Description
The Universe of Conics, Softcover reprint of the original 1st ed. 2016
From the ancient Greeks to 21st century developments
Authors: Glaeser Georg, Stachel Hellmuth, Odehnal Boris
Language: EnglishSubject for The Universe of Conics:
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Add to cart the print on demand of Glaeser Georg, Stachel Hellmuth, Odehnal BorisPublication date: 04-2018
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94.94 €
In Print (Delivery period: 15 days).
Add to cart the book of Glaeser Georg, Stachel Hellmuth, Odehnal BorisPublication date: 04-2016
488 p. · 16.8x24 cm · Hardback
Description
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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.
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.
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.
Clarifies different approaches to conics
Enriches understanding of a classical subject with a strong visual component
Maximizes readers' insight into differential and projective geometry and into kinematics
Broadens your understanding of geometry as a whole
Includes supplementary material: sn.pub/extras