A Course of Pure Geometry: Properties of the Conic Sections
by E.H. Askwith
Publisher: Cambridge University Press 1917
Number of pages: 314
The book does not assume any previous knowledge of the Conic Sections, which are here treated ab initio, on the basis of the definition of them as the curves of projection of a circle. Many of the properties of the Conic Sections which can only be established with great labour from their focus and directrix property are proved quite simply when the curves are derived directly from the circle.
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by Richard S. Palais - virtualmathmuseum.org
Contents: What is Geometry; Geometry of Inner-Product Spaces; Linear Maps and the Euclidean Group; Adjoints of Linear Maps and the Spectral Theorem; Differential Calculus on Inner-Product Spaces; Normed Spaces and Integration; ODE; and more.
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This is a text on 3-d Euclidean computational geometry intended to be used in engineering applications. On the other hand, the methods of Whitehead's algebra enable us to readily deal with Euclidean and non-Euclidean spaces of any dimension.
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