Adventures in Group Theory- Rubik's Cube, Merlin's Machine,

ISBN: 0801890128

Category: Uncategorized


Posted on 2010-06-06. By anonymous.

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Books : Misc. Educational : English
Adventures in Group Theory: Rubik's Cube, Merlin's Machine, and Other Mathematical Toys 2nd Edition
Author: David Joyner
The Johns Hopkins University Press 2008-12-01
ISBN: 0801890128 328 pages PDF

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.

From the preface:
This book grew out of a combined fascination with games and mathematics, from a desire to marry 'play'
with 'work' in a sense. It pursues playing with mathematics and working with games. In particular,
abstract algebra is developed and used to study certain toys and games from a mathematical modeling
perspective. All the abstract algebra needed to understand the mathematics behind the Rubik's Cube,
Lights Out, and many other games is developed here.
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