The Erdos Distance Problem (Student Mathematical Library) - Softcover

Garibaldi, Julia; Senger, Steven; Iosevich, Alex

Softcover

ISBN 10: 0821852817 ISBN 13: 9780821852811

Publisher: American Mathematical Society, 2011

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.

About this title

About the Author

Julia Garibaldi, Alex Iosevich University of Rochester, Rochester, NY, USA

Steven Senger, University of Missouri-Columbia, Columbia, MO, Columbia, MO, USA

Edition details

• Publisher: American Mathematical Society
• Publication date: 2011
• Language: English
• ISBN 10: 0821852817
• ISBN 13: 9780821852811
• Binding: Paperback
• Number of pages: 150