Hidden connections, double meanings
著者
書誌事項
Hidden connections, double meanings
Cambridge University Press, 1988
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内容説明・目次
内容説明
This book subverts and surprises. It explores mathematical topics, finding amazing similarities and looking at familiar objects in new ways. It shows mathematics as something mysterious, intriguing and pleasurably puzzling. You do not need to be a mathematician to enjoy this book. The style is relaxed. It emphasises insight and imagination rather than technique. The book also includes many problems and puzzles for you to try, with hints and solutions.
目次
- Introduction
- 1. Exploding the image
- 2. The hidden image
- 3. Crystals
- 4. Circles and ellipses
- 5. Skeleton and structure
- 6. Taking the wider view
- 7. Invariants
- 8. Special cases
- 9. Summing up
- 10. Metaphors
- 11. One problem, many solutions
- 12. Pictures into numbers
- 13. A point of balance
- 14. Multiple meanings
- 15. Matching problems
- 16. The game of algebra
- 17. Pattern and illusion
- 18. Clarity, proof and certainty
- Hints for solutions to problems
- Solutions to problems.
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