Asymptopia

Asymptopia

by Spencer, Joel H.

Type Book
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"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."--Provided by publisher.

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Title Statements

  • Full title :Asymptopia / Joel Spencer with Laura Florescu.

Summary

"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."--Provided by publisher.

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Edition Statements

  • Publication Date:2014.

Publication Statements

The Physical Object

  • Description:xiv, 183 pages : : illustrations ; : 22 cm.

Edition Identifiers

  • ISBN:9781470409043, 1470409046
  • oclc:ocn865574788
  • LC Classification:QA164
  • Dewey Decimal:511/.4

Table of Contents

An infinity of primes -- Stirling's formula -- Big oh, little oh, and all that -- Integration in asymptopia -- From integrals to sums -- Asymptotics of binomial coefficients -- Unicyclic graphs -- Ramsey numbers -- Large deviations -- Primes -- Asymptotic geometry -- Algorithms -- Potpourri -- Really big numbers!

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Subjects

Analyse combinatoire Asymptotic expansions Combinatorial analysis Combinatorial enumeration problems Combinatorics -- Enumerative combinator… Combinatorics ... Instructional exposit… Combinatorics & graph theory Computer science -- Algorithms Développements asymptotiques Nombres de Ramsey -- Théorie asymptotiq… Number theory -- Elementary number theo… Probability theory and stochastic proce… Problèmes combinatoires d'énumération Ramsey numbers -- Asymptotic theory

Writers

Spencer, Joel H. Florescu, Laura

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