Tous nos rayons

Déjà client ? Identifiez-vous

Nouveau client ?

CRÉER VOTRE COMPTE
Votre panier contient 0 article
0,00 €
Oval track and other permutation puzzles and just enough group theory to solve them

Librairie Eyrolles - Paris 5e
Indisponible

Oval track and other permutation puzzles and just enough group theory to solve them

Oval track and other permutation puzzles and just enough group theory to solve them

306 pages, parution le 15/02/2004

Résumé

This book and the Permutation Puzzles Package of software that comes with it are the result of over ten years of development and classroom testing. The software presents the user with an array of computerized puzzles, plus tools to vary them in thousands of ways. The book provides the background needed to use the puzzle software to its fullest potential, and also gives the reader a gentle, not too technical introduction to just enough of the theory of permutation groups to fully understand how to solve puzzles of this type.

The Oval Track Puzzles presented in the software have numbered disks which can be moved around an oval-shaped track, and a single "Do Arrows" button that allows for changing just a few of them. Have the computer scramble the numbers, and see if you can get them back into place.

When you are ready to explore the mathematics that helps solve the puzzles, you will find what you need to know in the book. Learn about conjugates and commutators and you will be ready to devise strategies for getting the last few pieces into place, which is the hard part of the job.

In addition to the Oval Track Puzzles, the software package includes a version of the familiar "15" puzzle that you can modify in many ways, even to playing the puzzle on the surface of a cylinder or a torus. It also includes a computerized Hungarian Rings puzzle.

There are programmable macro buttons that you can use to perform sequences of steps of any length, and the package gives you the capability of storing macro programs and inventing your own ways to configure the puzzles.

The software is on the enclosed CD ROM in versions for both Windows and Macintosh operating systems.

Sommaire

  • Software Installation and a First Tour
  • An Overview of Oval Tracks
  • The Transpose Puzzle: An Introductory Tour
  • The Slide Puzzle: An Introductory Tour
  • The Hungarian Rings Puzzle: An Introductory Tour
  • Permutation Groups: Just Enough Definitions and Notation
  • Permutation Groups: Just Enough Theory
  • Cycles and Transpositions
  • The Parity Theorem
  • The Role of Conjugates
  • The Role of Commutators
  • Mastering the Oval Track Puzzle
  • Transferring Knowledge Between Puzzles
  • What a Difference a Disk Makes!: Changing the Number of Disks, and Using Maple or GAP
  • Mastering the Slide Puzzle
  • Mastering the Hungarian Rings with Numbers
  • Mastering the Hungarian Rings with Colors
  • Advanced Challenges
  • Using Puzzle Resources
  • Solutions and Hints for Selected Exercises Annotated List of Web and Print References Index
Voir tout
Replier

Caractéristiques techniques du livre "Oval track and other permutation puzzles and just enough group theory to solve them"

  PAPIER
Éditeur(s) The Mathematical Association of America (MAA)
Auteur(s) John O. Kiltinen
Parution 15/02/2004
Nb. de pages 306
Format 17,8 x 25,5
Couverture Broché
Poids 589g
Intérieur Noir et Blanc
EAN13 9780883857250
ISBN13 978-0-88385-725-0

Avantages Eyrolles.com

Livraison à partir de 0,01 en France métropolitaine (1)

Paiement en ligne SÉCURISÉ

Livraison dans le monde

Retour sous 15 jours

+ de 700 000 livres disponibles

satisfait ou remboursé
Satisfait ou remboursé
Paiement sécurisé
modes de paiement
Paiement à l'expédition
partout dans le monde
Livraison partout dans le monde
Service clients 0 321 79 56 75 sav@commande.eyrolles.com
librairie française
Librairie française depuis 1925