Oval Track and Other Permutation Puzzles（ISBN=9780883857250） pmlz 2025 pdf 下载 kindle mobi docx 百度云

　　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

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.