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The Dynamical System Generated by the 3n+1 Function (Lecture Notes in Mathematics, 1681, Band 1681) - Softcover

Wirsching, Günther J.

 
9783540639701: The Dynamical System Generated by the 3n+1 Function (Lecture Notes in Mathematics, 1681, Band 1681)
Softcover
ISBN 10: 3540639705 ISBN 13: 9783540639701
Verlag: Springer, 2009

Inhaltsangabe

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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Verlag
Springer
Erscheinungsdatum
2009
Sprache
Englisch
ISBN 10 
3540639705
ISBN 13 
9783540639701
Einband
Taschenbuch
Anzahl der Seiten
172
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