Advanced Euclidean Geometry - Couverture souple

Livre 166 sur 303: Dover Books on Mathematics

Johnson, Roger A.

 
9780486462370: Advanced Euclidean Geometry

Synopsis

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.

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Autres éditions populaires du même titre

9780486788524: Advanced Euclidean Geometry

Edition présentée

ISBN 10 :  0486788520 ISBN 13 :  9780486788524
Couverture rigide