Editors:
- New and extensively revised edition with approximately 100 pages of new material
- Contains new articles from prominent mathematicians such as Larry Guth, Alexander Razborov and Joel Spencer
- Includes new introductions to all the individual parts, with an update of scientific activity in the last 20 years
- The first book bringing together articles surveying the legacy of Paul Erdos in all fields of his activity
- Features Paul Erdos' influence in number theory, random structures and geometry, with the most general collection of recent surveys available
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Table of contents (36 chapters)
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Front Matter
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II. Number Theory
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Front Matter
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About this book
This is the most comprehensive survey of the mathematical life of the legendary Paul Erdős (1913-1996), one of the most versatile and prolific mathematicians of our time. For the first time, all the main areas of Erdős' research are covered in a single project. Because of overwhelming response from the mathematical community, the project now occupies over 1000 pages, arranged into two volumes. These volumes contain both high level research articles as well as key articles that survey some of the cornerstones of Erdős' work, each written by a leading world specialist in the field. A special chapter "Early Days", rare photographs, and art related to Erdős complement this striking collection. A unique contribution is the bibliography on Erdős' publications: the most comprehensive ever published. This new edition, dedicated to the 100th anniversary of Paul Erdős' birth, contains updates on many of the articles from the two volumes of the first edition, several new articles from prominent mathematicians, a new introduction, more biographical information about Paul Erdős, and an updated list of publications.
The first volume contains the unique chapter "Early Days", which features personal memories of Paul Erdős by a number of his colleagues. The other three chapters cover number theory, random methods, and geometry. All of these chapters are essentially updated, most notably the geometry chapter that covers the recent solution of the problem on the number of distinct distances in finite planar sets, which was the most popular of Erdős' favorite geometry problems.
Editors and Affiliations
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Dept. Comp. Sci. & Engineering, University of California, San Diego, La Jolla, USA
Ronald L. Graham
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Department of Applied Mathematics, Charles University Department of Applied Mathematics, Prague, Czech Republic
Jaroslav Nešetřil
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Department of Mathematics, Iowa State University, Ames, USA
Steve Butler
About the editors
Ronald L. Graham is currently Professor of Mathematics and Irwin and Joan Jacobs Professor of Computer and Information Sciences at the University of California, San Diego, and Chief Scientist at the California Institute for Telecommunications and Information Technology.
Jaroslav Nešetřil is currently Professor of Mathematics and Director of the Institute of Theoretical Computer Science at Charles University, Prague.
Steve Butler is currently Assistant Professor of Mathematics at Iowa State University.
Bibliographic Information
Book Title: The Mathematics of Paul Erdős I
Editors: Ronald L. Graham, Jaroslav Nešetřil, Steve Butler
DOI: https://doi.org/10.1007/978-1-4614-7258-2
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Science+Business Media, LLC, part of Springer Nature 2013
Hardcover ISBN: 978-1-4614-7257-5Published: 03 August 2013
Softcover ISBN: 978-1-4899-9533-9Published: 23 August 2015
eBook ISBN: 978-1-4614-7258-2Published: 04 August 2013
Edition Number: 2
Number of Pages: XIX, 563
Number of Illustrations: 42 b/w illustrations, 2 illustrations in colour
Topics: Mathematics, general, Number Theory, Convex and Discrete Geometry, Probability Theory and Stochastic Processes