Adventures in group theory : Rubik's cube, Merlin's machine, and other mathematical toys /

"David Joyner uses mathematical toys such as the Rubik's Cube to make abstract algebra and group theory fun. Joyner employs permutation puzzles such as the 15 puzzle, the Rainbow Masterball, the Pyraminx, the Skewb, the Megaminx, Merlin's Machine, and variants of the Rubik's Cube...

Description complète

Détails bibliographiques
Cote:Libro Electrónico
Auteur principal: Joyner, David, 1959-
Format: Électronique eBook
Langue:Inglés
Publié: Baltimore : Johns Hopkins University Press, 2008.
Édition:2nd ed., Updated and rev. ed.
Sujets:
Group theory.
Mathematical recreations.
Théorie des groupes.
Jeux mathématiques.
MATHEMATICS > Group Theory.
Group theory
Mathematical recreations
Unterhaltungsmathematik.
Algebra > Gruppe (Math.)
Gruppe > (Math.) > Algebra.
Puzzles and games.
Accès en ligne:Texto completo
Table des matières:
  • Elementary, my dear Watson
  • 'And you do addition?'
  • Bell ringing and other permutations
  • A procession of permutation puzzles
  • What's commutative and purple?
  • Welcome to the machine
  • 'God's algorithm' and graphs
  • Symmetry and the Platonic solids
  • The illegal cube group
  • Words which move
  • The (legal) Rubik's cube group
  • Squares, two-faces, and other subgroups
  • Other Rubik-like puzzle groups
  • Crossing the Rubicon
  • Some solution strategies
  • Coda: Questions and other directions.

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