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The Ultimate Challenge: The 3x+1 Problem

Jeffrey C. Lagarias




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 | #757118 in Books |  2011-01-14 | Original language:English |  10.00 x7.00 x1.00l,1.75 | File type: PDF | 348 pages

||0 of 0 people found the following review helpful.| very useful contents, cover not so much|By Christine|The book is a great source for several papers that are otherwise difficult to chase down. In particular the translation of Collatz's "On the Motivation and Origin of the (3n+1)-problem", Everett's "Iteration of the number-theoretic function: f(2n) = n, f(2n+1) = 3n+2", and several others.

There are also some helpfu| |Let me cut to the chase: Lagarias has assembled a fantastic book on a fascinating topic, and it is the type of book that the mathematical community could use more of. The book assembles a variety of articles written about the topic over the last forty years, c

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 its simple appearance, this problem is unsolved. Generalizations of the problem are known to b...

You can specify the type of files you want, for your device.The Ultimate Challenge: The 3x+1 Problem   |  Jeffrey C. Lagarias. Which are the reasons I like to read books. Great story by a great author.

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