The Changing Shape of Geometry

Celebrating a Century of Geometry and Geometry Teaching

Gebonden Engels 2003 9780521824514
Verwachte levertijd ongeveer 9 werkdagen

Samenvatting

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 Séquin, 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.

Specificaties

ISBN13:9780521824514
Taal:Engels
Bindwijze:Gebonden
Aantal pagina's:560

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Inhoudsopgave

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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        The Changing Shape of Geometry