Geometry of Conics (Mathematical World) (Mathematical World,

Geometry of Conics (Mathematical World) (Mathematical World, 26)

The book is devoted to the properties of conics (plane curves of second degree) that can be formulated and proved using only elementary geometry. Starting with the well-known optical properties of conics, the authors move to less trivial results, both classical and contemporary. In particular, the chapter on projective properties of conics contains a detailed analysis of the polar correspondence, pencils of conics, and the Poncelet theorem. In the chapter on metric properties of conics the authors discuss, in particular, inscribed conics, normals to conics, and the Poncelet theorem for confocal ellipses. The book demonstrates the advantage of purely geometric methods of studying conics. It contains over 50 exercises and problems aimed at advancing geometric intuition of the reader. The book also contains more than 100 carefully prepared figures, which will help the reader to better understand the material presented
Country USA
Manufacturer American Mathematical Society
Binding Paperback
ItemPartNumber Illustrated
UnitCount 1
EANs 9780821843239
ReleaseDate 0000-00-00

Country	USA
Manufacturer	American Mathematical Society
Binding	Paperback
ItemPartNumber	Illustrated
UnitCount	1
EANs	9780821843239
ReleaseDate	0000-00-00

Geometry of Conics (Mathematical World) (Mathematical World, 26)