Geometric Transformations: Volume 4, Circular Transformations
(Part of the Anneli Lax New Mathematical Library Series)
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The familiar plane geometry of secondary school - figures composed of lines and circles - takes on a new life when viewed as the study of properties that are preserved by special groups of transformations. No longer is there a single, universal geometry: different sets of transformations of the plane correspond to intriguing, disparate geometries. This book is the concluding Part IV of Geometric Transformations, but it can be studied independently of Parts I, II, and III. The present Part IV develops the geometry of transformations of the plane that map circles to circles (conformal or anallagmatic geometry). The notion of inversion, or reflection in a circle, is the key tool employed. Applications include ruler-and-compass constructions and the Poincar? model of hyperbolic geometry. The straightforward, direct presentation assumes only some background in elementary geometry and trigonometry.
Format:Paperback
Language:English
ISBN:0883856484
ISBN13:9780883856482
Release Date:December 2009
Publisher:Mathematical Association of America (MAA)
Length:293 Pages
Weight:0.90 lbs.
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