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Title Erdős centennial / László Lovász, Imre Z. Ruzsa, Vera T. Sós (eds.)
Published Berlin : Springer : JBMS, János Bolyai Mathematical Society, [2013]
©2013
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Description 1 online resource (730 pages) : illustrations
Series Bolyai Society mathematical studies ; 25
Bolyai Society mathematical studies ; 25
Contents Paul Erdős and Probabilistic Reasoning / Noga Alon -- Euclidean vs. Graph Metric / Itai Benjamini -- The Phase Transition in the Erdős-Rényi Random Graph Process / Béla Bollobás and Oliver Riordan -- Around the Sum-product Phenomenon / Jean Bourgain -- Small Doubling in Groups / Emmanuel Breuillard, Ben Green and Terence Tao -- Erdős and Multiplicative Number Theory / Harold G. Diamond -- The History of Degenerate (Bipartite) Extremal Graph Problems / Zoltán Füredi and Miklós Simonovits -- Erdős and Arithmetic Progressions / W. Timothy Gowers -- Paul Erdős and Egyptian Fractions / Ronald L. Graham -- Perfect Powers in Products with Consecutive Terms from Arithmetic Progressions, II / Kálmán Győry -- Erdős's Work on Infinite Graphs / Péter Komjáth -- The Impact of Paul Erdős on Set Theory / Kenneth Kunen -- Some Problems and Ideas of Erdős in Analysis and Geometry / R. Daniel Mauldin -- L 2 Majorant Principles / Hugh L. Montgomery -- A Combinatorial Classic -- Sparse Graphs with High Chromatic Number / Jaroslav Nešetřil -- Small Ball Probability, Inverse Theorems, and Applications / Hoi H. Nguyen and Van H. Vu -- The Beginnings of Geometric Graph Theory / János Pach -- Paul Erdős and the Difference of Primes / János Pintz -- Paul Erdős and the Rise of Statistical Thinking in Elementary Number Theory / Paul Pollack and Carl Pomerance -- Extremal Results in Random Graphs / Vojtěch Rödl and Mathias Schacht -- Erdős's Work on the Sum of Divisors Function and on Euler's Function / Andrzej Schinzel -- Some Results and Problems in the Theory of Word Maps / Aner Shalev -- Some of Erdős' Unconventional Problems in Number Theory, Thirty-four Years Later / Gérald Tenenbaum -- Erdős on Polynomials / Vilmos Totik -- Paul Erdős and Interpolation: Problems, Results, New Developments / Peter Vertesi
Summary Annotation 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
Bibliography Includes bibliographical references
Notes Print version record
Subject Erdős, Paul, 1913-1996.
Mathematicians -- Hungary -- Biography.
Jewish mathematicians -- Hungary -- Biography.
Mathematics.
Genre/Form Biography.
Biographies.
Form Electronic book
Author Lovász, László, 1948- editor
Ruzsa, Imre, editor
Sós, Vera T., editor
Erdős, Paul, 1913-1996, editor
Bolyai János Matematikai Társulat.
ISBN 3642392865 (electronic bk.)
9783642392863 (electronic bk.)