Stock Image

The Ultimate Challenge: The 3x+1 Problem

Jeffrey C. Lagarias

9 ratings by Goodreads
ISBN 10: 0821849409 / ISBN 13: 9780821849408
Published by American Mathematical Society, 2011
Condition: Good Hardcover
From Books Express (Portsmouth, NH, U.S.A.)

AbeBooks Seller Since August 14, 2015 Seller Rating 4-star rating

Quantity Available: 1

Buy Used
Price: US$ 174.36 Convert Currency
Shipping: Free Within U.S.A. Destination, rates & speeds
Add to basket

30 Day Return Policy

About this Item

Ships with Tracking Number! INTERNATIONAL WORLDWIDE Shipping available. May not contain Access Codes or Supplements. May be ex-library. Shipping & Handling by region. Buy with confidence, excellent customer service!. Bookseller Inventory # 0821849409

Ask Seller a Question

Bibliographic Details

Title: The Ultimate Challenge: The 3x+1 Problem

Publisher: American Mathematical Society

Publication Date: 2011

Binding: Hardcover

Book Condition: Good

Edition: Reprint.

About this title


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


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<br /><br />[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<br /><br />[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.

Store Description

Visit Seller's Storefront

Terms of Sale:

Buy with confidence. Excellent customer service. 30 day return policy.

Books Express LLC
1465 Woodbury Ave
Portsmouth NH 03801

Shipping Terms:

Standard and expedited shipping options include shipping and handling costs. Default shipping is by USPS Media Mail and frequently USPS Priority Mail or UPS Ground is used. Books should arrive within 10-14 business days for expedited shipping, and 20-30 business days for standard shipping. Standard shipping can on occasion take up to 30 days for delivery.

List this Seller's Books

Payment Methods
accepted by seller

Visa Mastercard American Express

Check Money Order PayPal Invoice Bank Draft Bank/Wire Transfer Direct Debit (Personally Authorized Payment)