Combinatorial Maps
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Author | : Guillaume Damiand |
Publisher | : CRC Press |
Total Pages | : 407 |
Release | : 2014-09-19 |
Genre | : Computers |
ISBN | : 1482206528 |
Download Combinatorial Maps Book in PDF, Epub and Kindle
A Versatile Framework for Handling Subdivided Geometric Objects Combinatorial Maps: Efficient Data Structures for Computer Graphics and Image Processing gathers important ideas related to combinatorial maps and explains how the maps are applied in geometric modeling and image processing. It focuses on two subclasses of combinatorial maps: n-Gmaps and n-maps. Suitable for researchers and graduate students in geometric modeling, computational and discrete geometry, computer graphics, and image processing and analysis, the book presents the data structures, operations, and algorithms that are useful in handling subdivided geometric objects. It shows how to study data structures for the explicit representation of subdivided geometric objects and describes operations for handling the structures. The book also illustrates results of the design of data structures and operations.
Author | : Victor Guillemin |
Publisher | : Springer Science & Business Media |
Total Pages | : 158 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461202698 |
Download Moment Maps and Combinatorial Invariants of Hamiltonian Tn-spaces Book in PDF, Epub and Kindle
The action of a compact Lie group, G, on a compact sympletic manifold gives rise to some remarkable combinatorial invariants. The simplest and most interesting of these is the moment polytopes, a convex polyhedron which sits inside the dual of the Lie algebra of G. One of the main goals of this monograph is to describe what kinds of geometric information are encoded in this polytope. This book is addressed to researchers and can be used as a semester text.
Author | : Roger C. Lyndon |
Publisher | : Springer |
Total Pages | : 354 |
Release | : 2015-03-12 |
Genre | : Mathematics |
ISBN | : 3642618960 |
Download Combinatorial Group Theory Book in PDF, Epub and Kindle
From the reviews: "This book [...] defines the boundaries of the subject now called combinatorial group theory. [...] it is a considerable achievement to have concentrated a survey of the subject into 339 pages. [...] a valuable and welcome addition to the literature, containing many results not previously available in a book. It will undoubtedly become a standard reference." Mathematical Reviews
Author | : Michael Henle |
Publisher | : Courier Corporation |
Total Pages | : 340 |
Release | : 1994-01-01 |
Genre | : Mathematics |
ISBN | : 9780486679662 |
Download A Combinatorial Introduction to Topology Book in PDF, Epub and Kindle
Excellent text covers vector fields, plane homology and the Jordan Curve Theorem, surfaces, homology of complexes, more. Problems and exercises. Some knowledge of differential equations and multivariate calculus required.Bibliography. 1979 edition.
Author | : Guillaume Damiand |
Publisher | : CRC Press |
Total Pages | : 402 |
Release | : 2014-09-19 |
Genre | : Computers |
ISBN | : 1482206536 |
Download Combinatorial Maps Book in PDF, Epub and Kindle
A Versatile Framework for Handling Subdivided Geometric ObjectsCombinatorial Maps: Efficient Data Structures for Computer Graphics and Image Processing gathers important ideas related to combinatorial maps and explains how the maps are applied in geometric modeling and image processing. It focuses on two subclasses of combinatorial maps: n-Gmaps an
Author | : Herbert John Ryser |
Publisher | : American Mathematical Soc. |
Total Pages | : 154 |
Release | : 1963-12-31 |
Genre | : Combinatorial analysis |
ISBN | : 161444014X |
Download Combinatorial Mathematics Book in PDF, Epub and Kindle
Herbert J. Ryser is widely regarded as one of the major figures in combinatorics in the 20th century. His Combinatorial Mathematics is a classic which has enticed many young mathematics students into this area.
Author | : Michał Misiurewicz |
Publisher | : American Mathematical Soc. |
Total Pages | : 122 |
Release | : 1991 |
Genre | : Mathematics |
ISBN | : 0821825135 |
Download Combinatorial Patterns for Maps of the Interval Book in PDF, Epub and Kindle
This extensive paper is concerned with the implications of the existence of a given finite invariant set in a continuous map of an interval. Reductions of patterns are introduced, a combinatorial shadowing theorem is proved, the relations between positive and negative representatives of a given cycle is elucidated, and maximal patterns and permutations of a given degree are characterized.
Author | : Eugene Lawler |
Publisher | : Courier Corporation |
Total Pages | : 404 |
Release | : 2012-10-16 |
Genre | : Mathematics |
ISBN | : 048614366X |
Download Combinatorial Optimization Book in PDF, Epub and Kindle
Perceptive text examines shortest paths, network flows, bipartite and nonbipartite matching, matroids and the greedy algorithm, matroid intersections, and the matroid parity problems. Suitable for courses in combinatorial computing and concrete computational complexity.
Author | : Luca Lionni |
Publisher | : Springer |
Total Pages | : 233 |
Release | : 2018-08-01 |
Genre | : Science |
ISBN | : 3319960237 |
Download Colored Discrete Spaces Book in PDF, Epub and Kindle
This book provides a number of combinatorial tools that allow a systematic study of very general discrete spaces involved in the context of discrete quantum gravity. In any dimension D, we can discretize Euclidean gravity in the absence of matter over random discrete spaces obtained by gluing families of polytopes together in all possible ways. These spaces are then classified according to their curvature. In D=2, it results in a theory of random discrete spheres, which converge in the continuum limit towards the Brownian sphere, a random fractal space interpreted as a quantum random space-time. In this limit, the continuous Liouville theory of D=2 quantum gravity is recovered. Previous results in higher dimension regarded triangulations, converging towards a continuum random tree, or gluings of simple building blocks of small sizes, for which multi-trace matrix model results are recovered in any even dimension. In this book, the author develops a bijection with stacked two-dimensional discrete surfaces for the most general colored building blocks, and details how it can be used to classify colored discrete spaces according to their curvature. The way in which this combinatorial problem arrises in discrete quantum gravity and random tensor models is discussed in detail.
Author | : Adrian Tanasa |
Publisher | : Oxford University Press |
Total Pages | : 409 |
Release | : 2021 |
Genre | : Computers |
ISBN | : 0192895494 |
Download Combinatorial Physics Book in PDF, Epub and Kindle
The goal of the book is to use combinatorial techniques to solve fundamental physics problems, and vice-versa, to use theoretical physics techniques to solve combinatorial problems.