- Published on the occasion of Paul Erdös 100th anniversary
- This volume describes the way in which problems raised by Paul Erdös and topics initiated by him continue to flourish today
- Contains contributions by outstanding researchers in these areas
- The papers include extensive surveys of classical results as well as of new developments
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- About this book
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Paul Erdös was one of the most influential mathematicians of the twentieth century, whose work in number theory, combinatorics, set theory, analysis, and other branches of mathematics has determined the development of large areas of these fields. In 1999, a conference was organized to survey his work, his contributions to mathematics, and the far-reaching impact of his work on many branches of mathematics. On the 100th anniversary of his birth, this volume undertakes the almost impossible task to describe the ways in which problems raised by him and topics initiated by him (indeed, whole branches of mathematics) continue to flourish. Written by outstanding researchers in these areas, these papers include extensive surveys of classical results as well as of new developments.
- Reviews
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From the book reviews:
“Paul Erdős was a very influential mathematician. … The volume is an invaluable source for those students and researchers who are touched by Erdős’ mathematics.” (Péter Hajnal, Acta Scientiarum Mathematicarum (Szeged), Vol. 80 (1-2), 2014)
- Table of contents (25 chapters)
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Paul Erdős and Probabilistic Reasoning
Pages 11-33
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Euclidean vs. Graph Metric
Pages 35-57
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The Phase Transition in the Erdős-Rényi Random Graph Process
Pages 59-110
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Around the Sum-product Phenomenon
Pages 111-128
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Small Doubling in Groups
Pages 129-151
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Table of contents (25 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Erdös Centennial
- Editors
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- László Lovász
- Imre Ruzsa
- Vera T. Sós
- Series Title
- Bolyai Society Mathematical Studies
- Series Volume
- 25
- Copyright
- 2013
- Publisher
- Springer-Verlag Berlin Heidelberg
- Copyright Holder
- Springer-Verlag Berlin Heidelberg
- eBook ISBN
- 978-3-642-39286-3
- DOI
- 10.1007/978-3-642-39286-3
- Hardcover ISBN
- 978-3-642-39285-6
- Series ISSN
- 1217-4696
- Edition Number
- 1
- Number of Pages
- X, 720
- Topics