Code: 01566551

The Dynamical System Generated by the 3n+1 Function

Name: The Dynamical System Generated by the 3n+1 Function
Brand: Springer, Berlin
SKU: 01566551
Price: 41.29 EUR
Availability: InStock
Author: Günther J. Wirsching
ISBN: 9783540639701

by Günther J. Wirsching

Language: English
Binding: Paperback
Number of pages: 164
Publisher: Springer, Berlin, 1998
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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.