By Ronald L. Graham, Paul Erdös, Jaroslav Nesetfil

This can be the main accomplished survey of the mathematical lifetime of the mythical Paul Erdős (1913-1996), essentially the most flexible and prolific mathematicians of our time. For the 1st time, the entire major parts of Erdős' study are lined in one undertaking. due to overwhelming reaction from the mathematical neighborhood, the undertaking now occupies over one thousand pages, prepared into volumes. those volumes comprise either excessive point examine articles in addition to key articles that survey the various cornerstones of Erdős' paintings, each one written by way of a number one international professional within the box. a unique bankruptcy "Early Days", infrequent photos, and artwork with regards to Erdős supplement this remarkable assortment. a different contribution is the bibliography on Erdős' courses: the main entire ever released. This re-creation, devoted to the a hundredth anniversary of Paul Erdős' beginning, comprises updates on a number of the articles from the 2 volumes of the 1st version, numerous new articles from favourite mathematicians, a brand new advent, extra biographical information regarding Paul Erdős, and an up-to-date record of publications.

The first quantity comprises the original bankruptcy "Early Days", which positive aspects own stories of Paul Erdős through a few his colleagues. the opposite 3 chapters hide quantity conception, random tools, and geometry. All of those chapters are basically up-to-date, such a lot particularly the geometry bankruptcy that covers the hot resolution of the matter at the variety of certain distances in finite planar units, which was once the most well-liked of Erdős' favourite geometry problems.

Content point » Research

Keywords » Erdős lifestyles argument - Erdős–Turán - Paul Erdős - Ramsey idea - additive illustration features - extremal thought - prevalence difficulties - sum-product phenomena

Related matters » Geometry & Topology - arithmetic - quantity conception and Discrete arithmetic - likelihood concept and Stochastic approaches