یادداشتهای مربوط به کتابنامه ، واژه نامه و نمایه های داخل اثر
متن يادداشت
Includes bibliographical references (pages 211-221) and index.
یادداشتهای مربوط به مندرجات
متن يادداشت
A happy ending -- Overview -- Configurations -- Subconfigurations -- Properties, parameters, and obstacles -- Computing with configurations -- Complexity theory -- Collinearity -- General position -- General-position partitions -- Convexity -- More on convexity -- Integer realizations -- The stretched geometry of permutations -- Configurations from graphs --Universality -- Stabbing -- The big picture.
بدون عنوان
0
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
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. -- Provided by publisher.
ویراست دیگر از اثر در قالب دیگر رسانه
شماره استاندارد بين المللي کتاب و موسيقي
9781108542975
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Discrete geometry.
موضوع مستند نشده
Discrete geometry.
موضوع مستند نشده
MATHEMATICS-- Geometry-- General.
رده بندی ديویی
شماره
516/
.
11
ويراست
23
رده بندی کنگره
شماره رده
QA640
.
7
نشانه اثر
.
E67
2018
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )