Item description for The Dynamical System Generated by the 3n+1 Function (Lecture Notes in Mathematics) by Günther J. Wirsching...
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.
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Est. Packaging Dimensions: Length: 9.21" Width: 6.14" Height: 0.38" Weight: 0.57 lbs.
Release Date Mar 20, 1998
ISBN 3540639705 ISBN13 9783540639701
Availability 126 units. Availability accurate as of Oct 20, 2016 03:50.
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