Items related to The Ultimate Challenge: The 3x+1 Problem
Synopsis
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, and the problem itself is believed to be extraordinarily difficult. This book reports on what is known on this problem. It consists of a collection of papers, which can be read independently of each other. The book begins with two introductory papers, one giving an overview and current status, and the second giving history and basic results on the problem. These are followed by three survey papers on the problem, relating it to number theory and dynamical systems, to Markov chains and ergodic theory, and
"synopsis" may belong to another edition of this title.
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
"About this title" may belong to another edition of this title.
Search results for The Ultimate Challenge: The 3x+1 Problem
Stock Image
The Ultimate Challenge: The 3x 1 Problem (Monograph Books)
Published by
Amer Mathematical Society, 2011
ISBN 10: 0821849409
ISBN 13: 9780821849408
Used
Hardcover
Seller: medimops, Berlin, Germany
Seller rating 5 out of 5 stars
Condition: very good. Gut/Very good: Buch bzw. Schutzumschlag mit wenigen Gebrauchsspuren an Einband, Schutzumschlag oder Seiten. / Describes a book or dust jacket that does show some signs of wear on either the binding, dust jacket or pages. Seller Inventory # M00821849409-V
Buy Used
US$ 114.79
US$ 11.37 shipping
Ships from Germany to U.S.A.
Ships from Germany to U.S.A.
Quantity: 1 available