The Ultimate Challenge: The 3x+1 Problem

ISBN 13: 9780821849408

The Ultimate Challenge: The 3x+1 Problem

Valutazione media 5
( su 3 valutazioni fornite da GoodReads )
9780821849408: The Ultimate Challenge: The 3x+1 Problem

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 to logic and the theory of computation. The next paper presents results on probabilistic models for behavior of the iteration. This is followed by a paper giving the latest computational results on the problem, which verify its truth for $x < 5.4 \cdot 10^{18}$. The book also reprints six early papers on the problem and related questions, by L. Collatz, J. H. Conway, H. S. M. Coxeter, C. J. Everett, and R. K. Guy, each with editorial commentary. The book concludes with an annotated bibliography of work on the problem up to the year 2000.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

I migliori risultati di ricerca su AbeBooks

1.

ISBN 10: 0821849409 ISBN 13: 9780821849408
Nuovi Quantità: 4
Da
BWB
(Valley Stream, NY, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Condizione libro: New. Depending on your location, this item may ship from the US or UK. Codice libro della libreria 97808218494080000000

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 61,41
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
In U.S.A.
Destinazione, tempi e costi

2.

Editore: American Mathematical Society, United States (2011)
ISBN 10: 0821849409 ISBN 13: 9780821849408
Nuovi Rilegato Quantità: 1
Da
The Book Depository
(London, Regno Unito)
Valutazione libreria
[?]

Descrizione libro American Mathematical Society, United States, 2011. Hardback. Condizione libro: New. 254 x 190 mm. Language: English . Brand New Book. 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 to logic and the theory of computation. The next paper presents results on probabilistic models for behavior of the iteration. This is followed by a paper giving the latest computational results on the problem, which verify its truth for $x < 5.4 cdot 10^{18}$. The book also reprints six early papers on the problem and related questions, by L. Collatz, J. H. Conway, H. S. M. Coxeter, C. J. Everett, and R. K. Guy, each with editorial commentary. The book concludes with an annotated bibliography of work on the problem up to the year 2000. Codice libro della libreria AAN9780821849408

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 66,56
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

3.

Editore: American Mathematical Society, United States (2011)
ISBN 10: 0821849409 ISBN 13: 9780821849408
Nuovi Rilegato Quantità: 1
Da
The Book Depository US
(London, Regno Unito)
Valutazione libreria
[?]

Descrizione libro American Mathematical Society, United States, 2011. Hardback. Condizione libro: New. 254 x 190 mm. Language: English . Brand New Book. 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 to logic and the theory of computation. The next paper presents results on probabilistic models for behavior of the iteration. This is followed by a paper giving the latest computational results on the problem, which verify its truth for $x < 5.4 cdot 10^{18}$. The book also reprints six early papers on the problem and related questions, by L. Collatz, J. H. Conway, H. S. M. Coxeter, C. J. Everett, and R. K. Guy, each with editorial commentary. The book concludes with an annotated bibliography of work on the problem up to the year 2000. Codice libro della libreria AAN9780821849408

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 66,61
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

4.

Jeffrey C. Lagarias
Editore: American Mathematical Society (2011)
ISBN 10: 0821849409 ISBN 13: 9780821849408
Nuovi Quantità: 4
Da
Books2Anywhere
(Fairford, GLOS, Regno Unito)
Valutazione libreria
[?]

Descrizione libro American Mathematical Society, 2011. HRD. Condizione libro: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Codice libro della libreria CE-9780821849408

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 57,06
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 10,41
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

5.

Jeffrey C. Lagarias
Editore: American Mathematical Society
ISBN 10: 0821849409 ISBN 13: 9780821849408
Nuovi Rilegato Quantità: 2
Da
THE SAINT BOOKSTORE
(Southport, Regno Unito)
Valutazione libreria
[?]

Descrizione libro American Mathematical Society. Hardback. Condizione libro: new. BRAND NEW, The Ultimate Challenge: The 3X"plus"1 Problem, Jeffrey C. Lagarias, 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 to logic and the theory of computation. The next paper presents results on probabilistic models for behavior of the iteration. This is followed by a paper giving the latest computational results on the problem, which verify its truth for $x < 5.4 \cdot 10^{18}$. The book also reprints six early papers on the problem and related questions, by L. Collatz, J. H. Conway, H. S. M. Coxeter, C. J. Everett, and R. K. Guy, each with editorial commentary. The book concludes with an annotated bibliography of work on the problem up to the year 2000. Codice libro della libreria B9780821849408

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 60,85
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 6,87
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

6.

Lagarias, Jeffrey C. (Editor)
Editore: Amer Mathematical Society (2011)
ISBN 10: 0821849409 ISBN 13: 9780821849408
Nuovi Rilegato Quantità: 2
Da
Revaluation Books
(Exeter, Regno Unito)
Valutazione libreria
[?]

Descrizione libro Amer Mathematical Society, 2011. Hardcover. Condizione libro: Brand New. reprint edition. 348 pages. 10.00x7.50x0.90 inches. In Stock. Codice libro della libreria __0821849409

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 74,32
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 6,94
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

7.

Jeffrey C. Lagarias, Jeffrey C. Lagarias (Editor)
Editore: American Mathematical Society (2011)
ISBN 10: 0821849409 ISBN 13: 9780821849408
Nuovi Rilegato Quantità: 1
Da
Ergodebooks
(RICHMOND, TX, U.S.A.)
Valutazione libreria
[?]

Descrizione libro American Mathematical Society, 2011. Hardcover. Condizione libro: New. Reprint. Codice libro della libreria DADAX0821849409

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 78,51
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 3,67
In U.S.A.
Destinazione, tempi e costi

8.

Jeffrey C. Lagarias
Editore: American Mathematical Society (2011)
ISBN 10: 0821849409 ISBN 13: 9780821849408
Nuovi Rilegato Quantità: 3
Da
Murray Media
(North Miami Beach, FL, U.S.A.)
Valutazione libreria
[?]

Descrizione libro American Mathematical Society, 2011. Hardcover. Condizione libro: New. Codice libro della libreria P110821849409

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 97,26
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 2,75
In U.S.A.
Destinazione, tempi e costi

9.

Jeffrey C. Lagarias
ISBN 10: 0821849409 ISBN 13: 9780821849408
Nuovi Rilegato Quantità: 1
Da
AussieBookSeller
(SILVERWATER, NSW, Australia)
Valutazione libreria
[?]

Descrizione libro 2011. Hardcover. Condizione libro: New. 261mm x 182mm x. Hardcover. 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.Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. 344 pages. 0.776. Codice libro della libreria 9780821849408

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 97,47
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 25,78
Da: Australia a: U.S.A.
Destinazione, tempi e costi

10.

Jeffrey C. Lagarias
Editore: American Mathematical Society (2011)
ISBN 10: 0821849409 ISBN 13: 9780821849408
Nuovi Rilegato Quantità: 1
Da
Media Mall
(Fyshwick, ACT, Australia)
Valutazione libreria
[?]

Descrizione libro American Mathematical Society, 2011. Hardcover. Condizione libro: New. 15.2 x 22.9 cm. Our orders are sent from our warehouse locally or directly from our international distributors to allow us to offer you the best possible price and delivery time. Book. Codice libro della libreria MM-60848774

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 119,03
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 10,96
Da: Australia a: U.S.A.
Destinazione, tempi e costi