The Dynamical System Generated by the 3n+1 Function (Lecture Notes in Mathematics, 1681)
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| Management number | 233343385 | Release Date | 2026/06/27 | List Price | $13.90 | Model Number | 233343385 | ||
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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. Read more
| ISBN10 | 3540639705 |
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| ISBN13 | 978-3540639701 |
| Edition | 1998th |
| Language | English |
| Publisher | Springer |
| Dimensions | 6.1 x 0.39 x 9.25 inches |
| Item Weight | 9.6 ounces |
| Print length | 172 pages |
| Publication date | February 19, 1998 |
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