Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
612-822-4611

  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
The Dynamical System Generated by the 3n+1 Function

The Dynamical System Generated by the 3n+1 Function

Wirsching, Günther J.

Paperback

Series: Lecture Notes in Mathematics, Book 1681

General ComputersGeneral Mathematics

ISBN10: 3540639705
ISBN13: 9783540639701
Publisher: Springer Nature
Published: Feb 19 1998
Pages: 164
Weight: 0.56
Height: 0.38 Width: 6.14 Depth: 9.21
Language: English
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.

Also in

General Mathematics

View All