The changing shape of geometry : celebrating a century of geometry and geometry teaching
著者
書誌事項
The changing shape of geometry : celebrating a century of geometry and geometry teaching
（MAA spectrum）
Cambridge University Press, 2003
- : hard
- : pbk
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注記
Includes bibliographical references
内容説明・目次
内容説明
Celebrating a century of geometry and geometry teaching, this book will give the reader an enjoyable insight into all things geometrical. There are a wealth of popular articles including sections on Pythagoras, the golden ratio and recreational geometry. Historical items, drawn principally from the Mathematical Gazette, are authored by mathematicians such as G. H. Hardy, Rouse Ball, Thomas Heath and Bertrand Russell as well as some more recent expositors. Thirty 'Desert Island Theorems' from distinguished mathematicians and educationalists give light to some surprising and beautiful results. Contributors include H. S. M. Coxeter, Michael Atiyah, Tom Apostol, Solomon Golomb, Keith Devlin, Nobel Laureate Leon Lederman, Carlo Sequin, Simon Singh, Christopher Zeeman and Pulitzer Prizewinner Douglas Hofstadter. The book also features the wonderful Eyeball Theorems of Peruvian geometer and web designer, Antonio Gutierrez. For anyone with an interest in mathematics and mathematics education this book will be an enjoyable and rewarding read.
目次
- Introduction
- 1. The nature of geometry
- 2. Desert island theorems - Greek geometry
- 3. The history of geometry
- 4. Desert island theorems - elementary Euclidean geometry
- 5. Pythagoras' theorem
- 6. Desert island theorems - advanced Euclidean geometry
- 7. The golden ratio
- 8. Desert island theorems - non-Euclidean geometry and topology
- 9. Recreational geometry
- 10. Desert island theorems - geometrical physics
- 11. The teaching of geometry
- Appendices.
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