Adventures in group theory : Rubik's cube, Merlin's machine, and other mathematical toys / David Joyner.

Format:

Book

Author/Creator:

Joyner, David, 1959-

Language:

English

Subjects (All):

Group theory.

Mathematical recreations.

Physical Description:

1 online resource (329 p.)

Edition:

2nd ed., Updated and rev. ed.

Place of Publication:

Baltimore : Johns Hopkins University Press, 2008.

Summary:

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.

Contents:

Intro

Contents

Preface

Acknowledgments

Where to begin...

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

Bibliography

Index

A

B

C

D

E

F

G

H

I

J

K

L

M

N

O

P

Q

R

S

T

U

V

W

Y

Z.

Notes:

Includes bibliographical references (p. 299-304) and index.

ISBN:

0-8018-9726-2

OCLC:

542384209