Geometry Illuminated
An Illustrated Introduction to Euclidean and Hyperbolic Plane Geometry (Mathematical Association of America Textbooks)
(Hardcover)

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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.

AuthorMatthew Harvey
BindingHardcover
EAN9781939512116
EditionIll
FormatImport
ISBN1939512115
Height1000 mm
Length700 mm
Width125 mm
LanguageEnglish
Language TypePublished
MPNillustrations
Number Of Pages558
Part Numberillustrations
Product GroupBook
Publication Date2015-09-30
PublisherThe Mathematical Association of America
StudioThe Mathematical Association of America
Sales Rank615828

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