The Dynamical System Generated by the 3n + 1 Function by G.J. Wirsching
---------------------------------------------------------------
Author: G.J. Wirsching
Page Count: 172 pages
Published Date: 01 Apr 1998
Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Publication Country: Berlin, Germany
Language: English
ISBN: 9783540639701
File Name: The.Dynamical.System.Generated.by.the.3n.+.1.Function.pdf
Download Link: The Dynamical System Generated by the 3n + 1 Function
---------------------------------------------------------------
The 3n+1 function T is defined by T(n)=n/2 for n even, and T(n)=(3n+1)/2 for n odd. The famous 3n+1 conjecture, which remains open, states that, for any starting number n>0, iterated application of T to n eventually produces 1. After a survey of theorems concerning the 3n+1 problem, the main focus of the book are 3n+1 predecessor sets. These are analyzed using, e.g., elementary number theory, combinatorics, asymptotic analysis, and abstract measure theory. The book is written for any mathematician interested in the 3n+1 problem, and in the wealth of mathematical ideas employed to attack it.
Read online The Dynamical System Generated by the 3n + 1 Function
Buy The Dynamical System Generated by the 3n + 1 Function
Download The Dynamical System Generated by the 3n + 1 Function ebook, pdf, djvu, epub, mobi, fb2, zip, rar, torrent
Download to iPad/iPhone/iOS, B&N nook The Dynamical System Generated by the 3n + 1 Function ebook, pdf, djvu, epub, mobi, fb2, zip, rar, torrent