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This is the most comprehensive survey of the mathematical life of the legendary Paul Erdös (1913-1996), one of the most versatile and prolific mathematicians of our time. For the first time, all the main areas of Erdös' 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 Erdös' work, each written by a leading world specialist in the field. A special chapter "Early Days", rare photographs, and art related to Erdös complement this striking collection. A unique contribution is the bibliography on Erdös' publications: the most comprehensive ever published. This new edition, dedicated to the 100th anniversary of Paul Erdös' 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 Erdös, and an updated list of publications.
The first volume contains the unique chapter "Early Days", which features personal memories of Paul Erdös 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 Erdös' favorite geometry problems.
Über den Autor / die Autorin
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.
Zusammenfassung
Here is a comprehensive overview of the mathematical life of the legendary Paul Erdos (1913-1996), one of the most versatile and prolific mathematicians of our time. This first volume features personal memories of Paul Erdos by a number of his colleagues.
