The universe of conics [electronic resource] : from the ancient Greeks to 21st century developments / Georg Glaeser, Hellmuth Stachel, Boris Odehnal.
2016
QA485
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Online Access
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Unlimited
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Can lend chapters, not whole ebooks
Details
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
3662454505 (electronic book)
9783662454497
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.
Odehnal, Boris, author.
Available in Other Form
Print version: 9783662454497
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Online Access
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Table of Contents
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.
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.