The Dynamical System Generated By The 3n+1 Function(1998 Edition)

Authors:

Gunther J. Wirsching

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ISBN: 3540639705, 978-3540639701

Book publisher: Springer

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Book Price $0 : 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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