The Erdos Distance Problem
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The Erdos Distance Problem by Julia Garibaldi
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.
The authors do an excellent job in bringing together the main techniques and results connected to the Erdős distance problem.. this is a useful book for the reader with sufficient mathematical experience who wishes to learn the principal techniques and results in the Erdős distance problem and related areas." - Mathematical Reviews
"This book...achieves the remarkable feat of providing an extremely accessible treatment of a classic family of research problems. ...The book can be used for a reading course taken by an undergraduate student (parts of the book are accessible for talented high school students as well), or as introductory material for a graduate student who plans to investigate this area further...Highly recommended." - M. Bona, Choice
"This book...achieves the remarkable feat of providing an extremely accessible treatment of a classic family of research problems. ...The book can be used for a reading course taken by an undergraduate student (parts of the book are accessible for talented high school students as well), or as introductory material for a graduate student who plans to investigate this area further...Highly recommended." - M. Bona, Choice
Julia Garibaldi, Alex Iosevich University of Rochester, Rochester, NY, USA
Steven Senger, University of Missouri-Columbia, Columbia, MO, Columbia, MO, USA
Steven Senger, University of Missouri-Columbia, Columbia, MO, Columbia, MO, USA
| SKU | Unavailable |
| ISBN 13 | 9780821852811 |
| ISBN 10 | 0821852817 |
| Title | The Erdos Distance Problem |
| Author | Julia Garibaldi |
| Series | Student Mathematical Library |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | American Mathematical Society |
| Year published | 2011-01-30 |
| Number of pages | 150 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |
