The ultimate challenge : the 3x+1 problem
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The work The ultimate challenge : the 3x+1 problem represents a distinct intellectual or artistic creation found in Boston University Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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The ultimate challenge : the 3x+1 problem
Resource Information
The work The ultimate challenge : the 3x+1 problem represents a distinct intellectual or artistic creation found in Boston University Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 The ultimate challenge : the 3x+1 problem
 Title remainder
 the 3x+1 problem
 Statement of responsibility
 Jeffrey C. Lagarias, editor
 Subject

 CollatzProblem
 CollatzProblem
 Computer science  Theory of computing  None of the above, but in this section
 Dynamical systems and ergodic theory  Ergodic theory  Relations with number theory and harmonic analysis
 Folge
 Harmonic analysis
 Harmonic analysis
 Harmonic analysis
 Harmonic analysis
 Iteration
 MarkovKette
 Number theory  Sequences and sets  Recurrences
 Number theory  Sequences and sets  Special sequences and polynomials
 Polynom
 Polynomials
 Polynomials
 Polynomials
 Polynomials
 Reihe
 Sequences (Mathematics)
 Sequences (Mathematics)
 Sequences (Mathematics)
 Sequences (Mathematics)
 Language
 eng
 Summary
 The 3x+1 problem, or Collatz problem, concerns the following seemingly innocent arithmetic procedure applied to integers: If an integer x is odd then "multiply by three and add one", while if it is even then "divide by two." The 3x+1 problem asks whether, starting from any positive integer, repeating this procedure over and over will eventually reach the number 1. Despite this simple appearance, this problem is unsolved. Generalizations of the problem are known to be undecidable, and the problem itself is believed to be extraordinarily difficult. This book reports on what is known on this problem. It consists of a collection of papers, which can be read independently of each other. The book begins with two introductory papers, one giving an overview and current status, and the second giving the history and basic results on the problem. These are followed by three survey papers on the problem, relating it to number theory, and to logic and the theory of computation. The next paper presents results on probabilistic models for behavior of the iteration. This is followed by a paper giving the latest computational results on the problem. Finally, the book reprints six early papers on the problem and related questions.  from Back Cover
 Cataloging source
 DLC
 Illustrations
 illustrations
 Index
 index present
 LC call number
 QA292
 LC item number
 .U48 2010
 Literary form
 non fiction
 Nature of contents
 bibliography
Context
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