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040			_aNISER LIBRARY _beng _cNISER LIBRARY
082			_a519.1 _bGAR-E
100			_aGaribaldi, Julia
245			_aErdös distance problem
260			_aIndia : _bUniversities Press, _c2025.
300			_axii, 150 p. : _bill. ; _c22 cm.
490			_aStudent mathematical library ; _vv. 56
504			_aIncludes bibliographical references and index.
520			_aThe Erdős problem asks, What is the smallest possible number of distinct distances between points of a large finite subset of the Euclidean space in dimensions two and higher? The main goal of this book is to introduce the reader to the techniques, ideas, and consequences related to the Erdős problem. The authors introduce these concepts in a concrete and elementary way that allows a wide audience—from motivated high school students interested in mathematics to graduate students specializing in combinatorics and geometry—to absorb the content and appreciate its far-reaching implications. In the process, the reader is familiarized with a wide range of techniques from several areas of mathematics and can appreciate the power of the resulting symbiosis. The book is heavily problem oriented, following the authors' firm belief that most of the learning in mathematics is done by working through the exercises. Many of these problems are recently published results by mathematicians working in the area. The order of the exercises is designed both to reinforce the material presented in the text and, equally importantly, to entice the reader to leave all worldly concerns behind and launch head first into the multifaceted and rewarding world of Erdős combinatorics.
521			_aReadership: Undergraduates, graduate students, and research mathematicians interested in geometric combinatorics and various topics in general combinatorics.
650			_aCombinatorial analysis
650			_aNumber theory
650			_aHarmonic analysis
650			_aGeometry
700			_aIosevich, Alex
700			_aSenger, Steven
856			_3Table of Contents _uhttps://www.ams.org/bookstore/pspdf/stml-56-toc.pdf?_gl=1*hoy1ig*_ga*NzkyMDE0ODczLjE3NTAwNDYzMjU.*_ga_26G4XFTR63*czE3NTAxMzI2MzckbzIkZzEkdDE3NTAxMzI3NDQkajUzJGwwJGgw
856			_3Reviews _uhttps://www.goodreads.com/book/show/11328302-the-erdos-distance-problem-student-mathematical-library-vol-56#CommunityReviews
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