The Dynamical System Generated by the 3n+1 Function (Lecture Notes in Mathematics)

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9783540639701: The Dynamical System Generated by the 3n+1 Function (Lecture Notes in Mathematics)
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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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Book Description Springer Berlin Heidelberg Feb 1998, 1998. Taschenbuch. Condition: Neu. Neuware - 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. 172 pp. Englisch. Seller Inventory # 9783540639701

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Book Description Springer. Paperback. Condition: New. 164 pages. Dimensions: 9.2in. x 6.1in. x 0.6in.The 3n1 function T is defined by T(n)n2 for n even, and T(n)(3n1)2 for n odd. The famous 3n1 conjecture, which remains open, states that, for any starting number n0, iterated application of T to n eventually produces 1. After a survey of theorems concerning the 3n1 problem, the main focus of the book are 3n1 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 3n1 problem, and in the wealth of mathematical ideas employed to attack it. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Paperback. Seller Inventory # 9783540639701

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