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Adventures in Group Theory: Rubik's Cube, Merlin's Machine, and Other by Joyner
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Specificaties
- Objectstaat
- Book Title
- Adventures in Group Theory: Rubik's Cube, Merlin's Machine, and O
- Publication Date
- 2008-12-01
- Edition Number
- 2
- Pages
- 328
- ISBN
- 9780801890130
- Publication Name
- Adventures in Group Theory : Rubik's Cube, Merlin's Machine, and Other Mathematical Toys
- Item Length
- 8.9in
- Publisher
- Johns Hopkins University Press
- Publication Year
- 2008
- Type
- Textbook
- Format
- Trade Paperback
- Language
- English
- Item Height
- 1in
- Features
- New Edition
- Item Width
- 6.6in
- Item Weight
- 17.8 Oz
- Number of Pages
- 328 Pages
Over dit product
Product Information
David Joyner uses mathematical toys such as the Rubik's Cube to make abstract algebra and group theory fun. Joyner employs permutation puzzles such as the 15 puzzle, the Rainbow Masterball, the Pyraminx, the Skewb, the Megaminx, Merlin's Machine, and variants of the Rubik's Cube to explain topics in introductory algebra (matrices, combinatorics, and permutations) and group theory (Cayley graphs, symmetries, isomorphisms, wreath products, free groups, and finite fields). Joyner also offers strategies for solving the puzzles. The updated second edition uses SAGE, an open-source computer algebra system, to illustrate many of the computations. Adventures in Group Theory not only appeals to math enthusiasts but also makes a wonderful supplementary textbook.''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 or volume''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 or volume''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 or volume''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 or volume
Product Identifiers
Publisher
Johns Hopkins University Press
ISBN-10
0801890136
ISBN-13
9780801890130
eBay Product ID (ePID)
65924193
Product Key Features
Publication Name
Adventures in Group Theory : Rubik's Cube, Merlin's Machine, and Other Mathematical Toys
Format
Trade Paperback
Language
English
Features
New Edition
Publication Year
2008
Type
Textbook
Number of Pages
328 Pages
Dimensions
Item Length
8.9in
Item Height
1in
Item Width
6.6in
Item Weight
17.8 Oz
Additional Product Features
Lc Classification Number
Qa174.2.J69 2008
Grade from
College Freshman
Grade to
College Graduate Student
Edition Description
New Edition
Edition Number
2
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
Table of Content
PrefaceAcknowledgmentsWhere to Begin...1. Elementary, my dear Watson2. 'And you do addition?'3. Bell ringing and other permutations4. A procession of permutation puzzles5. What's commutative and purple?6. Welcome to the machine7. 'God's algorithm' and graphs8. Symmetry and the Platonic solids9. The illegal cube group10. Words which move11. The (legal) Rubik's Cube group12. Squares, two-faces, and other subgroups13. Other Rubik-like puzzle groups14. Crossing the Rubicon15. Some solution strategies16. Coda: Questions and other directionsBibliographyIndex
Copyright Date
2008
Target Audience
College Audience
Topic
Group Theory, Algebra / Abstract, Recreations & Games
Lccn
2008-011322
Dewey Decimal
512/.2
Dewey Edition
22
Illustrated
Yes
Genre
Mathematics
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