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Adventures in Group Theory Rubik's Cube, Merlin's Machine, and Other Mathematical Toys

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ISBN-10: 0801890136

ISBN-13: 9780801890130

Edition: 2nd 2008

Authors: David Joyner

List price: $35.00
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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 to explain topics in introductory algebra (matrices, combinatorics, and permutations) and group theory (Cayley graphs, symmetries, isomorphisms, wreath products, free groups, and finite fields). Joyner also offers strategies for solving the puzzles. The updated second edition uses SAGE, an open-source computer algebra system, to illustrate many of the computations. Adventures in Group Theory not only appeals to math…    
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Book details

List price: $35.00
Edition: 2nd
Copyright year: 2008
Publisher: Johns Hopkins University Press
Publication date: 12/29/2008
Binding: Paperback
Pages: 328
Size: 6.61" wide x 8.86" long x 0.96" tall
Weight: 1.100
Language: English

Where to begin...
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