Adventures in Group Theory Rubik’s Cube Merlin’s Machine and Other Mathematical Toys 2nd Edition by David Joyner ISBN 0801890136 9780801890130

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Product details:

ISBN 10: 0801890136

ISBN 13: 978-0801890130

Author:  David Joyner 

Adventures in Group Theory: Rubik’s Cube, Merlin’s Machine, and Other Mathematical Toys 2nd Edition: 

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.

 

Adventures in Group Theory: Rubik’s Cube, Merlin’s Machine, and Other Mathematical Toys 2nd Edition Table of contents:

Chapter 1 Elementary, my dear Watson
Chapter 2 ‘And you do addition?’
Chapter 3 Bell ringing and other permutations
Chapter 4 A procession of permutation puzzles
Chapter 5 What’s commutative and purple?
Chapter 6 Welcome to the machine
Chapter 7 ‘God’s algorithm’ and graphs
Chapter 8 Symmetry and the Platonic solids
Chapter 9 The illegal cube group
Chapter 10 Words which move
Chapter 11 The (legal) Rubik’s Cube group
Chapter 12 Squares, two-faces, and other subgroups
Chapter 13 Other Rubik-like puzzle groups
Chapter 14 Crossing the Rubicon
Chapter 15 Some solution strategies
Chapter 16 Coda: Questions and other directions

 

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