000 | a | ||
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999 |
_c32551 _d32551 |
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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 |