Research Catalog

Title

The universe of conics : from the ancient Greeks to 21st century developments / Georg Glaeser, Hellmuth Stachel, Boris Odehnal.

Author

Glaeser, Georg

Publication

• Berlin : Springer Spektrum, [2016]
• ©2016

Items in the Library & Off-site

Details

Additional Authors

• Stachel, Hellmuth
• Odehnal, Boris, 1973-

Description

viii, 488 pages : illustrations (some color); 25 cm

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.

Subjects

• Conic sections
• Conics, Spherical

Bibliography (note)

• Includes bibliographical references and index.

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.

Call Number

JFE 16-10911

ISBN

• 9783662454497
• 3662454491

LCCN

2016932392

OCLC

907096260

Author

Glaeser, Georg, author.

Title

The universe of conics : from the ancient Greeks to 21st century developments / Georg Glaeser, Hellmuth Stachel, Boris Odehnal.

Publisher

Berlin : Springer Spektrum, [2016]

Copyright Date

©2016

Type of Content

text

Type of Medium

unmediated

Type of Carrier

volume

Bibliography

Includes bibliographical references and index.

Added Author

Stachel, Hellmuth, author.

Odehnal, Boris, 1973- author.

Research Call Number

JFE 16-10911