Format:
Online-Ressource (VIII, 488 p. 350 illus, online resource)
Edition:
1st ed. 2016
ISBN:
9783662454503
Series Statement:
SpringerLink
Content:
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.
Content:
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 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.
Additional Edition:
ISBN 9783662454497
Additional Edition:
Erscheint auch als Druck-Ausgabe Glaeser, Georg, 1955 - The universe of conics Berlin : Springer Spektrum, 2016 ISBN 9783662454497
Additional Edition:
ISBN 9783662568811
Language:
English
Subjects:
Mathematics
Keywords:
Kegelschnitt
DOI:
10.1007/978-3-662-45450-3
URL:
Volltext
(lizenzpflichtig)
URL:
Volltext
(lizenzpflichtig)
Author information:
Glaeser, Georg 1955-
Author information:
Stachel, Hellmuth 1942-
Author information:
Odehnal, Boris 1973-
