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Item Details
Title: THE ERDOS DISTANCE PROBLEM
By: Julia Garibaldi, Steven Senger, Alex Iosevich
Format: Paperback

List price: £52.00


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ISBN 10: 0821852817
ISBN 13: 9780821852811
Publisher: AMERICAN MATHEMATICAL SOCIETY
Pub. date: 15 January, 2011
Edition: New ed.
Series: Student Mathematical Library 56
Pages: 161
Synopsis: The Erd s 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 Erd s 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 Erd s combinatorics.
Illustrations: Illustrations
Publication: US
Imprint: American Mathematical Society
Returns: Returnable
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