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{ "item_title" : "The Dynamical System Generated by the 3n+1 Function", "item_author" : [" Günther J. Wirsching "], "item_description" : "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.", "item_img_path" : "https://covers2.booksamillion.com/covers/bam/3/54/063/970/3540639705_b.jpg", "price_data" : { "retail_price" : "44.99", "online_price" : "44.99", "our_price" : "44.99", "club_price" : "44.99", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }
The Dynamical System Generated by the 3n+1 Function|Günther J. Wirsching

The Dynamical System Generated by the 3n+1 Function

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Overview

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.

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Details

  • ISBN-13: 9783540639701
  • ISBN-10: 3540639705
  • Publisher: Springer
  • Publish Date: February 1998
  • Dimensions: 9.21 x 6.14 x 0.38 inches
  • Shipping Weight: 0.56 pounds
  • Page Count: 164

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