Paperback / softback
December 1, 2008
9780801890130
English
328
6 halftones
9.00 Inches (US)
6.00 Inches (US)
1.05 Pounds (US)
1.05 Pounds (US)
$33.00 USD, £24.50 GBP
v2.1 Reference
Electronic book text
December 5, 2008
9780801897269
9780801890123
English
328
6 halftones
9.00 Inches (US)
6.00 Inches (US)
$33.00 USD, £24.50 GBP
v2.1 Reference

Adventures in Group Theory, second edition

Rubik's Cube, Merlin's Machine, and Other Mathematical Toys

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.

About the Author

David Joyner is a professor of mathematics at the U.S. Naval Academy. He is coauthor of Applied Abstract Algebra, also published by Johns Hopkins, and editor of Coding Theory and Cryptography: From Enigma and Geheimschreiber to Quantum Theory.

Reviews

"Adventures in Group Theory is a tour through the algebra of several 'permutation puzzles' . . . If you like puzzles, this is a somewhat fun book. If you like algebra, this is a fun book. If you like puzzles and algebra, this is a really fun book."—MAA Online, reviewing a previous edition

"Joyner has collated all the Rubik lore and integrated it with a self-contained introduction to group theory that equals or, more likely, exceeds what is available in typical dedicated elementary texts."—Choice, reviewing a previous edition

"Joyner does convey some of the excitement and adventure in picking up knowledge of group theory by trying to understand Rubik's Cube. Enthusiastic students will learn a lot of mathematics from this book."—American Scientist, reviewing a previous edition

"The book begins with some lecture notes of discrete mathematics and group theory. These theoretical notions are very nicely applied to some practical problems, e.g.: Rubik's cube, Rubik-like puzzle groups, crossing the rubicon, God's algorithm and graphs. The work ends with a rich bibliography and index."—Zentralblatt Math, reviewing a previous edition

The Johns Hopkins University Press
second edition

9780801890130 : adventures-in-group-theory-2nd-edition-joyner
Paperback / softback
328 Pages
$33.00 USD
9780801897269 : adventures-in-group-theory-2nd-edition-joyner
Electronic book text
328 Pages
$33.00 USD

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