The universe of conics [electronic resource] : from the ancient Greeks to 21st century developments / Georg Glaeser, Hellmuth Stachel, Boris Odehnal.
Glaeser, Georg, author.; Stachel, Hellmuth, author.; Odehnal, Boris, author.
2016
QA485
Available Online

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Title The universe of conics [electronic resource] : from the ancient Greeks to 21st century developments / Georg Glaeser, Hellmuth Stachel, Boris Odehnal.
Author Glaeser, Georg, author.
ISBN 9783662454503 (electronic book)
3662454505 (electronic book)
9783662454497
DOI https://doi.org/10.1007/978-3-662-45450-3
Published Berlin : Springer Spektrum, 2016.
Language English
Description 1 online resource (viii, 488 pages) : illustrations
Item Number 10.1007/978-3-662-45450-3 doi
Call Number QA485
Dewey Decimal Classification 516.2/152
Summary 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.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed March 30, 2016).
Added Author Stachel, Hellmuth, author.
Odehnal, Boris, author.
Available in Other Form Print version: 9783662454497
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Record Appears in Online Resources > Ebooks
All Resources
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.

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