Cover image for The changing shape of geometry : celebrating a century of geometry and geometry teaching
Title:
The changing shape of geometry : celebrating a century of geometry and geometry teaching
Author:
Pritchard, Chris, 1954-
Publication Information:
Cambridge, U.K. ; New York : Cambridge University Press, [2003]

©2003
Physical Description:
xviii, 541 pages : illustrations ; 26 cm.
Language:
English
Contents:
Pt. 1. The nature of geometry -- Desert island theorems group A: Greek geometry -- pt. 2. The history of geometry -- Desert island theorems group B: Elementary Euclidean geometry -- pt. 3. Pythagoras' theorem -- Desert island theorems group C: Advanced Euclidean geometry -- pt. 4. The golden ratio -- Desert island theorems group D: Non-Euclidean geometry & topology -- pt. 5. Recreational geometry -- Desert island theorems group E: Geometrical physics -- pt. 6. The teaching of geometry.
ISBN:
9780521824514

9780521531627
Format :
Book

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QA446 .C48 2003 Adult Non-Fiction Central Closed Stacks
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Summary

Summary

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 Squin, 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.


Table of Contents

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