The dynamical system generated by the 3n + 1 function. Günther J. Wirsching / Lecture notes in mathematics ; 1681

Wirsching, Günther

ISBN 10: 3540639705 / ISBN 13: 9783540639701

Published by Berlin ; Heidelberg ; Singapore ; Tokyo ; New York ; Barcelona ; Budapest ; Hong Kong ; London ; Milan ; Paris ; Santa Clara : Springer, 1998

About this Item

VII, 158 S. : graph. Darst. Kanten leicht berieben, Besitzervermerk auf fliegendem Blatt, vereinzelte Anstreichungen im Text (Textmarker), sonst gut. L16-5 ISBN 9783540639701 Wichtiger Hinweis: Aufgrund der EPR-Regelung zur Zeit KEIN Versand in EU-Länder. Due to EPR, there is currently no delivery to EU-countries. Sprache: Englisch Gewicht in Gramm: 450.

Seller Inventory # 143256

Bibliographic Details

• Title: The dynamical system generated by the 3n + 1 function. Günther J. Wirsching / Lecture notes in mathematics ; 1681
• Publisher: Berlin ; Heidelberg ; Singapore ; Tokyo ; New York ; Barcelona ; Budapest ; Hong Kong ; London ; Milan ; Paris ; Santa Clara : Springer
• Publication Date: 1998
• Language: English
• ISBN 10: 3540639705
• ISBN 13: 9783540639701
• Binding: 23,5*15,5 cm. OBroschur.
• Weight: 450 grams
• Seller catalogs:
  • Wissenschaft

About this title

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.