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020			_a9781470438432
040			_aNISER LIBRARY _beng _cNISER LIBRARY
041			_aEnglish
082			_a511.35 _bSPE-A
100			_aSpencer, Joel
245			_aAsymptopia
260			_aRhode Island : _bAmerican Mathematical Society, _c2014.
300			_axiv, 183p. : _billustrations ; _c22 cm.
490			_aStudent mathematical library ; _vvolume 71
504			_aIncludes bibliographical references (pages 179-180) and index.
520			_aAsymptotics 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 n, graphs with v vertices, random walks of t 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 nlnn, n2, lnnn, lnn−−−√, 1nlnn all have distinct personalities. Erdős knew these functions as personal friends. It is the author's hope that these insights may be passed on, that the reader may similarly feel which function has the right temperament for a given task. This book is aimed at strong undergraduates, though it is also suitable for particularly good high school students or for graduates wanting to learn some basic techniques.
650			_aCombinatorial analysis.
650			_aCombinatorial enumeration problems.
650			_aAsymptotic expansions.
650			_aRamsey numbers _xAsymptotic theory.
650		7	_aCombinatorics -- Instructional exposition (textbooks, tutorial papers, etc.).
650		7	_aCombinatorics -- Enumerative combinatorics -- Asymptotic enumeration.
650		7	_aCombinatorics -- Graph theory -- Random graphs.
650		7	_aComputer science -- Algorithms -- Analysis of algorithms.
650		7	_aNumber theory -- Elementary number theory -- Primes.
650		7	_aProbability theory and stochastic processes -- Combinatorial probability -- Combinatorial probability.
700			_aFlorescu, Laura.
856			_3Table of Contents _uhttps://www.ams.org/bookstore/pspdf/stml-71-toc.pdf?_gl=1*vq4u69*_ga*OTY4OTA1OTY3LjE3MTc5OTU1MTY.*_ga_26G4XFTR63*MTcxOTQwMDQxMy40LjEuMTcxOTQwNTAwMC4wLjAuMA..
856			_3Index _uhttps://www.ams.org/bookstore/pspdf/stml-71-index.pdf?_gl=1*1xhghh7*_ga*OTY4OTA1OTY3LjE3MTc5OTU1MTY.*_ga_26G4XFTR63*MTcxOTQwMDQxMy40LjEuMTcxOTQwNTY5MC4wLjAuMA..
856			_3Reviews _uhttps://www.goodreads.com/book/show/21558680-asymptopia-student-mathematical-library?from_search=true&from_srp=true&qid=x602SuiWZw&rank=1#CommunityReviews
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