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Geometry Illuminated

An Illustrated Introduction to Euclidean and Hyperbolic Plane Geometry

Language EnglishEnglish
Book Hardback
Book Geometry Illuminated Matthew Harvey
Libristo code: 09511221
Publishers Mathematical Association of America, September 2015
An introduction to geometry in the plane, both Euclidean and hyperbolic, this book is designed for a... Full description
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An introduction to geometry in the plane, both Euclidean and hyperbolic, this book is designed for an undergraduate course in geometry. With its patient approach, and plentiful illustrations, it will also be a stimulating read for anyone comfortable with the language of mathematical proof. While the material within is classical, it brings together topics that are not generally found together in books at this level, such as: parametric equations for the pseudosphere and its geodesics; trilinear and barycentric coordinates; Euclidean and hyperbolic tilings; and theorems proved using inversion. The book is divided into four parts, and begins by developing neutral geometry in the spirit of Hilbert, leading to the Saccheri–Legendre Theorem. Subsequent sections explore classical Euclidean geometry, with an emphasis on concurrence results, followed by transformations in the Euclidean plane, and the geometry of the Poincaré disk model.

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About the book

Full name Geometry Illuminated
Language English
Binding Book - Hardback
Date of issue 2015
Number of pages 558
EAN 9781939512116
ISBN 1939512115
Libristo code 09511221
Weight 115
Dimensions 263 x 187 x 32
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