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

Wirsching, Günther J.

ISBN 10: 3540639705 / ISBN 13: 9783540639701

Published by Springer (edition 1998), 1998

The item is brand new, never used or read. It's in perfect condition and may include supplements and/or access codes or come shrink-wrapped. Seller Inventory # 3540639705-10-1

Synopsis:

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.

Synopsis: 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.

Bibliographic Details

Title: The Dynamical System Generated by the 3n+1 ...
Publisher: Springer (edition 1998)
Publication Date: 1998
Binding: Paperback
Condition: New
Edition: 1998.