The Changing Shape of Geometry
Celebrating a Century of Geometry and Geometry Teaching
- Editor: Chris Pritchard, The Mathematical Association
- Date Published: March 2003
- availability: This item is not supplied by Cambridge University Press in your region. Please contact Mathematical Association of America for availability.
- format: Paperback
- isbn: 9780521531627
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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.
Read more- Includes contributions from many distinguished mathematicians
- Articles on history, recreational geometry and desert island theorems give insights into some surprising and beautiful results
Reviews & endorsements
' … I would recommend this book to anyone who likes geometry; whatever level of experience you have with geometry, you are likely to enjoy the presentation of such a variety of geometrical ideas by the many prestigious authors.' Eureka
See more reviews'… this book impresses from a first look and never fails to amaze, entertain, educate and inform … this is a book that inspires, and part of the inspiration is that it contains what is probably Coxeter's last piece of writing on geometry. This is one reason amongst so many to buy this book. The Changing Shape of Geometry is, as it intends, a celebration and deserves celebrating as a masterly achievement.' Mathematics in School
'The book will provide many hours of enjoyment for any ehtusiast.' EMS Newsletter
'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
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×Product details
- Date Published: March 2003
- format: Paperback
- isbn: 9780521531627
- length: 560 pages
- copublisher: The Mathematical Association of America
- dimensions: 246 x 176 x 28 mm
- weight: 1.177kg
- contains: 300 b/w illus.
- availability: This item is not supplied by Cambridge University Press in your region. Please contact Mathematical Association of America for availability.
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.
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