Adventures in Group Theory Rubik's Cube, Merlin's Machine, and Other Mathematical Toys
Edition: 2nd 2008
List price: $33.00
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Description: 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 enthusiasts but also makes a wonderful supplementary textbook.
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All the information you need in one place! Each Study Brief is a summary of one specific subject; facts, figures, and explanations to help you learn faster.
List price: $33.00
Copyright year: 2008
Publisher: Johns Hopkins University Press
Publication date: 12/1/2008
Size: 5.75" wide x 9.00" long x 1.00" tall
|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|