Paul Erdos and His Mathematics I+II

In the present two volumes, the editors have collected, besides some personal reminiscences by Paul's old friends, mainly survey articles on his work, and on areas he initiated or worked in.

Contents

• P. BATEMAN, Some personal memories of Paul Erdos
• N. G. DE BRUUN, Remembering Paul Erdos
• A. DVORETZKY, Paul Erdos - In memoriam
• R. K. GUY, My thanks to Erdos Pal
• G. HALASZ, Paul Erdos - Obituary
• D. MAHARAM, Paul Erdos and finitely additive measures
• R. RADO, Paul Erdos is 70
• A. E. ROSS, Remembering Paul
• A. H. STONE, Paul Erdos: Some unpublished anecdotes
• E. G. STRAUS, Paul Erdos is 70
• J. SURANYI, Remembering Pal Erdos
• GY. SZEKERES, Farewell to Paul
• P. TURAN, Pal Erdos is fifty
• V. T. S6s, Turbulent years: Erdos in his correspondence with Turan
• V. BERGELSON AND I. Z. RUZSA, Squarefree numbers, IP sets and ergodic theory
• P. BORWEIN, Paul Erdos and polynomials
• P. ELLIOTT, 'Cast thy bread upon the waters...' A personal view of the mathematician Paul Erdos
• T. ERDELYI, Markov-Bernstein type inequalities for polynomials under Erdos type constraints
• E. EREMENKO AND W. HAYMAN, On the length of lemniscates
• G. FREIMAN, Structure theory of set addition II. Results and problems
• H. FURSTENBERG, From the Erdos-Turan conjecture to ergodic theory - the contribution of combinatorial number theory to dynamics
• K. GYORY, On the number of primitive solutions of Thue equations and Thue inequalities
• H. HALBERSTAM, Erdos and Brun's sieve
• A. J. HlLDEBRAND, Erdos' problems on consecutive integers
• A. Ivic, On certain large additive functions
• J.-P. KAHANE, Almost surely everywhere
• V. KOMORNIK, On expansions in non-integer bases
• J. KUBILIUS, On the remainder term in the limit theorems for additive arithmetical functions
• M. LACZKOVICH, The difference property
• G. LAWLER, Cut times for Brownian motion and random walk
• D. LUBINSKY, A taste of Erdos on interpolation
• H. MAIER, Small gaps in sequences of sifted prime numbers
• E. MANSTAVICIUS, Functional limit theorems in probabilistic number theory
• R. D. MAULDIN, Some problems in set theory, analysis and geometry
• H. L. MONTGOMERY AND K. SOUNDARARAJAN, Beyond pair correlation
• M. B. NATHANSON, On Erdos's elementary method in the asymptotic theory of partitions
• P. NEY, On some work by Paul Erdos on an annihilating particle model
• J.-L. NICOLAS, Statistical properties of partitions
• W. PHILIPP, The profound impact of Paul Erdos on probability limit theory - a personal account
• C. POMERANCE, Ruth-Aaron numbers revisited
• S. PORUBSKY AND J. SCHONHEIM, Covering systems of Paul Erdos Past, present and future
• A. SCHINZEL, Erdos's work on finite sums of unit fractions
• A. SHEKHTMAN, On interpolation by and Banach spaces of polynomials
• Y. G. SHI, A survey on Hermite interpolation of higher order
• V. TOTIK, Potential theoretical methods in approximation
• P. VERTESI, On the Lebesgue function and Lebesgue constant: A tribute to Paul Erdos

• A. ARHANGEL'SKII, Some open problems on homogeneous compacta
• J. BECK, The Erdos Selfridge theorem in positional game theory
• B. BOLLOBAS, The Erdos-Renyi theory of random graphs
• J. A. BONDY, Extremal problems of Paul Erdos on circuits in graph
• W. BROWN AND M. SIMONOVITS, Extremal multigraph and digraph problems
• P. J. CAMERON, Permutations
• GY. ELEKES, SUMS versus PRODUCTS in number theory, algebra and Erdos geometry
• R. FAUDREE AND R. H. SCHELP, A survey of results on the size Ramsey number
• M. FOREMAN, A partition theorem for successor cardinals
• A. S. FRAENKEL, R. J. SIMPSON AND M. S. PATERSON, On Abelian circular squares in binary words
• R. L. GRAHAM AND J. NESETRIL, Ramsey theory and Paul Erdos (Recent results from a historical perspective)
• A. GYARFAS, Erdos problems on irregularities of line sizes and point degrees
• S. JENDROL AND H.-J. Voss, Light subgraphs of graphs embedded in 2-dimensional manifolds of Euler characteristic <0; : A survey
• A. KANAMORI AND D. PINCUS, Does GCH imply AC locally?
• J. A. LARSON, Erdos and ordinals
• R. LAYER, On very large cardinals
• L. LOVASZ AND K. VESZTERGOMBI, Geometric representations of graphs
• E. MAKAI, J. PACK AND J. SPENCER, New results on the distribution of distances determined by separated point sets
• P.P. PALFY, On the density of the set of orders of certain groups
• N. SAUER, Coloring finite substructures of countable structures
• S. SHELAH, You can enter Cantor's paradise!
• M. SlMONOVlTS, Some of my favorite Erdos theorems and related results, theories
• J. SPENCER, Random graphs, sets and tournaments
• L. A. SZEKELY, Erdos on unit distances and the Szemeredi-Trotter theorems
• A. THOMASON, The simplest case of Ramsey's theorem