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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Summary

Summary

Celebrating a century of geometry and geometry teaching, this volume includes popular articles on Pythagoras, the golden ratio and recreational geometry. Thirty "Desert Island Theorems" from distinguished mathematicians and educators disclose surprising results. (Contributors include a Nobel Laureate and a Pulitzer Prize winner.) Co-published with The Mathematical Association of America.


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