Coverart for item
The Resource The dynamical system generated by the 3n + 1 function, Günther J. Wirsching

The dynamical system generated by the 3n + 1 function, Günther J. Wirsching

Label
The dynamical system generated by the 3n + 1 function
Title
The dynamical system generated by the 3n + 1 function
Statement of responsibility
Günther J. Wirsching
Creator
Subject
Language
eng
Summary
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
Member of
Action
digitized
Cataloging source
BUF
http://library.link/vocab/creatorDate
1960-
http://library.link/vocab/creatorName
Wirsching, Günther J.
Dewey number
  • 510 s
  • 512/.73
Illustrations
illustrations
Index
index present
LC call number
QA3
LC item number
.L28 no. 1681
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Lecture notes in mathematics,
Series volume
1681
http://library.link/vocab/subjectName
  • Sequences (Mathematics)
  • Combinatorial probabilities
  • Convergence
  • Suites (Mathématiques)
  • Probabilités combinatoires
  • Convergence (Mathématiques)
  • Combinatorial probabilities
  • Convergence
  • Sequences (Mathematics)
  • Dynamische systemen
  • Reeksen (wiskunde)
  • Sistemas dinamicos
  • Folge <Mathematik>
  • Kombinatorische Wahrscheinlichkeitstheorie
  • Konvergenz
Label
The dynamical system generated by the 3n + 1 function, Günther J. Wirsching
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 141-145) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Table of Contents -- Introduction -- Analysis of the Collatz Graph -- 3-adic Averages of Counting Functions -- An Asymptotically Homogeneous Markov Chain -- Mixing and Predecessor Density -- Symbols -- Bibliography -- Index of Authors -- Index
Control code
159954290
Dimensions
unknown
Extent
1 online resource (vii, 158 pages).
Form of item
online
Isbn
9783540696773
Lccn
97051329
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Reproduction note
Electronic reproduction.
Specific material designation
remote
System control number
(OCoLC)159954290
System details
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Label
The dynamical system generated by the 3n + 1 function, Günther J. Wirsching
Publication
Bibliography note
Includes bibliographical references (pages 141-145) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Table of Contents -- Introduction -- Analysis of the Collatz Graph -- 3-adic Averages of Counting Functions -- An Asymptotically Homogeneous Markov Chain -- Mixing and Predecessor Density -- Symbols -- Bibliography -- Index of Authors -- Index
Control code
159954290
Dimensions
unknown
Extent
1 online resource (vii, 158 pages).
Form of item
online
Isbn
9783540696773
Lccn
97051329
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Reproduction note
Electronic reproduction.
Specific material designation
remote
System control number
(OCoLC)159954290
System details
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.

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