Adventures in Group Theory: Rubik's Cube, Merlin's Machine, and Other Mathematical Toys

by David Joyner

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.

Genres: Mathematics, Nonfiction, Reference

328 pages, Paperback

First published January 1, 2002

Reviews

[Ami Iida · Rating 5 out of 5]

It's the story of group theory rather than Rubik cube and 15 puzzle.
You can learn about group theory,determinant,topology etc........

[Andrew · Rating 3 out of 5]

An interesting concept for sure. I had actually been hunting for a mathematical description of the Rubik's Cube (being both a cuber and a geek) and this is the first real one I found.

Sadly, the book is terribly incomplete. Joyner fails time and time again to explain crucial information, particularly with his algebra forumlae, and also frequently tells the reader to go read someone else's work for an explanation that probably could've been done himself in a paragraph or two.

[Andrea Frazier · Rating 3 out of 5]

I'm looking for someone who's used this book in a second semester (or second-quarter) algebra course.

[Andrea Frazier · Rating 3 out of 5]

I'd be interested in hearing from someone who used this in a second course in abstract algebra.

[Mattias Lundell · Rating 2 out of 5]

Some parts * other parts *****