Universe of conics : from the ancient Greeks to 21st century developments
- Berlin : Springer, 2016
- viii, 488 p. ; ill., (some col.), 24 cm
Includes bibliographical references and index.
This text presents the classical theory of conics in a modern form. It includes many novel results that are not easily accessible elsewhere. The approach combines synthetic and analytic methods to derive projective, affine and metrical properties, covering both Euclidean and non-Euclidean geometries. With more than two thousand years of history, conic sections play a fundamental role in numerous fields of mathematics and physics, with applications to mechanical engineering, architecture, astronomy, design and computer graphics. This text will be invaluable to undergraduate mathematics students, those in adjacent fields of study, and anyone with an interest in classical geometry. Augmented with more than three hundred fifty figures and photographs, this innovative text will enhance your understanding of projective geometry, linear algebra, mechanics, and differential geometry, with careful exposition and many illustrative exercises.
9783662568811
Anti-holomorphic function Base points Bézier curve Coordinate vectors Cremona transformation Dupin cyclides Fano plane Focal points Homogeneous Cartesian coordinates Hyperosculating cylindse Osculating circle Parametrization Pedal curve Real projective plane Semimajor axis