with only a sketchy presentation of the last chapter.
Описание: This book constitutes the thoroughly refereed post-proceedings of the Japanese Conference on Discrete Computational Geometry, JCDCG 2001, held in Tokyo, Japan in November 2001. The 35 revised papers presented were carefully reviewed and selected. Among the topics covered are polygons and polyhedrons, divissible dissections, convex polygon packings, symmetric subsets, convex decompositions, graph drawing, graph computations, point sets, approximation, Delauny diagrams, triangulations, chromatic numbers, complexity, layer routing, efficient algorithms, and illumination problems.
Описание: This book constitutes the thoroughly refereed post-proceedings of the Japanese Conference on Discrete Computational Geometry, JCDCG 2002, held in Tokyo, Japan, in December 2002.The 29 revised full papers presented were carefully selected during two rounds of reviewing and improvement. All current issues in discrete algorithmic geometry are addressed.
Автор: Janzen Beau, Polthier Konrad Название: MESH / A Journey Through Discrete Geometry ISBN: 3540284788 ISBN-13(EAN): 9783540284789 Издательство: Springer Цена: 4448 р. Наличие на складе: Нет в наличии.
Описание: MESH is a mathematical video on polyhedral meshes and their role in geometry, numerics and computer graphics. The film is completely computer-generated using the latest technology and spans the range from ancient Greek mathematics to the area of geometric modelling of today. MESH has already won several science awards worldwide. The authors are Konrad Polthier, a professor of mathematics, and Beau Janzen, a professional film director.The film is an excellent teaching tool for courses on geometry, visualization, scientific computing and geometric modelling at universities and centres for computational science, and can be used in schools, too.
Автор: Janzen Beau, Polthier Konrad Название: MESH / A Journey Through Discrete Geometry ISBN: 3540284842 ISBN-13(EAN): 9783540284840 Издательство: Springer Цена: 4448 р. Наличие на складе: Нет в наличии.
Описание: MESH is a mathematical video on polyhedral meshes and their role in geometry, numerics and computer graphics. The film is completely computer-generated using the latest technology and spans the range from ancient Greek mathematics to the area of geometric modelling of today. MESH has already won several science awards worldwide. The authors are Konrad Polthier, a professor of mathematics, and Beau Janzen, a professional film director.The film is an excellent teaching tool for courses on geometry, visualization, scientific computing and geometric modelling at universities and centres for computational science, and can be used in schools, too.
Описание: This book constitutes the thoroughly refereed post-proceedings of the Japanese Conference on Discrete Computational Geometry, JCDCG 2004, held in Tokyo, Japan in October 2004, to honor JГЎnos Pach on his fiftieth year.The 20 revised full papers presented were carefully selected during two rounds of reviewing and improvement from over 60 talks at the conference. All current issues in discrete algorithmic geometry are addressed.
Автор: Gruber Peter M. Название: Convex and Discrete Geometry ISBN: 3540711325 ISBN-13(EAN): 9783540711322 Издательство: Springer Рейтинг: Цена: 20789 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Convex and Discrete Geometry is an area of mathematics situated between analysis, geometry and discrete mathematics with numerous relations to other areas. The book gives an overview of major results, methods and ideas of convex and discrete geometry and its applications. Besides being a graduate-level introduction to the field, it is a practical source of information and orientation for convex geometers. It should also be of use to people working in other areas of mathematics and in the applied fields.
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