Erdős centennial László Lovász, Imre Z. Ruzsa, Vera T. Sós (eds.)

Format:

Book

Contributor:

Lovász, László, 1948- editor.

Ruzsa, Imre Z., 1953- editor.

Sós, Vera T., editor.

Erdős, Paul, 1913-1996, editor.

Bolyai János Matematikai Társulat

Series:

Bolyai Society mathematical studies 25

Language:

English

Subjects (All):

Erdős, Paul, 1913-1996.

Erdős, Paul.

Mathematicians--Hungary--Biography.

Mathematicians.

Jewish mathematicians--Hungary--Biography.

Jewish mathematicians.

Mathematics.

Hungary.

Medical Subjects:

Mathematics.

Genre:

Biographies

Physical Description:

1 online resource

Place of Publication:

Berlin Springer JBMS, János Bolyai Mathematical Society [2013]

Language Note:

English

System Details:

text file

PDF

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

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

Notes:

Includes bibliographical references

Print version record

Other Format:

Print version Erdős centennial

ISBN:

9783642392863

3642392865

OCLC:

869825923

Access Restriction:

Restricted for use by site license