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Oval Track and Other Permutation Puzzles（ISBN=9780883857250）书籍详细信息
- ISBN：9780883857250
- 作者：暂无作者
- 出版社：暂无出版社
- 出版时间：2003-10
- 页数：304
- 价格：407.20
- 纸张：胶版纸
- 装帧：平装
- 开本：16开
- 语言：未知
- 丛书：暂无丛书
- TAG：暂无
- 豆瓣评分：暂无豆瓣评分
内容简介：
Popular puzzles such as the Rubik's cube and so-called oval
track puzzles give a concrete representation to the theory of
permutation groups. They are relatively simple to describe in group
theoretic terms, yet present a challenge to anyone trying to solve
them. John Kiltinen shows how the theory of permutation groups can
be used to solve a range of puzzles. There is also an accompanying
CD that can be used to reduce the need for carrying out long
calculations and memorising difficult sequences of moves. This book
will prove useful as supplemental material for students taking
abstract algebra courses. It provides a real application of the
theory and methods of permutation groups, one of the standard
topics. It will also be of interest to anyone with an interest in
puzzles and a basic grounding in mathematics. The author has
provided plenty of exercises and examples to aid study.
? Gives a concrete representation to a standard topic in abstract
algebra ? Accompanying CD to help students solve complex puzzles ?
Requires only basic maths so ideal for puzzle enthusiasts
书籍目录：
1. An overview of oval tracks
2. The transpose puzzle: an introductory tour
3. The slide puzzle: an introductory tour
4. The Hungarian puzzle: an introductory tour
5. Permutation groups: just enough definitions and notation
6. Permutation groups: just enough theory
7. Cycles and transpositions
8. The parity theorem
9. The role of conjugates
10. The role of commutators
11. Mastering the oval track puzzle
12. Transferring knowledge between puzzles
13. What a difference a disk makes!: changing the number of disks,
and using Maple or GAP
14. Mastering the slide puzzle
15. Mastering the Hungarian rings with numbers
16. Mastering the Hungarian rings with colours
17. Advanced challenges
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书籍介绍
Popular puzzles such as the Rubik's cube and so-called oval track puzzles give a concrete representation to the theory of permutation groups. They are relatively simple to describe in group theoretic terms, yet present a challenge to anyone trying to solve them. John Kiltinen shows how the theory of permutation groups can be used to solve a range of puzzles. There is also an accompanying CD that can be used to reduce the need for carrying out long calculations and memorising difficult sequences of moves. This book will prove useful as supplemental material for students taking abstract algebra courses. It provides a real application of the theory and methods of permutation groups, one of the standard topics. It will also be of interest to anyone with an interest in puzzles and a basic grounding in mathematics. The author has provided plenty of exercises and examples to aid study.
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