000 02836nam 2200313| 4500
001 84619
005 20211214115533.0
010 _a978-3-662-45450-3
_dcompra
090 _a84619
100 _a20190128d2016 k||y0pory50 ba
101 _aeng
102 _aDE
200 _aThe universe of conics
_bDocumento eletrónico
_efrom the ancient greeks to 21st century developments
_fGeorg Glaeser, Hellmuth Stachel, Boris Odehnal
210 _aBerlin, Heidelberg
_cSpringer
_d2016
215 _aVIII, 488 p.
_cil.
300 _aColocação: Online
303 _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. Authors Hellmuth Stachel, born 1942, got his PhD and habilitation in geometry in Graz. 1978 full professor at the Mining University Leoben, 1980-2011 full professor of geometry at the Vienna University of Technology. Coauthor of several books on mathematics and computational geometry and of more than 120 articles on geometry. Georg Glaeser, born 1955, got his PhD and habilitation in geometry at the Vienna University of Technology. Since 1998 full professor of geometry at the University of Applied Arts Vienna. Author and coauthor of more than a dozen books on geometry, mathematics, computational geometry, computer graphics, and photography. Boris Odehnal, born 1973, got his PhD and habilitation in geometry at the Vienna University of Technology. 2011-2012 professor at the Dresden University of Technology, since 2012 lecturer of geometry at the University of Applied Arts Vienna. Author of several dozens of publications on geometry.
606 _aGeometria
606 _aMatemática
680 _aQA443
700 _aGlaeser
_bGeorg
701 _aStachel
_bHellmuth
_4070
_913305
701 _aOdehnal
_bBoris
_4070
_933928
801 _gRPC
_aPT
856 _uhttps://doi.org/10.1007/978-3-662-45450-3
942 _2lcc
_cF
_n0