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Beschreibung
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.
Details
| Verlag | Springer Berlin |
| Ersterscheinung | 19. Februar 1998 |
| Maße | 27.9 cm x 21.6 cm |
| Gewicht | 271 Gramm |
| Format | Softcover |
| ISBN-13 | 9783540639701 |
| Seiten | 164 |
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