Adventures in Group Theory: Rubik's Cube, Merlin's Machine, and Other Mathematical Toys (Paperback)
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Short Description for Adventures in Group Theory Uses mathematical toys such as the Rubik's Cube to make abstract algebra and group theory fun. This book 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 and group theory.
- Published: 05 December 2008
- Format: Paperback 330 pages
- ISBN 13: 9780801890130 ISBN 10: 0801890136
- Sales rank: 246,710
Full description for Adventures in Group Theory
This updated and revised edition of David Joyner's entertaining "hands-on" tour of group theory and abstract algebra brings life, levity, and practicality to the topics through mathematical toys. Joyner uses permutation puzzles such as the Rubik's Cube and its variants, the 15 puzzle, the Rainbow Masterball, Merlin's Machine, the Pyraminx, and the Skewb to explain the basics of introductory algebra and group theory. Subjects covered include the Cayley graphs, symmetries, isomorphisms, wreath products, free groups, and finite fields of group theory, as well as algebraic matrices, combinatorics, and permutations. Featuring strategies for solving the puzzles and computations illustrated using the SAGE open-source computer algebra system, the second edition of Adventures in Group Theory is perfect for mathematics enthusiasts and for use as a supplementary textbook.