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Euclidean and Non-Euclidean Geometries: Development and History
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Avg. Rating:♥♥♥♥♥
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This is a good text book. It has lots of clear worked out proofs of propostitions. Many of the exercises at the end of each lesson require that you find proofs of propostions mentioned in the text but were not proven. This book also has good drawings of shapes that explain what the propositions, theorems,and axioms mean. Since I am a student, I per... »
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Taxicab Geometry: An Adventure in Non-Euclidean Geometry
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Avg. Rating:♥♥♥♥♥
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I use the ideas in this book in my mathematics teaching in high school. Students learn to think of the world as Euclidean through most of their instruction; Taxicab Geoemetry gives teachers a very straghtforward way to introduce non-Eucliean Geometry. Admittedly, this book is not thorough, and it is very open ended (which I consider to be positive). Ne... »
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Geometry and the Imagination (CHEL/87.H) (AMS Chelsea Publishing)
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Avg. Rating:♥♥♥♥♥
List Price: $39.00
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This is a marvellous book. I will illustrate by one sample from each chapter (except chapter 1 on "the simplest curves and surfaces" which is the least exciting chapter). Chapter 2 on "regular system of points" contains a beautiful derivation of Leibnitz' series pi/4=1-1/3+1/5-1/7+... If we draw a large circle centred at the origin then of course a goo... »
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Mathematics and the Imagination
I am thoroughly enjoying the challenges to my brain that I am finding in this book. it was well worth the price I paid... »
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Non-Euclidean Geometry (Spectrum)
Originally published in 1942, this book has lost none of its power in the last half century. It is a commentary on the recent demise of geometry in many ... »
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