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The Dynamical System Generated by the 3n+1 Function
Language
English
English
Book
Paperback
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...
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Libristo code: 01566551
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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.
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About the book
Full name
The Dynamical System Generated by the 3n+1 Function
Author
Günther J. Wirsching
Language
English
English
Binding
Book - Paperback
Date of issue
1998
Number of pages
164
EAN
9783540639701
ISBN
3540639705
Libristo code
01566551
Publishers
Springer, Berlin
Weight
298
Dimensions
159 x 234 x 10
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