The Mathematics of Paul Erdos II
This is the most comprehensive survey of the mathematical life of the legendary Paul Erdos (1913-1996), one of the most versatile and prolific mathematicians of our time. For the first time, all the main areas of Erdos' research are covered in a single project. Because of overwhelming response from the mathematical community, the project now occupies over 1000 pages, arranged into two volumes. These volumes contain both high level research articles as well as key articles that survey some of the cornerstones of Erdos' work, each written by a leading world specialist in the field. A special chapter "Early Days", rare photographs, and art related to Erdos complement this striking collection. A unique contribution is the bibliography on Erdos' publications: the most comprehensive ever published. This new edition, dedicated to the 100th anniversary of Paul Erdos' birth, contains updates on many of the articles from the two volumes of the first edition, several new articles from prominent mathematicians, a new introduction, and more biographical information about Paul Erdos with an updated list of publications.The second volume contains chapters on graph theory and combinatorics, extremal and Ramsey theory, and a section on infinity that covers Erdos' research on set theory. All of these chapters are essentially updated, particularly the extremal theory chapter that contains a survey of flag algebras, a new technique for solving extremal problems.
New and extensively revised edition with approximately 100 pages of new materialContains new articles from prominent mathematicians such as Larry Guth, Alexander Razborov and Joel SpencerIncludes new introductions to all the individual parts, with an update of scientific activity in the last 20 yearsThe first book bringing together articles surveying the legacy of Paul Erdos in all fields of his activityFeatures Paul Erdos' influence in graph theory and combinatorics, extremal theory, Ramsey theory, and infinite set theory, with the most general collection of recent surveys available