000 04335nam a22005295i 4500
001 978-3-642-39286-3
003 DE-He213
005 20160302171552.0
007 cr nn 008mamaa
008 140124s2013 gw | s |||| 0|eng d
020 _a9783642392863
_9978-3-642-39286-3
024 7 _a10.1007/978-3-642-39286-3
_2doi
050 4 _aQA164-167.2
072 7 _aPBV
_2bicssc
072 7 _aMAT036000
_2bisacsh
082 0 4 _a511.6
_223
245 1 0 _aErdős Centennial
_h[electronic resource] /
_cedited by László Lovász, Imre Z. Ruzsa, Vera T. Sós.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c2013.
300 _aX, 720 p. 33 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aBolyai Society Mathematical Studies,
_x1217-4696 ;
_v25
505 0 _aContents -- 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.
520 _aPaul 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.
650 0 _aMathematics.
650 0 _aMathematical logic.
650 0 _aNumber theory.
650 0 _aProbabilities.
650 0 _aCombinatorics.
650 1 4 _aMathematics.
650 2 4 _aCombinatorics.
650 2 4 _aNumber Theory.
650 2 4 _aProbability Theory and Stochastic Processes.
650 2 4 _aMathematical Logic and Formal Languages.
700 1 _aLovász, László.
_eeditor.
700 1 _aRuzsa, Imre Z.
_eeditor.
700 1 _aSós, Vera T.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642392856
830 0 _aBolyai Society Mathematical Studies,
_x1217-4696 ;
_v25
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-642-39286-3
912 _aZDB-2-SMA
999 _c201221
_d201221