The primary intent of the book is to introduce an array of
beautiful problems in a variety of subjects quickly, pithily and
completely rigorously to graduate students and advanced
undergraduates. The book takes a number of specific problems and
solves them, the needed tools developed along the way in the
context of the particular problems. It treats a melange of topics
from combinatorial probability theory, number theory, random graph
theory and combinatorics. The problems in this book involve the
asymptotic analysis of a discrete construct as some natural
parameter of the system tends to infinity. Besides bridging
discrete mathematics and mathematical analysis, the book makes a
modest attempt at bridging disciplines. The problems were selected
with an eye toward accessibility to a wide audience, including
advanced undergraduate students. The book could be used for a
seminar course in which students present the lectures."
General
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