rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Erdős Centennial
  name:
    name part: Lovász, László.
    role:
      role term: editor.
  name:
    name part: Ruzsa, Imre Z.
    role:
      role term: editor.
  name:
    name part: Sós, Vera T.
    role:
      role term: editor.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2013
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: X, 720 p. 33 illus. online resource.
  abstract: 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.
  table of contents: Contents -- Preface -- Alon, N.: Paul Erdös and Probabilistic Reasoning -- Benjamini, I.: Euclidean vs. Graph Metric -- Bollobas, B. and Riordan, O.: The Phase Transition in the Erdös–Rényi Random Graph Process -- Bourgain, J.: Around the Sum-product Phenomenon -- Breuillard, E., Green, B. and Tao, T.: Small Doubling in Groups -- Diamond, H. G.: Erdös and Multiplicative Number Theory -- Füredi, Z. and Simonovits, M.: The History of Degenerate (Bipartite) Extremal Graph Problems -- Gowers, W. T.: Erdös and Arithmetic Progressions -- Graham, R. L.: Paul Erdös and Egyptian Fractions -- Györy, K.: Perfect Powers in Products with Consecutive Terms from Arithmetic Progressions -- Komjáth, P.: Erdös’s Work on Infinite Graphs -- Kunen, K.: The Impact of Paul Erd˝os on Set Theory -- Mauldin, R. D.: Some Problems and Ideas of Erdös in Analysis and Geometry -- Montgomery, H. L.: L2 Majorant Principles -- Nesetril, J.: A Combinatorial Classic – Sparse Graphs with High Chromatic Number -- Nguyen, H. H. and Vu, V. H.: Small Ball Probability, Inverse Theorems, and Applications -- Pach, J.: The Beginnings of Geometric Graph Theory -- Pintz, J.: Paul Erdös and the Difference of Primes -- Pollack, P. and Pomerance, C.: Paul Erdös and the Rise of Statistical Thinking in Elementary Number Theory -- Rödl, V. and Schacht, M.: Extremal Results in Random Graphs.-Schinzel, A.: Erdös’s Work on the Sum of Divisors Function and on Euler’s Function -- Shalev, A.: Some Results and Problems in the Theory of Word Maps -- Tenenbaum, G.: Some of Erdös’ Unconventional Problems in Number Theory, Thirty-four Years Later -- Totik, V.: Erdös on Polynomials -- Vertesi, P.: Paul Erdös and Interpolation: Problems, Results, New Developments.
  note: edited by László Lovász, Imre Z. Ruzsa, Vera T. Sós.
  subject:
    topic: Mathematics
  subject:
    topic: Mathematical logic
  subject:
    topic: Number theory
  subject:
    topic: Probabilities
  subject:
    topic: Combinatorics
  subject:
    topic: Mathematics
  subject:
    topic: Combinatorics
  subject:
    topic: Number Theory
  subject:
    topic: Probability Theory and Stochastic Processes
  subject:
    topic: Mathematical Logic and Formal Languages
  classification: QA164-167.2
  classification: 511.6
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Bolyai Society Mathematical Studies, 25
  identifier: 9783642392863
  identifier: http://dx.doi.org/10.1007/978-3-642-39286-3
  record info:
    record creation date: 140124
    record change date: 20151030201140.0
    record identifier: 978-3-642-39286-3