Author Description

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, Erdős Magic, random graphs, Ramsey numbers, and asymptotic geometry. The author is a disciple of Paul Erdős, who taught him about Asymptopia. Primes less than img style="width:10px;height:7px;margin-right:0.021em" src="http://cdn.mathjax.org/mathjax/latest/fonts/HTML-CSS/TeX/png/Math/Italic/120/006E.png?rev=2.4-beta-2", graphs with img style="width:8px;height:7px;margin-right:0.019em" src="http://cdn.mathjax.org/mathjax/latest/fonts/HTML-CSS/TeX/png/Math/Italic/120/0076.png?rev=2.4-beta-2" vertices, random walks of img style="width:6px;height:10px;margin-right:0.032em" src="http://cdn.mathjax.org/mathjax/latest/fonts/HTML-CSS/TeX/png/Math/Italic/120/0074.png?rev=2.4-beta-2" steps--Erdős was fascinated by the limiting behavior as the variables approached, but never reached, infinity. Asymptotics is very much an art. The various functions img style="width:10px;height:7px;margin-right:0.021em" src="http://cdn.mathjax.org/mathjax/latest/fonts/HTML-CSS/TeX/png/Math/Italic/120/006E.png?rev=2.4-beta-2"img style="width:5px;height:12px;margin-right:0.016em" src="http://cdn.mathjax.org/mathjax/latest/fonts/HTML-CSS/TeX/png/Main/Regular/120/006C.png?rev=2.4-beta-2"img style="width:10px;height:8px;margin-right:0.015em" src="http://cdn.mathjax.org/mathjax/latest/fonts/HTML-CSS/TeX/png/Main/Regular/120/006E.png?rev=2.4-beta-2"img style="width:10px;height:7px;margin-right:0.021em" src="http://cdn.mathjax.org/mathjax/latest/fonts/HTML-CSS/TeX/png/Math/Italic/120/006E.png?rev=2.4-beta-2", img style="width:10px;height:7px;margin-right:0.021em" src="http://cdn.mathjax.org/mathjax/latest/f