000 a
999 _c32551
_d32551
008 230901b xxu||||| |||| 00| 0 eng d
020 _a9783662568811
082 _a516.2152
_bGLA
100 _aGlaeser, Georg
245 _aUniverse of conics : from the ancient Greeks to 21st century developments
260 _bSpringer,
_c2016
_aBerlin :
300 _aviii, 488 p. ;
_bill., (some col.),
_c24 cm
365 _b64.99
_cEUR
_d94.90
504 _aIncludes bibliographical references and index.
520 _aThis 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.
650 _aAnti-holomorphic function
650 _aBase points
650 _aBézier curve
650 _aCoordinate vectors
650 _aCremona transformation
650 _aDupin cyclides
650 _aFano plane
650 _aFocal points
650 _aHomogeneous Cartesian coordinates
650 _aHyperosculating cylindse
650 _aOsculating circle
650 _aParametrization
650 _aPedal curve
650 _a Real projective plane
650 _a Semimajor axis
700 _aStachel, Hellmuth
700 _aOdehnal, Boris
942 _2ddc
_cBK