The Changing Shape of Geometry: Celebrating a Century of Geometry and Geometry Teaching

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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.

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Editorial Reviews

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"...a fascinating compilation of articles...This is a book that will appeal to a broad range of readers, including students and teachers of mathematics, mathematical amateurs, and active researchers. In short, this is a serious candidate for your 'desert island book'." Mathematical Reviews

"This book is a source of intellectual delight and can easily be dipped into during one's leisure moments ... Allowed to browse, the curious young person will surely find much here to read with delight." American Scientish

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Product Details

  • ISBN-13: 9780521824514
  • Publisher: Cambridge University Press
  • Publication date: 3/1/2003
  • Pages: 560
  • Product dimensions: 6.85 (w) x 9.72 (h) x 1.18 (d)

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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