| Description |
1 online resource (xv, 310 pages) : illustrations |
| Contents |
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 |
| Summary |
"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."--Publisher's description |
| Bibliography |
Includes bibliographical references (pages 299-304) and index |
| Notes |
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL |
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Print version record |
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digitized 2010 HathiTrust Digital Library committed to preserve pda MiAaHDL |
| Subject |
Group theory.
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Mathematical recreations.
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MATHEMATICS -- Group Theory.
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Group theory
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Mathematical recreations
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Unterhaltungsmathematik.
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Algebra -- Gruppe (Math.)
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Gruppe -- (Math.) -- Algebra.
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| Genre/Form |
Puzzles and games.
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| Form |
Electronic book
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| ISBN |
9780801897269 |
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0801897262 |
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