This book is a tribute to Paul Erd\H{o}s, the wandering
mathematician once described as the "prince of problem solvers and
the absolute monarch of problem posers." It examines -- within the
context of his unique personality and lifestyle -- the legacy of
open problems he left to the world after his death in 1996.
Unwilling to succumb to the temptations of money and position,
Erd\H{o}s never had a home and never held a job. His "home" was a
bag or two containing all his belongings and a record of the
collective activities of the mathematical community. His "job" was
one at which he excelled: identifying a fundamental roadblock in
some particular line of approach and capturing it in a well-chosen,
often innocent-looking problem, whose solution would likewise
provide insight into the underlying theory. By cataloguing the
unsolved problems of Erd\H{o}s in a comprehensive and
well-documented volume, the authors hope to continue the work of an
unusual and special man who fundamentally influenced the field of
mathematics.
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