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020 _a9783662703069
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024 7 _a10.1007/978-3-662-70306-9
_2doi
050 4 _aQA440-699
072 7 _aPBM
_2bicssc
072 7 _aMAT012000
_2bisacsh
072 7 _aPBM
_2thema
100 1 _aGlaeser, Georg.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_989834
245 1 4 _aThe Universe of Conics
_h[electronic resource] :
_bFrom the Ancient Greeks to 21st Century Developments /
_cby Georg Glaeser, Hellmuth Stachel, Boris Odehnal.
250 _a2nd ed. 2024.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c2024.
300 _aVIII, 580 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _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.
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. 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.
650 0 _aGeometry.
_968763
650 0 _aMathematics.
_965523
650 1 4 _aGeometry.
_968763
650 2 4 _aApplications of Mathematics.
_965529
700 1 _aStachel, Hellmuth.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_989835
700 1 _aOdehnal, Boris.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_989836
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783662703052
776 0 8 _iPrinted edition:
_z9783662703076
776 0 8 _iPrinted edition:
_z9783662703083
856 4 0 _uhttps://doi.org/10.1007/978-3-662-70306-9
912 _aZDB-2-SMA
912 _aZDB-2-SXMS
999 _c66176
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