Articles liés à Asymptopia

Asymptopia - Couverture souple

Spencer, Joel

 
9781470409043: Asymptopia
Couverture souple
ISBN 10 : 1470409046 ISBN 13 : 9781470409043
Editeur : American Mathematical Society, 2014

Synopsis

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 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 , n 2 , lnn n , lnn ? ? ? ? , 1 nlnn 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.

Asymptopia is a beautiful world. Enjoy!

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l'auteur

Joel Spencer, New York University, NY.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
American Mathematical Society
Date d'édition
2014
Langue
anglais
ISBN 10 
1470409046
ISBN 13 
9781470409043
Reliure
Broché
Nombre de pages
183
Coordonnées du fabricant
non disponible
Personne responsable
non disponible