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    Adventures in Group Theory: Rubik's Cube, Merlin's Machine, and Other Mathematical Toys (Paperback) By (author) David Joyner

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    DescriptionThis 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.

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  • Full bibliographic data for Adventures in Group Theory

    Adventures in Group Theory
    Rubik's Cube, Merlin's Machine, and Other Mathematical Toys
    Authors and contributors
    By (author) David Joyner
    Physical properties
    Format: Paperback
    Number of pages: 330
    Width: 152 mm
    Height: 229 mm
    Thickness: 18 mm
    Weight: 486 g
    ISBN 13: 9780801890130
    ISBN 10: 0801890136

    BIC E4L: MAT
    Nielsen BookScan Product Class 3: S7.8
    B&T Book Type: NF
    B&T Modifier: Region of Publication: 01
    B&T Modifier: Academic Level: 01
    B&T General Subject: 710
    LC subject heading:
    B&T Merchandise Category: POD
    Ingram Subject Code: MA
    Warengruppen-Systematik des deutschen Buchhandels: 26280
    LC subject heading:
    BISAC V2.8: MAT025000
    B&T Approval Code: A51030000
    BISAC V2.8: MAT014000
    BIC subject category V2: PBG
    LC subject heading:
    DC22: 512.2
    LC subject heading:
    DC22: 512/.2
    B&T Approval Code: A51353000
    LC classification: QA174.2 .J69 2008, 2008011322
    Thema V1.0: WDKN, PBG
    2, Revised
    Edition statement
    2nd Revised edition
    Illustrations note
    1, black & white illustrations
    Imprint name
    Publication date
    05 December 2008
    Publication City/Country
    Baltimore, MD
    Author Information
    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.
    Review quote
    "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 "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 "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"