A Course of Plane Geometry for Advanced Students, Vol. 2 (Classic Reprint) - Softcover

Durell, Clement Vavasor

 
9781330115084: A Course of Plane Geometry for Advanced Students, Vol. 2 (Classic Reprint)

Synopsis

This book on advanced plane geometry marks a paradigm shift in higher geometrical education. It bridges the gap between Euclidean methods and the more generalized ideas of modern projective geometry. The author's approach is unique in introducing students to the latest theoretical ideas at an early stage. Conic sections—the main subject of the book—are treated as the projections of circles, enabling the author to explore their properties from new and exciting angles. The author, whose deep respect for the history of mathematics shines through, provides an accessible introduction to the remarkable work of notable thinkers, such as Chasles, Cremona, Pascal, and Brianchon. The book's significance lies in its innovative fusion of analytical and geometrical perspectives. The author demonstrates how a judicious use of analytical methods, far from diminishing geometrical intuition, can open up a whole new dimension of understanding. Students will come away with a profound appreciation of conic sections that goes far beyond memorizing theorems.

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