04091nam a22005175i 4500 978-3-662-70306-9 DE-He213 20251030114649.0 cr nn 008mamaa 241229s2024 gw | s |||| 0|eng d 9783662703069 978-3-662-70306-9 10.1007/978-3-662-70306-9 doi QA440-699 PBM bicssc MAT012000 bisacsh PBM thema Glaeser, Georg. author. aut http://id.loc.gov/vocabulary/relators/aut 89834 The Universe of Conics [electronic resource] : From the Ancient Greeks to 21st Century Developments / by Georg Glaeser, Hellmuth Stachel, Boris Odehnal. 2nd ed. 2024. Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2024. VIII, 580 p. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda 1 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. 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. Authors Georg Glaeser, born 1955, got his PhD and habilitation in geometry at the Vienna University of Technology, 1998-2023 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. 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 180 articles on geometry. 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, from 2023 full professor of geometry at the University of Applied Arts Vienna. Author of several dozens of publications on geometry. Geometry. 68763 Mathematics. 65523 Geometry. 68763 Applications of Mathematics. 65529 Stachel, Hellmuth. author. aut http://id.loc.gov/vocabulary/relators/aut 89835 Odehnal, Boris. author. aut http://id.loc.gov/vocabulary/relators/aut 89836 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783662703052 Printed edition: 9783662703076 Printed edition: 9783662703083 https://doi.org/10.1007/978-3-662-70306-9 ZDB-2-SMA ZDB-2-SXMS 66176 66176