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Forbidden Configurations in Discrete Geometry

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Release : 2018-05-17
Genre : Computers
Kind : eBook
Book Rating : 972/5 ( reviews)

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Book Synopsis Forbidden Configurations in Discrete Geometry by : David Eppstein

Download or read book Forbidden Configurations in Discrete Geometry written by David Eppstein. This book was released on 2018-05-17. Available in PDF, EPUB and Kindle. Book excerpt: This book surveys the mathematical and computational properties of finite sets of points in the plane, covering recent breakthroughs on important problems in discrete geometry, and listing many open problems. It unifies these mathematical and computational views using forbidden configurations, which are patterns that cannot appear in sets with a given property, and explores the implications of this unified view. Written with minimal prerequisites and featuring plenty of figures, this engaging book will be of interest to undergraduate students and researchers in mathematics and computer science. Most topics are introduced with a related puzzle or brain-teaser. The topics range from abstract issues of collinearity, convexity, and general position to more applied areas including robust statistical estimation and network visualization, with connections to related areas of mathematics including number theory, graph theory, and the theory of permutation patterns. Pseudocode is included for many algorithms that compute properties of point sets.

Research Problems in Discrete Geometry

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Release : 2005-09-07
Genre : Mathematics
Kind : eBook
Book Rating : 159/5 ( reviews)

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Book Synopsis Research Problems in Discrete Geometry by : Peter Brass

Download or read book Research Problems in Discrete Geometry written by Peter Brass. This book was released on 2005-09-07. Available in PDF, EPUB and Kindle. Book excerpt: This book is the result of a 25-year-old project and comprises a collection of more than 500 attractive open problems in the field. The largely self-contained chapters provide a broad overview of discrete geometry, along with historical details and the most important partial results related to these problems. This book is intended as a source book for both professional mathematicians and graduate students who love beautiful mathematical questions, are willing to spend sleepless nights thinking about them, and who would like to get involved in mathematical research.

Discrete Geometry

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Release : 2003-02-04
Genre : Mathematics
Kind : eBook
Book Rating : 615/5 ( reviews)

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Book Synopsis Discrete Geometry by : Andras Bezdek

Download or read book Discrete Geometry written by Andras Bezdek. This book was released on 2003-02-04. Available in PDF, EPUB and Kindle. Book excerpt: Celebrating the work of Professor W. Kuperberg, this reference explores packing and covering theory, tilings, combinatorial and computational geometry, and convexity, featuring an extensive collection of problems compiled at the Discrete Geometry Special Session of the American Mathematical Society in New Orleans, Louisiana. Discrete Geometry analyzes packings and coverings with congruent convex bodies , arrangements on the sphere, line transversals, Euclidean and spherical tilings, geometric graphs, polygons and polyhedra, and fixing systems for convex figures. This text also offers research and contributions from more than 50 esteemed international authorities, making it a valuable addition to any mathematical library.

Lectures on Discrete Geometry

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Release : 2002-05-02
Genre : Mathematics
Kind : eBook
Book Rating : 731/5 ( reviews)

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Book Synopsis Lectures on Discrete Geometry by : Ji?í Matoušek

Download or read book Lectures on Discrete Geometry written by Ji?í Matoušek. This book was released on 2002-05-02. Available in PDF, EPUB and Kindle. Book excerpt: The main topics in this introductory text to discrete geometry 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, and embeddings of finite metric spaces into normed spaces. In each area, the text explains several key results and methods.

Lectures on Discrete Geometry

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Release : 2014-09-01
Genre :
Kind : eBook
Book Rating : 403/5 ( reviews)

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Book Synopsis Lectures on Discrete Geometry by : J. Matou Ek

Download or read book Lectures on Discrete Geometry written by J. Matou Ek. This book was released on 2014-09-01. Available in PDF, EPUB and Kindle. Book excerpt:

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