The Ultimate Challenge
The $3x+1$ Problem
$203.20
- Paperback
344 pages
- Release Date
1 January 2010
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 its simple appearance, this problem is unsolved. Generalizations of the problem are known to be undecidable, a…
Book Details
| ISBN-13: | 9781470472894 |
|---|---|
| ISBN-10: | 1470472899 |
| Author: | Jeffrey C. Lagarias |
| Publisher: | American Mathematical Society |
| Imprint: | American Mathematical Society |
| Format: | Paperback |
| Number of Pages: | 344 |
| Release Date: | 1 January 2010 |
| Weight: | 646g |
| Dimensions: | 180mm x 257mm |
| Series: | Miscellaneous Book Series |
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Critics Review
“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, coming to the material from different directions and using different flavors of mathematics, all in service of trying to solve this problem.” —MAA Reviews
”[This book] contains…two surveys by editor Lagarias…the world’s foremost expert. [It also contains] a tremendously useful, richly annotated bibliography…[to] round out the volume. ….A must for all libraries. Highly recommended.” —D.V. Feldman, Choice
”[T]his book is a thorough account of an open and challenging problem.” —Vincente Muqoz, The European Mathematical Society
Jeffrey C. Lagarias
Jeffrey C. Lagarias, University of Michigan, Ann Arbor, MI.
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