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 ErdősRényi Random Graph Process / Béla Bollobás and Oliver Riordan  Around the Sumproduct 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, Thirtyfour 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 farreaching 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, 19131996.


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, 19131996, editor


Bolyai János Matematikai Társulat.

ISBN 
3642392865 (electronic bk.) 

9783642392863 (electronic bk.) 
