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The Changing Shape of Geometry
Celebrating a Century of Geometry and Geometry Teaching
Collection of popular articles on geometry from distinguished mathematicians and educationalists.
Chris Pritchard (Edited by)
9780521824514, Cambridge University Press
Hardback, published 9 January 2003
560 pages, 300 b/w illus.
25.6 x 18 x 3.2 cm, 1.33 kg
'There are many hidden pearls, as well as some new or little-known proofs of well-known theorems, which will delight the enthusiast and convert the geometrophobe.' Mathematika
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.
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.
