1# Library to Find Best eBook for Read
Author : Jacob E. Goodman
Release : 2005-08-08
Genre : Computers
Kind : eBook
Book Rating : 626/5 ( reviews)
Book Synopsis Combinatorial and Computational Geometry by : Jacob E. Goodman
Download or read book Combinatorial and Computational Geometry written by Jacob E. Goodman. This book was released on 2005-08-08. Available in PDF, EPUB and Kindle. Book excerpt: This 2005 book deals with interest topics in Discrete and Algorithmic aspects of Geometry.
Author : Herbert Edelsbrunner
Release : 1987-07-31
Genre : Computers
Kind : eBook
Book Rating : 221/5 ( reviews)
Book Synopsis Algorithms in Combinatorial Geometry by : Herbert Edelsbrunner
Download or read book Algorithms in Combinatorial Geometry written by Herbert Edelsbrunner. This book was released on 1987-07-31. Available in PDF, EPUB and Kindle. Book excerpt: Computational geometry as an area of research in its own right emerged in the early seventies of this century. Right from the beginning, it was obvious that strong connections of various kinds exist to questions studied in the considerably older field of combinatorial geometry. For example, the combinatorial structure of a geometric problem usually decides which algorithmic method solves the problem most efficiently. Furthermore, the analysis of an algorithm often requires a great deal of combinatorial knowledge. As it turns out, however, the connection between the two research areas commonly referred to as computa tional geometry and combinatorial geometry is not as lop-sided as it appears. Indeed, the interest in computational issues in geometry gives a new and con structive direction to the combinatorial study of geometry. It is the intention of this book to demonstrate that computational and com binatorial investigations in geometry are doomed to profit from each other. To reach this goal, I designed this book to consist of three parts, acorn binatorial part, a computational part, and one that presents applications of the results of the first two parts. The choice of the topics covered in this book was guided by my attempt to describe the most fundamental algorithms in computational geometry that have an interesting combinatorial structure. In this early stage geometric transforms played an important role as they reveal connections between seemingly unrelated problems and thus help to structure the field.
Author : János Pach
Release : 2011-10-18
Genre : Mathematics
Kind : eBook
Book Rating : 369/5 ( reviews)
Book Synopsis Combinatorial Geometry by : János Pach
Download or read book Combinatorial Geometry written by János Pach. This book was released on 2011-10-18. Available in PDF, EPUB and Kindle. Book excerpt: A complete, self-contained introduction to a powerful and resurgingmathematical discipline . Combinatorial Geometry presents andexplains with complete proofs some of the most important resultsand methods of this relatively young mathematical discipline,started by Minkowski, Fejes Toth, Rogers, and Erd???s. Nearly halfthe results presented in this book were discovered over the pasttwenty years, and most have never before appeared in any monograph.Combinatorial Geometry will be of particular interest tomathematicians, computer scientists, physicists, and materialsscientists interested in computational geometry, robotics, sceneanalysis, and computer-aided design. It is also a superb textbook,complete with end-of-chapter problems and hints to their solutionsthat help students clarify their understanding and test theirmastery of the material. Topics covered include: * Geometric number theory * Packing and covering with congruent convex disks * Extremal graph and hypergraph theory * Distribution of distances among finitely many points * Epsilon-nets and Vapnik--Chervonenkis dimension * Geometric graph theory * Geometric discrepancy theory * And much more
Author : Herbert Edelsbrunner
Release : 2012-12-06
Genre : Computers
Kind : eBook
Book Rating : 686/5 ( reviews)
Book Synopsis Algorithms in Combinatorial Geometry by : Herbert Edelsbrunner
Download or read book Algorithms in Combinatorial Geometry written by Herbert Edelsbrunner. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: Computational geometry as an area of research in its own right emerged in the early seventies of this century. Right from the beginning, it was obvious that strong connections of various kinds exist to questions studied in the considerably older field of combinatorial geometry. For example, the combinatorial structure of a geometric problem usually decides which algorithmic method solves the problem most efficiently. Furthermore, the analysis of an algorithm often requires a great deal of combinatorial knowledge. As it turns out, however, the connection between the two research areas commonly referred to as computa tional geometry and combinatorial geometry is not as lop-sided as it appears. Indeed, the interest in computational issues in geometry gives a new and con structive direction to the combinatorial study of geometry. It is the intention of this book to demonstrate that computational and com binatorial investigations in geometry are doomed to profit from each other. To reach this goal, I designed this book to consist of three parts, acorn binatorial part, a computational part, and one that presents applications of the results of the first two parts. The choice of the topics covered in this book was guided by my attempt to describe the most fundamental algorithms in computational geometry that have an interesting combinatorial structure. In this early stage geometric transforms played an important role as they reveal connections between seemingly unrelated problems and thus help to structure the field.
Author : Kurt Mehlhorn
Release : 1999-11-11
Genre : Computers
Kind : eBook
Book Rating : 291/5 ( reviews)
Book Synopsis LEDA by : Kurt Mehlhorn
Download or read book LEDA written by Kurt Mehlhorn. This book was released on 1999-11-11. Available in PDF, EPUB and Kindle. Book excerpt: LEDA is a library of efficient data types and algorithms and a platform for combinatorial and geometric computing on which application programs can be built. In each of the core computer science areas of data structures, graph and network algorithms, and computational geometry, LEDA covers all (and more) that is found in the standard textbooks. LEDA is the first such library; it is written in C++ and is available on many types of machine. Whilst the software is freely available worldwide and is installed at hundreds of sites, this is the first book devoted to the library. Written by the main authors of LEDA, it is the definitive account, describing how the system is constructed and operates and how it can be used. The authors supply ample examples from a range of areas to show how the library can be used in practice, making the book essential for all workers in algorithms, data structures and computational geometry.
