Asymptotics in one form or another are part of the landscape for every mathematician. The objective of this book is to present the ideas of how to approach asymptotic problems that arise in discrete mathematics, analysis of algorithms, and number theory. A broad range of topics is covered, including distribution of prime integers, Erd's Magic, random graphs, Ramsey numbers, and asymptotic geometry.
The author is a disciple of Paul Erd?s, who taught him about Asymptopia. Primes less than n, graphs with v vertices, random walks of t steps - Erd's was fascinated by the limiting behavior as...