Advanced Euclidean Geometry (Dover Books on Mathematics) (Paperback)

Advanced Euclidean Geometry (Dover Books on Mathematics) By Roger a. Johnson Cover Image
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Description


For many years, this elementary treatise on advanced Euclidean geometry has been the standard textbook in this area of classical mathematics; no other book has covered the subject quite as well. It explores the geometry of the triangle and the circle, concentrating on extensions of Euclidean theory, and examining in detail many relatively recent theorems. Several hundred theorems and corollaries are formulated and proved completely; numerous others remain unproved, to be used by students as exercises.
The author makes liberal use of circular inversion, the theory of pole and polar, and many other modern and powerful geometrical tools throughout the book. In particular, the method of directed angles offers not only a powerful method of proof but also furnishes the shortest and most elegant form of statement for several common theorems. This accessible text requires no more extensive preparation than high school geometry and trigonometry.


Product Details
ISBN: 9780486462370
ISBN-10: 0486462374
Publisher: Dover Publications
Publication Date: August 31st, 2007
Pages: 336
Language: English
Series: Dover Books on Mathematics