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The Dynamical System Generated by the 3n+1 Function

by Günther J. Wirsching
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Current price ₹4,204.00
Original price ₹4,289.00
Original price ₹4,289.00
Original price ₹4,289.00
(-2%)
₹4,204.00
Current price ₹4,204.00

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Book cover type: Paperback
  • ISBN13: 9783540639701
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 164
  • Original Price: GBP 32.99
  • Language: English
  • Edition: 1998
  • Item Weight: 254 grams
  • BISAC Subject(s): Number Theory

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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