LEADER 04358nam 22006495 450 001 9910254070103321 005 20210729131306.0 010 $a3-662-45450-5 024 7 $a10.1007/978-3-662-45450-3 035 $a(CKB)3710000000627570 035 $a(SSID)ssj0001661355 035 $a(PQKBManifestationID)16438023 035 $a(PQKBTitleCode)TC0001661355 035 $a(PQKBWorkID)14989221 035 $a(PQKB)11356785 035 $a(DE-He213)978-3-662-45450-3 035 $a(MiAaPQ)EBC6314244 035 $a(MiAaPQ)EBC5576420 035 $a(Au-PeEL)EBL5576420 035 $a(OCoLC)1066188277 035 $a(PPN)192769731 035 $a(EXLCZ)993710000000627570 100 $a20160322d2016 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 14$aThe Universe of Conics $eFrom the ancient Greeks to 21st century developments /$fby Georg Glaeser, Hellmuth Stachel, Boris Odehnal 205 $a1st ed. 2016. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer Spektrum,$d2016. 215 $a1 online resource (VIII, 488 p. 350 illus.) 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-662-45449-1 327 $a1 Introduction -- 2 Euclidean plane -- 3 Differential Geometry -- 4 Eucledian 3-space -- 5 Projective Geometry -- 6 Projective conics -- 7 Polarities and pencils -- 8 Affine Geometry -- 9 Special problems -- 10 Other geometries -- Index. 330 $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 $aGeometry 606 $aApplied mathematics 606 $aEngineering mathematics 606 $aGeometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21006 606 $aApplications of Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M13003 615 0$aGeometry. 615 0$aApplied mathematics. 615 0$aEngineering mathematics. 615 14$aGeometry. 615 24$aApplications of Mathematics. 676 $a516.15 700 $aGlaeser$b Georg$4aut$4http://id.loc.gov/vocabulary/relators/aut$031804 702 $aStachel$b Hellmuth$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aOdehnal$b Boris$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254070103321 996 $aThe Universe of Conics$92162702 997 $aUNINA